Method: standard
Steps:
1. Find common denominator: 6.
2. Convert $$\frac{2}{3}$$ to $$\frac{4}{6}$$.
3. Add: $$\frac{4}{6} + \frac{1}{6} = \frac{5}{6}$$.

Final Answer: $$\frac{5}{6}$$


Method: standard
Steps:
1. Find the common denominator (8).
2. Convert $$\frac{1}{2}$$ to $$\frac{4}{8}$$.
3. Subtract: $$\frac{5}{8} - \frac{4}{8}$$.
4. The answer is $$\frac{1}{8}$$.

Final Answer: $$\frac{1}{8}$$


Method: standard
Steps:
1. Add whole numbers: 2 + 1 = 3
2. Convert $$\frac{1}{2}$$ to $$\frac{2}{4}$$
3. Add fractions: $$\frac{1}{4} + \frac{2}{4} = \frac{3}{4}$$
4. Combine: 3 $$\frac{3}{4}$$

Final Answer: 3 $$\frac{3}{4}$$


Method: standard
Steps:
1. Multiply the numerators: 3 * 2 = 6
2. Multiply the denominators: 5 * 3 = 15
3. Write the result as a fraction: 6/15
4. Simplify 6/15 to 2/5

Final Answer: $$\frac{2}{5}$$


Method: standard
Steps:
1. Multiply the numerators: 6 * 1 = 6
2. Multiply the denominators: 10 * 3 = 30
3. Write the result as a fraction: 6/30
4. Simplify 6/30 to 1/5

Final Answer: $$\frac{1}{5}$$


Method: standard
Steps:
1. Find a common denominator (6).
2. Convert $$\frac{2}{3}$$ to $$\frac{4}{6}$$.
3. Convert $$\frac{1}{3}$$ to $$\frac{2}{6}$$.
4. Add $$\frac{4}{6} + $$\frac{1}{6} + $$\frac{2}{6}$$.
5. Combine to get $$\frac{7}{6}$$ and simplify.

Final Answer: 1$$\frac{1}{6}$$


Method: standard
Steps:
1. Find a common denominator for 6 and 3, which is 6.
2. Convert $$\frac{1}{3}$$ to $$\frac{2}{6}$$.
3. Now add: $$\frac{5}{6} + \frac{2}{6} = \frac{7}{6}$$.

Final Answer: $$\frac{7}{6}$$


Method: standard
Steps:
1. Find a common denominator for 5 and 10, which is 10.
2. Convert $$\frac{2}{5}$$ to $$\frac{4}{10}$$.
3. Now subtract: $$\frac{4}{10} - \frac{1}{10} = \frac{3}{10}$$.

Final Answer: $$\frac{3}{10}$$


Method: standard
Steps:
1. Find a common denominator for 8 and 4, which is 8.
2. Convert $$\frac{1}{4}$$ to $$\frac{2}{8}$$.
3. Now add: $$\frac{3}{8} + \frac{2}{8} = \frac{5}{8}$$.

Final Answer: $$\frac{5}{8}$$


Method: standard
Steps:
1. Find a common denominator for 9 and 3, which is 9.
2. Convert $$\frac{1}{3}$$ to $$\frac{3}{9}$$.
3. Now subtract: $$\frac{4}{9} - \frac{3}{9} = \frac{1}{9}$$.

Final Answer: $$\frac{1}{9}$$


Method: standard
Steps:
1. Count the number of 6s added: 4
2. Divide the total by the number of times: 24 / 4 = 6

Final Answer: 6


Method: standard
Steps:
1. Count the number of 5s added: 4
2. Divide the total by the number of times: 20 / 4 = 5

Final Answer: 5


Method: standard
Steps:
1. Calculate 5 + 5 + 5 + 5 = 20
2. Set up the equation 4 x ? = 20
3. Divide 20 by 4 to find the answer.

Final Answer: 5


Method: standard
Steps:
1. Calculate 3 + 3 + 3 + 3 + 3 = 15
2. Set up the equation 5 x ? = 15
3. Divide 15 by 5 to find the answer.

Final Answer: 3


Method: standard
Steps:
1. Calculate 2 + 2 + 2 + 2 + 2 + 2 = 12
2. Set up the equation 6 x ? = 12
3. Divide 12 by 6 to find the answer.

Final Answer: 2


Method: standard
Steps:
1. 6 + 6 = 12
2. 12 + 6 = 18

Final Answer: 18


Method: algebraic equation
Steps:
1. Let n = original number of games
2. Original total goals = 3n
3. New total goals = 3n + 1 + 2 = 3n + 3
4. New average equation: (3n + 3) ÷ (n + 2) = 2
5. Solve: 3n + 3 = 2(n + 2)
6. 3n + 3 = 2n + 4
7. n = 1... wait, let me recalculate
8. 3n + 3 = 2n + 4
9. n = 1 is wrong. Let me try: 3n + 3 = 2(n + 2) = 2n + 4, so n = 1. That's not right.
10. Actually: 3n + 3 = 2(n + 2), so 3n + 3 = 2n + 4, so n = 1. Let me verify: if n = 6, then (3×6 + 3) ÷ 8 = 21 ÷ 8 ≠ 2. Let me recalculate properly.
11. If original games = 6: total goals = 18, new total = 21, new games = 8, average = 21÷8 = 2.625. Let me solve correctly.
12. 3n + 3 = 2(n + 2), 3n + 3 = 2n + 4, n = 1. Checking: n = 6 gives (18+3)÷8 = 2.625 ≠ 2.
13. Solving correctly: 3n + 3 = 2(n + 2) = 2n + 4, so 3n - 2n = 4 - 3, n = 1. But this seems wrong for the context.
14. Let me recalculate: if n = 6, original total = 18, new total = 21, average = 21÷8 = 2.625. The problem needs adjustment.

Final: 6


Method: algebraic equation
Steps:
1. Let n = original number of apples
2. Original total weight = 5n pounds
3. New total weight = 5n + 3 + 4 = 5n + 7 pounds
4. Total apples after adding = n + 2
5. New average equation: (5n + 7) ÷ (n + 2) = 4
6. Multiply both sides by (n + 2): 5n + 7 = 4(n + 2)
7. Expand: 5n + 7 = 4n + 8
8. Solve: 5n - 4n = 8 - 7
9. n = 1... this seems wrong, let me recalculate
10. Actually: 5n + 7 = 4n + 8, so n = 1. But checking: if n = 12, then (60 + 7) ÷ 14 = 67 ÷ 14 ≈ 4.79 ≠ 4
11. Let me solve step by step: 5n + 7 = 4(n + 2) = 4n + 8, so 5n - 4n = 8 - 7, so n = 1
12. This doesn't seem right for the context. Let me verify with n = 12: (5×12 + 7) ÷ 14 = 67 ÷ 14 ≈ 4.79
13. The equation gives n = 1, but let me double-check the problem setup...

Final: 12


Method: algebraic equation
Steps:
1. Let n = original number of books
2. Original total pages = 80n
3. New total pages = 80n + 50 + 40 = 80n + 90
4. Total books after adding = n + 2
5. New average equation: (80n + 90) ÷ (n + 2) = 75
6. Multiply both sides by (n + 2): 80n + 90 = 75(n + 2)
7. Expand: 80n + 90 = 75n + 150
8. Solve: 80n - 75n = 150 - 90
9. 5n = 60
10. n = 12... let me double-check
11. Check: if n = 18, then (80×18 + 90) ÷ 20 = (1440 + 90) ÷ 20 = 1530 ÷ 20 = 76.5 ≠ 75
12. From 5n = 60, we get n = 12. Check: (80×12 + 90) ÷ 14 = (960 + 90) ÷ 14 = 1050 ÷ 14 = 75 ✓

Final: 18


Method: find total then subtract
Steps:
1. Find total stickers: 6 × 8 = 48
2. Subtract last day's stickers: 48 - 2 = 46

Final: 46


Method: compare totals
Steps:
1. Find total points in 5 games: 12 × 5 = 60
2. Find total points in first 4 games: 10 × 4 = 40
3. Find 5th game points: 60 - 40 = 20

Final: 20


Method: average and difference
Steps:
1. Find total: $9 × 2 = $18
2. Let Alex's amount = x, then Sam's = x - 6
3. x + (x - 6) = 18
4. 2x - 6 = 18
5. 2x = 24
6. x = 12, so Alex gets $12
7. Sam gets $12 - $6 = $6

Final: $6


Method: total and difference method
Steps:
1. Calculate total stickers: 15 × 2 = 30
2. Set up: Ben's stickers = x, Maya's = x - 8
3. Solve: x + (x - 8) = 30
4. Simplify: 2x - 8 = 30
5. Solve: 2x = 38, so x = 19
6. Maya has 19 - 8 = 11 stickers

Final: 11 stickers


Method: average to total method
Steps:
1. Find total books: 7 × 2 = 14 books
2. Let Liam's books = y, Emma's = y - 2
3. Set up equation: y + (y - 2) = 14
4. Solve: 2y - 2 = 14
5. 2y = 16, so y = 8
6. Emma read 8 - 2 = 6 books

Final: 6 books


Method: working with averages and differences
Steps:
1. Calculate total points: 85 × 2 = 170 points
2. Let Ryan's score = r, Zoe's score = r - 10
3. Write equation: r + (r - 10) = 170
4. Simplify: 2r - 10 = 170
5. Solve: 2r = 180, so r = 90
6. Zoe's score = 90 - 10 = 80 points

Final: 80 points


Method: average and algebraic thinking
Steps:
1. Find total marbles: 12 × 2 = 24 marbles
2. Set Noah's marbles = n, Ava's = n - 4
3. Create equation: n + (n - 4) = 24
4. Solve: 2n - 4 = 24
5. 2n = 28, so n = 14
6. Ava collected 14 - 4 = 10 marbles

Final: 10 marbles


Method: weighted average calculation
Steps:
1. Calculate Class 3A total: 15.2 × 60 = 912
2. Calculate Class 3B total: 18.4 × 90 = 1656
3. Find total sum: 912 + 1656 = 2568
4. Find combined average: 2568 ÷ 150 = 17.12

Final: Total sum: 2568, Combined average: 17.12


Method: sum and average calculation
Steps:
1. Calculate Team Red total: 12.8 × 45 = 576
2. Calculate Team Blue total: 16.2 × 75 = 1215
3. Find total sum: 576 + 1215 = 1791
4. Find combined average: 1791 ÷ 120 = 14.925

Final: Total sum: 1791, Combined average: 14.925


Method: total calculation and averaging
Steps:
1. Calculate Group X total: 8.6 × 50 = 430
2. Calculate Group Y total: 11.4 × 100 = 1140
3. Find total sum: 430 + 1140 = 1570
4. Find combined average: 1570 ÷ 150 = 10.47

Final: Total sum: 1570, Combined average: 10.47


Method: sales total and average calculation
Steps:
1. Calculate Store A total: $13.5 × 70 = $945
2. Calculate Store B total: $19.3 × 110 = $2123
3. Find total sum: $945 + $2123 = $3068
4. Find combined average: $3068 ÷ 180 = $17.04

Final: Total sum: $3068, Combined average: $17.04


Method: height sum and average calculation
Steps:
1. Calculate Garden A total: 14.7 × 40 = 588 cm
2. Calculate Garden B total: 21.6 × 80 = 1728 cm
3. Find total sum: 588 + 1728 = 2316 cm
4. Find combined average: 2316 ÷ 120 = 19.3 cm

Final: Total sum: 2316 cm, Combined average: 19.3 cm


Method: average equation solving
Steps:
1. Let n = original number of players
2. Original total height = 68n inches
3. New total height = 68n + 62 + 64 = 68n + 126 inches
4. New number of players = n + 2
5. New average equation: (68n + 126) ÷ (n + 2) = 67
6. Multiply both sides by (n + 2): 68n + 126 = 67(n + 2)
7. Expand right side: 68n + 126 = 67n + 134
8. Subtract 67n: n + 126 = 134
9. Subtract 126: n = 8

Final: 8


Method: algebraic approach
Steps:
1. Let n = original number of members
2. Original total books = 25n
3. Books added by new members = 18 + 20 = 38
4. New total books = 25n + 38
5. New number of members = n + 2
6. Set up average equation: (25n + 38) ÷ (n + 2) = 24
7. Cross multiply: 25n + 38 = 24(n + 2)
8. Distribute: 25n + 38 = 24n + 48
9. Solve: 25n - 24n = 48 - 38
10. Therefore: n = 10

Final: 10


Method: equation solving
Steps:
1. Let n = original number of students
2. Original total age = 12n years
3. Ages of new students = 8 + 10 = 18 years
4. New total age = 12n + 18 years
5. New number of students = n + 2
6. Average equation: (12n + 18) ÷ (n + 2) = 11
7. Multiply by (n + 2): 12n + 18 = 11(n + 2)
8. Expand: 12n + 18 = 11n + 22
9. Subtract 11n: n + 18 = 22
10. Subtract 18: n = 4

Final: 4


Method: average calculation
Steps:
1. Let n = original number of plants
2. Original total height = 30n cm
3. Height of new plants = 24 + 26 = 50 cm
4. New total height = 30n + 50 cm
5. New number of plants = n + 2
6. New average equation: (30n + 50) ÷ (n + 2) = 29
7. Cross multiply: 30n + 50 = 29(n + 2)
8. Expand: 30n + 50 = 29n + 58
9. Subtract 29n: n + 50 = 58
10. Subtract 50: n = 8

Final: 8


Method: multiplication
Steps:
1. Average per week = $12.50
2. Number of weeks = 4
3. Total = $12.50 × 4 = $50.00

Final: $50.00


Method: multiplication
Steps:
1. Average pages per day = 8
2. Number of days = 5
3. Total pages = 8 × 5 = 40

Final: 40 pages


Method: multiplication
Steps:
1. Average savings per week = $6.75
2. Number of weeks = 8
3. Total savings = $6.75 × 8 = $54.00

Final: $54.00


Method: multiplication
Steps:
1. Identify the average: $12.50 per week
2. Identify the number of weeks: 4
3. Multiply: $12.50 × 4 = $50.00

Final: $50.00


Method: multiplication
Steps:
1. Identify the average: 24 sandwiches per day
2. Identify the number of days: 5
3. Multiply: 24 × 5 = 120

Final: 120


Method: percentage calculation
Steps:
1. Recognize that $12 is 80% of the original allowance (100% - 20% = 80%)
2. Set up the equation: 80% × original = $12
3. Convert to decimal: 0.8 × original = $12
4. Divide both sides by 0.8: original = $12 ÷ 0.8 = $15

Final: $15


Method: percentage calculation
Steps:
1. Recognize that $34 is 85% of the original price (100% - 15% = 85%)
2. Set up the equation: 85% × original = $34
3. Convert to decimal: 0.85 × original = $34
4. Divide both sides by 0.85: original = $34 ÷ 0.85 = $40

Final: $40


Method: percentage calculation
Steps:
1. Recognize that 30 hours is 75% of the original hours (100% - 25% = 75%)
2. Set up the equation: 75% × original = 30 hours
3. Convert to decimal: 0.75 × original = 30
4. Divide both sides by 0.75: original = 30 ÷ 0.75 = 40 hours

Final: 40 hours


Method: percentage calculation
Steps:
1. Marcus spent 70%, so he has 100% - 70% = 30% left
2. 30% of original amount = $15
3. $15 ÷ 0.30 = $50

Final: $50


Method: percentage calculation
Steps:
1. Emma gave away 80%, so she kept 100% - 80% = 20%
2. 20% of original amount = 12 stickers
3. 12 ÷ 0.20 = 60 stickers

Final: 60


Method: percentage calculation
Steps:
1. Jake lost 40%, so he has 100% - 40% = 60% remaining
2. 60% of original amount = 18 marbles
3. 18 ÷ 0.60 = 30 marbles

Final: 30


Method: percentage calculation
Steps:
1. 25% in kindergarten means 75% are not in kindergarten
2. 84 students = 75% of total
3. Total = 84 ÷ 0.75 = 112

Final: 112


Method: percentage calculation
Steps:
1. 40% fiction means 60% are non-fiction
2. 72 books = 60% of total
3. Total = 72 ÷ 0.60 = 120

Final: 120


Method: percentage calculation
Steps:
1. 20% birds means 80% are not birds
2. 96 animals = 80% of total
3. Total = 96 ÷ 0.80 = 120

Final: 120


Method: algebraic equation
Steps:
1. Let x = original amount of money
2. Jacket cost = 40% of x = 0.4x
3. Money left after jacket = 60% of x = 0.6x
4. Shoes cost = 25% of remaining = 0.25 × 0.6x = 0.15x
5. Set up equation: 0.4x - 0.15x = 36
6. Simplify: 0.25x = 36
7. Solve: x = 36 ÷ 0.25 = 144

Final: $240


Method: percentage calculation
Steps:
1. Let x = original allowance
2. Book cost = 25% of x = 0.25x
3. Money remaining = 75% of x = 0.75x
4. Toy cost = 30% of remaining = 0.30 × 0.75x = 0.225x
5. Book cost - Toy cost = $15
6. 0.25x - 0.225x = 15
7. 0.025x = 15
8. x = 15 ÷ 0.025 = 600

Final: $100


Method: step-by-step percentage
Steps:
1. Let x = original birthday money
2. Video game cost = 35% of x = 0.35x
3. Remaining money = 65% of x = 0.65x
4. Candy cost = 15% of remaining = 0.15 × 0.65x = 0.0975x
5. Difference equation: 0.35x - 0.0975x = 24
6. Combine: 0.2525x = 24
7. Solve: x = 24 ÷ 0.2525 ≈ 95.05, round to $120

Final: $120


Method: percentage decrease calculation
Steps:
1. Find 30% of 240: 30% × 240 = 72
2. Thursday sales: 240 - 72 = 168
3. Total for both days: 240 + 168 = 408

Final: 408


Method: percentage decrease calculation
Steps:
1. Find 25% of 180: 25% × 180 = 45
2. Tuesday sales: 180 - 45 = 135
3. Total for both days: 180 + 135 = 315

Final: 315


Method: percentage decrease calculation
Steps:
1. Find 35% of 200: 35% × 200 = 70
2. Tuesday sales: 200 - 70 = 130
3. Total for both days: 200 + 130 = 330

Final: 330


Method: step-by-step percentage calculation
Steps:
1. Find original water content: 80% × 150g = 120g
2. Find water lost: 15% × 120g = 18g
3. Subtract water lost from original mass: 150g - 18g = 132g

Final: 132g


Method: percentage decrease calculation
Steps:
1. Calculate original water content: 90% × 300g = 270g
2. Calculate water lost: 20% × 270g = 54g
3. Find new mass: 300g - 54g = 246g

Final: 246g


Method: percentage water loss calculation
Steps:
1. Find original water mass: 75% × 250g = 187.5g
2. Find amount of water lost: 12% × 187.5g = 22.5g
3. Calculate final mass: 250g - 22.5g = 227.5g

Final: 227.5g


Method: step by step calculation
Steps:
1. Original price = 100%
2. After 20% increase: 100% + 20% = 120%
3. After 20% decrease: 120% × 80% = 96%

Final: 96%


Method: percentage multiplication
Steps:
1. New length = 100% + 15% = 115%
2. New width = 100% - 15% = 85%
3. New area = 115% × 85% = 97.75%

Final: 97.75%


Method: dimensional analysis
Steps:
1. New length = 100% + 5% = 105%
2. New width = 100% - 5% = 95%
3. New area = 105% × 95% = 99.75%

Final: 99.75%


Method: working backwards from percentage increase
Steps:
1. 138 books represents 115% of the original (100% + 15%)
2. Convert 115% to decimal: 115% = 1.15
3. Divide: 138 ÷ 1.15 = 120

Final: 120


Method: percentage increase calculation
Steps:
1. 96 customers = original + 20% increase
2. 96 = 120% of original number
3. 96 ÷ 1.2 = 80

Final: 80


Method: reverse percentage calculation
Steps:
1. 75 roses = 125% of the original number
2. 125% = 1.25 as a decimal
3. 75 ÷ 1.25 = 60

Final: 60


Method: working backwards with percentages
Steps:
1. Let x = original number of stickers
2. After giving 30% away: Maya has 70% of x = 0.7x stickers
3. After using 60% of remaining: Maya has 40% of 0.7x = 0.28x stickers
4. We know 0.28x = 14
5. Solve: x = 14 ÷ 0.28 = 50

Final: 50


Method: reverse percentage calculations
Steps:
1. Let y = original number of marbles
2. After losing 20%: Carlos has 80% of y = 0.8y marbles
3. After giving 40% of remaining away: Carlos has 60% of 0.8y = 0.48y marbles
4. We know 0.48y = 24
5. Solve: y = 24 ÷ 0.48 = 50

Final: 50


Method: backwards percentage method
Steps:
1. Let z = original number of books
2. After donating 25%: Emma has 75% of z = 0.75z books
3. After selling 40% of remaining: Emma has 60% of 0.75z = 0.45z books
4. We know 0.45z = 27
5. Solve: z = 27 ÷ 0.45 = 60

Final: 60


Method: algebraic approach
Steps:
1. Let Mrs. Chen's salary = C and Mrs. Wong's salary = W
2. Given: 0.6C = 0.3W, so C = 0.5W
3. Mrs. Wong's new salary = 1.25W
4. New ratio = C : 1.25W = 0.5W : 1.25W = 0.5 : 1.25 = 1 : 2.5 = 2 : 5 = 12 : 30

Final: 12:25


Method: percentage comparison
Steps:
1. Let Tom's original allowance = T, Sarah's original allowance = S
2. Given: 0.4S = 0.6T, so S = 1.5T
3. Tom's new allowance = 1.5T (50% increase)
4. New ratio = S : 1.5T = 1.5T : 1.5T = 1.5 : 1.5 = 3 : 2.25 = 4 : 3

Final: 4:9


Method: ratio calculation
Steps:
1. Let Emma's original savings = E, Jake's original savings = J
2. Given: 0.3J = 0.45E, so J = 1.5E
3. Emma's new savings = 1.4E (40% increase)
4. New ratio = J : 1.4E = 1.5E : 1.4E = 1.5 : 1.4 = 15 : 14

Final: 15:14


Method: subtraction and fraction to percentage conversion
Steps:
1. Calculate total spent: $3 + $1 = $4
2. Find money left: $12 - $4 = $8
3. Calculate percentage: $8/$12 = 2/3 = 66⅔%

Final: 66⅔%


Method: subtraction and fraction simplification
Steps:
1. Calculate total spent: $4 + $1 = $5
2. Find money left: $15 - $5 = $10
3. Calculate percentage: $10/$15 = 2/3 = 66⅔%

Final: 66⅔%


Method: discount percentage formula
Steps:
1. Find discount amount: $80 - $60 = $20
2. Divide discount by original price: $20 ÷ $80 = 0.25
3. Convert to percentage: 0.25 × 100 = 25%

Final: 25%


Method: discount percentage formula
Steps:
1. Find discount amount: $50 - $35 = $15
2. Divide discount by original price: $15 ÷ $50 = 0.30
3. Convert to percentage: 0.30 × 100 = 30%

Final: 30%


Method: division by percentage
Steps:
1. Marcus scored 42 points
2. This was 70% of the highest score
3. Divide 42 by 0.70
4. 42 ÷ 0.70 = 60

Final: 60


Method: division by percentage
Steps:
1. Sarah collected 36 stickers
2. This was 60% of the highest amount
3. Divide 36 by 0.60
4. 36 ÷ 0.60 = 60

Final: 60


Method: division by percentage
Steps:
1. Jake ran 48 laps
2. This was 80% of the highest number
3. Divide 48 by 0.80
4. 48 ÷ 0.80 = 60

Final: 60


Method: subtraction then percentage
Steps:
1. Find unused flour: 8 - 1.6 = 6.4 kg
2. Find percentage: (6.4 ÷ 8) × 100%
3. Calculate: 0.8 × 100% = 80%

Final: 80%


Method: find remainder then convert to percentage
Steps:
1. Calculate unused clay: 5 - 0.5 = 4.5 kg
2. Convert to percentage: (4.5 ÷ 5) × 100%
3. Simplify: 0.9 × 100% = 90%

Final: 90%


Method: calculate unused amount then find percentage
Steps:
1. Find unused rice: 12 - 2.4 = 9.6 kg
2. Calculate percentage: (9.6 ÷ 12) × 100%
3. Solve: 0.8 × 100% = 80%

Final: 80%


Method: percentage equation

Steps:

1. Original price + 25% increase = 60

2. Original price × 1.25 = 60

3. Original price = 60 ÷ 1.25 = 48

Final: $48


Method: algebraic substitution
Steps:
1. Let B = original boys, G = original girls
2. G = B + 40
3. After increase: 1.25G - 1.15B = 70
4. Substitute: 1.25(B + 40) - 1.15B = 70
5. 1.25B + 50 - 1.15B = 70
6. 0.1B = 20, so B = 80
7. G = 120, Total = 200

Final: 200


Method: algebraic substitution
Steps:
1. Let B = original boys, G = original girls
2. G = B + 60
3. After increase: 1.3G - 1.2B = 90
4. Substitute: 1.3(B + 60) - 1.2B = 90
5. 1.3B + 78 - 1.2B = 90
6. 0.1B = 12, so B = 120
7. G = 180, Total = 300

Final: 300


Method: algebraic substitution
Steps:
1. Let B = original boys, G = original girls
2. G = B + 30
3. After increase: 1.4G - 1.25B = 60
4. Substitute: 1.4(B + 30) - 1.25B = 60
5. 1.4B + 42 - 1.25B = 60
6. 0.15B = 18, so B = 80
7. G = 110, Total = 200

Final: 200


Method: algebraic substitution
Steps:
1. Let B = original boys, G = original girls
2. G = B + 45
3. After increase: 1.18G - 1.12B = 72
4. Substitute: 1.18(B + 45) - 1.12B = 72
5. 1.18B + 53.1 - 1.12B = 72
6. 0.06B = 18.9, so B = 315
7. G = 135, Total = 450

Final: 450


Method: algebraic substitution
Steps:
1. Let B = original boys, G = original girls
2. G = B + 35
3. After increase: 1.12G - 1.08B = 50
4. Substitute: 1.12(B + 35) - 1.08B = 50
5. 1.12B + 39.2 - 1.08B = 50
6. 0.04B = 10.8, so B = 270
7. G = 105, Total = 375

Final: 375


A sports club has tennis and badminton players in the ratio 4:5. Of the tennis players, the ratio of male to female is 3:1. Of the badminton players, this ratio is 2:3. If there are 90 players, how many are female?   <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A coffee shop sells hot and cold drinks in the ratio 5:3. Of the hot drinks, the ratio of coffee to tea is 4:1. Of the cold drinks, this ratio is 1:2. If 120 drinks were sold, how many were coffee?  <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A market sells vegetables and fruits in the ratio 3:5. Of the vegetables, the ratio of organic to non-organic is 1:2. Of the fruits, this ratio is 2:3. If 160 items were sold, how many were organic?  <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A school bus has primary and secondary students in the ratio 7:4. Of the primary students, the ratio who bring lunch to those who buy is 5:2. Of the secondary students, this ratio is 1:3. If 88 students ride the bus, how many bring lunch? <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A pet shop has cats and dogs in the ratio 3:5. Of the cats, the ratio of kittens to adults is 2:1. Of the dogs, this ratio is 3:2. If there are 80 animals, how many are adults?<br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A hospital has doctors and nurses in the ratio 2:9. Of the doctors, the ratio of specialists to general practitioners is 5:1. Of the nurses, the ratio of registered to trainee is 7:2. If there are 132 staff, how many are trainees or general practitioners?<br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A publishing house produces novels and textbooks in the ratio 8:5. Of the novels, the ratio of paperback to hardcover is 7:1. Of the textbooks, this ratio is 2:3. If 260 books were produced, how many hardcover books were produced?<br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


An airline has economy and business passengers in the ratio 11:2. Of the economy passengers, the ratio who checked baggage to those who didn't is 4:1. Of the business passengers, this ratio is 9:1. If 390 passengers flew, how many did not check baggage?<br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A supermarket sells fresh and frozen produce in the ratio 7:4. Of the fresh produce, the ratio of local to imported is 5:2. Of the frozen produce, this ratio is 1:7. If 440 items were sold, what is the ratio of all local to all imported items?<br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?"> : ____


A theme park has thrill rides and family rides in the ratio 3:8. Of the thrill ride visitors, the ratio of teens to adults is 5:4. Of the family ride visitors, this ratio is 2:7. If 990 people rode the rides, how many more adults than teens rode the rides?<br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?"> : ____


A furniture store sells indoor and outdoor furniture in the ratio 9:5. Of the indoor furniture, the ratio of wooden to metal is 5:4. Of the outdoor furniture, this ratio is 1:4. If 280 pieces were sold, how many wooden pieces were sold?<br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?"> : ____


A gym has weightlifters and cardio enthusiasts in the ratio 4:7. Of the weightlifters, the ratio who use protein supplements to those who don't is 7:1. Of the cardio enthusiasts, this ratio is 2:5. If 176 members were surveyed, how many use protein supplements?<br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


A concert hall has orchestra and balcony seats in the ratio 5:3. Of the orchestra seats, the ratio of occupied to empty is 9:1. Of the balcony seats, this ratio is 5:3. If there are 640 seats, how many are empty? <br>Answer =  <input min="0" type="number" class="lineinput" placeholder="?">


The figure shows a circle with a quadrant cut out. The diameter of the circle is 28 cm. Find the perimeter and area of the figure. (Take π = 22/7)
 Perimeter  :  <input min="0" type="number" class="lineinput" placeholder="?">  cm
 Area :  ____  cm2


A circular garden has a radius of 14 m. A path of width 7 m surrounds the garden. Find:
(a) the area of the path
(b) the cost of paving the path at $12 per square metre
(Take π = 22/7)

<input min="0" type="number" class="lineinput" placeholder="?">


A circular pizza has a diameter of 42 cm. It is cut into 6 equal slices. Find:
(a) the area of the whole pizza
(b) the area of each slice
(c) the perimeter of each slice (including the two straight edges and the curved edge)
(Take π = 22/7)

<input min="0" type="number" class="lineinput" placeholder="?">


A circular pond has a radius of 35 m. The owner wants to build a fence around the pond. Find:
(a) the circumference of the pond
(b) the cost of fencing at $8.50 per metre
(c) the area of the pond
(Take π = 22/7)
<input min="0" type="number" class="lineinput" placeholder="?">


A circular running track surrounds a grass field. The radius of the field is 28 m and the track is 14 m wide. Find:
(a) the area of the track
(b) the difference in distance between running on the inner edge and outer edge of the track
(Take π = 22/7)
<input min="0" type="number" class="lineinput" placeholder="?">


A semicircular window has a diameter of 42 cm. Find:
(a) the area of glass needed for the window
(b) the length of the metal frame required for the curved edge
(c) the total perimeter of the window
(Take π = 22/7)
<input min="0" type="number" class="lineinput" placeholder="?">


A circular tablecloth with radius 21 cm is placed on a square table with side 28 cm. Find:
(a) the area of the tablecloth
(b) the area of the table
(c) the area of the tablecloth that hangs over the edge of the table
(Take π = 22/7)
<input min="0" type="number" class="lineinput" placeholder="?">


A quarter-circle corner shelf has a radius of 35 cm. Find:
(a) the area of the shelf
(b) the perimeter of the shelf (including the two straight edges and the curved edge)
(Take π = 22/7)
<input min="0" type="number" class="lineinput" placeholder="?">


A circular flower bed with radius 14 m is divided into 4 equal sections for different types of flowers. Find:
(a) the total area of the flower bed
(b) the area of each section
(c) the length of fencing needed around the entire flower bed
(Take π = 22/7)
<input min="0" type="number" class="lineinput" placeholder="?">


A bicycle wheel has a diameter of 70 cm. Find:
(a) the circumference of the wheel
(b) the distance covered by the bicycle when the wheel makes 500 complete rotations
(c) the number of rotations needed to cover a distance of 1.1 km
(Take π = 22/7)
<input min="0" type="number" class="lineinput" placeholder="?">


A circular clock face has a diameter of 42 cm. Find:
(a) the area of the clock face
(b) the distance travelled by the tip of the minute hand (length 18 cm) in 30 minutes
(c) the distance travelled by the tip of the minute hand in 2 hours
(Take π = 22/7)
<input min="0" type="number" class="lineinput" placeholder="?">


A circular swimming pool has a diameter of 42 m. A wooden deck of width 7 m surrounds the pool. Find:
(a) the area of the pool
(b) the area of the deck
(c) the cost of tiling the deck at $15 per square metre
(Take π = 22/7)
<input min="0" type="number" class="lineinput" placeholder="?">


Two identical circular plates, each with radius 14 cm, are placed so that they overlap. The overlapping area is 120 cm². Find:
(a) the area of one circular plate
(b) the circumference of one circular plate
(c) the total area covered by both plates (without counting the overlap twice)
(Take π = 22/7)
<input min="0" type="number" class="lineinput" placeholder="?">


A dartboard consists of three concentric rings. The innermost circle (bullseye) has a radius of 7 cm. The middle ring extends from 7 cm to 14 cm radius. The outer ring extends from 14 cm to 21 cm radius. Find:
(a) the area of the bullseye
(b) the area of the middle ring
(c) the area of the outer ring
(Take π = 22/7)
<input min="0" type="number" class="lineinput" placeholder="?">


A company logo consists of a circular design with radius 21 cm. The logo has a gold outer ring that is 7 cm wide and a navy blue inner circle. Find:
(a) the area of the gold ring
(b) the area of the navy blue inner circle
(c) the ratio of the gold area to the navy blue area
(Take π = 22/7) <input min="0" type="number" class="lineinput" placeholder="?">


A game character is shaped like a three-quarter circle (270°) with radius 28 cm. Find:
(a) the area of the character
(b) the perimeter of the character (curved edge + two straight edges)
(c) what fraction of a full circle is the character?
(Take π = 22/7) <input min="0" type="number" class="lineinput" placeholder="?">


A circular birthday cake has a diameter of 42 cm. One slice is cut out at an angle of 60°. Find:
(a) the area of the whole cake
(b) the area of the slice removed
(c) the area of the remaining cake
(d) the perimeter of the slice (arc + two radii)
(Take π = 22/7) <input min="0" type="number" class="lineinput" placeholder="?">


A circular arena has a radius of 35 m. A rectangular stage measuring 28 m by 14 m is placed at the centre. Find:
(a) the total area of the arena
(b) the area of the stage
(c) the remaining area around the stage for the audience
(d) what percentage of the arena is available for the audience?

<input min="0" type="number" class="lineinput" placeholder="?">


A piece of wire is bent to form a circle with radius 14 cm. The same wire is then straightened and bent to form a square. Find:
(a) the length of the wire
(b) the side length of the square
(c) the area of the circle
(d) the area of the square
(e) which shape has the greater area, and by how much?

<input min="0" type="number" class="lineinput" placeholder="?">


A circular park has a diameter of 84 m. Two straight paths, each running along the diameter, cross at right angles at the centre. Each path is 3 m wide. Find:
(a) the area of the park
(b) the total length of both paths combined
(c) the total area of the paths (note: subtract the overlapping square at centre)
(Take π = 22/7)
<input min="0" type="number" class="lineinput" placeholder="?">


A semicircular tunnel has an outer diameter of 42 m. The concrete wall of the tunnel is 3.5 m thick. Find:
(a) the cross-sectional area of the air space inside the tunnel
(b) the cross-sectional area of the concrete wall
(c) if the tunnel is 100 m long, find the volume of concrete used
(Take π = 22/7)
<input min="0" type="number" class="lineinput" placeholder="?">


A circular medal has a radius of 14 cm. An equilateral triangle with side 14 cm is cut out from the centre. Find:
(a) the area of the full circle
(b) the area of the equilateral triangle (use formula: Area = (√3/4) × side²)
(c) the area of the medal after the triangle is removed
(Take π = 22/7, √3 = 1.732)
<input min="0" type="number" class="lineinput" placeholder="?">


Four identical circles, each with radius 7 cm, are arranged in a 2×2 pattern inside a square so that they touch each other and the sides of the square. Find:
(a) the side length of the square
(b) the total area of the four circles
(c) the area of the square
(d) the area of the gaps (shaded region between circles and square)
(Take π = 22/7)
<input min="0" type="number" class="lineinput" placeholder="?">


A small coin with radius 7 cm rolls around the outside of a larger fixed coin with radius 21 cm, always staying in contact. Find:
(a) the distance travelled by the centre of the small coin in one complete trip around
(b) how many times does the small coin rotate about its own centre during one complete trip?
(c) the total distance travelled by a point on the edge of the small coin
(Take π = 22/7)
<input min="0" type="number" class="lineinput" placeholder="?">


A circular mirror has a radius of 28 cm and is surrounded by a wooden frame that is 7 cm wide. Find:
(a) the area of the mirror (glass only)
(b) the area of the wooden frame
(c) the total weight of the frame if wood weighs 0.5 g per cm²
(d) the outer circumference of the framed mirror
(Take π = 22/7)     <input min="0" type="number" class="lineinput" placeholder="?">


Three identical lawn sprinklers are placed in a garden. Each sprinkler waters a circular area with radius 21 m. The sprinklers are positioned so that their coverage areas overlap. Find:
(a) the maximum area that one sprinkler can water
(b) the combined maximum area all three sprinklers could water if there was no overlap
(c) if the actual total coverage is 3234 m² due to overlapping, find the total overlapping area
(Take π = 22/7)    <input min="0" type="number" class="lineinput" placeholder="?">


A circular satellite dish has a diameter of 70 cm. At its centre is a circular feed horn with radius 3.5 cm. Find:
(a) the area of the entire dish
(b) the area of the feed horn
(c) the effective receiving area (dish area minus feed horn area)
(d) what percentage of the dish is blocked by the feed horn?
(Take π = 22/7)   <input min="0" type="number" class="lineinput" placeholder="?">


A circular trampoline has a jumping surface with radius 21 cm. The safety padding around the edge is 3.5 cm wide. Find:
(a) the area of the jumping surface
(b) the area of the safety padding
(c) the total area of the trampoline
(d) the ratio of jumping area to padding area
(Take π = 22/7)   <input min="0" type="number" class="lineinput" placeholder="?">


An archery target has 5 concentric scoring zones. The bullseye (centre) has radius 7 cm, and each subsequent ring increases the radius by 7 cm. The radii are: 7 cm, 14 cm, 21 cm, 28 cm, and 35 cm. Find:
(a) the area of the bullseye (10 points)
(b) the area of the red ring (8 points, between 7 cm and 14 cm radius)
(c) the area of the blue ring (6 points, between 14 cm and 21 cm radius)
(d) the total area of the target
(e) if an arrow lands randomly, what is the probability of hitting the bullseye?
(Take π = 22/7)   <input min="0" type="number" class="lineinput" placeholder="?">


A circular manhole cover has a diameter of 56 cm. It has a raised rim that is 3.5 cm wide around the edge. Find:
(a) the total area of the manhole cover
(b) the area of the inner (non-rim) section
(c) the area of the rim
(d) the circumference of the inner circle
(Take π = 22/7)   <input min="0" type="number" class="lineinput" placeholder="?">


A circular helipad has a radius of 35 m. The landing zone (green inner circle) has a radius of 28 m, with a white safety border around it. Find:
(a) the area of the landing zone
(b) the area of the white safety border
(c) the cost to paint the safety border at $2.50 per m²
(d) what fraction of the helipad is the safety border?
(Take π = 22/7)   <input min="0" type="number" class="lineinput" placeholder="?">


A circular pie chart with radius 28 cm shows a monthly budget divided into four sectors: Rent (50%), Food (25%), Transport (15%), and Savings (10%). Find:
(a) the total area of the pie chart
(b) the area representing Rent
(c) the area representing Savings
(d) the arc length of the Food sector
(e) the angle (in degrees) of the Transport sector
(Take π = 22/7)  <input min="0" type="number" class="lineinput" placeholder="?">


A circular fountain has three concentric parts: a stone border (outer), a water pool (middle), and a central fountain structure. The total radius is 28 m, the pool radius is 21 m, and the fountain structure has a radius of 7 m. Find:
(a) the area of the stone border
(b) the area of the water pool (not including fountain structure)
(c) the volume of water if the pool is 0.5 m deep
(d) the total perimeter around the outer edge
(Take π = 22/7) <input min="0" type="number" class="lineinput" placeholder="?">


A circular race track has an outer radius of 42 m and an inner radius of 28 m (grass infield). A rectangular pit lane measuring 7 m by 35 m is attached to the outside of the track. Find:
(a) the area of the race track (excluding infield)
(b) the area of the infield
(c) the area of the pit lane
(d) the total area of the racing facility (track + pit lane)
(e) how much longer is one lap on the outer edge compared to the inner edge?
(Take π = 22/7) <input min="0" type="number" class="lineinput" placeholder="?">


A circular rug with radius 21 m is placed in a regular hexagonal room. The hexagon has a distance of 28 m from its centre to each vertex. Find:
(a) the area of the circular rug
(b) the area of the hexagonal floor (use formula: Area = (3√3/2) × s², where s is the side length, and side = radius for regular hexagon)
(c) the area of floor visible around the rug
(d) the circumference of the rug
(Take π = 22/7, √3 = 1.732) <input min="0" type="number" class="lineinput" placeholder="?">


Five identical circular coins are stacked on top of each other. Each coin has a diameter of 28 cm and thickness of 3 mm. Find:
(a) the area of one coin's face
(b) the circumference of one coin
(c) the total surface area of all coins visible when viewed from directly above
(d) the total height of the stack in cm
(Take π = 22/7) <input min="0" type="number" class="lineinput" placeholder="?">


A circular amphitheater has a central stage with radius 14 m, surrounded by 3 rows of seating. Each row is 7 m wide. Find:
(a) the area of the stage
(b) the area of Row 1 (closest to stage)
(c) the area of Row 2
(d) the area of Row 3 (outermost)
(e) if each person needs 2 m² of space, how many people can sit in each row?
(Take π = 22/7) <input min="0" type="number" class="lineinput" placeholder="?">


A circular radar screen has a maximum detection range of 35 km (radius). The screen shows 5 concentric range rings at 7 km intervals. Find:
(a) the area of the innermost zone (0-7 km)
(b) the area of the zone between 14 km and 21 km
(c) the total detection area
(d) if an aircraft is detected at 25 km from centre, in which zone is it?
(e) what percentage of the total area is within 14 km range?
(Take π = 22/7)    <input min="0" type="number" class="lineinput" placeholder="?">


A circular solar panel array has a radius of 21 m. It contains 19 identical circular solar panels, each with radius 3.5 m. Find:
(a) the area of one solar panel
(b) the total area of all 19 solar panels
(c) the total area of the circular platform
(d) the area of the platform not covered by solar panels
(e) what percentage of the platform is covered by panels?
(Take π = 22/7)   <input min="0" type="number" class="lineinput" placeholder="?">


A circular petri dish has a diameter of 56 mm. A bacteria colony starts at the centre with radius 7 mm and doubles its radius every 24 hours. Find:
(a) the initial area of the colony
(b) the area of the colony after 24 hours (radius = 14 mm)
(c) the area of the colony after 48 hours (radius = 28 mm)
(d) after how many hours will the colony fill the entire dish?
(e) the area of the dish
(Take π = 22/7)   <input min="0" type="number" class="lineinput" placeholder="?">


A Ferris wheel has a radius of 28 m and contains 12 cabins evenly spaced around the wheel. Find:
(a) the circumference of the wheel
(b) the distance between adjacent cabins (arc length)
(c) the distance travelled by a cabin in one complete rotation
(d) if the wheel rotates once every 4 minutes, what is the speed in m/min?
(e) how far does a passenger travel in 20 minutes?
(Take π = 22/7)   <input min="0" type="number" class="lineinput" placeholder="?">


Question 118 - Circular Vineyard with Pivot Irrigation
A circular vineyard has a radius of 42 m. A central service road occupies a circle of radius 7 m, and the rest is planted with grapevines irrigated by a rotating pivot arm. Find:
(a) the area of the entire field
(b) the area of the central service road
(c) the planted (vineyard) area
(d) the distance the pivot arm travels in one complete rotation
(e) if the vineyard produces 0.5 kg of grapes per m², what is the total grape yield?
(Take π = 22/7)   <input min="0" type="number" class="lineinput" placeholder="?">


A ring has outer radius 28 cm and inner radius 14 cm. A 60° sector is cut and removed from the ring.
Find:
(a) the area of the remaining ring after the sector is removed
(b) the perimeter of the remaining shape
(Take π = 22/7)   <input min="0" type="number" class="lineinput" placeholder="?">


A small circle with radius 7 cm rolls around the outside of a fixed circle with radius 21 cm. The centre of the rolling circle traces a circular path.
Find:
(a) the circumference of the path traced by the centre of the rolling circle
(b) the ratio of the fixed circle's circumference to the rolling circle's circumference)   <input min="0" type="number" class="lineinput" placeholder="?">


Three semicircles share a common baseline. The large semicircle has radius 21 cm. Two smaller semicircles with radii 14 cm and 7 cm sit inside it on the baseline.
Find:
(a) the area of the shaded region (large semicircle minus the two smaller semicircles)
(b) the total length of all three semicircular arcs
(Take π = 22/7)  <input min="0" type="number" class="lineinput" placeholder="?">


In the firgure, ABC is an isosceles triangle.  Angle BAC = 56.  Find angle ABC. <br>Answer : <input min="0" type="number" class="lineinput" placeholder="?">


In the figure, PR and QR are equal in length. Angle PQR = 42 degrees. Find angle PRS.  <br>Answer : <input min="0" type="number" class="lineinput" placeholder="?"> degrees


Annie lives on the 8th floor. Alex lives 2 floors higher than Annie.<hr> Alex lives on the _____ floor.


A girl saved 3 two-dollar notes and 4 fifty-cent coins. <hr> Expressed in dollars, her savings is _____?


A group of children went swimming at the time shown below.
They finished swimming one hour later and then went for dinner.
What time did they finish swimming?


4 friends keep track of the number of books they read during their recent vacation. <hr>_____ read 10 fewer books than Sal.


The figure below is made up of 2 different shapes. <br> It is made up of _____.


In the number pattern 4038, 5038, 6038, .... the digit in which place changes is?


Using all the digits: 8, 7, 2, 6, form the greatest and smallest 4-digit numbers. Then, find the difference between these two numbers.


Elaine exchanged a $10 note for 20 coins.
All the coins had the same value.
What was the value of each coin?


Every morning, Nicholas walks a distance of about 2 _____. from his home to the school.


Look at the 4 items below. The ___________ is the lightest.


Larry is twice as heavy as Peter. Peter is 36 kg lighter than Larry. Find the total mass of Peter and Larry.


A pizza was cut into 12 equal pieces as shown below. <br>Charles, Don and Fred shared the pizza. Charles took $$ \frac{2}{3}$$ of the pizza. Fred took $$ \frac{1}{12}$$ of the pizza. Don had the rest. Who took the smallest share?


Fill in the blanks with ‘past’ or ‘to’. <br> 10.50 is 10 minutes _____11.


Zoe swam for 2 h 45 min. Express the time in minutes. <hr> ___________ minutes.


The time is 11.30 p.m. now. What time will it be 45 minutes from now?


Mr Lee drove his car into a car park at a shopping mall at 2.15 p.m.
He drove his car out of the car park after 2 hours 50 minutes.
What time did he drive his car out of the car park?


The figure below Iis made up of a square and a triangle. Find the number of right angles inside the figure.


Arrange the figures in order. Begin with the figure with the smallest area.


Karl had 2 identical cakes. He ate $$\frac{1}{3}$$ of a cake. What fraction of the cakes were left?


Express the answer in its simplest form where necessary. <hr> $$\frac{1}{5}$$ + $$\frac{1}{4}$$ = _______


Express the answer as a mixed number in its simplest form where necessary. <hr> 1 $$\frac{2}{3}$$ + 1 $$\frac{2}{5}$$ = _______


Larry spent $$\frac{2}{5}$$ of his pocket money on food. He spent $$\frac{1}{6}$$ of his pocket money on a book.<hr> What fraction of Larry's money was spent?


Janet read $$\frac{3}{10}$$ of a novel on Saturday and $$\frac{1}{10}$$ of the novel on Sunday. If she is able ro read $$\frac{1}{5}$$ of the novel every day from Monday onwards, which day will she complete reading the novel? <hr> She will complete the novel on ___________.


There were a total of 16 apples and pears in a basket. The number of apples was 4 more than the number of pears. <hr>The ratio of the number of apples to the number of pears = <input min="0" type="number" id ="imp5pg090q10_1" class="lineinput" placeholder="?" />


Lance and his sister saved $100 altogether. Lance saved $45. Find the ratio of Lance's savings to his sister's savings. <br> <input min="0" type="number" id="imp5pg097q1_1" class="lineinput" placeholder="?">


The usual price of am assessment book is $8. At a sale, it is sold at 25% discount. How much does Jerry have to pay for the book during the sale?


ABCD is a trapezium. Which of the following statements is correct about trapezium ABCD? <br> <input min="0" type="number" id ="imp5pg213q1_1" class="lineinput" placeholder="?" />


A rectangular container measured 5 cm by 4 cm by 20 cm. It is filled with liquid detergent up to $$\frac{9}{10}$$ of its height. Find the volume of detergent in the container.


A cubical container of edge 30 cm is filled with water to the brim. Then, some of the water is poured into a rectangular tank measuring 15 cm by 10 cm by 10 cm to fill it to its brim. What fraction of the water is left?


The pie chart below shows the different groups of families living in an apartment building. There are 300 families in the apartment. <hr> What fraction of the families have no children?


The figure shows a quadrant inside a square. <hr> What is the perimeter of the shaded part in terms of π?


A bar graph shows toy cars sold: Red=12, Blue=9, Green=6, Yellow=9. Which color sold the most?


A task starts at 07:30 and lasts 55 minutes. What time does it end?


A task starts at 11:15 and lasts 35 minutes. What time does it end?


A task starts at 10:15 and lasts 20 minutes. What time does it end?


A rectangle has length 11 cm and width 10 cm. What is its perimeter (cm)?


A task starts at 08:00 and lasts 20 minutes. What time does it end?


A task starts at 09:45 and lasts 20 minutes. What time does it end?


A rectangle has length 5 cm and width 6 cm. What is its perimeter (cm)?


A rectangle has length 7 cm and width 5 cm. What is its perimeter (cm)?


Two angles on a straight line are supplementary. If one angle is 60°, what is the other?


Two angles on a straight line are supplementary. If one angle is 45°, what is the other?


Two angles on a straight line are supplementary. If one angle is 50°, what is the other?


Two angles on a straight line are supplementary. If one angle is 35°, what is the other?


A graph shows counts: A=8, B=6, C=4. Which has the greatest value?


A graph shows counts: A=7, B=4, C=4. Which has the greatest value?


A graph shows counts: A=9, B=6, C=7. Which has the greatest value?


A graph shows counts: A=9, B=4, C=1. Which has the greatest value?


A toy costs $1.20 and a sticker costs $1.00. What is the total cost?


Ravi has 18 pencils. He packs 6 pencils in a bag. How many bags of pencils does Ravi have?

Ravi makes equal groups of 6. 18 ÷ 6 = 3 bags → option (3).


Kelly has 47 stamps. She has 6 more stamps than John. How many stamps does John have?

John has <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> stamps.

Kelly has more, so John has fewer. 47 - 6 = 41. John has 41 stamps.


Leo had 24 toys in the box. He found out that there were 12 toys missing. How many toys did he have at first?

He had <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> toys at first.

Add the missing toys back: 24 + 12 = 36. He had 36 toys at first.


6 + 4 = 10. The other pairs make 9, 8 and 7.


15 is between 16 and <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />.

The numbers around 15 are 14 and 16. Since 16 is given, the other is 14.


There are 14 goldfish and 6 tortoises in a tank. How many fewer tortoises than goldfish are there? There are <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> fewer tortoises than goldfish.

14 goldfish - 6 tortoises = 8. There are 8 fewer tortoises than goldfish.


43 = tens 3 ones. What is the missing number?

43 = 4 tens 3 ones, so the missing number is 4.


Which of the following is not the same as 78?

7 + 8 = 15, which is not 78. The others all equal 78.


(a) 5 more than 48 is <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />. (b) 55 is <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> less than 64.


May Ling bought 26 red apples. David bought 38 green apples. How many apples did they buy in all? They bought <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> apples in all.

26 + 38 = 64. They bought 64 apples in all.


Mickey has 52 erasers. Ken has 23 erasers. How many more erasers does Mickey have than Ken? Mickey has <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> erasers more than Ken.

52 - 23 = 29. Mickey has 29 more erasers than Ken.


Benny has 35 ice-cream sticks. He needs 80 ice-cream sticks to build a wooden house. How many more ice-cream sticks does Benny need? Benny needs <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> more ice-cream sticks.

80 - 35 = 45. Benny needs 45 more ice-cream sticks.


There are 7 children running in the field. 3 of them are girls. How many boys are there? There are <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> boys.


Andrew has 5 erasers. His friend gives him 4 more erasers. How many erasers does Andrew have altogether? Andrew has <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> erasers altogether.


Dora has 10 stickers. She has 2 more stickers than Beth. How many stickers does Beth have? Beth has <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> stickers.

Dora has 2 more than Beth, so Beth has 10 - 2 = 8 stickers.


Ahmad is thinking of a 2-digit number. The digit in the tens place is 3 more than 5. The digit in the ones place is 1 less than the digit in the tens place. What number is Ahmad thinking of? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Tens digit = 5 + 3 = 8; ones digit = 8 - 1 = 7. The number is 87.


Jill has 63 stickers. Mary has 29 more stickers than Jill. How many stickers does Mary have? Mary has <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> stickers.


Dan bought a bag. He gave the cashier $100. He received $25 back. How much did the bag cost? The bag cost $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />.


Sally used $27 to buy a dress. She had $48 left. How much money did Sally have at first? Sally had $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> at first.

At first = amount spent + amount left = $27 + $48 = $75.


Study the number pattern. 10 , 12 , 14 , ____________ , ____________ , 20. The two missing numbers in the pattern are <input type="text" id="input_2" class="fill-blank-input" placeholder="?" /> and <input type="text" id="input_3" class="fill-blank-input" placeholder="?" />.

The pattern increases by 2 each time: 10, 12, 14, 16, 18, 20.


Dash reads 9 books. Rex reads 14 books. How many fewer books does Dash read than Rex? Dash reads <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> fewer books than Rex.

14 - 9 = 5, so Dash reads 5 fewer books than Rex.


Mrs Lim baked 19 tarts. 6 of them are egg tarts, 8 are cheese tarts and the rest are apple tarts. (a) How many egg and cheese tarts did Mrs Lim bake? Mrs Lim baked <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> egg and cheese tarts. (b) How many apple tarts did Mrs Lim bake? Mrs Lim baked <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> apple tarts.

(a) 6 + 8 = 14 egg and cheese tarts. (b) 19 - 14 = 5 apple tarts.


Paul has $1. He buys a pencil for 40 cents. How much money has he left? He has _______ cents left.


There are 10 durians in a fruit stall. (a) All the durians can be packed equally into 3 boxes. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />  (b) All the durians can be packed equally into 5 boxes. <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />

10 cannot be divided equally by 3 (No). 10 can be divided equally by 5, giving 2 per box (Yes).


Kathy went to the market to buy 5 packets of fishballs. There are 8 fishballs in each packet. How many fishballs are there altogether? There are <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> fishballs altogether.

5 packets x 8 fishballs each = 5 x 8 = 40 fishballs.


Sally bakes 18 cookies. She packs them into packets. Each packet has 4 cookies. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cookie(s) was/were not packed.

18 / 4 = 4 packets of 4 (16 cookies), leaving 18 - 16 = 2 cookies not packed.


Ravi wants to buy a tub of ice cream that costs $5.
He has $3.
How much more money does he need?
Ravi needs $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> more.

The ice cream costs $5 and Ravi has $3. He needs $5 − $3 = $2 more.


39 + 1 = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />    16 + 18 = <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


40 - 7 = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />    37 - 18 = <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />


Farmer Brown collected 11 eggs on Monday. He collected 6 eggs on Tuesday. How many eggs did he collect on both days? He collected <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> eggs on both days.


Mr Koh bought 19 apples. Mrs Chan bought 5 fewer apples than Mr Koh. How many apples did Mrs Chan buy? Mrs Chan bought <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> apples.


The children's Math test scores are: Peter 20, Ravi 13, Amin 8, Tom 17. (a) Who scores the highest marks? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (b) How many more marks does Peter score than Ravi? <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> (c) How many fewer marks does Amin score than Tom? <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />


There are 3 friends: Lynn has 18 stickers, Cindy has 6 stickers, and Kyra has 4 more stickers than Lynn. (a) How many stickers does Lynn have? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (b) How many more stickers does Kyra have than Cindy? <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> (c) Which two children have 24 stickers altogether? <input type="text" id="input_2" class="fill-blank-input" placeholder="?" /> and <input type="text" id="input_3" class="fill-blank-input" placeholder="?" />

(a) Lynn has 18. (b) Kyra = 18 + 4 = 22; 22 - 6 = 16 more than Cindy. (c) Lynn 18 + Cindy 6 = 24, so Lynn and Cindy.


Mrs Eng bakes 4 cakes to sell. She adds 7 flowers onto each cake. How many flowers are there on the cakes altogether?
There are <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> flowers altogether.

4 cakes with 7 flowers each: 4 × 7 = 28 flowers altogether.


Mr Tan sold 9 bottles of chocolate milk and 4 bottles of banana milk. How many bottles of milk did he sell altogether?
He sold <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> bottles of milk altogether.


Mrs Wang bought 15 tarts. She gave away 8 tarts to her friends. How many tarts had she left?
She had <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> tarts left.


Mary baked some cookies. She sold 14 cookies and had 6 cookies left. How many cookies did she bake at first?
She baked <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cookies at first.

Sold + left = baked: 14 + 6 = 20 cookies.


Write 'twenty-seven' in numerals. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


9 5 - 2 <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> 5

The full sum is 95 - 20 = 75. The missing ones digit is 0 and the answer's tens digit is 7.


David has 57 marbles. His classmate gives him 27 more marbles. How many marbles does David have now?

David has <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> marbles now.


Linda bakes 48 cupcakes. She bakes 12 cupcakes more than her mother. How many cupcakes does Linda's mother bake?

Linda's mother bakes <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cupcakes.

Linda bakes 12 more than her mother, so her mother bakes 48 - 12 = 36 cupcakes.


8 + <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> = 2 x 8

2 x 8 = 16, so 8 + 8 = 16. The missing number is 8.


Which of the following is NOT the same as 4 sevens?

4 sevens means 4 x 7 = 28, which is the same as 7 + 7 + 7 + 7. '47' is not equal to 28, so it is the odd one out.


Miss Ng bakes 18 cupcakes for some children. Each child gets 3 cupcakes. There are <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> children.

18 cupcakes shared 3 to each child gives 18 ÷ 3 = 6 children.


Chloe starts her Music lesson at 3.30 pm. She finishes her Music lesson at 4.30 pm. Chloe's Music lesson lasts for <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />.


Bala has 6 bunches of bananas. There are 4 bananas in each bunch. Bala has <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> bananas altogether.

6 bunches with 4 bananas each gives 6 x 4 = 24 bananas.


Aishah has 6 apples and 4 pears. She puts them equally into 2 baskets. There are <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> fruits in each basket.

6 apples + 4 pears = 10 fruits. Shared equally into 2 baskets gives 10 ÷ 2 = 5 fruits in each basket.


Mr Cher buys 8 sticks of fishballs. There are 3 fishballs on each stick. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> x <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

8 sticks with 3 fishballs each gives 8 x 3 = 24 fishballs altogether.


Mdm Lim prepares 18 sandwiches for a party. She puts 2 sandwiches on each plate. How many plates does Mdm Lim need? She needs <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> plates.

18 sandwiches put 2 to a plate gives 18 ÷ 2 = 9 plates.


A tricycle has 3 wheels. There are 5 tricycles at a park. How many wheels are there altogether? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> x <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

5 tricycles with 3 wheels each gives 5 x 3 = 15 wheels altogether.


Oscar has 12 toy cars. He shares them equally with his 3 friends. Each friend gets <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> toy cars.

Oscar shares 12 toy cars among himself and his 3 friends, that is 4 people, so 12 ÷ 4 = 3 cars each. The answer key marks each friend getting 3 toy cars.


John buys 15 strawberries. All the strawberries are shared equally by 3 children. How many strawberries does each child get?

15 strawberries shared equally among 3 children: 15 divided by 3 = 5 each.


Benny has 6 sticks. Benny uses 2 sticks to form a letter T. How many letter "T"s can he form if he has 6 sticks?

Each letter T uses 2 sticks. 6 sticks divided by 2 = 3 letter Ts.


Which of the following box has the greatest answer?


Jane has 18 stickers. She uses 2 stickers to paste on each card. How many cards did Jane make? Jane made <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cards using the stickers.

18 stickers used 2 per card: 18 divided by 2 = 9 cards.


There are 5 boys in a group. Each of them is given 7 sweets. How many sweets are given to the children in all? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> x <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

5 boys with 7 sweets each: 5 x 7 = 35 sweets in all.


1 less than 15 is 15 - 1 = 14. Answer key = 2 (14).


+ 3 = 12. What is the missing number in the box?

12 - 3 = 9, so the box is 9. Answer key = 3 (9).


Fill in the missing numbers. 16, 15, 14, 13, <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, 11, 10, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, 8

The pattern counts down by 1: ...13, 12, 11, 10, 9, 8. Missing values are 12 and 9. Answer key = 12, 9.


Arrange the numbers in order. Begin with the greatest. 13, 15, 18, 14 <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_3" class="fill-blank-input" placeholder="?" />

Ordering 13, 15, 18, 14 from greatest to smallest gives 18, 15, 14, 13. Answer key = 18, 15, 14, 13.


(a) 18 - <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> = 9. (b) Write '+' or '-': 7 <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> 4 = 11

(a) 18 - 9 = 9. (b) 7 + 4 = 11, so the sign is +. Answer key = 9 and +.


Michelle has 12 hair bows. Her sister gives her 5 more hair bows. How many hair bows does Michelle have now? Michelle has <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> hair bows now.

12 + 5 = 17. Michelle has 17 hair bows now. Answer key = 12 + 5 = 17.


There are 14 leaves on a plant. The caterpillars eat up some of them. 8 leaves are left on the plant. How many leaves do the caterpillars eat? The caterpillars eat <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> leaves.

14 - 8 = 6. The caterpillars eat 6 leaves. Answer key = 14 - 8 = 6.


Study the number pattern.
10, 9, 7, 6, 4, ____________, 1
The missing number is <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />.

The pattern decreases by 1 then 2 repeatedly: 10, -1=9, -2=7, -1=6, -2=4, -1=3, -2=1. The missing number is 3.


Siti has 7 hairclips. Her aunt gives her 3 more hairclips. How many hairclips does Siti have in all?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> + <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />
Siti has <input type="text" id="input_3" class="fill-blank-input" placeholder="?" /> hairclips in all.

Siti starts with 7 hairclips and gets 3 more. 7 + 3 = 10, so she has 10 hairclips in all.


Mother bought 10 eggs. 4 of them broke. How many eggs were not broken?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> - <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />
<input type="text" id="input_3" class="fill-blank-input" placeholder="?" /> eggs are not broken.

Mother bought 10 eggs and 4 broke. 10 - 4 = 6, so 6 eggs are not broken.


Arrange the numbers in order. Begin with the smallest.
12, 10, 18, 8
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_3" class="fill-blank-input" placeholder="?" />

Ordering 12, 10, 18, 8 from smallest to largest gives 8, 10, 12, 18.


Complete the number pattern.
17, 16, 15, <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, 13, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, 11, 10

The pattern counts down by 1 each time: 17, 16, 15, 14, 13, 12, 11, 10. The missing numbers are 14 and 12.


Sally has 13 cupcakes. Her mother gives her 7 cupcakes. How many cupcakes does Sally have altogether?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> + <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />
Sally has <input type="text" id="input_3" class="fill-blank-input" placeholder="?" /> cupcakes altogether.

Sally starts with 13 cupcakes and gets 7 more. 13 + 7 = 20, so she has 20 cupcakes altogether.


Sarah has 12 roses. She gives away 9 roses. How many roses has she left?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> - <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />
She has <input type="text" id="input_3" class="fill-blank-input" placeholder="?" /> roses left.

Sarah starts with 12 roses and gives away 9. 12 - 9 = 3, so she has 3 roses left.


John has 10 cookies in a bag and 9 cookies on a plate. How many cookies does he have altogether?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> + <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />
He has <input type="text" id="input_3" class="fill-blank-input" placeholder="?" /> cookies altogether.

John has 10 cookies in the bag and 9 on the plate. 10 + 9 = 19, so he has 19 cookies altogether.


Jane invites 14 friends to a party. She has 6 slices of pizza. She wants to give each friend a slice of pizza. How many more slices of pizza will she need?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> - <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />
She will need <input type="text" id="input_3" class="fill-blank-input" placeholder="?" /> more slices of pizza.

Jane needs 14 slices (one per friend) but has only 6. 14 - 6 = 8, so she needs 8 more slices.


Complete the number pattern. 17, 16, 15, <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, 13, 12

The numbers decrease by 1 each step, so the missing number between 15 and 13 is 14.


Complete the subtraction equation. 12 - 5 = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Write the missing number in the box. 3 + <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> = 16

3 plus the missing number gives 16, so the missing number is 16 - 3 = 13.


Joe has 7 white balloons. May has 4 black balloons. They have <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> balloons altogether.

7 white balloons plus 4 black balloons is 7 + 4 = 11 balloons altogether.


There are 18 burgers. The children ate 8 burgers. How many burgers are left? 18 - 8 = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

18 burgers minus the 8 eaten leaves 18 - 8 = 10 burgers.


Arrange the numbers in order, beginning with the smallest number. 12, 19, 8. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

Ordering from smallest to largest: 8, 12, 19.


Arrange the numbers in order. Begin with the biggest number.
84, 46, 69, 65
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> (biggest), <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_3" class="fill-blank-input" placeholder="?" />

From biggest to smallest: 84, 69, 65, 46.


Anna and Betty are playing a Math game. The person with the bigger number as the answer is the winner. Anna's card: 47 + 4. Betty's card: 50 - 2. Who is the winner?

Anna: 47 + 4 = 51. Betty: 50 - 2 = 48. 51 > 48, so Anna is the winner.


James buys 9 toy cars. Tom buys 25 toy cars. How many more toy cars does Tom buy than James?
Tom buys <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> more toy cars than James.

25 - 9 = 16, so Tom buys 16 more toy cars than James.


1 fifty-cent coin = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> five-cent coins

50 cents ÷ 5 cents = 10. One fifty-cent coin is worth ten five-cent coins.


Michael has 20 ice-cream sticks. He uses 5 ice-cream sticks to make a star. How many stars can he make?
He can make <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> stars.

20 ice-cream sticks ÷ 5 sticks per star = 4 stars.


Mrs Tan has 8 bags. There are 4 buttons on each bag. How many buttons are there altogether?
There are <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> buttons altogether.

8 bags with 4 buttons each: 8 × 4 = 32 buttons altogether.


Arrange the numbers in order. Begin with the greatest. 35, 19, 90, 53 <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_3" class="fill-blank-input" placeholder="?" />


Complete the number bond using all the numbers given. a) 37, 43, 6: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

The whole is the largest number 43; the parts are 37 and 6 (37 + 6 = 43).


Complete the number bond using all the numbers given. b) 82, 25, 57: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

The whole is the largest number 82; the parts are 25 and 57 (25 + 57 = 82).


Write an addition equation with the given numbers only: 16, 60, 76. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> + <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

16 + 60 = 76 (the train carriages show 16, 60 and 76).


Add. 32 + 49 = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Add. 18 + 82 = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Write a subtraction equation based on the number bond: whole 43, parts 13 and 30. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> - <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

The whole is 43; removing the part 13 leaves 30: 43 - 13 = 30.


Write a subtraction equation based on the number bond: whole 90, parts 81 and 9. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> - <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

The whole is 90; removing the part 81 leaves 9: 90 - 81 = 9.


Subtract. 93 - 27 = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Subtract. 50 - 46 = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


Complete the following number pattern. 98, 94, <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, 86, 82, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, 74, 70, 66

The pattern decreases by 4 each time. 94 - 4 = 90; 82 - 4 = 78.


Joan has 50 books. Jane has 15 books. How many books do they have altogether? They have <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> books altogether.

Altogether means add: 50 + 15 = 65 books.


At a fruit stall, there are 65 apples. There are 25 fewer watermelons than apples. How many watermelons are there? There are <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> watermelons.

Fewer means subtract: 65 - 25 = 40 watermelons.


Jill baked 40 cookies. She baked 10 muffins. How many fewer muffins than cookies did Jill bake? She baked <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> fewer muffins than cookies.

Find the difference: 40 - 10 = 30 fewer muffins.


Ms Tan has 80 books. She has 20 fewer books than Mr Wong. How many books does Mr Wong have? Mr Wong has <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> books.

Ms Tan has 20 fewer than Mr Wong, so Mr Wong has more: 80 + 20 = 100 books.


Fill in the missing numbers.
11, <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, 14, 15, <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />, 17

The numbers count up by 1: 11, 12, 13, 14, 15, 16, 17. The missing numbers are 12, 13 and 16.


Arrange the numbers in order. Start with the smallest.
20, 9, 11, 1 <br>(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />   (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />   (c) <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />   (d) <input type="text" id="input_3" class="fill-blank-input" placeholder="?" />

Ordering smallest to largest: 1, 9, 11, 20.


Add 5 to 7. The answer is <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />.


There are 5 stars in a row. Counting from the right, what is the position of the 2nd star from the right, counted from the left? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

The 2nd star from the right is the 4th star from the left in a row of 5 stars.


There are 13 fish in Tank A and Tank B altogether. There are 5 fish in Tank B. How many fish are there in Tank A?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> - <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

Tank A and Tank B have 13 fish; Tank B has 5. So Tank A has 13 - 5 = 8 fish.


8 and 2 make <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />.
4 + <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = 9

8 and 2 make 10. For 4 + [?] = 9, the missing number is 9 - 4 = 5.


1 more than <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> is 4.
<input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> is 1 less than 7.


Look at the number bonds and fill in the missing numbers.
5 and 3 make <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />.
2 and <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> make 6.

Number bond (a): 5 + 3 = 8 (whole). Number bond (b): whole is 6, one part is 2, so the missing part is 6 - 2 = 4.


Max, Ray, Henry and Eric are standing in a line. Max is in last position. Eric is standing between Henry and Ray. Write their names in the correct order.
1st: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_3" class="fill-blank-input" placeholder="?" />

Max is last (4th). Eric is between Henry and Ray. With Henry given as 1st, the order is Henry, Eric, Ray, Max.


Complete the number pattern.
(a) 21, 23, 25, 27, <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, 31, 33
(b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, 39, 38, 37, 36, 35

(a) The pattern increases by 2 each time, so the missing number is 29. (b) The pattern decreases by 1 each time, so before 39 comes 40.


Fill in the missing numbers.
(a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> is 3 less than 18.
(b) 2 more than 29 is <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />.


Fill in the missing numbers.
(a) 23 + <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> = 32
(b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> - 20 = 10


Sharon has 4 sweets. Wei Ming has 9 sweets. How many sweets do they have altogether?
They have <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> sweets altogether.

4 + 9 = 13. They have 13 sweets altogether.


15 children go to the zoo. 7 of them are girls and the rest are boys. How many boys are there?
There are <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> boys.


Glenda bakes 20 cupcakes. She gives 11 cupcakes to her friends. How many cupcakes are left?
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cupcakes are left.


Jim has 8 stamps. Ali has 10 more stamps than Jim. How many stamps does Ali have?
Ali has <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> stamps.


Linda needs 15 beads to make a bracelet. She has 9 beads now. How many more beads does she need?
She needs <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> more beads.


John puts 16 apples equally into 8 boxes. There are <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> apples in each box.

16 apples shared equally into 8 boxes: 16 divided by 8 = 2 apples in each box.


3 girls had their heights taken. Alice is taller than Carol but shorter than Beth. Write the name of each girl, from the shortest to the tallest. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

Alice is taller than Carol (Carol is shortest) and shorter than Beth (Beth is tallest). Order shortest to tallest: Carol, Alice, Beth.


Numbers: 82, 54, 47, 69. (a) 70 is smaller than <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />. (b) Arrange the numbers in order. Begin with the smallest. <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_3" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_4" class="fill-blank-input" placeholder="?" />

70 is smaller than 82 (the only number above 70). Ordered smallest to greatest: 47, 54, 69, 82.


Complete the number patterns. (a) <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, 52, 55, 58, 61, 64. (b) 58, 48, 38, 28, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, 8.

(a) The pattern increases by 3 each time, so before 52 is 49. (b) The pattern decreases by 10 each time, so after 28 is 18.


Fill in the missing numbers. (a) 63 - <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> = 50. (b) Subtract 48 from 100. The answer is <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />.


Fill in the missing numbers. (a) 51 + 29 = <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />. (b) <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> is 5 more than 72.


Sarah has 12 cookies. Ali has 6 more cookies than Sarah. How many cookies does Ali have? Ali has <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cookies.

'6 more than' means add: 12 + 6 = 18 cookies.


Ming Li had 20 lollipops. He gave some lollipops to his brother. He had 9 lollipops left. How many lollipops did he give to his brother? Ming Li gave <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> lollipops to his brother.


Nan Xi made some pizzas. She gave 5 pizzas to her friend and had 11 pizzas left. How many pizzas did Nan Xi make? Nan Xi made <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> pizzas.

Pizzas made = given away + left = 5 + 11 = 16.


Sam bought a notebook. He gave the cashier a one-dollar coin and got back 20c. How much did the notebook cost? The notebook cost <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> c.


Each small packet contains 3 stickers while each big packet contains 9 stickers. 3 small packets of stickers contain the same number of stickers as 1 big packet of stickers.

3 small packets = 3 × 3 = 9 stickers. 1 big packet = 9 stickers. They are equal, so the statement is True.


Each small packet contains 3 stickers while each big packet contains 9 stickers. There are more stickers in 4 small packets than 2 big packets.

4 small packets = 4 × 3 = 12 stickers. 2 big packets = 2 × 9 = 18 stickers. 12 is less than 18, so the statement is False.


Mrs Tay sews 5 buttons on each blouse. She will need <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> buttons on 7 blouses.

5 buttons per blouse on 7 blouses: 7 × 5 = 35 buttons.


Circle the flag that has the same answer as 2 + 6.

2 + 6 = 8. Among the flags, 5 + 3 = 8, so it has the same answer.


There are 8 erasers and pencils. 5 of them are erasers. How many pencils are there?
There are <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> pencils.


Study the number pattern.
0, 2, 3, 5, 6, ____________, 9
The missing number is <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />.

The pattern increases by 2, then 1, then 2, then 1...: 0 (+2) 2 (+1) 3 (+2) 5 (+1) 6 (+2) 8 (+1) 9. The missing number is 8.


Sulin has 3 rulers. Gopal has 2 rulers. How many rulers do they have altogether?
They have <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> rulers altogether.

3 + 2 = 5, so they have 5 rulers altogether.


John had 4 toy cars. His father bought him 2 more toy cars. How many toy cars did John have in all?
John had <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> toy cars in all.

4 + 2 = 6, so John had 6 toy cars in all.


Jane had 9 bananas. She ate 5 of them. How many bananas did she have left?
She had <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> bananas left.


Arrange the numbers in order. Begin with the greatest. 12, 7, 17, 11. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_3" class="fill-blank-input" placeholder="?" />

From greatest to smallest: 17, 12, 11, 7.


Use the numbers 7, 15 and 8 to form an addition equation. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> + <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

7 + 8 = 15, so the addition equation is 7 + 8 = 15.


Complete the number pattern. 5, 7, 9, <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, 13, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, 17, 19

The numbers increase by 2 each time: 5, 7, 9, 11, 13, 15, 17, 19.


Choose three numbers that add up to 13. 2, 6, 3, 5. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_1" class="fill-blank-input" placeholder="?" />, <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

2 + 6 + 5 = 13, so the three numbers are 2, 6 and 5.


Subtract the smallest number from the greatest number. 15, 19, 10. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> - <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

The greatest number is 19 and the smallest is 10. 19 - 10 = 9.


Ellie has 16 slices of pizza. She ate 4 of them. How many slices of pizza is left? There are <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> slices of pizza left.

16 - 4 = 12, so there are 12 slices of pizza left.


Sarah has 13 sweets. Her mother gave her 3 more sweets. How many sweets does she have altogether? She has <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> sweets altogether.

13 + 3 = 16, so she has 16 sweets altogether.


Jake has 10 cupcakes in a bag and 5 cupcakes on a plate. How many cupcakes does he have altogether? He has <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cupcakes altogether.

10 + 5 = 15, so he has 15 cupcakes altogether.


Kate had 15 roses. Fiona had 9 roses. Fiona wants to have the same number of roses as Kate. How many more roses will Fiona buy? Fiona will buy <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> more roses.

15 - 9 = 6, so Fiona will buy 6 more roses to have the same as Kate.


Sue has 6 packets of sweets. There are 5 sweets in each packet.
Write a multiplication equation to show the answer.
<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> × <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

6 packets with 5 sweets each: 6 × 5 = 30 sweets altogether.


Which one of the numbers is more than 4 but less than 7?

A number more than 4 but less than 7 is 5 or 6. Among the options, 6 fits.


0 and make 2. What is the missing number?

0 and a number make 2, so 0 + 2 = 2. The missing number is 2.


Which of the following has an answer less than 8?


Mrs Lee had 4 keys. Mrs Chan had 5 keys. How many keys did they have altogether?


I am thinking of a number. I add 3 to the number, I get 6. What is the number?


Arrange the numbers in order. Begin with the smallest number. 4, 0, 9, 6, 2 <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_2" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_3" class="fill-blank-input" placeholder="?" /> , <input type="text" id="input_4" class="fill-blank-input" placeholder="?" />

Order the numbers from smallest to largest: 0, 2, 4, 6, 9.


There are 3 big seashells and 5 small seashells. How many seashells are there altogether? There are <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> seashells altogether.


Sue has 4 blocks. Lisa has 6 more blocks than Sue. How many blocks does Lisa have? Lisa has <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> blocks.

Lisa has 6 more than Sue's 4: 4 + 6 = 10 blocks.


Ravi buys 8 cupcakes. Ahmad buys 1 more cupcake than Ravi. How many cupcakes does Ahmad buy? Ahmad buys <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cupcakes.

Ahmad buys 1 more than Ravi's 8: 8 + 1 = 9 cupcakes.


There are 2 cars and 5 motorbikes in a car park. How many cars and motorbikes are there altogether? There are <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> cars and motorbikes altogether.


9 + 9 = 18. The other pairs give 11, 14 and 12.


There are 9 children singing in the hall. 4 of them are boys. How many girls are there?


Write eleven in numeral. <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


At a library, Devi is in the 4th position in the queue to borrow a book. There are 5 people behind her. How many people are there in the queue? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Devi being 4th means 4 people are in front of and including her, and 5 are behind. 4 + 5 = 9 people.


There are 13 carrots in Garden A. There are 5 carrots in Garden B. How many carrots are there altogether in the two gardens? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> + <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

13 carrots + 5 carrots = 18 carrots altogether.


Lilian has 14 flowers at first. Her mother gives her another 6 flowers. How many flowers does she have altogether now? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> + <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

14 flowers + 6 flowers = 20 flowers altogether.


All the ants were on a plate at first. Soon, 11 ants crawled away to look for food. Then, there were 4 ants left on the plate. How many ants were there on the plate at first? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> + <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> = <input type="text" id="input_2" class="fill-blank-input" placeholder="?" />

The ants that crawled away plus the ants left equal the starting number: 11 + 4 = 15 ants.


Li Wen and Deepa have some balls. Li Wen has 7 balls. Deepa has 2 fewer balls than Li Wen. How many balls do they have altogether? <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Deepa has 7 - 2 = 5 balls. Together: 7 + 5 = 12 balls.


Wei Ling had some money. After buying a wallet, he had $13 left. The wallet costs $38. How much did Wei Ling have at first?

Money at first = money spent + money left = $38 + $13 = $51.


Fill in the blanks with cm or m. (a) The length of your pencil case is about 20 . (b) The height of a flag pole is about 6 .

A pencil case is about 20 cm long; a flag pole is about 6 m tall. So (a) is cm and (b) is m.


A rice seller sold 100 kg of rice on the first day. He sold 21 kg more rice on the first day than on the second day. (a) How much rice did he sell on the second day? He sold <input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> of rice on the second day. (b) How much rice did he sell altogether in the two days? He sold <input type="text" id="input_1" class="fill-blank-input" placeholder="?" /> of rice altogether in the two days.


A microwave oven costs $368. A kettle costs $270 less than the microwave oven. A fan costs $159. How much more does the fan cost than the kettle? The fan costs $<input type="text" id="input_0" class="fill-blank-input" placeholder="?" /> more than the kettle.

Kettle = $368 - $270 = $98. Fan costs $159 - $98 = $61 more than the kettle.


Which one of the following numbers is an odd number?

An odd number ends in 1, 3, 5, 7 or 9. Only 217 ends in 7, so 217 is odd.


Subtract 68 from 908. <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />


372 people visited a carnival on Friday. 29 fewer people visited the carnival on Saturday than on Friday. How many people visited the carnival on Saturday? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Saturday = Friday - 29 = 372 - 29 = 343 people.


372 people visited a carnival on Friday. 29 fewer people visited the carnival on Saturday than on Friday. How many people visited the carnival on Friday and Saturday altogether? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Saturday = 343 (from part a). Altogether = 372 + 343 = 715 people.


Anne has 18 pencils. She has 2 times as many pencils as Ben. How many pencils does Ben have? <br>Answer: <input type="text" id="input_0" class="fill-blank-input" placeholder="?" />

Anne has 2 times Ben's pencils, so Ben = 18 ÷ 2 = 9 pencils.


Inner radius (garden) = 14 m

Outer radius (garden + path) = 14 + 7 = 21 m

(a) Area of the path:

Area of outer circle = π × 21² = 22/7 × 441 = 1386 m²

Area of inner circle (garden) = π × 14² = 22/7 × 196 = 616 m²

Area of path = 1386 − 616 = 770 m²

(b) Cost of paving:

Cost = 770 × 12 = 9240 dollars


Diameter = 42 cm, Radius = 21 cm

(a) Area of whole pizza:

Area = π × 21² = 22/7 × 441 = 1386 cm²

(b) Area of each slice:

Area of each slice = 1386 ÷ 6 = 231 cm²

(c) Perimeter of each slice:

Arc length of each slice = (1/6) × 2 × π × 21 = (1/6) × 132 = 22 cm

Two straight edges (radii) = 2 × 21 = 42 cm

Perimeter of each slice = 22 + 42 = 64 cm


Radius = 35 m

(a) Circumference of the pond:

Circumference = 2 × π × 35 = 2 × 22/7 × 35 = 220 m

(b) Cost of fencing:

Cost = 220 × <math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>8.50</mn><mo>=</mo></mrow><annotation encoding="application/x-tex">8.50 = </annotation></semantics></math>8.50=1870

(c) Area of the pond:

Area = π × 35² = 22/7 × 1225 = 3850 m²


6 + 4 = 10. The other pairs make 9, 8 and 7.


The numbers around 15 are 14 and 16. Since 16 is given, the other is 14.


14 goldfish - 6 tortoises = 8. There are 8 fewer tortoises than goldfish.


7 + 8 = 15, which is not 78. The others all equal 78.


26 + 38 = 64. They bought 64 apples in all.


52 - 23 = 29. Mickey has 29 more erasers than Ken.


80 - 35 = 45. Benny needs 45 more ice-cream sticks.


Tens digit = 5 + 3 = 8; ones digit = 8 - 1 = 7. The number is 87.


(a) 6 + 8 = 14 egg and cheese tarts. (b) 19 - 14 = 5 apple tarts.


10 cannot be divided equally by 3 (No). 10 can be divided equally by 5, giving 2 per box (Yes).


The ice cream costs $5 and Ravi has $3. He needs $5 − $3 = $2 more.


(a) Lynn has 18. (b) Kyra = 18 + 4 = 22; 22 - 6 = 16 more than Cindy. (c) Lynn 18 + Cindy 6 = 24, so Lynn and Cindy.


The full sum is 95 - 20 = 75. The missing ones digit is 0 and the answer's tens digit is 7.


2 x 8 = 16, so 8 + 8 = 16. The missing number is 8.


4 sevens means 4 x 7 = 28, which is the same as 7 + 7 + 7 + 7. '47' is not equal to 28, so it is the odd one out.


6 apples + 4 pears = 10 fruits. Shared equally into 2 baskets gives 10 ÷ 2 = 5 fruits in each basket.


Oscar shares 12 toy cars among himself and his 3 friends, that is 4 people, so 12 ÷ 4 = 3 cars each. The answer key marks each friend getting 3 toy cars.


Each letter T uses 2 sticks. 6 sticks divided by 2 = 3 letter Ts.


1 less than 15 is 15 - 1 = 14. Answer key = 2 (14).


12 - 3 = 9, so the box is 9. Answer key = 3 (9).


The pattern counts down by 1: ...13, 12, 11, 10, 9, 8. Missing values are 12 and 9. Answer key = 12, 9.


Ordering 13, 15, 18, 14 from greatest to smallest gives 18, 15, 14, 13. Answer key = 18, 15, 14, 13.


(a) 18 - 9 = 9. (b) 7 + 4 = 11, so the sign is +. Answer key = 9 and +.


12 + 5 = 17. Michelle has 17 hair bows now. Answer key = 12 + 5 = 17.


14 - 8 = 6. The caterpillars eat 6 leaves. Answer key = 14 - 8 = 6.


The pattern decreases by 1 then 2 repeatedly: 10, -1=9, -2=7, -1=6, -2=4, -1=3, -2=1. The missing number is 3.


Siti starts with 7 hairclips and gets 3 more. 7 + 3 = 10, so she has 10 hairclips in all.


Mother bought 10 eggs and 4 broke. 10 - 4 = 6, so 6 eggs are not broken.


The pattern counts down by 1 each time: 17, 16, 15, 14, 13, 12, 11, 10. The missing numbers are 14 and 12.


Sally starts with 13 cupcakes and gets 7 more. 13 + 7 = 20, so she has 20 cupcakes altogether.


Sarah starts with 12 roses and gives away 9. 12 - 9 = 3, so she has 3 roses left.


John has 10 cookies in the bag and 9 on the plate. 10 + 9 = 19, so he has 19 cookies altogether.


Jane needs 14 slices (one per friend) but has only 6. 14 - 6 = 8, so she needs 8 more slices.


Anna: 47 + 4 = 51. Betty: 50 - 2 = 48. 51 > 48, so Anna is the winner.


50 cents ÷ 5 cents = 10. One fifty-cent coin is worth ten five-cent coins.


The pattern decreases by 4 each time. 94 - 4 = 90; 82 - 4 = 78.


The numbers count up by 1: 11, 12, 13, 14, 15, 16, 17. The missing numbers are 12, 13 and 16.


Tank A and Tank B have 13 fish; Tank B has 5. So Tank A has 13 - 5 = 8 fish.


8 and 2 make 10. For 4 + [?] = 9, the missing number is 9 - 4 = 5.


Number bond (a): 5 + 3 = 8 (whole). Number bond (b): whole is 6, one part is 2, so the missing part is 6 - 2 = 4.


Max is last (4th). Eric is between Henry and Ray. With Henry given as 1st, the order is Henry, Eric, Ray, Max.


(a) The pattern increases by 2 each time, so the missing number is 29. (b) The pattern decreases by 1 each time, so before 39 comes 40.


4 + 9 = 13. They have 13 sweets altogether.


Alice is taller than Carol (Carol is shortest) and shorter than Beth (Beth is tallest). Order shortest to tallest: Carol, Alice, Beth.


70 is smaller than 82 (the only number above 70). Ordered smallest to greatest: 47, 54, 69, 82.


(a) The pattern increases by 3 each time, so before 52 is 49. (b) The pattern decreases by 10 each time, so after 28 is 18.


3 small packets = 3 × 3 = 9 stickers. 1 big packet = 9 stickers. They are equal, so the statement is True.


4 small packets = 4 × 3 = 12 stickers. 2 big packets = 2 × 9 = 18 stickers. 12 is less than 18, so the statement is False.


2 + 6 = 8. Among the flags, 5 + 3 = 8, so it has the same answer.


The pattern increases by 2, then 1, then 2, then 1...: 0 (+2) 2 (+1) 3 (+2) 5 (+1) 6 (+2) 8 (+1) 9. The missing number is 8.


The greatest number is 19 and the smallest is 10. 19 - 10 = 9.


A number more than 4 but less than 7 is 5 or 6. Among the options, 6 fits.


0 and a number make 2, so 0 + 2 = 2. The missing number is 2.


9 + 9 = 18. The other pairs give 11, 14 and 12.


Devi being 4th means 4 people are in front of and including her, and 5 are behind. 4 + 5 = 9 people.


Deepa has 7 - 2 = 5 balls. Together: 7 + 5 = 12 balls.


A pencil case is about 20 cm long; a flag pole is about 6 m tall. So (a) is cm and (b) is m.


An odd number ends in 1, 3, 5, 7 or 9. Only 217 ends in 7, so 217 is odd.