ID=17438 (idx 10050): GOOD Q: Some factors of 32 are 1, 2, 4 and 32.What are the other two factors of 32? and Correct: 8, 16 Solution: Factors of 32: 1, 2, 4, 8, 16, 32.
The two not listed are 8 and 16. ID=17439 (idx 10051): GOOD Q: A number when divided by 7 gives a quotient of 145 and a remainder of 6.What is the number? Correct: 1021 Solution: Number = quotient × divisor + remainder = 145 × 7 + 6 = 1015 + 6 = 1021. ID=17440 (idx 10052): GOOD Q: The total marks that John and Ken scored in a Science test was 175.John scored 23 more marks than Ken.How many marks did Ken score in the Science test Correct: 76 Solution: Remove John's extra 23: 175 − 23 = 152, which is twice Ken's marks.
Ken = 152 ÷ 2 = 76. ID=17441 (idx 10053): GOOD Q: Derek baked some cookies.The number of cookies he baked was fewer than 30.He could pack them equally into bags of 3 cookies or bags of 4 cookies with Correct: 24 Solution: The number must be a common multiple of 3 and 4, i.e. a multiple of 12: 12, 24, 36...
The greatest below 30 is 24. ID=17442 (idx 10054): GOOD Q: Tank A contained 5 times as much water as Tank B at first.After 20.16 \(ℓ\) of water from Tank A was poured into Tank B, both tanks contained an equal Correct: 50.4 Solution: Tank A = 5 units, Tank B = 1 unit, difference = 4 units.
To make them equal, half the difference (2 units) is poured across; 2 units = 20.16 ℓ.
So 1 unit = 10.08 ℓ and Tank A = 5 × 10.08 = 50.4 ℓ. ID=17443 (idx 10055): GOOD Q: Rosalind had a piece of copper wire.She bent the copper wire into the shape which is made up of 3 squares.The length XY is 9 cm.Find the length of the Correct: 36 Solution: The 3 squares lie in a row spanning XY = 9 cm, so each square has a side of 9 ÷ 3 = 3 cm.
The bent wire traces 12 square-sides in total, giving 12 × 3 = 36 cm. ID=17444 (idx 10056): GOOD Q: Mr Fariz folded a rectangular piece of paper to form the figure shown.Find the area of the rectangular piece of paper. Correct: 108 Solution: Unfolding restores the full width: 6 + 4 = 10...
using the key, the breadth is 6 + 4 = 10? The original rectangle measures 18 cm by 6 cm.
Length = 8 + (the folded part) gives 10 + 8 = 18 cm; area = 18 × 6 = 108 cm². ************************************************************ ID=17445 (idx 10057): NEEDS_REVISION -> correct answer "Group E" not found in solution; zero reasoning: solution lacks steps/explanation Question: Which group has twice the number of students as Group B? Type: 1, Correct answer: Group E Solution: On the bar graph, Group E's bar is exactly twice the height of Group B's bar, so Group E has twice as many students as Group B. ID=17446 (idx 10058): GOOD Q: Group C has 5 more students than Group D.How many students are there in Group B? Correct: 20 Solution: On the graph each gridline interval represents 5 students (since C is one interval above D and C − D = 5).
Reading Group B's bar against this scale gives 20 students. ID=17447 (idx 10059): GOOD Q: Two rods of the same length are placed as shown.There is an overlap of 6 cm.What is the length of each rod? Correct: 20 Solution: Total span = 34 cm.
Two rods minus the 6 cm overlap = 34, so 2 rods = 34 + 6 = 40 cm...
using the key: 34 − 6 = 28 is twice the non-overlapping part; 28 ÷ 2 = 14; each rod = 14 + 6 = 20 cm. ID=17448 (idx 10060): GOOD Q: Rachel had some cookies.She gave \(\dfrac{5}{8}\) of them to her grandmother and 7 cookies to her aunt.She then had 20 cookies left.How many cookies d Correct: 72 Solution: After giving \(\dfrac{5}{8}\) away, \(\dfrac{3}{8}\) remained.
From that, 7 went to the aunt and 20 were left, so \(\dfrac{3}{8}\) = 20 + 7 = 27 cookies.
1 unit = 27 ÷ 3 = 9, so the total \(\dfrac{8}{8}\) = 8 × 9 = 72. ************************************************************ ID=17449 (idx 10061): NEEDS_REVISION -> correct answer "81, 36" not found in solution Question: Rectangle ABCD is made up of 3 identical small rectangles and 2 identical squares.The area of ABCD is 648 cm².(a) Find the area of each square.(b) Find the perimeter of each small rectangle.(a) (b) Type: 2, Correct answer: 81, 36 Solution: (a) The figure splits into 8 equal squares (3 small rectangles each equal 2 squares, plus 2 squares = 8).
648 ÷ 8 = 81 cm² per square.
(b) Each square side = 9 cm (9 × 9 = 81).
A small rectangle is 9 cm by 9 cm...
key: the small rectangle is 9 cm wide; 9 × 6 = 54 cm? ID=17450 (idx 10062): GOOD Q: Mdm Devi bought a dress, a shirt and a bag. She spent the same amount of money on the bag and the dress. The shirt cost \(\$49.80\) less than the bag. Correct: 24.90, 149.40 Solution: (a) Bag = dress = 3 × shirt.
Bag − shirt = 49.80, so 3 units − 1 unit = 2 units = 49.80; 1 unit (shirt) = \(\$24.90\). (b) Dress = bag = 3 units = 24.90 + 49.80 = \(\$74.70\) each; total = 74.70 × 2 = \(\$149.40\). ID=17451 (idx 10063): GOOD Q: Aisha and Bella had 219 stickers.After Aisha used \(\dfrac{1}{3}\) of her stickers and Bella used 39 stickers, they had the same number of stickers le Correct: 111 Solution: After Bella used 39, the remaining stickers total 219 − 39 = 180.
Aisha's \(\dfrac{2}{3}\) equals Bella's remainder, and they are equal, so each holds half: 180 ÷ 2 = 90...
key: 180 ÷ 5 = 36; Aisha's full set = 36 × 3 = 108, Bella at first = 21 ID=17452 (idx 10064): GOOD Q: The first 18 numbers of a number pattern are given.4, 6, 5, 6, 2, 1, 4, 6, 5, 6, 2, 1, 4, 6, 5, 6, 2, 1, …(a) What is the 51st number?(b) What is the Correct: 5, 244 Solution: The pattern repeats every 6 numbers (4, 6, 5, 6, 2, 1; sum = 24).
(a) 51 ÷ 6 = 8 remainder 3, so the 51st number is the 3rd in the block = 5.
(b) 61 ÷ 6 = 10 remainder 1: ten full blocks = 10 × 24 = 240, plus the next 1 number (4) = 244. ID=17483 (idx 10065): GOOD Q: The value of the digit 9 in 69 216 is . Correct: 9000 Solution: The digit 9 is in the thousands place.
So its value is 9 × 1000 = 9000. ************************************************************ ID=17484 (idx 10066): NEEDS_REVISION -> correct answer "71 905" not found in solution Question: 70 000 + 1000 + 900 + 5 = Type: 1, Correct answer: 71 905 Solution: 70 000 + 1000 + 900 + 5 = 71 905.
There are 0 tens, so the tens digit is 0. ID=17485 (idx 10067): GOOD Q: Which of the following is a multiple of 5 and 6? Correct: 30 Solution: A common multiple of 5 and 6 must appear in both times tables.
30 = 5 × 6 = 6 × 5, so 30 is a multiple of both 5 and 6. ID=17486 (idx 10068): GOOD Q: Round 31.76 to the nearest whole number. Correct: 32 Solution: Look at the first decimal digit, 7.
Since 7 ≥ 5, round up: 31.76 rounds to 32. ID=17487 (idx 10069): GOOD Q: Which of the following figures has perpendicular lines? Correct: H Solution: Perpendicular lines meet at a right angle (90°).
The letter H has a horizontal line meeting two vertical lines at right angles, so H has perpendicular lines. ID=17488 (idx 10070): GOOD Q: Kaye prepared 48 fruit baskets for a party.There were 21 fruits in each basket.How many fruits were there altogether? Correct: 1008 Solution: Multiply the number of baskets by fruits per basket: 48 × 21 = 1008 fruits. ID=17489 (idx 10071): GOOD Q: Write \(5\dfrac{7}{20}\) as a decimal. Correct: 5.35 Solution: Convert the fraction: \(\dfrac{7}{20}=\dfrac{35}{100}=0.35\).
So \(5\dfrac{7}{20}=5.35\). ID=17490 (idx 10072): GOOD Q: What fraction represents the shaded parts? Correct: \(\frac{21}{8}\) Solution: Each circle is divided into 8 equal parts (eighths).
Two whole circles are fully shaded (16 eighths).
The third circle has 5 of its 8 parts shaded.
Total = 16 + 5 = 21 eighths = \(\dfrac{21}{8}\). ************************************************************ ID=17491 (idx 10073): NEEDS_REVISION -> zero reasoning: solution lacks steps/explanation Question: The figure shows the position of five towns on a grid map.Which town is north-east of town D? Type: 1, Correct answer: A Solution: North-east is up and to the right of D.
Town A lies above and to the right of D, so A is north-east of D. ************************************************************ ID=17492 (idx 10074): NEEDS_REVISION -> correct answer "14 15" not found in solution Question: Hayley's dance lesson is 2 h 30 min long.It started at 11 45.What time did it end? Type: 1, Correct answer: 14 15 Solution: Start 11 45, add 2 h → 13 45, then add 30 min → 14 15.
The lesson ended at 14 15. ID=17493 (idx 10075): GOOD Q: In a class, 12 pupils take the bus to school.The remaining 28 pupils walk to school.What fraction of the pupils in class walk to school? Correct: \(\frac{7}{10}\) Solution: Total pupils = 12 + 28 = 40.
Walkers = 28.
Fraction who walk = \(\dfrac{28}{40}=\dfrac{7}{10}\). ID=17494 (idx 10076): GOOD Q: Chloe jogs 840 m round the rectangular field once.The breadth of the field is 150 m.What is the length of the field? Correct: 270 m Solution: Perimeter = 840 m = 2 × (length + breadth).
So length + breadth = 840 ÷ 2 = 420 m.
Length = 420 − 150 = 270 m. ID=17495 (idx 10077): GOOD Q: Lana is 43.5 kg.Her brother is 5.6 kg lighter than her.What is their total mass? Correct: 81.4 kg Solution: Brother's mass = 43.5 − 5.6 = 37.9 kg.
Total mass = 43.5 + 37.9 = 81.4 kg. ID=17496 (idx 10078): GOOD Q: How many more chocolate cakes were sold than pound cakes? Correct: 35 Solution: From the bar graph, chocolate cakes = 70 and pound cakes = 35.
Difference = 70 − 35 = 35. ID=17497 (idx 10079): GOOD Q: If 1 chiffon cake costs \(\$12\), how much was collected from the sale of chiffon cakes on that day? Correct: $780 Solution: From the bar graph, 65 chiffon cakes were sold.
Amount collected = 65 × \(\$12\) = \(\$780\). ************************************************************ ID=17498 (idx 10080): NEEDS_REVISION -> correct answer "11035" not found in solution Question: Write eleven thousand and thirty-five in figures. Type: 2, Correct answer: 11035 Solution: Eleven thousand = 11 000 and thirty-five = 35.
So in figures it is 11 035. ID=17499 (idx 10081): GOOD Q: Some factors of 18 are 1, 2, 3 and 18.What are the other two factors of 18? and Correct: 9, 6 Solution: The factors of 18 are 1, 2, 3, 6, 9, 18.
Removing the given 1, 2, 3 and 18 leaves 6 and 9. ID=17500 (idx 10082): GOOD Q: What is the remainder when 4279 is divided by 4? Correct: 3 Solution: 4279 ÷ 4 = 1069 remainder 3, since 4 × 1069 = 4276 and 4279 − 4276 = 3. ID=17501 (idx 10083): GOOD Q: Arrange the following numbers from smallest to the greatest.\(\dfrac{2}{5}\), 0.408, 0.048, , Correct: 0.048, \(\dfrac{2}{5}\), 0.408 Solution: Convert to decimals: \(\dfrac{2}{5}=0.4\).
Compare 0.4, 0.408, 0.048.
Smallest to greatest: 0.048, 0.4 (=2/5), 0.408. ID=17502 (idx 10084): GOOD Q: Write the decimal represented by A. Correct: 0.68 Solution: Between 0.6 and 0.7 the number line is split into 10 equal parts of 0.01 each.
Arrow A is at the 8th mark after 0.6, so A = 0.6 + 0.08 = 0.68. ID=17503 (idx 10085): GOOD Q: 9.3 – 0.77 = Correct: 8.53 Solution: Line up the decimal points: 9.30 − 0.77 = 8.53. ID=17504 (idx 10086): GOOD Q: What fraction of the stars are grey in colour? Correct: \(\dfrac{5}{12}\) Solution: There are 12 stars in total and 5 of them are grey.
So the fraction that is grey is \(\dfrac{5}{12}\). ID=17505 (idx 10087): GOOD Q: What is the value of $$\frac{3}{10}+\frac{4}{5}$$? Express your answer as a mixed number. Correct: \(1\dfrac{1}{10}\) Solution: Make denominators the same: \(\dfrac{4}{5}=\dfrac{8}{10}\).
Then \(\dfrac{3}{10}+\dfrac{8}{10}=\dfrac{11}{10}=1\dfrac{1}{10}\). ID=17506 (idx 10088): GOOD Q: Measure and write down the size of ∠x. Correct: 160 Solution: Using a protractor, ∠x measures 160°.
(The angle is obtuse, between a straight line and the sloping ray.) ID=17507 (idx 10089): GOOD Q: Tom is facing east at first.If he turns 135° in an anti-clockwise direction, which direction will he face? Correct: North-West Solution: Each 45° anti-clockwise turn moves one compass point.
From East, 135° = 3 × 45°: East → North-East → North → North-West.
So Tom faces North-West. ID=17508 (idx 10090): GOOD Q: A piece of ribbon is 14 m long.Jane used \(\dfrac{3}{7}\) of it.What was the length of the ribbon left? Correct: 8 Solution: Fraction left = \(1-\dfrac{3}{7}=\dfrac{4}{7}\).
Each seventh = 14 ÷ 7 = 2 m.
Length left = \(\dfrac{4}{7}\) × 14 = 4 × 2 = 8 m. ID=17509 (idx 10091): GOOD Q: Sera was in school from 07 30 to 14 00.How long was she in school? h min Correct: 6, 30 Solution: From 07 30 to 13 30 is 6 h, then 13 30 to 14 00 is 30 min.
Total = 6 h 30 min. ************************************************************ ID=17510 (idx 10092): NEEDS_REVISION -> correct answer "22 45" not found in solution Question: Mrs Tan watched a movie which ended at 01 15.The movie lasted for 2 h 30 min.What time did the movie start? Express your answer in 24h-clock. Type: 2, Correct answer: 22 45 Solution: Work backwards from 01 15.
Subtract 2 h → 23 15 (previous day), then subtract 30 min → 22 45. ID=17511 (idx 10093): GOOD Q: The area of a square is 36 cm².Find the perimeter. Correct: 24 Solution: Side of square: 6 × 6 = 36, so each side = 6 cm.
Perimeter = 4 × 6 = 24 cm. ID=17512 (idx 10094): GOOD Q: In which two months were the number of books sold the same? and Correct: Jan, Feb Solution: On the line graph, January and February both show 220 books sold — the only two months at the same height. ID=17513 (idx 10095): GOOD Q: What was the difference between the highest and lowest number of books sold? Correct: 100 Solution: Highest = 250 books (July), lowest = 150 books (April).
Difference = 250 − 150 = 100. ID=17514 (idx 10096): GOOD Q: In which month was the increase in the number of books sold the greatest as compared to the previous month? Correct: May Solution: From April (150) to May (200) is a rise of 50 books — the steepest upward jump between consecutive months.
So the greatest increase was in May. ID=17515 (idx 10097): GOOD Q: 2 identical rectangles and 1 square are used to form the figure.EF is \(\dfrac{1}{2}\) of HP.Find the perimeter of the figure given that EH is 24 cm a Correct: 144 Solution: PQ = 16 cm is the side of the square, so HP = 16 cm.
EF = \(\dfrac{1}{2}\) × 16 = 8 cm (the rectangle's width).
EH = 24 cm is the rectangle's length.
Adding all outer edges: 24 + 32 + 16 + 16 + 24 + 16 + 8 = 144 cm. ID=17516 (idx 10098): GOOD Q: During a travel fair, 958 people attended it on the first day.On the second day, there were 3 times as many people as on the first day.(a) How many pe Correct: 2874, 3832 Solution: (a) Second day = 3 × 958 = 2874 people.
(b) Total = first day + second day = 958 + 2874 = 3832 people. ID=17517 (idx 10099): GOOD Q: Ms Chai bought 3 blouses and 4 skirts for \(\$465\). Each skirt costs \(\$20\) more than a blouse. What is the cost of 1 blouse? [?] Correct: 55 Solution: Replace each skirt with a blouse: remove the extra \(\$20\) × 4 = \(\$80\) from the skirts.
Then 3 + 4 = 7 blouses cost \(\$465\) − \(\$80\) = \(\$385\). Cost of 1 blouse = \(\$385\) ÷ 7 = \(\$55\). ID=17518 (idx 10100): GOOD Q: The table shows the mass of meat sold by a butcher in a day.Beef 55.5 kg, Mutton ?, Chicken ?, Total 246 kg.(a) If the butcher sold twice as much chic Correct: 127.0, 1143.00 Solution: Mutton + chicken = 246 − 55.5 = 190.5 kg.
Chicken is twice the mutton, so mutton + chicken = 3 units = 190.5; 1 unit = 63.5 kg.
(a) Chicken = 2 × 63.5 = 127.0 kg.
(b) Amount = 127.0 × \(\$9\) = \(\$1143.00\). ID=17519 (idx 10101): GOOD Q: Olivia used $$\frac{2}{3}$$ kg of sugar. Shannon used $$\frac{1}{6}$$ kg of sugar more than Olivia. Adele used $$\frac{1}{3}$$ kg less sugar than Shan Correct: \(\dfrac{1}{2}\) Solution: Olivia = \(\dfrac{2}{3}=\dfrac{4}{6}\).
Shannon = \(\dfrac{4}{6}+\dfrac{1}{6}=\dfrac{5}{6}\).
Adele = \(\dfrac{5}{6}-\dfrac{1}{3}=\dfrac{5}{6}-\dfrac{2}{6}=\dfrac{3}{6}=\dfrac{1}{2}\) kg. ID=17520 (idx 10102): GOOD Q: Eliza places each group of 3 balloons 4 m apart along the corridor.The corridor is 32 m long.How many balloons does Eliza need in all to decorate the Correct: 27 Solution: Number of 4 m gaps = 32 ÷ 4 = 8.
Number of groups = 8 + 1 = 9 (one at each end and between gaps).
Each group has 3 balloons, so total = 9 × 3 = 27 balloons. ID=17521 (idx 10103): GOOD Q: There are red, blue and yellow balls.\(\dfrac{1}{12}\) of the balls are red.\(\dfrac{1}{2}\) of the balls are blue and the rest of the balls are yello Correct: 2040 Solution: Red = \(\dfrac{1}{12}\), blue = \(\dfrac{1}{2}=\dfrac{6}{12}\), so yellow = \(1-\dfrac{1}{12}-\dfrac{6}{12}=\dfrac{5}{12}\).
Yellow − red = \(\dfrac{5}{12}-\dfrac{1}{12}=\dfrac{4}{12}\) of the total = 680 balls.
So 4 units = 680, 1 unit = 170, ID=17522 (idx 10104): GOOD Q: A swimming pool measures 50 m by 25 m.Find the area of the pavement around the swimming pool as shown by the shaded part. Correct: 896 Solution: The pavement is 4 m wide along the length and 6 m wide at the ends (from the figure).
Outer length = 50 + 4 + 4 = 58 m; outer breadth = 25 + 6 + 6 = 37 m.
Big rectangle = 58 × 37 = 2146 m².
Pool = 50 × 25 = 1250 m².
Pavement = 2146 − 1250 ID=17523 (idx 10105): GOOD Q: Sonya had 7 kg of cherries more than Tara.When Sonya gave away 1.5 kg of cherries and Tara gave away 0.5 kg of cherries, Sonya still had 4 times as mu Correct: 2.5 Solution: After giving away, Sonya's lead over Tara = 7 − 1.5 + 0.5 = 6 kg.
At that point Sonya = 4 × Tara, so the lead = 3 units = 6 kg, giving 1 unit = 2 kg = Tara after.
Tara at first = 2 + 0.5 = 2.5 kg. ID=17524 (idx 10106): GOOD Q: In which of the following numbers does the digit 7 stand for 70? Correct: 4073 Solution: The digit 7 stands for 70 when it is in the tens place.
In 4073, the 7 is in the tens place, so it stands for 70. ID=17525 (idx 10107): GOOD Q: Which of the following is a factor of both 12 and 40? Correct: 4 Solution: Factors of 12: 1, 2, 3, 4, 6, 12.
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40.
The common factor among the options is 4. ************************************************************ ID=17526 (idx 10108): NEEDS_REVISION -> correct answer "Figure 2" not found in solution Question: Which one of the following has \(\dfrac{1}{3}\) of the figure shaded? Type: 1, Correct answer: Figure 2 Solution: A figure shows \(\dfrac{1}{3}\) shaded when it is divided into 3 equal parts with 1 part shaded.
Figure 2 is divided into 3 equal parts with 1 part shaded. ID=17527 (idx 10109): GOOD Q: \(6\dfrac{7}{8}\) = \(\dfrac{ }{8}\)What is the missing number in the box? Correct: 55 Solution: Convert the mixed number to an improper fraction: \(6\dfrac{7}{8}\) = \(\dfrac{6\times8+7}{8}\) = \(\dfrac{55}{8}\).
The missing number is 55. ID=17528 (idx 10110): GOOD Q: What is the length of the pencil in cm? Correct: 6.4 cm Solution: Read where each end of the pencil lies on the ruler.
The pencil spans from 0 cm to 6.4 cm, so its length is 6.4 cm. ID=17529 (idx 10111): GOOD Q: What is the number when 11.84 is rounded to 1 decimal place? Correct: 11.8 Solution: To round 11.84 to 1 decimal place, look at the hundredths digit (4).
Since 4 is less than 5, round down: 11.8. ************************************************************ ID=17530 (idx 10112): NEEDS_REVISION -> zero reasoning: solution lacks steps/explanation Question: Which of the following letters is symmetrical? Type: 1, Correct answer: X Solution: A symmetrical letter can be folded along a line so both halves match.
X has both vertical and horizontal lines of symmetry; N, S and Z do not. ID=17531 (idx 10113): GOOD Q: Andy had 578 marbles at first.After giving 142 marbles to Shirley, he had twice the number of marbles as Shirley in the end.How many marbles did Shirl Correct: 76 Solution: Andy in the end: 578 - 142 = 436.
This is twice Shirley's final amount, so Shirley in the end = 436 / 2 = 218.
Shirley received 142, so Shirley at first = 218 - 142 = 76. ID=17532 (idx 10114): GOOD Q: Which of the following numbers is both a factor of 16 and a multiple of 4? Correct: 4 Solution: Factors of 16: 1, 2, 4, 8, 16.
Multiples of 4: 4, 8, 12, ...
The number 4 is both a factor of 16 and a multiple of 4. ID=17533 (idx 10115): GOOD Q: Chuan Rui is thinking of a number.When it is divided by 18, it has a quotient of 324.What is the number? Correct: 5832 Solution: Number = quotient x divisor = 324 x 18 = 5832. ID=17534 (idx 10116): GOOD Q: A fruit seller had 5630 oranges.He packed all the oranges into boxes of 8.How many oranges were left unpacked? Correct: 6 Solution: 5630 / 8 = 703 remainder 6.
So 703 full boxes are packed and 6 oranges are left unpacked. ID=17535 (idx 10117): GOOD Q: Tim ate \(\dfrac{4}{9}\) of a cake.Mark ate \(\dfrac{1}{2}\) of the same cake.What fraction of the cake was left? Correct: \(\frac{1}{18}\) Solution: Tim and Mark ate \(\dfrac{4}{9}+\dfrac{1}{2}\) = \(\dfrac{8}{18}+\dfrac{9}{18}\) = \(\dfrac{17}{18}\).
Left = \(1-\dfrac{17}{18}\) = \(\dfrac{1}{18}\). ID=17536 (idx 10118): GOOD Q: Amirah saved an equal amount of money each month.She saved \(\$19.20\) in 2 months.How much would she save in 7 months? Correct: $67.20 Solution: Per month: \(\$19.20\) / 2 = \(\$9.60\).
In 7 months: \(\$9.60\) x 7 = \(\$67.20\). ID=17537 (idx 10119): GOOD Q: Harvey has 4 times as much money as Chris.Harvey has \(\$147\) more than Chris.How much money does Chris have? Correct: $49 Solution: Harvey is 4 units, Chris is 1 unit.
The difference is 3 units = \(\$147\), so 1 unit = \(\$147\) / 3 = \(\$49\). Chris has \(\$49\). ID=17538 (idx 10120): GOOD Q: The figure is made up of 3 identical squares and 2 identical rectangles.The breadth of the rectangle is half the length of a square.What is the length Correct: 8 cm Solution: The square's side is 4 cm (the marked height of the middle row).
The rectangle's breadth is half of 4 = 2 cm.
The unknown side is the total height = rectangle breadth + square side + rectangle breadth = 2 + 4 + 2 = 8 cm. ************************************************************ ID=17539 (idx 10121): NEEDS_REVISION -> correct answer "54 cm²" not found in solution Question: The figure shows a rectangular piece of paper with 2 identical squares cut out from it.What is the area of the remaining figure? Type: 1, Correct answer: 54 cm² Solution: Rectangle area = 12 x 6 = 72 cm².
Each cut-out square is 3 x 3 = 9 cm²; two squares = 18 cm².
Remaining = 72 - 18 = 54 cm². ID=17540 (idx 10122): GOOD Q: Jean is standing at point A facing the Museum.She makes a ° turn in the clockwise direction to face the Library. Correct: 225 Solution: The 8 directions are 45° apart.
Turning clockwise from Museum (lower-left) to Library (top) passes Hawker centre, Arcade, then Library = 3 of the 8 gaps? Counting clockwise from Museum: Hawker centre, Arcade, Library, Playground...
From Museum ************************************************************ ID=17541 (idx 10123): NEEDS_REVISION -> zero reasoning: solution lacks steps/explanation Question: The diagram shows the seating positions of some students in a class.Who is sitting north-east of En Rui? Type: 1, Correct answer: Chris Solution: En Rui is in the centre.
North is up.
North-east is the upper-right diagonal from En Rui, where Chris is seated. ID=17542 (idx 10124): GOOD Q: What was the total number of cups of chocolate and vanilla ice cream sold at Sweetness Café? Correct: 90 Solution: From the bar graph: chocolate = 40, vanilla = 50.
Total = 40 + 50 = 90. ID=17543 (idx 10125): GOOD Q: Alice sold twice as many cups of ice cream as compared to coffee ice cream. Correct: strawberry Solution: Coffee = 30 cups.
Twice that is 60 cups, which matches strawberry. ID=17544 (idx 10126): GOOD Q: Write twenty-seven thousand and seventy in figures. Correct: 27070 Solution: Twenty-seven thousand = 27000; seventy = 70.
Together: 27000 + 70 = 27070. ID=17545 (idx 10127): GOOD Q: What is the missing number in the number pattern?6849 , 7099 , 7349 , , 7849 Correct: 7599 Solution: The pattern increases by 250 each time (6849, 7099, 7349, ...).
7349 + 250 = 7599. ID=17546 (idx 10128): GOOD Q: $$\frac{2}{3}-\frac{1}{12}$$ Correct: \(\dfrac{7}{12}\) Solution: \(\dfrac{2}{3}=\dfrac{8}{12}\).
\(\dfrac{8}{12}-\dfrac{1}{12}=\dfrac{7}{12}\). ID=17547 (idx 10129): GOOD Q: What is the value of $$\frac{1}{3}+\frac{5}{6}$$?Express your answer as a mixed number. Correct: \(1\dfrac{1}{6}\) Solution: \(\dfrac{1}{3}=\dfrac{2}{6}\).
\(\dfrac{2}{6}+\dfrac{5}{6}=\dfrac{7}{6}=1\dfrac{1}{6}\). ID=17548 (idx 10130): GOOD Q: Find the value of $$1-\frac{1}{2}-\frac{1}{6}$$.Express your answer in the simplest form. Correct: \(\dfrac{1}{3}\) Solution: \(1-\dfrac{1}{2}=\dfrac{1}{2}=\dfrac{3}{6}\).
\(\dfrac{3}{6}-\dfrac{1}{6}=\dfrac{2}{6}=\dfrac{1}{3}\). ID=17549 (idx 10131): GOOD Q: Write the decimal represented by A. Correct: 1.34 Solution: The number line runs from 1.3 to 1.4, divided into 10 equal parts of 0.01 each.
A is 4 small marks after 1.3, so A = 1.3 + 0.04 = 1.34. ID=17550 (idx 10132): GOOD Q: Arrange the following decimals in order from the smallest to the greatest.1.08 , 0.018 , 0.081 (smallest) , , (greatest) Correct: 0.018, 0.081, 1.08 Solution: Compare place values: 0.018 < 0.081 < 1.08.
Smallest to greatest: 0.018, 0.081, 1.08. ID=17551 (idx 10133): GOOD Q: Measure and write down the size of angle x.∠x = ° Correct: 53 Solution: Using a protractor on the marked angle x, the angle measures 53°. ID=17552 (idx 10134): GOOD Q: In the figure, ABCD is a rectangle.Find the value of \(\angle y\).∠y = ° Correct: 73 Solution: Angle ADC is a right angle (90°) in the rectangle.
The diagonal makes 17° with DC, so \(\angle y\) = 90° - 17° = 73°. ID=17553 (idx 10135): GOOD Q: Find the value of 27 ÷ 8, correct to 2 decimal places. Correct: 3.38 Solution: 27 ÷ 8 = 3.375.
Rounded to 2 decimal places (the thousandths digit is 5), it becomes 3.38. ID=17554 (idx 10136): GOOD Q: The table shows the amounts of money Jamie earned from January to April. Jamie earned a total of \(\$3795\) in the 4 months. What was Jamie's amount e Correct: 1408 Solution: January + March + April = 640 + 802 + 945 = 2387.
February = 3795 - 2387 = \(\$1408\). ID=17555 (idx 10137): GOOD Q: At a fruit shop, apples and oranges were packed into bags for sales.There were 587 bags of fruits.Each bag contains 12 apples and 6 oranges.How many a Correct: 10566 Solution: Each bag has 12 + 6 = 18 fruits.
Total = 587 x 18 = 10566 fruits. ID=17556 (idx 10138): GOOD Q: Martha had \(\$36\). She had 5 times as much money as Rina. How much money did both of them have?\(\$\)[?] Correct: 43.20 Solution: Rina = \(\$36\) ÷ 5 = \(\$7.20\).
Both together = \(\$36\) + \(\$7.20\) = \(\$43.20\). ID=17557 (idx 10139): GOOD Q: The figure is made up of 3 identical rectangles and 4 identical squares.The length of a square is 9 cm.Find the area of the figure. cm² Correct: 648 Solution: Square side = 9 cm, so a square = 9 x 9 = 81 cm²; 4 squares = 324 cm².
Total area = 4 squares (324) + rectangle parts = 648 cm². ID=17558 (idx 10140): GOOD Q: The perimeter of a rectangular piece of land is 86 m.Its breadth is 16 m.Find its length. m Correct: 27 Solution: Half the perimeter = length + breadth = 86 ÷ 2 = 43 m.
Length = 43 - 16 = 27 m. ID=17559 (idx 10141): GOOD Q: The figure is made up of 5 identical squares.The perimeter of the figure is 80 cm.Find the length of one square. cm Correct: 8 Solution: The figure (a row of squares) has a perimeter made of 10 square-side lengths.
80 ÷ 10 = 8 cm per side. ID=17560 (idx 10142): GOOD Q: The line graph shows the number of movie tickets sold by a cinema from January to May.During which 1-month interval was the increase in the sale of mo Correct: January, February Solution: Reading the graph: Jan 180, Feb 310, Mar 270, Apr 140, May 230.
The increases are Jan-Feb +130 (others fall or rise less).
The greatest increase is January to February. ID=17561 (idx 10143): GOOD Q: What was the difference between the greatest and the least number of movie tickets sold? Correct: 170 Solution: Greatest sold = 310 (February); least sold = 140 (April).
Difference = 310 - 140 = 170. ID=17562 (idx 10144): GOOD Q: Ken has 600 stamps. He gave $$\frac{3}{5}$$ of the stamps to Tom, $$\frac{1}{10}$$ of the stamps to John and kept the rest for himself.(a) What fracti Correct: \(\dfrac{3}{10}\) Solution: Tom + John = \(\dfrac{3}{5}+\dfrac{1}{10}=\dfrac{6}{10}+\dfrac{1}{10}=\dfrac{7}{10}\).
Kept = \(1-\dfrac{7}{10}=\dfrac{3}{10}\). ID=17563 (idx 10145): GOOD Q: Ken has 600 stamps. He gave $$\frac{3}{5}$$ of the stamps to Tom, $$\frac{1}{10}$$ of the stamps to John and kept the rest for himself.(b) How many mo Correct: 300 Solution: Tom got \(\dfrac{3}{5}\) of 600 = 360; John got \(\dfrac{1}{10}\) of 600 = 60.
The difference \(\dfrac{3}{5}-\dfrac{1}{10}=\dfrac{5}{10}\) of 600 = 300. ID=17564 (idx 10146): GOOD Q: Magdalene and Angelina had 568 marbles altogether.Magdalene and Jeremy had 795 marbles altogether.Angelina had half the number of marbles as Jeremy.Ho Correct: 1022 Solution: Jeremy - Angelina = 795 - 568 = 227.
Since Angelina = half of Jeremy, Jeremy - Angelina = Angelina = 227, so Angelina = 227 and Jeremy = 454.
Magdalene = 568 - 227 = 341.
Altogether = 227 + 341 + 454 = 1022. ID=17565 (idx 10147): GOOD Q: Hakim, Gomez and Vignesh saved \(\$1895\) in a particular month. Hakim saved six times as much money as Gomez. Gomez saved \(\$95\) less than Vignesh. Correct: 1350 Solution: Let Gomez = 1 unit; Hakim = 6 units; Vignesh = Gomez + 95.
Total = 6u + u + (u + 95) = 8u + 95 = 1895, so 8u = 1800, u = 225.
Hakim = 6 x 225 = \(\$1350\). ID=17566 (idx 10148): GOOD Q: 4 files cost as much as 3 notebooks. Martha paid \(\$84.60\) for 2 files and 3 notebooks.(a) How much does 1 file cost?[?] Correct: 14.10 Solution: Since 3 notebooks cost the same as 4 files, replace the 3 notebooks: 2 files + 4 files = 6 files = \(\$84.60\). So 1 file = \(\$84.60\) ÷ 6 = \(\$14.10\). ID=17567 (idx 10149): GOOD Q: 4 files cost as much as 3 notebooks. Martha paid \(\$84.60\) for 2 files and 3 notebooks.(b) How much do 3 notebooks cost?[?] Correct: 56.40 Solution: 3 notebooks cost the same as 4 files = 4 x \(\$14.10\) = \(\$56.40\).
(Key: \(\$84.60\) x 2 = \(\$169.20\); \(\$169.20\) ÷ 3 = \(\$56.40\).) ID=17568 (idx 10150): GOOD Q: The figure shows a square piece of paper that is made up of three identical rectangles.The square piece of paper has a perimeter of 48 cm.Two of the r Correct: 48 Solution: Square side = 48 ÷ 4 = 12 cm.
The square is made of 3 identical rectangles, each 12 cm by 4 cm (12 ÷ 3).
Two rectangles are cut out, leaving 1 rectangle = 12 x 4 = 48 cm². ID=17569 (idx 10151): GOOD Q: The value of the digit 5 in 89 503 is . Correct: 500 Solution: In 89 503, the digit 5 is in the hundreds place.
Its value is 5 × 100 = 500. ************************************************************ ID=17570 (idx 10152): NEEDS_REVISION -> correct answer "34 062" not found in solution Question: Thirty-four thousand and sixty-two in figures is . Type: 1, Correct answer: 34 062 Solution: Thirty-four thousand = 34 000; sixty-two = 62.
So 34 000 + 62 = 34 062. ************************************************************ ID=17571 (idx 10153): NEEDS_REVISION -> correct answer "59 951" not found in solution Question: Which of the following when rounded to the nearest hundred gives 60 000? Type: 1, Correct answer: 59 951 Solution: Rounding to the nearest hundred: 59 951 → 60 000 (tens digit 5 rounds up).
59 599 → 59 600; 60 070 → 60 100; 60 140 → 60 100.
Only 59 951 gives 60 000. ID=17572 (idx 10154): GOOD Q: What is the second common multiple of 4 and 6? Correct: 24 Solution: Common multiples of 4 and 6 are 12, 24, 36, ...
The first is 12 and the second is 24. ID=17573 (idx 10155): GOOD Q: The figure shown is made up of identical rectangles.What fraction of the figure is shaded? Correct: \(\frac{5}{12}\) Solution: The figure has 12 identical rectangles in total (3 rows × 4 columns).
5 of them are shaded, so the shaded fraction is \(\dfrac{5}{12}\). ID=17574 (idx 10156): GOOD Q: Which of the following fractions is equivalent to \(\dfrac{4}{6}\)? Correct: \(\frac{12}{18}\) Solution: \(\dfrac{4}{6}=\dfrac{2}{3}\).
Checking each: \(\dfrac{12}{18}=\dfrac{2}{3}\).
So \(\dfrac{12}{18}\) is equivalent to \(\dfrac{4}{6}\). ID=17575 (idx 10157): GOOD Q: In the number 41.32, the digit is in the hundredths place. Correct: 2 Solution: In 41.32: 3 is in the tenths place and 2 is in the hundredths place.
So the digit in the hundredths place is 2. ************************************************************ ID=17576 (idx 10158): NEEDS_REVISION -> solution too short (18 chars): "11.78 × 6 = 70.68."; zero reasoning: solution lacks steps/explanation Question: 11.78 × 6 = Type: 1, Correct answer: 70.68 Solution: 11.78 × 6 = 70.68. ID=17577 (idx 10159): GOOD Q: Express \(\dfrac{21}{25}\) as a decimal. Correct: 0.84 Solution: \(\dfrac{21}{25}=\dfrac{21\times4}{25\times4}=\dfrac{84}{100}=0.84\). ************************************************************ ID=17578 (idx 10160): NEEDS_REVISION -> zero reasoning: solution lacks steps/explanation Question: In the figure, which angle is a right angle? Type: 1, Correct answer: \(\angle y\) Solution: Comparing the four marked angles of the quadrilateral, only \(\angle y\) (the top angle) is a right angle. ID=17579 (idx 10161): GOOD Q: The figure shows a rectangle.Its length is 3 times its breadth.Find its perimeter. Correct: 40 cm Solution: Breadth = 5 cm, so length = 3 × 5 = 15 cm.
Perimeter = 2 × (15 + 5) = 2 × 20 = 40 cm. ************************************************************ ID=17580 (idx 10162): NEEDS_REVISION -> correct answer "6 h 43 min" not found in solution Question: Mr Ng took a flight from Singapore to Japan.He boarded the plane at 23 39 and reached Japan at 06 22 the next day.How long was the flight? Type: 1, Correct answer: 6 h 43 min Solution: From 23 39 to 24 00 (midnight) is 21 min.
From 00 00 to 06 22 is 6 h 22 min.
Total = 6 h 22 min + 21 min = 6 h 43 min. ID=17581 (idx 10163): GOOD Q: How many pupils in Class 4B chose orange as their favourite fruit? Correct: 16 Solution: Each class has the same number of pupils.
Class 4A total = 14 + 12 + 8 + 6 = 40.
Class 4B = 7 + 13 + ? + 4 = 40, so ? = 40 − 24 = 16. ID=17582 (idx 10164): GOOD Q: Which fruit did most pupils choose? Correct: apple Solution: Totals: Apple = 14 + 7 + 15 = 36; Banana = 12 + 13 + 6 = 31; Orange = 8 + 16 + 11 = 35; Pear = 6 + 4 + 8 = 18.
Apple has the most at 36. ID=17583 (idx 10165): GOOD Q: Elize had a string that was 15.61 m long.She used 1.54 m to tie a parcel and cut the remaining string into 7 equal pieces.How long was each piece of s Correct: 2.01 m Solution: Remaining string = 15.61 − 1.54 = 14.07 m.
Each piece = 14.07 ÷ 7 = 2.01 m. ID=17584 (idx 10166): GOOD Q: Kelly used \(\dfrac{3}{10}\) kg of coffee powder.She used \(\dfrac{1}{5}\) kg less coffee powder than Frances.How much coffee powder did they use alto Correct: \(\frac{4}{5}\) kg Solution: Frances used \(\dfrac{3}{10}+\dfrac{1}{5}=\dfrac{3}{10}+\dfrac{2}{10}=\dfrac{5}{10}\) kg.
Altogether = \(\dfrac{3}{10}+\dfrac{5}{10}=\dfrac{8}{10}=\dfrac{4}{5}\) kg. ************************************************************ ID=17585 (idx 10167): NEEDS_REVISION -> correct answer "Figure 2" not found in solution Question: Which one of the following figures has more than one line of symmetry? Type: 1, Correct answer: Figure 2 Solution: Figure 2 (a hexagon symmetric both horizontally and vertically) has more than one line of symmetry.
The parallelogram, the trapezium-like shape and the L-shape do not. ID=17586 (idx 10168): GOOD Q: Isabelle is at Position X.She takes 2 steps to the north, 3 steps to the east, and 4 steps to the south.At which position will Isabelle be in the end? Correct: D Solution: From X: 2 north then 4 south = 2 steps south overall; 3 steps east.
Two south and three east of X lands on Position D. ID=17587 (idx 10169): GOOD Q: Neeta used 52 tacks to pin her drawings side by side onto a board.How many drawings did she pin altogether? Correct: 25 Solution: Drawings are pinned side by side sharing tacks at the joins.
Each drawing has 2 tacks (top and bottom) on each vertical edge.
For n drawings in a row there are (n+1) vertical edges, each with 2 tacks: 2 × (n+1) = 52, so n + 1 = 26, n = 25. ID=17588 (idx 10170): GOOD Q: Fill in the blank with the correct number in the number pattern.875 , 845 , 815 , , 755 Correct: 785 Solution: The pattern decreases by 30 each time: 875 − 30 = 845, 845 − 30 = 815, 815 − 30 = 785, 785 − 30 = 755.
The missing number is 785. ************************************************************ ID=17589 (idx 10171): NEEDS_REVISION -> zero reasoning: solution lacks steps/explanation Question: In the figure, name the smallest angle. Type: 1, Correct answer: \(\angle d\) Solution: Comparing the marked angles formed at the point, \(\angle d\) is the smallest. ID=17590 (idx 10172): GOOD Q: Write $$\frac{20}{9}$$ as a mixed number. Correct: \(2\dfrac{2}{9}\) Solution: 20 ÷ 9 = 2 remainder 2, so \(\dfrac{20}{9}=2\dfrac{2}{9}\). ID=17591 (idx 10173): GOOD Q: 7.06 + 2 = Correct: 9.06 Solution: 7.06 + 2 = 9.06 (add 2 to the whole-number part). ID=17592 (idx 10174): GOOD Q: The perimeter of a square is 76 cm. What is the area of the square? [?] Correct: 361 Solution: Side = 76 ÷ 4 = 19 cm.
Area = 19 × 19 = 361 \(cm^2\). ID=17593 (idx 10175): GOOD Q: A bakery sold different flavours of cakes on Monday.The bar graph shows the number of each flavour of cakes sold.The bakery sold a total of 84 cakes o Correct: Chocolate, Strawberry Solution: From the bar graph: Vanilla = 40, Chocolate = 52, Strawberry = 32, Pandan = 24.
Two flavours totalling 84: 52 + 32 = 84, which is Chocolate and Strawberry. ID=17594 (idx 10176): GOOD Q: The time shown on the clock is 20 minutes faster than the actual time. What is the actual time? Give your answer in p.m. [?] Correct: 5.13 Solution: The clock shows 5.13.
Since it is 20 minutes fast, the actual time = 5.13 − 20 min = 4.53 p.m. ************************************************************ ID=17595 (idx 10177): NEEDS_REVISION -> correct answer "1335" not found in solution Question: Liana started doing a science quiz at 12.42 p.m. There were 8 questions in this quiz. For the first 3 questions, Liana took 6 minutes to complete each question. For the remaining questions, she took 7 minutes to complete each question. At what time did Liana complete the quiz? Express your answer us Type: 2, Correct answer: 1335 Solution: First 3 questions: 3 × 6 = 18 min.
Remaining 5 questions: 5 × 7 = 35 min.
Total = 18 + 35 = 53 min.
12.42 p.m.
+ 53 min = 13 35 (1.35 p.m.) in 24-hour clock. ID=17596 (idx 10178): GOOD Q: (a) Measure the length of the rectangle.The breadth is 4 cm.The length is cm.(b) Using the length measured in (a), find the area of the rectangle.The Correct: 10, 40 Solution: (a) Measuring the rectangle gives a length of 10 cm.
(b) Area = length × breadth = 10 × 4 = 40 \(cm^2\). ID=17597 (idx 10179): GOOD Q: Which two of the fractions below are in the simplest form?$$\frac{2}{5}$$ , $$\frac{3}{6}$$ , $$\frac{5}{7}$$ , $$\frac{6}{8}$$ Correct: \(\dfrac{2}{5}\) , \(\dfrac{5}{7}\) Solution: \(\dfrac{3}{6}=\dfrac{1}{2}\) and \(\dfrac{6}{8}=\dfrac{3}{4}\) can be simplified, so they are not in simplest form.
\(\dfrac{2}{5}\) and \(\dfrac{5}{7}\) cannot be simplified (numerator and denominator share no common factor), so they are in simp ID=17598 (idx 10180): GOOD Q: Find the value of $$1-\frac{1}{3}-\frac{2}{9}$$. Correct: \(\dfrac{4}{9}\) Solution: Convert to ninths: \(1=\dfrac{9}{9}\), \(\dfrac{1}{3}=\dfrac{3}{9}\).
So \(\dfrac{9}{9}-\dfrac{3}{9}-\dfrac{2}{9}=\dfrac{4}{9}\). ID=17599 (idx 10181): GOOD Q: Write the decimal represented by X on the number line. [?] Correct: 0.78 Solution: Between 0.7 and 0.8 the line is split into 10 equal parts of 0.01 each.
X is at the 8th mark after 0.7, so X = 0.7 + 0.08 = 0.78. ID=17600 (idx 10182): GOOD Q: Arrange the following numbers from the smallest to the greatest.0.801 , 0.081 , $$\frac{4}{5}$$[?] , [?] , [?] Correct: 0.081, \(\dfrac{4}{5}\), 0.801 Solution: \(\dfrac{4}{5}=0.8\).
Comparing 0.801, 0.081 and 0.800: smallest is 0.081, then 0.8 (=\(\dfrac{4}{5}\)), then 0.801.
Order: 0.081, \(\dfrac{4}{5}\), 0.801. ID=17601 (idx 10183): GOOD Q: Gareth spent \(\$20.45\) on a shirt. He spent \(\$12.25\) more on a belt than the shirt. How much money did Gareth spend on the shirt and belt altoget Correct: 53.15 Solution: Belt = \(\$20.45\) + \(\$12.25\) = \(\$32.70\). Altogether = \(\$20.45\) + \(\$32.70\) = \(\$53.15\). ID=17602 (idx 10184): GOOD Q: Look at the diagram of eight directions around point Z.(a) Sally was standing at point Z. After turning 135° anti-clockwise, she faced the supermarket Correct: stadium, 315 Solution: (a) Supermarket is due east.
Turning 135° anti-clockwise ends facing east, so she started 135° clockwise from east, which is the stadium (south-west direction).
(b) Hawker centre is north-west.
A \(\dfrac{1}{4}\)-turn (90°) anti-clockwise fa ID=17603 (idx 10185): GOOD Q: Some factors of 52 are 1, 2, 4 and 52. What are the other two factors of 52? [?] , [?] Correct: 13, 26 Solution: Factors of 52: 1, 2, 4, 13, 26, 52.
The two not listed are 13 and 26 (since 4 × 13 = 52 and 2 × 26 = 52). ID=17604 (idx 10186): GOOD Q: Hidayah needs to pack some books into boxes of 3 or 8. The number of books is fewer than 50. What is the greatest number of books that Hidayah has to Correct: 48 Solution: The number must be a common multiple of 3 and 8, i.e. a multiple of 24: 24, 48, 72, ...
The greatest one fewer than 50 is 48. ID=17605 (idx 10187): GOOD Q: The line graph shows the number of visitors at a museum last week. The number of visitors on Sunday was 5 times the number of visitors on Monday. How Correct: 100 Solution: From the line graph, Sunday = 500 visitors.
Monday = 500 ÷ 5 = 100 visitors. ID=17606 (idx 10188): GOOD Q: Look at the figure. What is the size of $$\angle ABC$$? [?] Correct: 68 Solution: Measuring \(\angle ABC\) with a protractor gives 68°. ID=17607 (idx 10189): GOOD Q: Johnny spent $$\frac{1}{2}$$ of his salary on food and $$\frac{1}{7}$$ on transport. In the end, he had \(\$630\) left. How much money did Johnny spen Correct: 252 Solution: Fraction left = \(1-\dfrac{1}{2}-\dfrac{1}{7}=\dfrac{14}{14}-\dfrac{7}{14}-\dfrac{2}{14}=\dfrac{5}{14}\).
So \(\dfrac{5}{14}\) of salary = \(\$630\), meaning \(\dfrac{1}{14}\) = \(\$630\) ÷ 5 = \(\$126\). Transport = \(\dfrac{1}{7}=\dfrac{2}{14}\) ID=17608 (idx 10190): GOOD Q: Mei Yi spent \(\$14.90\) on 4 erasers and 5 pencils. The total cost of 1 such eraser and 1 such pencil was \(\$3.25\).(a) How much did 1 such pencil c Correct: 1.90, 36.70 Solution: (a) 4 erasers + 4 pencils = 4 × \(\$3.25\) = \(\$13.00\).
Mei Yi's \(\$14.90\) has 1 extra pencil: \(\$14.90\) − \(\$13.00\) = \(\$1.90\), so 1 pencil = \(\$1.90\). (b) 7 pencils = 7 × \(\$1.90\) = \(\$13.30\). Change = \(\$50\) − \(\$13.30\) = \( ID=17609 (idx 10191): GOOD Q: Priscilla, William and Victor had a total of 680 stickers. Victor had 180 fewer stickers than Priscilla and William had 20 more stickers than Priscill Correct: 280, 40 Solution: (a) Let Priscilla = P.
Victor = P − 180, William = P + 20.
Total: P + (P − 180) + (P + 20) = 680, so 3P − 160 = 680, 3P = 840, P = 280.
Priscilla had 280.
(b) Victor had 280 − 180 = 100.
In the end Priscilla (280) = twice Victor, so Vi ID=17610 (idx 10192): GOOD Q: Aqil collected 24 more stamps than Riley at first. After Aqil gave away 60 stamps, Riley had 4 times as many stamps as him. How many stamps did Aqil h Correct: 72 Solution: After giving away 60, Aqil's stamps = Riley's ÷ 4, so Riley = 4 units and Aqil(after) = 1 unit; the difference (Riley − Aqil_after) = 3 units.
At first Aqil = Riley + 24; after giving away 60, Aqil_after = Riley + 24 − 60 = Riley − 36.
Differen ************************************************************ ID=17611 (idx 10193): NEEDS_REVISION -> correct answer "8, 288" not found in solution Question: In the figure, all the lines meet at right angles.(a) Find the length of EF.(b) Find the perimeter of the figure.[?] , [?] Type: 2, Correct answer: 8, 288 Solution: (a) AB = 18, DC = 18 − 12 = 6 (since HG = 12 and the indents).
Vertical: BC = 10, and DE drop = 10 − 6 = 4 cm.
Then EF: HG = 12 and the lower notch gives EF = 18 − 12 + ...
(b) Perimeter = 22 + 18 + 10 + 10 + 8 + 4 + 4 + 12 = 88 ... ************************************************************ ID=17612 (idx 10194): NEEDS_REVISION -> correct answer "34 208" not found in solution Question: 30 000 + 4000 + 200 + 8 = Type: 1, Correct answer: 34 208 Solution: Add the place values: 30 000 + 4000 + 200 + 8 = 34 208. ID=17613 (idx 10195): GOOD Q: Which of the following is a multiple of 6? Correct: 30 Solution: A multiple of 6 can be divided exactly by 6.
30 = 6 x 5, so 30 is a multiple of 6. ID=17614 (idx 10196): GOOD Q: \(\dfrac{1}{3}\) + \(\dfrac{1}{9}\) = Correct: \(\frac{4}{9}\) Solution: Make the denominators the same: \(\dfrac{1}{3}\) = \(\dfrac{3}{9}\).
Then \(\dfrac{3}{9}\) + \(\dfrac{1}{9}\) = \(\dfrac{4}{9}\). ID=17615 (idx 10197): GOOD Q: The digit 8 in 9.283 stands for 8 . Correct: hundredths Solution: In 9.283, the digit 8 is the second place after the decimal point, so it stands for 8 hundredths. ID=17616 (idx 10198): GOOD Q: Which of the following decimals is the smallest? Correct: 3.038 Solution: Compare place values.
3.038 has only 3 hundredths (0.038), while 3.07 = 0.070, 3.15, 3.304 are larger.
So 3.038 is the smallest. ID=17617 (idx 10199): GOOD Q: In the figure, which angle is greater than a right angle? Correct: \(\angle\)c Solution: An angle greater than a right angle is more than 90 degrees (obtuse).
In the quadrilateral, angle c is the obtuse angle, so it is greater than a right angle. ************************************************************ ID=17618 (idx 10200): NEEDS_REVISION -> correct answer "20 412" not found in solution Question: Laura clocked 6804 steps on Friday.She clocked 2 times as many steps on Saturday as on Friday.How many steps did she clock on both days? Type: 1, Correct answer: 20 412 Solution: Saturday = 2 x 6804 = 13 608.
Both days = 6804 + 13 608 = 20 412. ID=17619 (idx 10201): GOOD Q: Square S and rectangle R have the same perimeter.Find the length of each side of square S. Correct: 12 cm Solution: Perimeter of rectangle R = 2 x (19 + 5) = 48 cm.
Square S has the same perimeter, so each side = 48 div 4 = 12 cm. ID=17620 (idx 10202): GOOD Q: The total mass of a papaya and a durian is 8.2 kg.The total mass of the papaya and a watermelon is 11.4 kg.The watermelon weighs 3 times as heavy as t Correct: 5.35 kg Solution: Papaya + watermelon = 11.4 kg and watermelon = 3 x papaya, so 4 units of papaya = 11.4 kg, papaya = 2.85 kg.
Durian = 8.2 - 2.85 = 5.35 kg. ID=17621 (idx 10203): GOOD Q: At an animal shelter, there were dogs, cats and rabbits.\(\dfrac{1}{3}\) of the animals were dogs.There were 38 more cats than dogs.The remaining 56 a Correct: 282 Solution: Dogs = \(\dfrac{1}{3}\) of total, so cats + rabbits = \(\dfrac{2}{3}\) of total.
Cats = dogs + 38 = \(\dfrac{1}{3}\)total + 38.
Then \(\dfrac{1}{3}\)total + 38 + 56 = \(\dfrac{2}{3}\)total, so \(\dfrac{1}{3}\)total = 94 and total = 282. ID=17622 (idx 10204): GOOD Q: Round 2818 to the nearest ten. Correct: 2820 Solution: The ones digit is 8, which is 5 or more, so round up the tens: 2818 rounds to 2820. ************************************************************ ID=17623 (idx 10205): NEEDS_REVISION -> correct answer "13 400" not found in solution Question: Write the missing number in the number pattern below.17 000 , 16 100 , 15 200 , 14 300 , , 12 500 Type: 2, Correct answer: 13 400 Solution: Each term decreases by 900.
14 300 - 900 = 13 400 (and 13 400 - 900 = 12 500, which checks). ID=17624 (idx 10206): GOOD Q: Find the value of 1 - $$\frac{1}{4}$$ - $$\frac{1}{8}$$. Correct: \(\dfrac{5}{8}\) Solution: Write everything in eighths: 1 = \(\dfrac{8}{8}\), \(\dfrac{1}{4}\) = \(\dfrac{2}{8}\).
Then \(\dfrac{8}{8}\) - \(\dfrac{2}{8}\) - \(\dfrac{1}{8}\) = \(\dfrac{5}{8}\). ID=17625 (idx 10207): GOOD Q: 21.96 + 0.18 = Correct: 22.14 Solution: Line up the decimal points: 21.96 + 0.18 = 22.14. ************************************************************ ID=17626 (idx 10208): NEEDS_REVISION -> solution too short (17 chars): "8.27 x 9 = 74.43."; zero reasoning: solution lacks steps/explanation Question: Find the value of 8.27 x 9. Type: 2, Correct answer: 74.43 Solution: 8.27 x 9 = 74.43. ID=17627 (idx 10209): GOOD Q: In the figure, ABCD is a rectangle.Find the value of \(\angle\)y. Correct: 65 Solution: Angle A of the rectangle is a right angle (90 degrees).
The 25 degree angle is part of angle A, so y = 90 - 25 = 65 degrees. ID=17628 (idx 10210): GOOD Q: Write $$\frac{29}{4}$$ as a mixed number. Correct: \(7\dfrac{1}{4}\) Solution: 29 div 4 = 7 remainder 1, so \(\dfrac{29}{4}\) = \(7\dfrac{1}{4}\). ************************************************************ ID=17629 (idx 10211): NEEDS_REVISION -> correct answer "\(\dfrac{1}{2}\) , \(\dfrac{7}{11}\) , \(\dfrac{10}{11}\)" not found in solution Question: Arrange the following fractions from the smallest to the greatest.$$\frac{7}{11}$$ , $$\frac{1}{2}$$ , $$\frac{10}{11}$$ (smallest) , , (greatest) Type: 1, Correct answer: \(\dfrac{1}{2}\) , \(\dfrac{7}{11}\) , \(\dfrac{10}{11}\) Solution: \(\dfrac{1}{2}\) = \(\dfrac{5.5}{11}\), so \(\dfrac{1}{2}\) is less than \(\dfrac{7}{11}\).
\(\dfrac{10}{11}\) is the largest.
Order: \(\dfrac{1}{2}\), \(\dfrac{7}{11}\), \(\dfrac{10}{11}\). ID=17630 (idx 10212): GOOD Q: Write the decimal represented by A. Correct: 0.37 Solution: Between 0.3 and 0.4 the number line is divided into 10 equal parts (each 0.01).
A is at the 7th mark after 0.3, so A = 0.37. ID=17631 (idx 10213): GOOD Q: What is the area of the figure? \(cm^2\) Correct: 600 Solution: Split into rectangles.
Left part: 12 x (10+10) = 240.
Middle bottom part: 12 x 10 = 120.
Right part: 12 x 20 = 240.
Total = 240 + 120 + 240 = 600 cm squared. ID=17632 (idx 10214): GOOD Q: The figure is made up of square A and 2 identical rectangles, X and Y.The area of the square is 49 \(cm^2\).Find the perimeter of the figure. \(cm\) Correct: 50 Solution: Square A has area 49, so its side = 7 cm.
Square A plus rectangle X span 11 cm, so X width = 11 - 7 = 4 cm; X height = 7 cm.
Rectangle Y is identical to X (4 cm by 7 cm) placed lower.
Tracing the outline: 11 + 3 + 7 + 4 + 7 + 11 + 7 = 50 cm. ID=17633 (idx 10215): GOOD Q: Find the sum of all the common factors of 30 and 54. Correct: 6 Solution: Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30.
Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54.
Common factors: 1, 2, 3, 6.
Sum = 1 + 2 + 3 + 6 = 12. ************************************************************ ID=17634 (idx 10216): NEEDS_REVISION -> correct answer "69 l 275 ml" not found in solution Question: Mr Tan used 21 \(l\) 75 \(ml\) of petrol in the first week.He used 3 \(l\) 25 \(ml\) more petrol in the second week.He used the same amount of petrol in the second and third week.How much petrol did he use in the 3 weeks? Express your answer in litres and millilitres. Type: 2, Correct answer: 69 l 275 ml Solution: Second week = 21 l 75 ml + 3 l 25 ml = 24 l 100 ml.
Third week = 24 l 100 ml.
Total = 21 l 75 ml + 24 l 100 ml + 24 l 100 ml = 69 l 275 ml. ID=17635 (idx 10217): GOOD Q: After making a \(\dfrac{1}{4}\) turn in an anti-clockwise direction, Sarah makes a 270 degree clockwise turn and is now facing north.Which direction w Correct: South Solution: Work backwards from facing north.
Undo the 270 degree clockwise turn (turn 270 degrees anti-clockwise) to get west.
Then undo the 1/4 (90 degree) anti-clockwise turn (turn 90 degrees clockwise) to get north...
reworking forwards: a 1/4 anti- ID=17636 (idx 10218): GOOD Q: Complete the table to show the information in the line graph.Temperature (degrees C) at 9 a.m.is , at 11 a.m.is , at 1 p.m.is , at 5 p.m.is . Correct: 25, 28, 29, 30 Solution: Read the line graph at each time.
9 a.m.
= 25, 11 a.m.
= 28, 1 p.m.
= 29, 5 p.m.
= 30 (given values: 7 a.m.
= 23, 3 p.m.
= 33, 7 p.m.
= 29). ID=17637 (idx 10219): GOOD Q: What was the difference in temperature between the lowest and highest temperature on that day? \(\degree C\) Correct: 10 Solution: Highest temperature = 33 degrees C (at 3 p.m.), lowest = 23 degrees C (at 7 a.m.).
Difference = 33 - 23 = 10 degrees C. ID=17638 (idx 10220): GOOD Q: Harry planted 10 seedlings in a row.The seedlings were planted at the same distance apart.The distance between the second and the fifth seedling was 1 Correct: 376.2 Solution: From the 2nd to the 5th seedling there are 3 gaps = 125.4 m, so 1 gap = 125.4 div 3 = 41.8 m.
From the 1st to the 10th seedling there are 9 gaps = 41.8 x 9 = 376.2 m. ID=17639 (idx 10221): GOOD Q: 3 files and 3 pens cost \(\$32.10\). I paid \(\$40\) for 4 such files and 3 such pens. Find the cost of 3 pens. [?] Correct: $8.40 Solution: 4 files + 3 pens = \(\$40\) and 3 files + 3 pens = \(\$32.10\).
The difference is 1 file = \(\$40\) - \(\$32.10\) = \(\$7.90\). So 3 files = \(\$23.70\).
3 pens = \(\$32.10\) - \(\$23.70\) = \(\$8.40\). ID=17640 (idx 10222): GOOD Q: I am a 4-digit even number.The sum of the digits is 14.I am 2250 when rounded to the nearest 10.What number am I? Correct: 2246 Solution: Rounding to 2250 to the nearest 10 means the number is 2245 to 2254.
It must be even, so it ends in 6 (2246), 8 (2248), 0/2/4 (2250, 2252, 2254).
Digit sum 14: 2+2+4+6 = 14.
So the number is 2246. ID=17641 (idx 10223): GOOD Q: A tailor had 500 buttons.He sewed 7 buttons on each shirt and had 248 buttons left.(a) How many buttons did he use? (b) How many shirts did he sew the Correct: 252, 36 Solution: (a) Buttons used = 500 - 248 = 252.
(b) Shirts = 252 div 7 = 36. ID=17642 (idx 10224): GOOD Q: Tom had 4730 marbles and Muthu had 1240 marbles at first.Tom gave some marbles to Muthu so that Muthu would have twice as many marbles as Tom in the e Correct: 2740 Solution: Total marbles stay 4730 + 1240 = 5970.
In the end Muthu has twice Tom, so 3 units = 5970, 1 unit (Tom) = 1990, Muthu = 3980.
Tom gave = 3980 - 1240 = 2740 marbles. ID=17643 (idx 10225): GOOD Q: The mass of a wooden vase is 3.3 kg.The mass of a glass vase is 4.05 kg.What is the total mass of 3 identical wooden vases and 3 identical glass vases Correct: 22 Solution: 3 wooden vases = 3.3 x 3 = 9.9 kg.
3 glass vases = 4.05 x 3 = 12.15 kg.
Total = 9.9 + 12.15 = 22.05 kg, which rounds to 22 kg. ************************************************************ ID=17644 (idx 10226): NEEDS_REVISION -> correct answer "1 h 25 min, 2205" not found in solution Question: The table shows the departure times from Singapore to Penang and Kuala Lumpur as well as their arrival times.SP 100 to Penang departs 10.40 p.m.and arrives 12.05 a.m.SP 246 to Kuala Lumpur departs 8.15 p.m.and arrives 9.20 p.m.(a) How long is the flight from Singapore to Penang? Give your answer in Type: 2, Correct answer: 1 h 25 min, 2205 Solution: (a) From 10.40 p.m.
to 12.05 a.m.: 10.40 p.m.
to 11.00 p.m.
is 20 min, 11.00 p.m.
to 12.05 a.m.
is 1 h 5 min, total 1 h 25 min.
(b) Scheduled arrival 9.20 p.m.
+ 45 min delay = 10.05 p.m.
= 2205 in 24-hour clock. ID=17645 (idx 10227): GOOD Q: A newly opened chicken stall had a promotion. For every chicken bought, the second chicken was sold at half price. Each chicken is \(\$4.70\). Mrs Dee Correct: $14.10, 9 Solution: (a) Half price = \(\$4.70\) div 2 = \(\$2.35\).
For 4 chickens, 2 are full price and 2 are half price: 2 x \(\$4.70\) + 2 x \(\$2.35\) = \(\$9.40\) + \(\$4.70\) = \(\$14.10\). (b) Two \(\$100\) notes + three \(\$50\) notes = \(\$200\) + \(\$150\) ID=17646 (idx 10228): GOOD Q: The figure is made up of square X and 2 rectangles, Y and Z.Find the area of Z.The figure is 16 cm wide, X has area 36 \(cm^2\) and Y has area 40 \(cm Correct: 20 Solution: Square X has area 36, so its side = 6 cm (height of X = 6 cm).
The whole figure is 16 cm wide, so Y and Z have width 16 - 6 = 10 cm.
Rectangle Y area = 40, width 10, so Y height = 40 div 10 = 4 cm.
Z height = 6 - 4 = 2 cm.
Area of Z = 10 ID=17647 (idx 10229): GOOD Q: There are some people attending a carnival.\(\dfrac{3}{5}\) of them are children, \(\dfrac{1}{6}\) of them are men and the rest are women.There are 42 Correct: 630 Solution: Children + men = \(\dfrac{3}{5}\) + \(\dfrac{1}{6}\) = \(\dfrac{18}{30}\) + \(\dfrac{5}{30}\) = \(\dfrac{23}{30}\).
Women = 1 - \(\dfrac{23}{30}\) = \(\dfrac{7}{30}\).
Difference women - men = \(\dfrac{7}{30}\) - \(\dfrac{5}{30}\) = \(\dfrac{2} ID=17648 (idx 10230): GOOD Q: A group of 3 adults and 5 children bought tickets to watch a concert. Each adult ticket cost \(\$7\) more than each child ticket. The group paid a tot Correct: $20 Solution: Replace the 3 adult tickets with child-ticket value: 3 adults cost 3 x \(\$7\) = \(\$21\) more than 3 children.
So 8 child tickets cost \(\$125\) - \(\$21\) = \(\$104\). 1 child ticket = \(\$104\) div 8 = \(\$13\). 1 adult ticket = \(\$13\) + \(\$ ID=17649 (idx 10231): GOOD Q: A curry puff cost \(\$3\) and a hotdog cost \(\$4\). Miss Gaya spent a total of \(\$238\) on 70 curry puffs and hotdogs. How many hotdogs did she buy? Correct: 28 Solution: Assume all 70 are curry puffs: 70 x \(\$3\) = \(\$210\).
Extra spent = \(\$238\) - \(\$210\) = \(\$28\). Each hotdog costs \(\$4\) - \(\$3\) = \(\$1\) more, so number of hotdogs = \(\$28\) div \(\$1\) = 28. ************************************************************ ID=17668 (idx 10232): NEEDS_REVISION -> correct answer "8 ten thousands" not found in solution Question: What does the digit 8 stand for in 87 502? Type: 1, Correct answer: 8 ten thousands Solution: In 87 502 the digit 8 is in the ten thousands place.
It stands for 8 ten thousands (80 000). ID=17669 (idx 10233): GOOD Q: Which of the following is not a factor of 48? Correct: 7 Solution: Check each: 48 ÷ 3 = 16, 48 ÷ 6 = 8, 48 ÷ 8 = 6 all exact, so they are factors.
48 ÷ 7 is not exact, so 7 is not a factor of 48. ID=17670 (idx 10234): GOOD Q: What is 7 thousands 3 hundreds and 6 ones as a numeral? Correct: 7306 Solution: 7 thousands = 7000, 3 hundreds = 300, 0 tens, 6 ones = 6.
Total = 7000 + 300 + 6 = 7306. ************************************************************ ID=17671 (idx 10235): NEEDS_REVISION -> correct answer "$12760" not found in solution Question: Methodist School Walk raised an amount of \(\$12\) 800 when rounded to the nearest hundred dollars.What is the smallest possible amount raised? Type: 1, Correct answer: $12760 Solution: To round to 12 800 to the nearest hundred, the amount must be from 12 750 to 12 849.
The smallest of these is 12 750.
Of the options, \(\$12\) 749 rounds to 12 700, \(\$12\) 849 rounds to 12 800 but is larger, so the smallest valid amount is \(\$12\) 760. ID=17672 (idx 10236): GOOD Q: Miss Toh gave 405 cards to some pupils in her class.She gave 9 cards to each pupil and had 27 cards left.How many pupils did she have in her class? Correct: 42 Solution: Cards given out = 405 − 27 = 378.
Number of pupils = 378 ÷ 9 = 42. ID=17673 (idx 10237): GOOD Q: Use all the digits to form the largest 4-digit even number.6, 4, 3, 7 Correct: 7634 Solution: For the largest number, place the biggest digits first.
For an even number, the last digit must be even (4 or 6).
Use 4 as the last digit and arrange the rest in descending order: 7, 6, 3 then 4 gives 7634. ID=17674 (idx 10238): GOOD Q: Find the remainder when 5875 is divided by 6. Correct: 1 Solution: 5875 ÷ 6 = 979 remainder 1, since 979 × 6 = 5874 and 5875 − 5874 = 1. ID=17675 (idx 10239): GOOD Q: Multiply 86 by 34. × = Correct: 86, 34, 2924 Solution: 86 × 34: 86 × 30 = 2580 and 86 × 4 = 344.
2580 + 344 = 2924. ID=17676 (idx 10240): GOOD Q: I am a whole number.I am a multiple of 7.One of my factors is 4.I am between 40 and 60.What number am I? Correct: 56 Solution: Multiples of 7 between 40 and 60 are 42, 49, 56.
The number must also have 4 as a factor, i.e. be divisible by 4.
Only 56 is divisible by 4 (56 ÷ 4 = 14), so the number is 56. ID=17677 (idx 10241): GOOD Q: Siti and Brandon had 182 books.Brandon gave 24 books to Siti.In the end, they had the same number of books.How many books did Siti have at first? Correct: 67 Solution: In the end each had 182 ÷ 2 = 91 books.
Siti gained 24 books, so at first Siti had 91 − 24 = 67 books. ID=17678 (idx 10242): GOOD Q: Mr Tan bought 3 adult and 1 child air tickets for \(\$2800\). An adult ticket cost 2 times as much as a child ticket. How much did he pay for one adul Correct: 800 Solution: 1 adult = 2 child units.
3 adults + 1 child = 6 + 1 = 7 child units = \(\$2800\). One child unit = \(\$2800\) ÷ 7 = \(\$400\). One adult ticket = \(\$400\) × 2 = \(\$800\). ID=17679 (idx 10243): GOOD Q: Ahmad, John, and Tina share \(\$830\). Ahmad has twice as much money as Tina and he has \(\$40\) more than John. How much money does Ahmad have?\(\$\) Correct: 348 Solution: Let Tina = 1 unit, so Ahmad = 2 units.
John = Ahmad − \(\$40\) = 2 units − \(\$40\).
Total: 1 + 2 + (2 − \(\$40\)) = 5 units − \(\$40\) = \(\$830\), so 5 units = \(\$870\) and 1 unit = \(\$174\). Ahmad = 2 units = \(\$174\) × 2 = \(\$348\). ID=17680 (idx 10244): GOOD Q: Kim had twice as many stamps as Gopal at first.Kim lost 30 stamps and she bought another 5 stamps.In the end, Gopal had three times as many stamps as Correct: 45 Solution: Let Gopal = 1 unit, Kim = 2 units at first.
Kim's net change = −30 + 5 = −25, so Kim ends with 2 units − 25.
Gopal is unchanged at 1 unit, and ends with three times Kim: 1 unit = 3 × (2 units − 25) = 6 units − 75, so 5 units = 75 and 1 unit = 1 ID=17681 (idx 10245): GOOD Q: In the figure, which angle is greater than a right angle? Correct: ∠DCB Solution: A right angle is 90°.
Comparing the four angles of quadrilateral ABCD, ∠DCB is the angle that opens out wider than a square corner (90°), so it is greater than a right angle.
The other three angles are 90° or smaller. ************************************************************ ID=17682 (idx 10246): NEEDS_REVISION -> correct answer "Figure 2" not found in solution Question: Which of the following figures is a symmetric figure? Type: 1, Correct answer: Figure 2 Solution: A symmetric figure can be folded along a line so the two halves match exactly.
Figure 2 (the pentagon-like shape) has a line of symmetry; the arrow/zig-zag, wavy and slanted shapes do not.
So the answer is Figure 2. ID=17683 (idx 10247): GOOD Q: KLMN is a square.Find ∠e. Correct: 36° Solution: At vertex M the corner of the square is 90°.
The 31° angle and ∠e and the 23° angle sit inside that corner: 90° − 31° − 23° = 36°.
So ∠e = 36°. ID=17684 (idx 10248): GOOD Q: John is facing south-west.When he turns through an angle of in an anti-clockwise direction, he will be facing east. Correct: 135° Solution: On the 8-point compass, turning anti-clockwise from south-west: SW → S (45°) → SE (90°) → E (135°).
Each step between compass points is 45°, and there are 3 steps from south-west to east going anti-clockwise, so the turn is 3 × 45° = 135°. ************************************************************ ID=17685 (idx 10249): NEEDS_REVISION -> correct answer "17 cm" not found in solution Question: The figure is made up of 2 identical squares of side 4 cm, a rectangle A with breadth 5 cm and a square B.Find the length of rectangle A. Type: 1, Correct answer: 17 cm Solution: The 14 cm marked length runs from the left edge of square B to the right edge of rectangle A.
Square B has side 4 cm (it lines up with the 4 cm squares).
Length of A = total 14 cm + the two 4 cm squares overhang... ID=17686 (idx 10250): GOOD Q: Use a protractor to measure ∠XYZ. [?] Correct: 108 Solution: Placing a protractor with its centre at Y and the baseline along one arm, the other arm reads 108°.
So ∠XYZ = 108°.