{
"paper": {
"school": "Red Swastika",
"year": 2023,
"level": "P4",
"label": "Weighted Assessment 2",
"source_prefix": "Red Swastika 2023 P4 Weighted Assessment 2",
"has_answer_key": true
},
"questions": [
{
"n": 1,
"type_id": 1,
"question": "What is the value of the digit 5 in 87.654?",
"answer0": "5",
"answer1": "0.5",
"answer2": "0.05",
"answer3": "0.005",
"correct_answer": 2,
"skill_id": 123,
"difficulty_id": 1,
"explanation": "In 87.654 the digit 5 is in the hundredths place. Place values after the point are tenths (6), hundredths (5), thousandths (4). So the digit 5 stands for 5 hundredths = 0.05.",
"hints": [
"Name the place value of each digit after the decimal point.",
"The second digit after the point is the hundredths place."
],
"source": "Red Swastika 2023 P4 Weighted Assessment 2 Q1",
"image_needed": false,
"image_options": false,
"image_file": null,
"image_page": null,
"image_bbox": null,
"image_loc": null,
"notes": "key: option 3 (0.05)"
},
{
"n": 2,
"type_id": 1,
"question": "Which of the following is equal to $$2\\frac{5}{7}$$?",
"answer0": "$$\\frac{10}{7}$$",
"answer1": "$$\\frac{17}{7}$$",
"answer2": "$$\\frac{19}{7}$$",
"answer3": "$$\\frac{25}{7}$$",
"correct_answer": 2,
"skill_id": 119,
"difficulty_id": 1,
"explanation": "Convert the mixed number to an improper fraction: $$2\\frac{5}{7} = \\frac{2\\times 7 + 5}{7} = \\frac{14+5}{7} = \\frac{19}{7}$$.",
"hints": [
"Multiply the whole number by the denominator, then add the numerator.",
"Keep the same denominator (7)."
],
"source": "Red Swastika 2023 P4 Weighted Assessment 2 Q2",
"image_needed": false,
"image_options": false,
"image_file": null,
"image_page": null,
"image_bbox": null,
"image_loc": null,
"notes": "key: option 3 (19/7)"
},
{
"n": 3,
"type_id": 1,
"question": "Which letter is not symmetrical?",
"answer0": "T",
"answer1": "O",
"answer2": "W",
"answer3": "N",
"correct_answer": 3,
"skill_id": 144,
"difficulty_id": 1,
"explanation": "A symmetric letter can be folded so the two halves match. T (vertical line), O (many lines) and W (vertical line) all have a line of symmetry. N has no line of symmetry, so it is the letter that is not symmetrical.",
"hints": [
"Try to fold each letter so the two halves match exactly.",
"Check both a vertical and a horizontal fold."
],
"source": "Red Swastika 2023 P4 Weighted Assessment 2 Q3",
"image_needed": false,
"image_options": false,
"image_file": null,
"image_page": null,
"image_bbox": null,
"image_loc": null,
"notes": "key: option 4 (N). Letters given as text options T O W N; no figure crop needed."
},
{
"n": 4,
"type_id": 1,
"question": "Which of the following decimals is the smallest?",
"answer0": "4.132",
"answer1": "4.123",
"answer2": "4.321",
"answer3": "4.231",
"correct_answer": 1,
"skill_id": 124,
"difficulty_id": 1,
"explanation": "All have the same whole-number part 4. Compare the tenths: 4.123 and 4.132 both have 1 tenth, smaller than the others. Then compare hundredths: 4.123 has 2 hundredths, 4.132 has 3 hundredths. So 4.123 is the smallest.",
"hints": [
"Compare digit by digit from the left.",
"When the tenths are equal, compare the hundredths."
],
"source": "Red Swastika 2023 P4 Weighted Assessment 2 Q4",
"image_needed": false,
"image_options": false,
"image_file": null,
"image_page": null,
"image_bbox": null,
"image_loc": null,
"notes": "key: option 2 (4.123)"
},
{
"n": 5,
"type_id": 1,
"question": "$$7.2 = 7 + \\frac{1}{[?]}$$
What is the missing number in the box?",
"answer0": "5",
"answer1": "2",
"answer2": "10",
"answer3": "100",
"correct_answer": 0,
"skill_id": 126,
"difficulty_id": 2,
"explanation": "7.2 = 7 + 0.2. Write 0.2 as a fraction: $$0.2 = \\frac{2}{10} = \\frac{1}{5}$$. So the missing number in the box is 5.",
"hints": [
"7.2 = 7 + 0.2, so the fraction part equals 0.2.",
"Write 0.2 as a fraction with numerator 1."
],
"source": "Red Swastika 2023 P4 Weighted Assessment 2 Q5",
"image_needed": false,
"image_options": false,
"image_file": null,
"image_page": null,
"image_bbox": null,
"image_loc": null,
"notes": "key: option 1 (5)"
},
{
"n": 6,
"type_id": 1,
"question": "Mark is 1.55 m tall.
He is 0.4 m shorter than Alan.
What is Alan's height?",
"answer0": "1.15 m",
"answer1": "1.51 m",
"answer2": "1.59 m",
"answer3": "1.95 m",
"correct_answer": 3,
"skill_id": 129,
"difficulty_id": 1,
"explanation": "Mark is shorter than Alan, so Alan is taller. Alan's height = Mark's height + 0.4 m = 1.55 + 0.4 = 1.95 m.",
"hints": [
"If Mark is shorter than Alan, Alan must be taller.",
"Add 0.4 m to Mark's height."
],
"source": "Red Swastika 2023 P4 Weighted Assessment 2 Q6",
"image_needed": false,
"image_options": false,
"image_file": null,
"image_page": null,
"image_bbox": null,
"image_loc": null,
"notes": "key: option 4 (1.95 m)"
},
{
"n": 7,
"type_id": 1,
"question": "Lynn bought 5 kg of cherries. She gave the cashier $100 and received $32 change. Find the cost of 1 kg of cherries.",
"answer0": "$13.60",
"answer1": "$20.00",
"answer2": "$26.40",
"answer3": "$68.00",
"correct_answer": 0,
"skill_id": 131,
"difficulty_id": 2,
"explanation": "Total cost of 5 kg = $100 - $32 = $68. Cost of 1 kg = $68 ÷ 5 = $13.60.",
"hints": [
"First find the total amount paid: $100 minus the change.",
"Divide the total cost by 5 kg."
],
"source": "Red Swastika 2023 P4 Weighted Assessment 2 Q7",
"image_needed": false,
"image_options": false,
"image_file": null,
"image_page": null,
"image_bbox": null,
"image_loc": null,
"notes": "key: option 1 ($13.60)"
},
{
"n": 8,
"type_id": 1,
"question": "Gopal saved $2.50 for every $8 he had. If he had $72, how much did he save?",
"answer0": "$74.50",
"answer1": "$22.50",
"answer2": "$20.00",
"answer3": "$9.00",
"correct_answer": 1,
"skill_id": 131,
"difficulty_id": 2,
"explanation": "Number of $8 groups in $72 = 72 ÷ 8 = 9. He saved $2.50 for each group: 9 × $2.50 = $22.50.",
"hints": [
"Find how many groups of $8 are in $72.",
"Multiply that number by $2.50."
],
"source": "Red Swastika 2023 P4 Weighted Assessment 2 Q8",
"image_needed": false,
"image_options": false,
"image_file": null,
"image_page": null,
"image_bbox": null,
"image_loc": null,
"notes": "key: option 2 ($22.50)"
},
{
"n": 9,
"type_id": 1,
"question": "May and her 3 friends bought a cake that cost $24.60. The cost was shared equally among May and her friends. How much did each person pay for the cake?",
"answer0": "$6.15",
"answer1": "$8.20",
"answer2": "$72.80",
"answer3": "$98.40",
"correct_answer": 0,
"skill_id": 131,
"difficulty_id": 1,
"explanation": "May and her 3 friends make 4 people in total. Each person pays $24.60 ÷ 4 = $6.15.",
"hints": [
"Count the total number of people: May plus 3 friends.",
"Divide the cost equally by 4."
],
"source": "Red Swastika 2023 P4 Weighted Assessment 2 Q9",
"image_needed": false,
"image_options": false,
"image_file": null,
"image_page": null,
"image_bbox": null,
"image_loc": null,
"notes": "key: option 1 ($6.15)"
},
{
"n": 10,
"type_id": 1,
"question": "David spent $$\\frac{4}{9}$$ of his money and had $80 left. How much money did he have at first?",
"answer0": "$16",
"answer1": "$20",
"answer2": "$144",
"answer3": "$180",
"correct_answer": 3,
"skill_id": 122,
"difficulty_id": 2,
"explanation": "Fraction left = $$1 - \\frac{4}{9} = \\frac{5}{9}$$, which equals $80. So $$\\frac{1}{9}$$ = $80 ÷ 5 = $16, and the whole = $16 × 9 = $144... check: $144 × $$\\frac{5}{9}$$ = $80. Total money at first = $144.",
"hints": [
"The money left is the fraction 1 minus 4/9.",
"Find the value of one ninth, then multiply by 9."
],
"source": "Red Swastika 2023 P4 Weighted Assessment 2 Q10",
"image_needed": false,
"image_options": false,
"image_file": null,
"image_page": null,
"image_bbox": null,
"image_loc": null,
"notes": "key: option 3 ($144)"
},
{
"n": 11,
"type_id": 2,
"question": "Write the fraction represented by X.",
"answer0": "1 3/5",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 119,
"difficulty_id": 2,
"explanation": "Each whole on the number line between 1 and 2 is divided into 5 equal parts (fifths). X is 3 small marks past 1, so X = $$1\\frac{3}{5}$$.",
"hints": [
"Count how many equal parts each whole unit is divided into.",
"X lies between 1 and 2; count the small marks past 1."
],
"source": "Red Swastika 2023 P4 Weighted Assessment 2 Q11a",
"image_needed": true,
"image_options": false,
"image_file": "q11.png",
"image_page": 4,
"image_bbox": [
0.18,
0.22,
0.64,
0.33
],
"image_loc": "number line from 0 to 2 with arrow labelled X between 1 and 2, upper-middle of page 4",
"notes": "key 11a: 1 3/5. FIB fraction answer kept plain as mixed number '1 3/5'. Number line spans 0..2, fifths between marks; X is at 1 3/5."
},
{
"n": 12,
"type_id": 2,
"question": "Arrange the following numbers from the smallest to the largest.
3.5 , 3.05 , $$3\\frac{1}{100}$$
[?] (smallest) , [?] , [?]",
"answer0": "3 1/100",
"answer1": "3.05",
"answer2": "3.5",
"answer3": null,
"correct_answer": null,
"skill_id": 124,
"difficulty_id": 2,
"explanation": "Write all as decimals: $$3\\frac{1}{100} = 3.01$$, 3.05, 3.5. In order smallest to largest: 3.01, 3.05, 3.5, i.e. $$3\\frac{1}{100}$$, 3.05, 3.5.",
"hints": [
"Convert the fraction to a decimal: 1/100 = 0.01.",
"Compare the tenths and hundredths digits."
],
"source": "Red Swastika 2023 P4 Weighted Assessment 2 Q11b",
"image_needed": false,
"image_options": false,
"image_file": null,
"image_page": null,
"image_bbox": null,
"image_loc": null,
"notes": "Q11b on paper. key: 3 1/100, 3.05, 3.5. Ordering converted to FIB, one [?] per position. Answers plain; mixed-fraction kept as '3 1/100'."
},
{
"n": 13,
"type_id": 2,
"question": "Write $$4\\frac{7}{20}$$ as a decimal.",
"answer0": "4.35",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 127,
"difficulty_id": 2,
"explanation": "Make the denominator 100: $$\\frac{7}{20} = \\frac{35}{100} = 0.35$$. So $$4\\frac{7}{20} = 4.35$$.",
"hints": [
"Find an equivalent fraction with denominator 100.",
"Multiply numerator and denominator by 5."
],
"source": "Red Swastika 2023 P4 Weighted Assessment 2 Q12a",
"image_needed": false,
"image_options": false,
"image_file": null,
"image_page": null,
"image_bbox": null,
"image_loc": null,
"notes": "Q12a on paper. key: 4.35 (key prints 4.350; 4.35 is the standard form)."
},
{
"n": 14,
"type_id": 2,
"question": "Express 5.2 as a mixed number in its simplest form.",
"answer0": "5 1/5",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 126,
"difficulty_id": 2,
"explanation": "5.2 = 5 + 0.2. Write 0.2 as a fraction: $$0.2 = \\frac{2}{10} = \\frac{1}{5}$$. So 5.2 = $$5\\frac{1}{5}$$.",
"hints": [
"Separate the whole-number part from the decimal part.",
"Write 0.2 as a fraction and simplify."
],
"source": "Red Swastika 2023 P4 Weighted Assessment 2 Q12b",
"image_needed": false,
"image_options": false,
"image_file": null,
"image_page": null,
"image_bbox": null,
"image_loc": null,
"notes": "Q12b on paper. key: 5 1/5. FIB mixed-fraction answer kept plain as '5 1/5'."
},
{
"n": 15,
"type_id": 0,
"question": "Complete the symmetric figure with XY as the line of symmetry.",
"answer0": null,
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 145,
"difficulty_id": 2,
"explanation": "Reflect every line of the given half across the diagonal line of symmetry XY to draw the matching half, producing a figure symmetric about XY.",
"hints": [
"Reflect each point across the diagonal line XY.",
"Distances from the line of symmetry stay equal on both sides."
],
"source": "Red Swastika 2023 P4 Weighted Assessment 2 Q13",
"image_needed": true,
"image_options": false,
"image_file": "q15.png",
"image_page": 5,
"image_bbox": [
0.27,
0.1,
0.66,
0.37
],
"image_loc": "square grid with partial figure and dashed diagonal line of symmetry XY, top of page 5",
"notes": "Q13 on paper (Complete-the-symmetric-figure). Interactive draw task with no value answer; type_id 0, SKIPPED on insert. Answer = reflected figure across XY."
},
{
"n": 16,
"type_id": 2,
"question": "Linda wanted to buy a notebook that cost $3.90 and a pen that cost $1.50. After checking her wallet, she found that she was short of $0.60. How much money was in her wallet?",
"answer0": "4.80",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 129,
"difficulty_id": 2,
"explanation": "Total cost = $3.90 + $1.50 = $5.40. She was short of $0.60, so money in wallet = $5.40 - $0.60 = $4.80.",
"hints": [
"Add the cost of the notebook and the pen.",
"She is short $0.60, so subtract that from the total cost."
],
"source": "Red Swastika 2023 P4 Weighted Assessment 2 Q14",
"image_needed": false,
"image_options": false,
"image_file": null,
"image_page": null,
"image_bbox": null,
"image_loc": null,
"notes": "Q14 on paper. Answer in dollars ($). key: $4.80."
},
{
"n": 17,
"type_id": 2,
"question": "A bag of potatoes is $$\\frac{2}{5}$$ kg heavier than a bag of tomatoes. The bag of tomatoes has a mass of $$\\frac{5}{8}$$ kg. What is the mass of the bag of potatoes? Leave your answer in mixed number.",
"answer0": "1 1/40",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 121,
"difficulty_id": 3,
"explanation": "Mass of potatoes = $$\\frac{5}{8} + \\frac{2}{5}$$. Common denominator 40: $$\\frac{25}{40} + \\frac{16}{40} = \\frac{41}{40} = 1\\frac{1}{40}$$ kg.",
"hints": [
"Add 2/5 kg to the tomatoes' mass of 5/8 kg.",
"Use a common denominator of 40 for fifths and eighths."
],
"source": "Red Swastika 2023 P4 Weighted Assessment 2 Q15",
"image_needed": false,
"image_options": false,
"image_file": null,
"image_page": null,
"image_bbox": null,
"image_loc": null,
"notes": "Q15 on paper. Answer in kg. key: 1 1/40 kg. FIB mixed-fraction answer kept plain as '1 1/40'."
},
{
"n": 18,
"type_id": 2,
"question": "Juliet baked some chocolate and oatmeal cookies. She baked 12 chocolate cookies and $$\\frac{5}{8}$$ of the cookies were oatmeal. Her mother gave her another 8 oatmeal cookies. What fraction of the cookies were chocolate?",
"answer0": "3/10",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 120,
"difficulty_id": 3,
"explanation": "If 5/8 were oatmeal, then 3/8 were chocolate = 12 cookies. So 1/8 = 4 cookies and total = 32 cookies (12 chocolate, 20 oatmeal). After 8 more oatmeal: total = 40, chocolate still 12. Fraction chocolate = $$\\frac{12}{40} = \\frac{3}{10}$$.",
"hints": [
"3/8 of the cookies were chocolate, and that equals 12.",
"Find the new total after adding 8 oatmeal cookies, then form the fraction."
],
"source": "Red Swastika 2023 P4 Weighted Assessment 2 Q16",
"image_needed": false,
"image_options": false,
"image_file": null,
"image_page": null,
"image_bbox": null,
"image_loc": null,
"notes": "Q16 on paper. key: 3/10. FIB fraction answer kept plain as '3/10'."
},
{
"n": 19,
"type_id": 2,
"question": "In a bakery, a Muffin costs $2.40 and a Pie costs $3.60. Mrs Toh bought an equal number of muffins and pies and paid $54. How much did Mrs Toh pay for the muffins?",
"answer0": "21.60",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 131,
"difficulty_id": 3,
"explanation": "One muffin + one pie = $2.40 + $3.60 = $6.00. Number of each = $54 ÷ $6 = 9. Cost of 9 muffins = 9 × $2.40 = $21.60.",
"hints": [
"Find the cost of one muffin-and-pie pair.",
"Divide $54 by the pair cost to get the number of muffins, then multiply by $2.40."
],
"source": "Red Swastika 2023 P4 Weighted Assessment 2 Q17",
"image_needed": true,
"image_options": false,
"image_file": "q19.png",
"image_page": 7,
"image_bbox": [
0.27,
0.16,
0.66,
0.32
],
"image_loc": "drawings of a muffin ($2.40) and a pie ($3.60) side by side, upper part of page 7",
"notes": "Q17 on paper. Prices ($2.40 / $3.60) are stated in stem so figure is decorative; answer in dollars. key: $21.60."
},
{
"n": 20,
"type_id": 2,
"question": "Bryan had some money. He spent $$\\frac{1}{2}$$ of his money on a watch, $$\\frac{1}{5}$$ of his money on two T-shirts and saved the rest. He saved $60. What fraction of his money did he save?",
"answer0": "3/10",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 121,
"difficulty_id": 2,
"explanation": "Fraction spent = $$\\frac{1}{2} + \\frac{1}{5} = \\frac{5}{10} + \\frac{2}{10} = \\frac{7}{10}$$. Fraction saved = $$1 - \\frac{7}{10} = \\frac{3}{10}$$.",
"hints": [
"Add the fractions spent using a common denominator of 10.",
"Saved fraction = 1 minus the fraction spent."
],
"source": "Red Swastika 2023 P4 Weighted Assessment 2 Q18a",
"image_needed": false,
"image_options": false,
"image_file": null,
"image_page": null,
"image_bbox": null,
"image_loc": null,
"notes": "Q18a on paper. key: 3/10. FIB fraction answer kept plain as '3/10'."
},
{
"n": 21,
"type_id": 2,
"question": "Bryan had some money. He spent $$\\frac{1}{2}$$ of his money on a watch, $$\\frac{1}{5}$$ of his money on two T-shirts and saved the rest. He saved $60. How much does each T-shirt cost?",
"answer0": "20",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 122,
"difficulty_id": 3,
"explanation": "Saved fraction = $$\\frac{3}{10}$$ = $60, so $$\\frac{1}{10}$$ = $20 and total money = $200. He spent $$\\frac{1}{5}$$ on two T-shirts = $200 × $$\\frac{1}{5}$$ = $40 for two T-shirts. Each T-shirt = $40 ÷ 2 = $20.",
"hints": [
"Use the saved fraction 3/10 = $60 to find the total money.",
"1/5 of the total buys two T-shirts; divide that by 2."
],
"source": "Red Swastika 2023 P4 Weighted Assessment 2 Q18b",
"image_needed": false,
"image_options": false,
"image_file": null,
"image_page": null,
"image_bbox": null,
"image_loc": null,
"notes": "Q18b on paper. Answer in dollars per T-shirt. key: $20 (total money $200; $40 for two T-shirts ÷ 2 = $20 each)."
}
]
}