{ "paper": { "school": "Raffles Girls' Primary School", "year": 2023, "level": "P5", "label": "Weighted Assessment 2", "source_prefix": "Raffles 2023 P5 Weighted Assessment 2", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 2, "question": "What is the missing number in the box?
$$6.514 = 6 + 0.5 + [?]$$", "answer0": "0.014", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 123, "difficulty_id": 1, "explanation": "Expanded form by place value: 6.514 = 6 + 0.5 + 0.01 + 0.004 = 6 + 0.5 + 0.014. The missing number is 0.014.", "hints": ["Write 6.514 in expanded form by place value.", "6 (ones) + 0.5 (tenths) leaves the hundredths and thousandths: 0.01 + 0.004."], "source": "Raffles 2023 P5 Weighted Assessment 2 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 0.014" }, { "n": 2, "type_id": 2, "question": "Round 51.745 to 2 decimal places.
[?]", "answer0": "51.75", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 168, "difficulty_id": 1, "explanation": "To round 51.745 to 2 decimal places, look at the 3rd decimal digit (5). Since it is 5, round up the 2nd decimal place: 51.745 ≈ 51.75.", "hints": ["Look at the digit in the 3rd decimal place.", "If it is 5 or more, round the 2nd decimal place up."], "source": "Raffles 2023 P5 Weighted Assessment 2 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 51.75" }, { "n": 3, "type_id": 2, "question": "Arrange the following decimals from the smallest to the greatest.
11.19, 11.9, 11.091
Smallest [?] , [?] , [?] Greatest", "answer0": "11.091", "answer1": "11.19", "answer2": "11.9", "answer3": null, "correct_answer": null, "skill_id": 124, "difficulty_id": 2, "explanation": "Compare place by place: 11.091 < 11.19 < 11.9. Tenths: 11.091 has 0, 11.19 has 1, 11.9 has 9. Smallest to greatest: 11.091, 11.19, 11.9.", "hints": ["Line up the decimal points and compare digit by digit from the left.", "Compare the tenths place first, then the hundredths."], "source": "Raffles 2023 P5 Weighted Assessment 2 Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 11.091, 11.19, 11.9 (three ordered blanks)" }, { "n": 4, "type_id": 2, "question": "Fill in the blanks.
a) 85 ml = [?] ℓ
b) 3 m 70 cm = [?] cm", "answer0": "0.085", "answer1": "370", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 184, "difficulty_id": 1, "explanation": "a) 1 ℓ = 1000 ml, so 85 ml = 85 ÷ 1000 = 0.085 ℓ. b) 1 m = 100 cm, so 3 m = 300 cm; 3 m 70 cm = 300 + 70 = 370 cm.", "hints": ["1 litre = 1000 ml; divide ml by 1000 to get litres.", "1 m = 100 cm."], "source": "Raffles 2023 P5 Weighted Assessment 2 Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: a) 0.085 L b) 370 cm. answer0 in litres, answer1 in cm." }, { "n": 5, "type_id": 2, "question": "There were 50 children in the class. 18 of them were girls. What percentage of the children in the class were girls?
[?]", "answer0": "36", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 171, "difficulty_id": 1, "explanation": "Percentage of girls = (18 ÷ 50) × 100% = 36%. (Or 18/50 = 36/100 = 36%.)", "hints": ["Percentage = (part ÷ whole) × 100%.", "18/50 × 100%."], "source": "Raffles 2023 P5 Weighted Assessment 2 Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 36% (answer in %)" }, { "n": 6, "type_id": 2, "question": "In the number line, what is the decimal represented by A?
[?]", "answer0": "5.96", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 124, "difficulty_id": 2, "explanation": "Between 5.9 and 6.0 there are 10 equal intervals, each worth 0.01. A is at the 6th mark after 5.9, so A = 5.9 + 6 × 0.01 = 5.96.", "hints": ["Find how many equal parts the interval from 5.9 to 6.0 is divided into.", "Each small division is 0.01; count the marks from 5.9 to A."], "source": "Raffles 2023 P5 Weighted Assessment 2 Q6", "image_needed": true, "image_options": false, "image_file": "q6.png", "image_page": 3, "image_bbox": [0.30, 0.62, 0.72, 0.74], "image_loc": "middle of page 3, number line marked 5.8, 5.9, 6.0 with arrow A", "notes": "Answer key: 5.96" }, { "n": 7, "type_id": 2, "question": "Mr and Mrs Gomez took their 2 children to a museum. The price of an adult ticket was 3 times as much as a child ticket. They paid a total of $146.40 for their tickets. What was the price of a child ticket?
$[?]", "answer0": "18.30", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 152, "difficulty_id": 2, "explanation": "2 adults = 2 × 3 = 6 child-units; 2 children = 2 child-units. Total = 6 + 2 = 8 child-units = $146.40. One child ticket = 146.40 ÷ 8 = $18.30.", "hints": ["Let a child ticket be 1 unit; an adult ticket is 3 units.", "2 adults + 2 children = 8 units in total."], "source": "Raffles 2023 P5 Weighted Assessment 2 Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 146.40 ÷ 8 = $18.30" }, { "n": 8, "type_id": 2, "question": "Mdm Norah had $56 000 in her bank account. The bank paid 6% interest at the end of each year. How much did she have in her bank account at the end of 1 year?
$[?]", "answer0": "59360", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 176, "difficulty_id": 2, "explanation": "Interest = 6% of $56 000 = 0.06 × 56 000 = $3360. Total at end of 1 year = 56 000 + 3360 = $59 360.", "hints": ["Interest = 6% × $56 000.", "Add the interest back to the original amount."], "source": "Raffles 2023 P5 Weighted Assessment 2 Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 56000 × 6% = 3360; 56000 + 3360 = $59360" }, { "n": 9, "type_id": 2, "question": "Gina bought 42 red flowers and 38 white flowers. What percentage of the flowers were red?
[?]", "answer0": "52.5", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 171, "difficulty_id": 2, "explanation": "Total flowers = 42 + 38 = 80. Percentage red = (42 ÷ 80) × 100% = 52.5%.", "hints": ["Find the total number of flowers first.", "Percentage red = (42 ÷ total) × 100%."], "source": "Raffles 2023 P5 Weighted Assessment 2 Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 52.5% (answer in %)" }, { "n": 10, "type_id": 2, "question": "What is the price of the cupboard after adding 8% GST?
$[?]", "answer0": "388.80", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 176, "difficulty_id": 2, "explanation": "GST = 8% of $360 = 0.08 × 360 = $28.80. Price after GST = 360 + 28.80 = $388.80.", "hints": ["GST = 8% × $360.", "Add the GST to the original price."], "source": "Raffles 2023 P5 Weighted Assessment 2 Q10", "image_needed": true, "image_options": false, "image_file": "q10.png", "image_page": 5, "image_bbox": [0.40, 0.13, 0.78, 0.32], "image_loc": "top of page 5, cupboard with price tag showing $360 GST not included", "notes": "Answer key: 360 × 8% = 28.8; 360 + 28.8 = $388.80. Price $360 is in the figure tag." }, { "n": 11, "type_id": 2, "question": "A fan cost $55. Elle bought it at 40% discount. How much was the discount?
$[?]", "answer0": "22", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 176, "difficulty_id": 1, "explanation": "Discount = 40% of $55 = 0.40 × 55 = $22.", "hints": ["The discount is a percentage of the original price.", "40% × $55."], "source": "Raffles 2023 P5 Weighted Assessment 2 Q11", "image_needed": true, "image_options": false, "image_file": "q11.png", "image_page": 5, "image_bbox": [0.40, 0.55, 0.62, 0.74], "image_loc": "middle of page 5, table fan illustration (decorative)", "notes": "Answer key: 55 × 40% = $22. Fan image is decorative; price given in text." }, { "n": 12, "type_id": 2, "question": "Susan has 2 rolls of ribbon of the same length but in different colours. She cuts the roll of blue ribbon into 4 equal pieces and the roll of red ribbon into 5 equal pieces. After cutting, each piece of blue ribbon is 1.85 m longer than each piece of red ribbon. What is the length of 1 roll of ribbon?
[?]", "answer0": "37", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 152, "difficulty_id": 3, "explanation": "Let one roll = L. Blue piece = L/4, red piece = L/5. Difference L/4 − L/5 = L/20 = 1.85 m, so L = 1.85 × 20 = 37 m.", "hints": ["Express each piece as a fraction of the whole roll: L/4 and L/5.", "The difference L/4 − L/5 = L/20 equals 1.85 m."], "source": "Raffles 2023 P5 Weighted Assessment 2 Q12", "image_needed": true, "image_options": false, "image_file": "q12.png", "image_page": 6, "image_bbox": [0.27, 0.36, 0.68, 0.49], "image_loc": "middle of page 6, two ribbon rolls labelled '1 roll of blue ribbon' and '1 roll of red ribbon' (decorative)", "notes": "Answer key: 1.85 × 4 = 7.4; 7.4 × 5 = 37 m. Answer in metres." }, { "n": 13, "type_id": 2, "question": "Dinesh saved a total of 132 pieces of 50-cent, 20-cent and 5-cent coins in his piggy bank. He had 5 fewer 50-cent coins than 20-cent coins. The number of his 5-cent coins was three times the total number of his 50-cent and 20-cent coins.
a) How many 20-cent coins did Dinesh have? [?]
b) What was the total value of his 5-cent coins? [?]", "answer0": "19", "answer1": "495", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 152, "difficulty_id": 3, "explanation": "Let 20-cent coins = x, then 50-cent coins = x − 5. 5-cent coins = 3(x + x − 5) = 3(2x − 5). Total: x + (x − 5) + 3(2x − 5) = 132 → 8x − 20 = 132 → 8x = 152 → x = 19. So 20-cent coins = 19. 50-cent = 14, sum = 33, 5-cent coins = 3 × 33 = 99. Value of 5-cent coins = 99 × 5 = 495 cents (= $4.95).", "hints": ["Let the number of 20-cent coins be a unit; the 50-cent coins are 5 fewer.", "The 5-cent coins equal 3 times the combined total of the other two types."], "source": "Raffles 2023 P5 Weighted Assessment 2 Q13", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: a) 19 b) 495 (total value of 5-cent coins in cents; equals $4.95). answer1 = 495 per the printed key." }, { "n": 14, "type_id": 2, "question": "Davina uses triangles and circles to form figures that follow a pattern. The table shows the number of triangles and circles for the first four figures.
a) Complete the table for Figure 5: number of triangles [?] , number of circles [?] , total number of triangles and circles [?]
b i) What is the total number of triangles and circles in Figure 9? [?]
b ii) In Figure 9, what percentage of the total number of triangles and circles is the number of triangles? [?]", "answer0": "20", "answer1": "100", "answer2": "120", "answer3": "360", "answer4": "10", "correct_answer": null, "skill_id": 152, "difficulty_id": 3, "explanation": "Triangles in Figure n = 4n; circles = (2n)^2 = 4n^2. Figure 5: triangles = 4×5 = 20, circles = 4×5^2 = 100, total = 120. (b i) Figure 9: triangles = 4×9 = 36, circles = 4×9^2 = 324, total = 36 + 324 = 360. (b ii) Percentage triangles = (36 ÷ 360) × 100% = 10%.", "hints": ["Triangles follow 4, 8, 12, 16 … (add 4 each time); circles are 4, 16, 36, 64 … (square numbers × 4).", "For Figure 9, find triangles and circles separately, then add; percentage = (triangles ÷ total) × 100%."], "source": "Raffles 2023 P5 Weighted Assessment 2 Q14", "image_needed": true, "image_options": false, "image_file": "q14.png", "image_page": 8, "image_bbox": [0.10, 0.11, 0.92, 0.34], "image_loc": "top of page 8, Figures 1-4 made of circles and triangles in a pattern", "notes": "Answer key: a) 20, 100, 120 b i) 360 b ii) 10%. Five blanks map to answer0..answer4 in order (b ii percentage value, whole number). Figure 9 triangles=36, circles=324. The pattern table (cols 1-4) is in the figure image." } ] }