{
  "paper": {
    "school": "Raffles Girls' Primary School",
    "year": 2022,
    "level": "P5",
    "label": "Weighted Assessment 2",
    "source_prefix": "Raffles 2022 P5 Weighted Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 2,
      "question": "Convert 5 kg 20 g to kg.<br>[?] kg",
      "answer0": "5.02",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 184,
      "difficulty_id": 1,
      "explanation": "Method: convert grams to kilograms (1000 g = 1 kg). 20 g = 20 ÷ 1000 = 0.02 kg. So 5 kg 20 g = 5 + 0.02 = 5.02 kg.",
      "hints": ["1000 g = 1 kg.", "20 g = 0.02 kg, then add the 5 kg."],
      "source": "Raffles 2022 P5 Weighted Assessment 2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 5.02"
    },
    {
      "n": 2,
      "type_id": 2,
      "question": "Round 60.47 to 1 decimal place.<br>[?]",
      "answer0": "60.5",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 168,
      "difficulty_id": 1,
      "explanation": "Method: look at the 2nd decimal digit (7). Since 7 ≥ 5, round the 1st decimal digit up: 60.47 → 60.5.",
      "hints": ["The digit in the hundredths place is 7.", "7 ≥ 5, so round up."],
      "source": "Raffles 2022 P5 Weighted Assessment 2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 60.5"
    },
    {
      "n": 3,
      "type_id": 2,
      "question": "Write 8 tens, 7 ones, 6 tenths and 1 thousandth as a numeral.<br>[?]",
      "answer0": "87.601",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 149,
      "difficulty_id": 2,
      "explanation": "Method: place each digit by value. 8 tens = 80, 7 ones = 7, 6 tenths = 0.6, 1 thousandth = 0.001. The hundredths place is 0. So 80 + 7 + 0.6 + 0.001 = 87.601.",
      "hints": ["Tenths is the 1st decimal place, hundredths the 2nd, thousandths the 3rd.", "There are no hundredths, so put 0 in that place: 87.6_1."],
      "source": "Raffles 2022 P5 Weighted Assessment 2 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 87.601"
    },
    {
      "n": 4,
      "type_id": 2,
      "question": "What percentage of the figure is shaded?<br>[?] %",
      "answer0": "25",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 171,
      "difficulty_id": 2,
      "explanation": "Method: the figure is a 4 by 2 grid (8 equal squares). Each shaded triangle is half a square. Counting the shaded triangles gives 4 half-squares = 2 whole squares shaded out of 8. So \\(\\dfrac{2}{8}=\\dfrac{1}{4}=25\\%\\).",
      "hints": ["The grid has 8 equal cells.", "Each shaded triangle is half a cell; total shaded = 2 cells out of 8."],
      "source": "Raffles 2022 P5 Weighted Assessment 2 Q4",
      "image_needed": true,
      "image_options": false,
      "image_file": "q4.png",
      "image_page": 3,
      "image_bbox": [0.24, 0.12, 0.67, 0.29],
      "image_loc": "top of page, the 4x2 grid with shaded triangles above the question text",
      "notes": "Answer key: 25%. 4x2 grid of squares with shaded triangles equalling 2 full squares."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "(a) Arrange the following decimals from the greatest to the smallest.<br>13.04,  13.4,  13.41<br>[?] (greatest), [?], [?]<br>(b) In the number line, what is the value represented by X?<br>[?]",
      "answer0": "13.41",
      "answer1": "13.4",
      "answer2": "13.04",
      "answer3": "7.17",
      "correct_answer": null,
      "skill_id": 158,
      "difficulty_id": 2,
      "explanation": "(a) Compare place by place: 13.41 > 13.40 > 13.04. So greatest to smallest: 13.41, 13.4, 13.04. (b) The number line from 7.1 to 7.2 is split into 10 equal intervals of 0.01 each. X is on the 7th mark after 7.1, so X = 7.1 + 7 × 0.01 = 7.17.",
      "hints": ["(a) Line up decimal points; 13.4 is the same as 13.40.", "(b) Each small interval between 7.1 and 7.2 is 0.01; count the marks to X."],
      "source": "Raffles 2022 P5 Weighted Assessment 2 Q5",
      "image_needed": true,
      "image_options": false,
      "image_file": "q5.png",
      "image_page": 3,
      "image_bbox": [0.14, 0.69, 0.83, 0.79],
      "image_loc": "lower half of page, the number line for part (b) with 7.1 on the left, X in the middle, 7.2 on the right",
      "notes": "Answer key: a) 13.41, 13.4, 13.04 ; b) 7.17. Number line image is for part (b)."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "Jane spends $48.25 per month on transport. How much would she spend on transport in 3 years?<br>$ [?]",
      "answer0": "1737",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 167,
      "difficulty_id": 2,
      "explanation": "Method: 1 year = 12 months, so 1 year costs 48.25 × 12 = $579. 3 years = 579 × 3 = $1737.",
      "hints": ["There are 12 months in a year.", "Find the cost for 1 year first, then multiply by 3."],
      "source": "Raffles 2022 P5 Weighted Assessment 2 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: $1737"
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "A piece of ribbon measures 38.2 m long. It is cut into two pieces. The difference in length between the two pieces is 5.6 m. What is the length of the shorter piece?<br>[?] m",
      "answer0": "16.3",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 167,
      "difficulty_id": 2,
      "explanation": "Method: 2 units of the shorter piece = total − difference = 38.2 − 5.6 = 32.6 m. So 1 shorter piece = 32.6 ÷ 2 = 16.3 m.",
      "hints": ["Remove the difference from the total so both pieces are equal.", "38.2 − 5.6 = 32.6 represents two short pieces; divide by 2."],
      "source": "Raffles 2022 P5 Weighted Assessment 2 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 16.3 m"
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "Mrs Chin had $8000 in her bank account. The bank paid her a 3% interest at the end of each year. She did not withdraw any money from her account. How much money was in her bank account at the end of one year?<br>$ [?]",
      "answer0": "8240",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 176,
      "difficulty_id": 2,
      "explanation": "Method: after 3% interest the account holds 100% + 3% = 103% of $8000. \\(\\dfrac{103}{100}\\times 8000 = 8240\\). So there was $8240.",
      "hints": ["After interest, the amount is 103% of the original.", "\\(\\dfrac{103}{100}\\times 8000\\)."],
      "source": "Raffles 2022 P5 Weighted Assessment 2 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: $8240"
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "In a cinema, there are 280 people. 196 of them are adults. What percentage of the people in the cinema are children?<br>[?] %",
      "answer0": "30",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 171,
      "difficulty_id": 2,
      "explanation": "Method: children = 280 − 196 = 84. Percentage of children = \\(\\dfrac{84}{280}\\times 100\\% = 30\\%\\).",
      "hints": ["First find the number of children: 280 − 196.", "Percentage = \\(\\dfrac{\\text{children}}{280}\\times 100\\%\\)."],
      "source": "Raffles 2022 P5 Weighted Assessment 2 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 30%"
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "Jasmine bought 2 mattresses that cost $750 each. She had to pay 7% GST. How much did she pay for both the mattresses including 7% GST?<br>$ [?]",
      "answer0": "1605",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 176,
      "difficulty_id": 2,
      "explanation": "Method: 2 mattresses = 750 × 2 = $1500. With 7% GST the total is 107% of $1500: \\(\\dfrac{107}{100}\\times 1500 = 1605\\). So she paid $1605.",
      "hints": ["Find the cost of both mattresses before GST first.", "Including 7% GST means paying 107% of the cost."],
      "source": "Raffles 2022 P5 Weighted Assessment 2 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: $1605"
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Tammy bought some apples and pears. The number of apples to the number of pears is 2 : 1. An apple cost $1.50 and a pear cost $0.90. Tammy spent $936. How many pears did she buy?<br>[?]",
      "answer0": "240",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 183,
      "difficulty_id": 3,
      "explanation": "Method: for every 1 pear there are 2 apples. Cost of one such group = 2 × $1.50 + 1 × $0.90 = $3.00 + $0.90 = $3.90. Number of groups = 936 ÷ 3.90 = 240. Each group has 1 pear, so she bought 240 pears.",
      "hints": ["Apples : pears = 2 : 1, so group 2 apples with 1 pear.", "Cost of 1 group = 2×$1.50 + $0.90 = $3.90; divide $936 by this."],
      "source": "Raffles 2022 P5 Weighted Assessment 2 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 240 pears"
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "In a shop, Mr Jolly had 5500 milk cartons for sale.<br>(a) 45% of the milk cartons were strawberry milk. How many cartons of strawberry milk were there?<br>[?]<br>(b) Mr Jolly sold each carton of milk for $3. He collected $12375. What percentage of milk cartons were sold?<br>[?] %",
      "answer0": "2475",
      "answer1": "75",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 174,
      "difficulty_id": 2,
      "explanation": "(a) \\(\\dfrac{45}{100}\\times 5500 = 2475\\) cartons of strawberry milk. (b) Cartons sold = $12375 ÷ $3 = 4125. Percentage sold = \\(\\dfrac{4125}{5500}\\times 100\\% = 75\\%\\).",
      "hints": ["(a) Find 45% of 5500.", "(b) Number sold = 12375 ÷ 3, then express as a percentage of 5500."],
      "source": "Raffles 2022 P5 Weighted Assessment 2 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: a) 2475 ; b) 75%"
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "The table shows the number of books sold in a bookshop from Monday to Thursday.<br>Monday: 720<br>Tuesday: 240<br>Wednesday: 380<br>Thursday: 560<br>(a) What percentage of the books were sold on Tuesday? Give your answer rounded to 2 decimal places.<br>[?] %<br>(b) Terry wanted to buy 15 books from the bookshop but was short of $54. In the end, he bought 13 books and had $34.60 left. Find the cost of 1 book.<br>$ [?]",
      "answer0": "12.63",
      "answer1": "44.30",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 175,
      "difficulty_id": 3,
      "explanation": "(a) Total books = 720 + 240 + 380 + 560 = 1900. Tuesday percentage = \\(\\dfrac{240}{1900}\\times 100\\% = 12.631...\\% \\approx 12.63\\%\\). (b) Terry's money buys 13 books with $34.60 left, but is $54 short of 15 books. The 2 extra books would cost 54 + 34.60 = $88.60, so 1 book = 88.60 ÷ 2 = $44.30.",
      "hints": ["(a) Add all four days to get the total, then find Tuesday's share as a percentage.", "(b) The gap between buying 13 books and 15 books is 2 books = (the $54 short) + (the $34.60 left)."],
      "source": "Raffles 2022 P5 Weighted Assessment 2 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: a) 12.63% ; b) $44.30. Data table transcribed into the stem as text (no figure needed)."
    },
    {
      "n": 14,
      "type_id": 2,
      "question": "Sarah had some money in the piggy bank. On Monday, she took out \\(\\dfrac{2}{5}\\) of the money to buy a present. She had $78 left and she put it back into the piggy bank. On Tuesday, she took out \\(\\dfrac{3}{8}\\) of the money to buy some story books. She had $28.80 left and she put it back into the piggy bank. After that, she found that there was $246.30 in the piggy bank. How much money did she have in the piggy bank at first?<br>$ [?]",
      "answer0": "450",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 165,
      "difficulty_id": 3,
      "explanation": "Work backwards through the printed working. On Tuesday she had $246.30 at the end, of which $28.80 was left after spending \\(\\dfrac{3}{8}\\): 246.30 − 28.80 = $217.50 spent. The remaining \\(\\dfrac{5}{8}\\) ($217.50) gives 1 unit = 217.50 ÷ 5 = $43.50, so the money before Tuesday = 43.50 × 8 = $348. On Monday she had $78 left after spending \\(\\dfrac{2}{5}\\): 348 − 78 = $270 spent. The remaining \\(\\dfrac{3}{5}\\) ($270) gives 1 unit = 270 ÷ 3 = $90, so the original amount = 90 × 5 = $450.",
      "hints": ["Work backwards from the final $246.30, undoing Tuesday then Monday.", "Follow the key: 246.30 − 28.80 = 217.50, ÷ 5 × 8 = 348, − 78 = 270, ÷ 3 × 5 = 450."],
      "source": "Raffles 2022 P5 Weighted Assessment 2 Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: $450 (4 marks). Printed working: 246.30 − 28.80 = 217.50; 217.50 ÷ 5 = 43.50; 43.50 × 8 = 348; 348 − 78 = 270; 270 ÷ 3 = 90; 90 × 5 = $450."
    }
  ]
}