{
  "paper": {
    "school": "Nan Hua",
    "year": 2022,
    "level": "P5",
    "label": "Weighted Assessment 2",
    "source_prefix": "Nan Hua 2022 P5 Weighted Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 2,
      "question": "In the month of April, the ratio of the number of boxes of white masks sold to the number of boxes of black masks sold at a pharmacy was 8 : 7. If 56 boxes of black masks were sold in April, what was the total number of boxes of masks sold in April? [?]",
      "answer0": "120",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 183,
      "difficulty_id": 2,
      "explanation": "Black masks: 7 units = 56, so 1 unit = 56 ÷ 7 = 8. Total = white + black = 8 + 7 = 15 units. 15 × 8 = 120 boxes.",
      "hints": ["Find the value of 1 unit from the 7 units that equal 56 black masks.", "Total masks = (8 + 7) units."],
      "source": "Nan Hua 2022 P5 Weighted Assessment 2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 7u=56, 1u=8, 15×8=120."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Find the ratio of the length of the pencil to the length of the highlighter. Express your answer in simplest form.",
      "answer0": "3 : 2",
      "answer1": "2 : 3",
      "answer2": "6 : 4",
      "answer3": "9 : 8",
      "correct_answer": 0,
      "skill_id": 179,
      "difficulty_id": 2,
      "explanation": "From the ruler, the pencil measures 9 cm (0 to 9) and the highlighter measures 6 cm (2 to 8). Ratio = 9 : 6 = 3 : 2 in simplest form.",
      "hints": ["Read each object's length off the ruler.", "Divide both terms by their highest common factor."],
      "source": "Nan Hua 2022 P5 Weighted Assessment 2 Q2",
      "image_needed": true,
      "image_options": false,
      "image_file": "q2.png",
      "image_page": 1,
      "image_bbox": [0.20, 0.65, 0.78, 0.83],
      "image_loc": "lower half of page 1: pencil and highlighter drawn above a ruler scaled 0 to 10",
      "notes": "Answer key: 3 : 2. Ratio answer → MCQ. Lengths read from the ruler figure."
    },
    {
      "n": 3,
      "type_id": 2,
      "question": "What is the missing number in 39 : 27 = [?] : 18 ?",
      "answer0": "26",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 181,
      "difficulty_id": 2,
      "explanation": "39 : 27 simplifies to 13 : 9 (divide by 3). The second term 18 = 9 × 2, so the first term = 13 × 2 = 26.",
      "hints": ["Simplify 39 : 27 first.", "18 is the second term; scale the first term by the same factor."],
      "source": "Nan Hua 2022 P5 Weighted Assessment 2 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 26."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "The table shows the duration taken by 3 students to complete a race. Cindy: 48 s. Dinesh: 33 s. Ellen: 45 s. Find the ratio of the duration taken by Dinesh to the duration taken by Cindy to the duration taken by Ellen to complete the race. Give your answer in its simplest form.",
      "answer0": "11 : 16 : 15",
      "answer1": "33 : 48 : 45",
      "answer2": "16 : 11 : 15",
      "answer3": "11 : 15 : 16",
      "correct_answer": 0,
      "skill_id": 180,
      "difficulty_id": 2,
      "explanation": "Dinesh : Cindy : Ellen = 33 : 48 : 45. Divide each term by the common factor 3: 11 : 16 : 15.",
      "hints": ["Write the three durations in the order Dinesh : Cindy : Ellen.", "Divide all three terms by their highest common factor."],
      "source": "Nan Hua 2022 P5 Weighted Assessment 2 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 11 : 16 : 15. Table values stated inline; ratio answer → MCQ."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "To make orange juice, the ratio of volume of water to volume of orange syrup used was 7 : 4. If there was 630 ml more water than orange syrup in the mixture, what was the volume of orange syrup used? [?]",
      "answer0": "840",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 182,
      "difficulty_id": 2,
      "explanation": "Water exceeds syrup by 7 - 4 = 3 units = 630 ml, so 1 unit = 210 ml. Orange syrup = 4 units = 4 × 210 = 840 ml.",
      "hints": ["The difference 7 - 4 = 3 units equals 630 ml.", "Syrup is 4 units."],
      "source": "Nan Hua 2022 P5 Weighted Assessment 2 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 3u=630, 1u=210, 4u=840 ml. Answer in ml."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "A string of length 2 m was cut into three pieces A, B and C. The length of string A to the length of string B was 2 : 5. The length of string C was 60 cm. What was the ratio of length of string A to length of string B to length of string C?",
      "answer0": "2 : 5 : 3",
      "answer1": "2 : 5 : 6",
      "answer2": "4 : 10 : 3",
      "answer3": "1 : 2 : 3",
      "correct_answer": 0,
      "skill_id": 183,
      "difficulty_id": 3,
      "explanation": "Total = 2 m = 200 cm. A + B = 200 - 60 = 140 cm = 7 units (2 + 5), so 1 unit = 20 cm. A = 2u = 40 cm, B = 5u = 100 cm, C = 60 cm. A : B : C = 40 : 100 : 60 = 4 : 10 : 6 = 2 : 5 : 3.",
      "hints": ["Convert 2 m to cm and subtract string C to get A + B.", "A + B is 7 units; find 1 unit, then simplify A : B : C."],
      "source": "Nan Hua 2022 P5 Weighted Assessment 2 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 2 : 5 : 3. Ratio answer → MCQ."
    },
    {
      "n": 7,
      "type_id": 0,
      "question": "The ratio of the number of women to the total number of passengers on a plane was 3 : 13. There were 38 more men than women and there were equal number of men and children on the plane. Decide whether each statement is True, False or Not possible to tell. a) There were 190 men on the plane. b) There were equal number of males and females on the plane.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 183,
      "difficulty_id": 3,
      "explanation": "Women = 3 units, total = 13 units, so men + children = 10 units shared equally = 5 units each. Men - women = 5u - 3u = 2u = 38, so 1u = 19. Men = 5 × 19 = 95 (NOT 190, so (a) is False). Females = women + female children; males = men + male children — the split of children by sex is unknown, so (b) is Not possible to tell. Printed key ticks True for both rows but the worked figures contradict (a); interactive tick-table format is not served regardless.",
      "hints": [],
      "source": "Nan Hua 2022 P5 Weighted Assessment 2 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "type_id 0 — True/False/Not-possible-to-tell tick table, an interactive match format with no app question type, SKIPPED on insert. Printed answer key shows a tick in the first column for both rows a) and b). NOTE: key marks (a) True but 1u=19 gives men=95, not 190 (190 would need men=10u); flagging the apparent key inconsistency."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "There are some blueberries in a box. For every 8 good blueberries, there are 3 rotten ones. There are 40 good blueberries. How many blueberries are there altogether in the box? [?]",
      "answer0": "55",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 183,
      "difficulty_id": 2,
      "explanation": "Good : rotten = 8 : 3. 8 units = 40 good, so 1 unit = 5. Rotten = 3 units = 15. Total = 40 + 15 = 55 blueberries.",
      "hints": ["8 units equal 40 good blueberries; find 1 unit.", "Total = good + rotten."],
      "source": "Nan Hua 2022 P5 Weighted Assessment 2 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 8u=40, 1u=5, 3u=15 rotten, total 55."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "In a bakery, the ratio of the mass of flour used to the mass of butter used to make pastries each day is 5 : 2. If 235.7 kg of flour is used each day, how many kilograms of butter is used each day? Give your answer in kilograms correct to 1 decimal place. [?]",
      "answer0": "94.3",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 182,
      "difficulty_id": 2,
      "explanation": "Flour : butter = 5 : 2. 5 units = 235.7 kg, so 1 unit = 47.14 kg. Butter = 2 units = 94.28 kg ≈ 94.3 kg (1 decimal place).",
      "hints": ["5 units equal 235.7 kg of flour; find 1 unit.", "Butter is 2 units; round to 1 decimal place."],
      "source": "Nan Hua 2022 P5 Weighted Assessment 2 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 1u=47.14, 2u=94.28 ≈ 94.3 kg. Answer in kg."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "A rope was cut into 2 pieces in the ratio 7 : 8. The shorter piece was further cut into two pieces in the ratio 5 : 2 with the shortest piece being 12.4 m. What was the length of the rope at the start before it was cut? [?]",
      "answer0": "93",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 183,
      "difficulty_id": 3,
      "explanation": "The shorter of the first cut is 7 parts. It is re-cut 5 : 2, so the shortest piece is 2 of those parts = 12.4 m, giving 1 part = 6.2 m. The whole rope is 7 + 8 = 15 of these parts, so 15 × 6.2 = 93 m.",
      "hints": ["The shortest piece (2 parts) is 12.4 m; find 1 part.", "The whole rope is 7 + 8 = 15 parts of the same size."],
      "source": "Nan Hua 2022 P5 Weighted Assessment 2 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 2u=12.4m, 1u=6.2m, 6.2×15=93m. Answer in m."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Shop X had 125 bags and Shop Y had 68 bags. After both shops sold the same number of bags, the ratio of the number of bags that remained in Shop Y to the number of bags that remained in Shop X was 2 : 5. a) What was the number of bags sold in each shop? [?] b) What was the total number of bags left in both shops? [?]",
      "answer0": "30",
      "answer1": "133",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 183,
      "difficulty_id": 3,
      "explanation": "The difference between the shops stays 125 - 68 = 57, which equals 5 - 2 = 3 units of the remaining ratio, so 1 unit = 19. Remaining: Y = 2u = 38, X = 5u = 95. Bags sold in each shop = 68 - 38 = 30 (or 125 - 95 = 30). b) Total left = 5u + 2u = 7 units = 7 × 19 = 133 bags.",
      "hints": ["The difference 125 - 68 = 57 is unchanged after equal numbers are sold; it equals 5 - 2 = 3 units.", "Sold = original minus remaining; total left = (5 + 2) units."],
      "source": "Nan Hua 2022 P5 Weighted Assessment 2 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: a) 1u=19, sold=68-38=30 each; b) 7u=133 left. Both answers are integers → FIB with two [?] (a then b)."
    }
  ]
}