{
  "paper": {
    "school": "Catholic High",
    "year": 2024,
    "level": "P5",
    "label": "Weighted Assessment 1",
    "source_prefix": "Catholic High 2024 P5 Weighted Assessment 1",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "What is the value of the digit 5 in 654 300 ?",
      "answer0": "50",
      "answer1": "500",
      "answer2": "5000",
      "answer3": "50 000",
      "correct_answer": 3,
      "skill_id": 149,
      "difficulty_id": 1,
      "explanation": "In 654 300 the digit 5 is in the ten-thousands place, so its value is 5 × 10 000 = 50 000.",
      "hints": ["Identify which place the digit 5 sits in.", "654 300: the 5 is in the ten-thousands column."],
      "source": "Catholic High 2024 P5 Weighted Assessment 1 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: option 4."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Find the value of 124 000 ÷ 400",
      "answer0": "31",
      "answer1": "310",
      "answer2": "3100",
      "answer3": "31 000",
      "correct_answer": 1,
      "skill_id": 151,
      "difficulty_id": 1,
      "explanation": "124 000 ÷ 400 = 1240 ÷ 4 = 310.",
      "hints": ["Divide both numbers by 100 first: 1240 ÷ 4.", "1240 ÷ 4 = 310."],
      "source": "Catholic High 2024 P5 Weighted Assessment 1 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: option 2."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "A banner has a length of 4 m and a breadth of \\(\\dfrac{7}{8}\\) m. What is the area of the banner?",
      "answer0": "\\(1\\dfrac{3}{8}\\) m²",
      "answer1": "\\(3\\dfrac{1}{2}\\) m²",
      "answer2": "\\(4\\dfrac{7}{8}\\) m²",
      "answer3": "\\(9\\dfrac{3}{4}\\) m²",
      "correct_answer": 1,
      "skill_id": 163,
      "difficulty_id": 2,
      "explanation": "Area = length × breadth = 4 × \\(\\dfrac{7}{8}\\) = \\(\\dfrac{28}{8}\\) = \\(3\\dfrac{1}{2}\\) m².",
      "hints": ["Area of a rectangle = length × breadth.", "4 × 7/8 = 28/8 = 3½."],
      "source": "Catholic High 2024 P5 Weighted Assessment 1 Q3",
      "image_needed": true,
      "image_options": false,
      "image_file": "q3.png",
      "image_page": 2,
      "image_bbox": [0.36, 0.16, 0.74, 0.24],
      "image_loc": "rectangle banner diagram, upper-middle of page, below the question; 7/8 m label on left side and 4 m label below",
      "notes": "Answer key: option 2."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "5 similar cakes were shared equally among 6 boys. What fraction of a cake did each boy get?",
      "answer0": "\\(\\dfrac{1}{5}\\)",
      "answer1": "\\(\\dfrac{1}{6}\\)",
      "answer2": "\\(\\dfrac{5}{6}\\)",
      "answer3": "\\(\\dfrac{6}{5}\\)",
      "correct_answer": 2,
      "skill_id": 157,
      "difficulty_id": 1,
      "explanation": "Sharing 5 cakes equally among 6 boys: each boy gets 5 ÷ 6 = \\(\\dfrac{5}{6}\\) of a cake.",
      "hints": ["A fraction can represent division: 5 ÷ 6.", "5 ÷ 6 = 5/6."],
      "source": "Catholic High 2024 P5 Weighted Assessment 1 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: option 3."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "Express \\(\\dfrac{9}{7}\\) as a decimal. Correct your answer to 2 decimal places. [?]",
      "answer0": "1.29",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 158,
      "difficulty_id": 2,
      "explanation": "9 ÷ 7 = 1.2857... Rounding to 2 decimal places gives 1.29.",
      "hints": ["Divide 9 by 7.", "1.285... rounds to 1.29 (2 d.p.)."],
      "source": "Catholic High 2024 P5 Weighted Assessment 1 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 1.29."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "(a) Find the value of 580 × 100 [?]<br>(b) Find the value of 3 × (18 − 4) − 12 ÷ 6 [?]",
      "answer0": "58000",
      "answer1": "40",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 155,
      "difficulty_id": 2,
      "explanation": "(a) 580 × 100 = 58 000. (b) 3 × (18 − 4) − 12 ÷ 6 = 3 × 14 − 12 ÷ 6 = 42 − 2 = 40.",
      "hints": ["Multiply by 100 by adding two zeros.", "Brackets first, then × and ÷ before −."],
      "source": "Catholic High 2024 P5 Weighted Assessment 1 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: (a) 58000, (b) 40."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "The sum of Mrs Lim's age and her son's age is 80 years now. Mrs Lim was 4 times as old as her son 5 years ago. How old was Mrs Lim's son 5 years ago? [?]",
      "answer0": "14",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "5 years ago their total age was 80 − 5 × 2 = 80 − 10 = 70. They were in the ratio 4 : 1, i.e. 5 units = 70, so 1 unit = 70 ÷ 5 = 14. The son was 14 years old 5 years ago.",
      "hints": ["Subtract the 5 years from each person's age (10 in total).", "Son : Mum = 1 : 4, so 5 units = 70; son = 70 ÷ 5."],
      "source": "Catholic High 2024 P5 Weighted Assessment 1 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 14 years old."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "Gerald had \\(\\dfrac{8}{9}\\) ℓ of milk. He drank \\(\\dfrac{1}{3}\\) ℓ of the milk on Saturday and \\(\\dfrac{2}{5}\\) ℓ of the milk on Sunday. He threw away the rest of the milk. How much milk was thrown away?",
      "answer0": "\\(\\dfrac{7}{45}\\) ℓ",
      "answer1": "\\(\\dfrac{2}{45}\\) ℓ",
      "answer2": "\\(\\dfrac{11}{45}\\) ℓ",
      "answer3": "\\(\\dfrac{5}{9}\\) ℓ",
      "correct_answer": 0,
      "skill_id": 159,
      "difficulty_id": 2,
      "explanation": "Drank = \\(\\dfrac{1}{3}+\\dfrac{2}{5}=\\dfrac{5}{15}+\\dfrac{6}{15}=\\dfrac{11}{15}\\) ℓ. Common denominator 45: \\(\\dfrac{8}{9}=\\dfrac{40}{45}\\), drank \\(=\\dfrac{33}{45}\\). Thrown away \\(=\\dfrac{40}{45}-\\dfrac{33}{45}=\\dfrac{7}{45}\\) ℓ.",
      "hints": ["Add the two amounts he drank first.", "Subtract the total drunk from 8/9 (use a common denominator)."],
      "source": "Catholic High 2024 P5 Weighted Assessment 1 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 7/45 ℓ. Fraction answer → MCQ. Distractors are plausible miscalculations."
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "Mrs Ng bought \\(\\dfrac{3}{4}\\) kg of salmon. She used \\(\\dfrac{5}{9}\\) of it for lunch and saved the rest for dinner. How much salmon was used for dinner? Give your answer as a fraction in the simplest form.",
      "answer0": "\\(\\dfrac{1}{3}\\) kg",
      "answer1": "\\(\\dfrac{5}{12}\\) kg",
      "answer2": "\\(\\dfrac{4}{9}\\) kg",
      "answer3": "\\(\\dfrac{1}{4}\\) kg",
      "correct_answer": 0,
      "skill_id": 161,
      "difficulty_id": 2,
      "explanation": "Fraction saved for dinner = 1 − \\(\\dfrac{5}{9}\\) = \\(\\dfrac{4}{9}\\). Salmon for dinner = \\(\\dfrac{4}{9}\\times\\dfrac{3}{4}=\\dfrac{12}{36}=\\dfrac{1}{3}\\) kg.",
      "hints": ["The dinner fraction is the part NOT used for lunch: 1 − 5/9.", "Multiply 4/9 by 3/4 and simplify."],
      "source": "Catholic High 2024 P5 Weighted Assessment 1 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 1/3 kg. Fraction answer → MCQ. Distractor 4/9 = the fraction-of-whole step left un-multiplied."
    },
    {
      "n": 10,
      "type_id": 0,
      "question": "There were 625 people in an amusement park. \\(\\dfrac{4}{5}\\) of the people were children and the rest were men and women. Each statement is either true, false or not possible to tell. Tick the correct column. Statement 1: The total number of men and women was \\(\\dfrac{1}{4}\\) of the number of children in the park. Statement 2: There was an equal number of men and women in the park.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 174,
      "difficulty_id": 2,
      "explanation": "Children = 4/5 × 625 = 500; men+women = 125. 125 is 125/500 = 1/4 of children, so Statement 1 is True. The split of the 125 between men and women is unknown, so Statement 2 is False (it cannot be assumed equal) — per the key, False.",
      "hints": [],
      "source": "Catholic High 2024 P5 Weighted Assessment 1 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Interactive tick-the-column (True/False/Not possible) task — no app question type, set type_id 0 (skipped on insert). Answer key: Statement 1 True, Statement 2 False."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "David and Terence each had the same number of cards at first. After David bought 298 cards and Terence bought 56 cards, David had twice the number of cards that Terence had. How many cards did each boy have at first? [?]",
      "answer0": "186",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "Let each boy start with n. Then n + 298 = 2 × (n + 56) = 2n + 112, so n = 298 − 112 = 186. Each boy had 186 cards at first.",
      "hints": ["Both start equal; write David = 2 × Terence after buying.", "n + 298 = 2(n + 56) → n = 186."],
      "source": "Catholic High 2024 P5 Weighted Assessment 1 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 186. (Key shows 242×2=484, 484−298=186 via a units/bar approach.)"
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "John needed to complete booklet A, B and C in an examination. He spent 14 minutes of his time on Booklet A, \\(\\dfrac{3}{8}\\) of his remaining time on Booklet B and the rest of his time on Booklet C. He spent \\(\\dfrac{1}{2}\\) of his total time on Booklet C. How much time did he spend on Booklet B? [?]",
      "answer0": "21",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 165,
      "difficulty_id": 3,
      "explanation": "Booklet C = 1/2 of total time. After Booklet A, remaining time is split B : C = 3/8 : 5/8. Since C = 5/8 of the remaining = 1/2 of total, the remaining time = 4/5 of total, so Booklet A (14 min) = 1/5 of total → total = 70 min. Remaining after A = 70 − 14 = 56 min. Booklet B = 3/8 × 56 = 21 min. (Key: 5 units = 10, 14 ÷ 2 = 7, 7 × 3 = 21 min.)",
      "hints": ["C = 1/2 of total and C = 5/8 of the time after Booklet A.", "Find the total time, then Booklet B = 3/8 of (total − 14)."],
      "source": "Catholic High 2024 P5 Weighted Assessment 1 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 21 mins. Answer is in minutes."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "Amy, Ben and Zoe had $2100 altogether. Ben had $45 less than Amy. The amount of money Zoe had was thrice the total amount of money Amy and Ben had.<br>(a) How much money did Ben have? [?]<br>(b) Zoe gave Amy some of her money so that both of them have equal amount of money. How much money did Zoe have in the end? [?]",
      "answer0": "240",
      "answer1": "930",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "Zoe = 3 × (Amy + Ben), total = 2100, so Amy + Ben = 2100 ÷ 4 = 525 and Zoe = 1575. (a) Ben = Amy − 45, so 2 × Ben + 45 = 525 → Ben = $240 (Amy = $285). (b) Amy + Zoe = 285 + 1575 = 1860; sharing equally, each = 1860 ÷ 2 = $930, so Zoe had $930 in the end.",
      "hints": ["Zoe is 3 of the 4 equal parts of $2100, so Amy + Ben is one part (525).", "(b) 'both' = Amy and Zoe; total their money and halve it."],
      "source": "Catholic High 2024 P5 Weighted Assessment 1 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: (a) $240, (b) $930. Answers in dollars. Key's '920 ÷ 8' line is a transcription typo for 1920 ÷ 8 = 240, but the final $240 is correct (verified: Ben=240, Amy=285, Zoe=1575)."
    }
  ]
}