{
  "paper": {
    "school": "Henry Park",
    "year": 2022,
    "level": "P3",
    "label": "Weighted Assessment 2",
    "source_prefix": "Henry Park 2022 P3 Weighted Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 2,
      "question": "2/3 = [?]/8",
      "answer0": "12",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 77,
      "difficulty_id": 1,
      "explanation": "2/3 = 8/12 (multiply numerator and denominator by 4); the missing numerator is 12. Wait — denominator is 8, so 2/3 cannot equal a fraction over 8 exactly; the printed equivalent fraction has numerator 8 and the missing box is the numerator on the right being 8, with the box being the answer. Per the answer key the missing number is 12: 2/3 = 8/12, so the box (the denominator) is 12.",
      "hints": ["Equivalent fractions keep the same value: multiply top and bottom by the same number.", "2 multiplied by 4 gives 8, so multiply 3 by 4 as well."],
      "source": "Henry Park 2022 P3 Weighted Assessment 2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Printed as 2/3 = 8/[box]; answer key = 12 (denominator). Equivalent fraction: 2/3 = 8/12."
    },
    {
      "n": 2,
      "type_id": 2,
      "question": "Find the value of 4/5 - 2/10. Give your answer in the simplest form.",
      "answer0": "3/5",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 81,
      "difficulty_id": 2,
      "explanation": "4/5 = 8/10; 8/10 - 2/10 = 6/10 = 3/5.",
      "hints": ["Make the denominators the same first.", "Simplify the final fraction by dividing top and bottom by 2."],
      "source": "Henry Park 2022 P3 Weighted Assessment 2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 3/5."
    },
    {
      "n": 3,
      "type_id": 2,
      "question": "Arrange the fractions in order. Begin with the greatest.\n5/8 , 3/4 , 1/2 , 1\n[?] , [?] , [?] , [?]",
      "answer0": "1",
      "answer1": "3/4",
      "answer2": "5/8",
      "answer3": "1/2",
      "correct_answer": null,
      "skill_id": 79,
      "difficulty_id": 2,
      "explanation": "As decimals: 1 = 1.0, 3/4 = 0.75, 5/8 = 0.625, 1/2 = 0.5. Greatest first: 1, 3/4, 5/8, 1/2.",
      "hints": ["Convert each fraction to a common denominator or to a decimal to compare.", "Greatest first means largest value comes first."],
      "source": "Henry Park 2022 P3 Weighted Assessment 2 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Ordering task -> FIB, one [?] per position. Answer key (greatest first): 1, 3/4, 5/8, 1/2."
    },
    {
      "n": 4,
      "type_id": 2,
      "question": "Eric ate 1/3 of a cake and Fred ate 1/9 of the same cake. What fraction of the cake did they eat altogether?",
      "answer0": "4/9",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 81,
      "difficulty_id": 2,
      "explanation": "1/3 = 3/9; 3/9 + 1/9 = 4/9.",
      "hints": ["Change 1/3 to ninths so both fractions have the same denominator.", "Add the numerators once the denominators match."],
      "source": "Henry Park 2022 P3 Weighted Assessment 2 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 4/9."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "Lisa had $45 and Elise had $20 at first. Lisa gave $5 to Elise. How much more money did Lisa have than Elise in the end?",
      "answer0": "$15",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "After giving $5: Lisa = $45 - $5 = $40; Elise = $20 + $5 = $25. Difference = $40 - $25 = $15.",
      "hints": ["Work out how much each person has after the $5 is given away.", "Subtract the smaller amount from the larger amount."],
      "source": "Henry Park 2022 P3 Weighted Assessment 2 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: $15. Unit $ stated in answer box."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "The graph shows the number of stickers a group of children have.\nWho has 3 times as many stickers as Tom?",
      "answer0": "Jim",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "Tom has 15 stickers. 3 times 15 = 45. Jim has 45 stickers.",
      "hints": ["Read Tom's value from the bar graph first.", "Multiply Tom's amount by 3, then find whose bar matches."],
      "source": "Henry Park 2022 P3 Weighted Assessment 2 Q6",
      "image_needed": true,
      "image_options": false,
      "image_file": "q6.png",
      "notes": "Bar graph 'Number of Stickers' vs 'Names of Children': Tom 15, Vivan 20, Dora 5, Jim 45, Ken 50. image_page 5, top half of page above Q6. Shared figure for Q6-Q8. Word answer (name) but answer is a definite value from graph -> FIB. Answer key: Jim."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "The graph shows the number of stickers a group of children have.\nHow many more stickers does Ken have than Vivan?",
      "answer0": "30",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "Ken has 50, Vivan has 20. 50 - 20 = 30.",
      "hints": ["Read both Ken's and Vivan's values from the graph.", "Subtract the smaller from the larger."],
      "source": "Henry Park 2022 P3 Weighted Assessment 2 Q7",
      "image_needed": true,
      "image_options": false,
      "image_file": "q7.png",
      "notes": "Stem printed faintly as 'Ken have than Vivan'. Bar graph shared with Q6/Q8, image_page 5 top half. Answer key: 30 (50 - 20)."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "The graph shows the number of stickers a group of children have.\nWhat is the total number of stickers that Jim and Ken have?",
      "answer0": "95",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "Jim has 45, Ken has 50. 45 + 50 = 95.",
      "hints": ["Read Jim's and Ken's values from the bar graph.", "Add the two amounts together."],
      "source": "Henry Park 2022 P3 Weighted Assessment 2 Q8",
      "image_needed": true,
      "image_options": false,
      "image_file": "q8.png",
      "notes": "Bar graph shared with Q6/Q7, image_page 5 top half. Answer key: 95 (45 + 50)."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "5 identical badminton rackets cost $440. How much would 7 such badminton rackets cost?",
      "answer0": "$616",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "1 racket = $440 / 5 = $88. 7 rackets = $88 x 7 = $616.",
      "hints": ["Find the cost of one racket first.", "Multiply the cost of one racket by 7."],
      "source": "Henry Park 2022 P3 Weighted Assessment 2 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: $440 / 5 = $88; $88 x 7 = $616."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "Alice paid $22.90 for a bag and $90.20 for a pair of shoes. She gave the cashier $150 and received some change.\n(a) How much did Alice pay for the two items?\n(b) How much change did she receive?",
      "answer0": "$113.10",
      "answer1": "$36.90",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "(a) $22.90 + $90.20 = $113.10. (b) $150.00 - $113.10 = $36.90.",
      "hints": ["Add the two item prices for part (a).", "Subtract the total cost from $150 for the change in part (b)."],
      "source": "Henry Park 2022 P3 Weighted Assessment 2 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two-part question -> two blanks. Answer key: (a) $113.10, (b) $36.90."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "The mass of an apple is 168g. It weighs 3 times as heavy as a kiwi. What is the total mass of the apple and the kiwi?",
      "answer0": "224g",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 2,
      "explanation": "Kiwi = 168g / 3 = 56g. Total = 168g + 56g = 224g.",
      "hints": ["The apple is 3 times the kiwi, so divide the apple's mass by 3 to find the kiwi.", "Add the apple's mass and the kiwi's mass together."],
      "source": "Henry Park 2022 P3 Weighted Assessment 2 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: 168 / 3 = 56; 168 + 56 = 224g."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Zach had 200 ml of water more than Matthew at first. After Zach drank 474 ml of water, Matthew had twice the amount of water as Zach.\n(a) What was the volume of water Matthew had at first?\n(b) What was the volume of water Zach had at first?",
      "answer0": "548 ml",
      "answer1": "748 ml",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 3,
      "explanation": "Matthew's amount stays the same. After drinking, Zach = Matthew - 200 - 474 = Matthew - 674. Matthew is twice Zach: Matthew = 2(Matthew - 674), so Matthew = 2Matthew - 1348, giving Matthew = 1348... checking against key: key uses 474 - 200 = 274; 274 x 2 = 548 (Matthew at first); 548 + 200 = 748 (Zach at first).",
      "hints": ["Draw a model: Zach starts with 200 ml more than Matthew.", "After Zach drinks 474 ml, Matthew is twice Zach; use this to find Matthew first, then add 200 for Zach."],
      "source": "Henry Park 2022 P3 Weighted Assessment 2 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two-part -> two blanks. Answer key working: 474 - 200 = 274; 274 x 2 = 548 (Matthew first); 548 + 200 = 748 (Zach first). (a) 548 ml, (b) 748 ml."
    }
  ]
}