{
  "paper": {
    "school": "Nanyang Primary School",
    "year": 2024,
    "level": "P4",
    "label": "Term 2 Review",
    "source_prefix": "Nanyang 2024 P4 Term 2 Review",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "What fraction of the hearts are shaded? Express your answer in its simplest form.",
      "answer0": "\\(\\dfrac{1}{5}\\)",
      "answer1": "\\(\\dfrac{2}{10}\\)",
      "answer2": "\\(\\dfrac{4}{5}\\)",
      "answer3": "\\(\\dfrac{8}{10}\\)",
      "correct_answer": 2,
      "skill_id": 120,
      "difficulty_id": 1,
      "explanation": "8 of the 10 hearts are shaded, so the fraction is \\(\\dfrac{8}{10}\\). Simplify by dividing numerator and denominator by 2: \\(\\dfrac{8\\div 2}{10\\div 2}=\\dfrac{4}{5}\\). Answer: \\(\\dfrac{4}{5}\\).",
      "hints": ["Count the shaded hearts and the total number of hearts.", "Divide both the top and bottom of \\(\\dfrac{8}{10}\\) by their highest common factor, 2."],
      "source": "Nanyang 2024 P4 Term 2 Review Q1",
      "image_needed": true,
      "image_options": false,
      "image_file": "q1.png",
      "image_page": 1,
      "image_bbox": [0.39, 0.52, 0.66, 0.62],
      "image_loc": "row of 10 hearts (8 filled, 2 outline) centred below the question",
      "notes": "8 of 10 hearts shaded; answer is a fraction so kept as MCQ."
    },
    {
      "n": 2,
      "type_id": 2,
      "question": "The graph shows the number of 20-cent coins James saved in 5 months. How many 20-cent coins did James save in May?",
      "answer0": "58",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 1,
      "explanation": "Read the line graph at the May point. The value is 58. Answer: 58.",
      "hints": ["Find 'May' on the horizontal axis.", "Read across to the vertical axis to find the number of coins."],
      "source": "Nanyang 2024 P4 Term 2 Review Q2",
      "image_needed": true,
      "image_options": false,
      "image_file": "q2.png",
      "image_page": 2,
      "image_bbox": [0.17, 0.1, 0.84, 0.43],
      "image_loc": "line graph at top of page; months Jan-May on x-axis, number of 20-cent coins on y-axis",
      "notes": "Original was MCQ (options 54/58/59/60); converted to FIB since answer 58 is an integer. Graph shared with Q3."
    },
    {
      "n": 3,
      "type_id": 2,
      "question": "The graph shows the number of 20-cent coins James saved in 5 months. How many more 20-cent coins did James save in February than in April?",
      "answer0": "24",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 2,
      "explanation": "February value = 74, April value = 50. Difference = 74 − 50 = 24. Answer: 24.",
      "hints": ["Read the graph value for February and for April.", "Subtract the April amount from the February amount."],
      "source": "Nanyang 2024 P4 Term 2 Review Q3",
      "image_needed": true,
      "image_options": false,
      "image_file": "q3.png",
      "image_page": 2,
      "image_bbox": [0.17, 0.1, 0.84, 0.43],
      "image_loc": "same line graph as Q2 at top of page",
      "notes": "Original MCQ (10/14/22/24); converted to FIB since 24 is an integer. Feb=74, Apr=50 from worked key."
    },
    {
      "n": 4,
      "type_id": 2,
      "question": "The table shows the number of apples and oranges sold by two fruit stores. Store A: 37 oranges, 56 apples. Store B: ? oranges, 45 apples. Total: 70 oranges, 101 apples.<br>(a) How many oranges did store B sell? [?]<br>(b) How many more apples than oranges did store A sell? [?]",
      "answer0": "33",
      "answer1": "19",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 118,
      "difficulty_id": 2,
      "explanation": "(a) Store B oranges = total oranges − Store A oranges = 70 − 37 = 33. (b) Store A apples − Store A oranges = 56 − 37 = 19. Answers: (a) 33, (b) 19.",
      "hints": ["For (a), subtract Store A's oranges from the total oranges.", "For (b), find the difference between Store A's apples and oranges."],
      "source": "Nanyang 2024 P4 Term 2 Review Q4",
      "image_needed": true,
      "image_options": false,
      "image_file": "q4.png",
      "image_page": 3,
      "image_bbox": [0.26, 0.2, 0.8, 0.31],
      "image_loc": "3-column table (Store / oranges sold / apples sold) below the question",
      "notes": "Two integer sub-parts combined as multi-blank FIB. Table data also given in stem for accessibility."
    },
    {
      "n": 5,
      "type_id": 2,
      "question": "There are 40 students in the class. \\(\\dfrac{3}{8}\\) of them are boys. How many girls are there in the class?",
      "answer0": "25",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 120,
      "difficulty_id": 2,
      "explanation": "Boys = \\(\\dfrac{3}{8}\\) of 40, so girls are the other \\(\\dfrac{5}{8}\\). 8 units = 40, 1 unit = 40 ÷ 8 = 5, girls = 5 units = 5 × 5 = 25. Answer: 25.",
      "hints": ["If \\(\\dfrac{3}{8}\\) are boys, what fraction are girls?", "Find the value of 1 unit (40 ÷ 8), then multiply by the number of girl units."],
      "source": "Nanyang 2024 P4 Term 2 Review Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer 25 is an integer."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "Express your answer as a mixed number in its simplest form. \\(\\dfrac{4}{7}+\\dfrac{1}{2}=\\)",
      "answer0": "\\(1\\dfrac{1}{14}\\)",
      "answer1": "\\(\\dfrac{5}{9}\\)",
      "answer2": "\\(1\\dfrac{5}{14}\\)",
      "answer3": "\\(\\dfrac{15}{7}\\)",
      "correct_answer": 0,
      "skill_id": 121,
      "difficulty_id": 2,
      "explanation": "Common denominator 14: \\(\\dfrac{4}{7}=\\dfrac{8}{14}\\) and \\(\\dfrac{1}{2}=\\dfrac{7}{14}\\). Sum = \\(\\dfrac{8}{14}+\\dfrac{7}{14}=\\dfrac{15}{14}=1\\dfrac{1}{14}\\). Answer: \\(1\\dfrac{1}{14}\\).",
      "hints": ["Rewrite both fractions with a common denominator of 14.", "Add the numerators, then convert the improper fraction to a mixed number."],
      "source": "Nanyang 2024 P4 Term 2 Review Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Q6(a) only. Answer is a mixed number so kept as MCQ. Q6(b) split out as Q for fraction answer (see notes); rendered separately."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "Sarah ran \\(\\dfrac{4}{5}\\) km on Monday. She ran \\(\\dfrac{3}{4}\\) km less on Tuesday than on Monday. What was the total distance she ran on Monday and on Tuesday?",
      "answer0": "\\(\\dfrac{17}{20}\\) km",
      "answer1": "\\(\\dfrac{1}{20}\\) km",
      "answer2": "\\(1\\dfrac{11}{20}\\) km",
      "answer3": "\\(\\dfrac{31}{20}\\) km",
      "correct_answer": 0,
      "skill_id": 122,
      "difficulty_id": 3,
      "explanation": "Tuesday distance = \\(\\dfrac{4}{5}-\\dfrac{3}{4}=\\dfrac{16}{20}-\\dfrac{15}{20}=\\dfrac{1}{20}\\) km. Total = \\(\\dfrac{16}{20}+\\dfrac{1}{20}=\\dfrac{17}{20}\\) km. Answer: \\(\\dfrac{17}{20}\\) km.",
      "hints": ["First find Tuesday's distance: Monday minus \\(\\dfrac{3}{4}\\).", "Then add Monday's and Tuesday's distances using a common denominator of 20."],
      "source": "Nanyang 2024 P4 Term 2 Review Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer is a fraction so kept as MCQ."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "There are 4 bags, A, B, C and D. The masses of the 4 bags are \\(\\dfrac{15}{4}\\) kg, \\(3\\dfrac{2}{3}\\) kg, \\(\\dfrac{11}{6}\\) kg and \\(\\dfrac{1}{4}\\) kg. Bag A is the lightest. The mass of Bag B is between 1 kg and 2 kg. Bag C is heavier than Bag D. What is the mass of Bag D?",
      "answer0": "\\(3\\dfrac{2}{3}\\) kg",
      "answer1": "\\(3\\dfrac{3}{4}\\) kg",
      "answer2": "\\(1\\dfrac{5}{6}\\) kg",
      "answer3": "\\(\\dfrac{1}{4}\\) kg",
      "correct_answer": 0,
      "skill_id": 119,
      "difficulty_id": 3,
      "explanation": "Bag A (lightest) = \\(\\dfrac{1}{4}\\) kg. Bag B (between 1 and 2 kg) = \\(\\dfrac{11}{6}=1\\dfrac{5}{6}\\) kg. The remaining two masses are \\(\\dfrac{15}{4}=3\\dfrac{3}{4}\\) kg and \\(3\\dfrac{2}{3}\\) kg. Compare: \\(3\\dfrac{3}{4}=3\\dfrac{9}{12}\\) and \\(3\\dfrac{2}{3}=3\\dfrac{8}{12}\\), so \\(3\\dfrac{3}{4}\\) is Bag C (heavier) and Bag D = \\(3\\dfrac{2}{3}\\) kg. Answer: \\(3\\dfrac{2}{3}\\) kg.",
      "hints": ["Identify Bag A (lightest) and Bag B (between 1 and 2 kg) first.", "Of the two remaining masses, Bag C is the heavier one, so Bag D is the lighter."],
      "source": "Nanyang 2024 P4 Term 2 Review Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Four masses listed in stem. Answer is a mixed number so kept as MCQ."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "Denise baked 36 chocolate muffins and some blueberry muffins. \\(\\dfrac{2}{9}\\) of the muffins baked were chocolate muffins and the rest were blueberry muffins.<br>(a) How many blueberry muffins did she bake? [?]<br>(b) How many more blueberry muffins than chocolate muffins did she bake? [?]",
      "answer0": "126",
      "answer1": "90",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 122,
      "difficulty_id": 3,
      "explanation": "(a) \\(\\dfrac{2}{9}\\) of the muffins are chocolate = 36, so 2 units = 36, 1 unit = 18. Total = 9 units = 162. Blueberry = 7 units = 18 × 7 = 126. (b) 126 − 36 = 90. Answers: (a) 126, (b) 90.",
      "hints": ["2 units (chocolate) = 36 muffins, so find 1 unit, then the 7 blueberry units.", "For (b), subtract the chocolate count from the blueberry count."],
      "source": "Nanyang 2024 P4 Term 2 Review Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two integer sub-parts combined as multi-blank FIB."
    }
  ]
}
