{
 "paper": {
  "school": "Maha Bodhi",
  "year": 2023,
  "level": "P4",
  "label": "Weighted Assessment 1",
  "source_prefix": "Maha Bodhi 2023 P4 Weighted Assessment 1",
  "has_answer_key": true
 },
 "questions": [
  {
   "n": 1,
   "type_id": 1,
   "question": "What is the value of the digit 9 in 69 071?",
   "answer0": "90",
   "answer1": "900",
   "answer2": "9000",
   "answer3": "90 000",
   "correct_answer": 2,
   "skill_id": 105,
   "difficulty_id": 1,
   "explanation": "In 69 071 the digit 9 is in the thousands place, so its value is 9 thousands = 9000.",
   "hints": [
    "Identify the place of the digit 9: ten-thousands, thousands, hundreds, tens or ones.",
    "9 sits in the thousands column, so its value is 9 × 1000."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 1 Q1",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 3 (9000), 0-based index 2."
  },
  {
   "n": 2,
   "type_id": 1,
   "question": "Which angle is greater than 90° but smaller than 180°?",
   "answer0": "∠a",
   "answer1": "∠b",
   "answer2": "∠c",
   "answer3": "∠d",
   "correct_answer": 0,
   "skill_id": 140,
   "difficulty_id": 2,
   "explanation": "An angle between 90° and 180° is an obtuse angle. From the figure, ∠a is the obtuse angle (b is a right angle, c is reflex, d is acute).",
   "hints": [
    "An angle between 90° and 180° is called an obtuse angle.",
    "Compare each marked angle to a right angle and a straight line."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 1 Q2",
   "image_needed": true,
   "image_options": false,
   "image_file": "q2.png",
   "image_page": 1,
   "image_bbox": [
    0.3,
    0.66,
    0.62,
    0.8
   ],
   "image_loc": "diagram of two intersecting lines with angles a, b, c, d labelled, below the question on page 1",
   "notes": "Key: option 1 (∠a), 0-based index 0. Figure shows angles a/b/c/d at an intersection."
  },
  {
   "n": 3,
   "type_id": 1,
   "question": "Round 28 400 to the nearest thousand.",
   "answer0": "20 000",
   "answer1": "28 000",
   "answer2": "29 000",
   "answer3": "30 000",
   "correct_answer": 1,
   "skill_id": 109,
   "difficulty_id": 1,
   "explanation": "Look at the hundreds digit, 4. Since 4 < 5, round down: 28 400 ≈ 28 000.",
   "hints": [
    "To round to the nearest thousand, look at the hundreds digit.",
    "If the hundreds digit is less than 5, round down."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 1 Q3",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 2 (28 000), 0-based index 1."
  },
  {
   "n": 4,
   "type_id": 1,
   "question": "How many common multiples do 4 and 6 have between 20 and 40?",
   "answer0": "1",
   "answer1": "2",
   "answer2": "3",
   "answer3": "4",
   "correct_answer": 1,
   "skill_id": 115,
   "difficulty_id": 2,
   "explanation": "Common multiples of 4 and 6 are multiples of their LCM, 12: 12, 24, 36, 48 ... Between 20 and 40 the common multiples are 24 and 36, so there are 2.",
   "hints": [
    "A common multiple of 4 and 6 is a multiple of the LCM of 4 and 6.",
    "LCM of 4 and 6 is 12; list its multiples between 20 and 40."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 1 Q4",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 2 (count = 2), 0-based index 1. Common multiples 24 and 36."
  },
  {
   "n": 5,
   "type_id": 1,
   "question": "Jia Qi is facing east. She makes a $$\\frac{1}{2}$$-turn and then a $$\\frac{3}{4}$$-turn clockwise. She has to turn through an angle of [?] in an anti-clockwise direction to face east again.",
   "answer0": "360°",
   "answer1": "270°",
   "answer2": "180°",
   "answer3": "90°",
   "correct_answer": 3,
   "skill_id": 141,
   "difficulty_id": 3,
   "explanation": "A $$\\frac{1}{2}$$-turn is 180° and a $$\\frac{3}{4}$$-turn is 270°, total 450° clockwise. 450° = 360° + 90°, so the net rotation is 90° clockwise. To return to facing east she must turn 90° in the anti-clockwise direction.",
   "hints": [
    "A $$\\frac{1}{2}$$-turn = 180° and a $$\\frac{3}{4}$$-turn = 270°.",
    "Total clockwise turn = 450°; subtract 360° (a full turn) to find the net turn."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 1 Q5",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option 4 (90°), 0-based index 3. The blank in the stem is the answer being selected; kept as [?] in stem for context but graded as MCQ."
  },
  {
   "n": 6,
   "type_id": 2,
   "question": "What is the size of ∠x? [?]",
   "answer0": "113",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 140,
   "difficulty_id": 2,
   "explanation": "Measure ∠x with a protractor. The angle between the horizontal line and the slanted ray measures 113°.",
   "hints": [
    "Use a protractor placed on the horizontal base line.",
    "Read the scale where the slanted ray crosses; the angle is obtuse, just over 90°."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 1 Q6",
   "image_needed": true,
   "image_options": false,
   "image_file": "q6.png",
   "image_page": 3,
   "image_bbox": [
    0.22,
    0.21,
    0.78,
    0.42
   ],
   "image_loc": "angle diagram (horizontal line with a slanted ray, angle x marked) below the question on page 3",
   "notes": "Key: 113°. Answer unit is degrees; FIB answer kept as plain 113."
  },
  {
   "n": 7,
   "type_id": 2,
   "question": "Divide 6394 by 7. What is the remainder? [?]",
   "answer0": "3",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 117,
   "difficulty_id": 2,
   "explanation": "6394 ÷ 7 = 913 remainder 3 (since 7 × 913 = 6391 and 6394 − 6391 = 3).",
   "hints": [
    "Use long division: divide 6394 by 7 step by step.",
    "Multiply the quotient 913 by 7 and subtract from 6394 to find the remainder."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 1 Q7",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: remainder 3."
  },
  {
   "n": 8,
   "type_id": 2,
   "question": "List all the common factors of 12 and 16. [?]",
   "answer0": "1, 2, 4",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 113,
   "difficulty_id": 2,
   "explanation": "Factors of 12: 1, 2, 3, 4, 6, 12. Factors of 16: 1, 2, 4, 8, 16. The common factors are 1, 2 and 4.",
   "hints": [
    "List the factors of 12 and the factors of 16 separately.",
    "The common factors are the numbers that appear in both lists."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 1 Q8",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 1, 2, 4. Single-blank list answer."
  },
  {
   "n": 9,
   "type_id": 1,
   "question": "Sonia was standing at point X. She turned through an angle of 180° and made another $$\\frac{1}{4}$$-turn in an anti-clockwise direction. She faced the fire station in the end. Where was Sonia facing at first?",
   "answer0": "Hawker centre",
   "answer1": "Cinema",
   "answer2": "Supermarket",
   "answer3": "Library",
   "correct_answer": 0,
   "skill_id": 142,
   "difficulty_id": 3,
   "explanation": "Sonia ends facing the Fire station (north). Work backwards: undo the $$\\frac{1}{4}$$-turn (90°) anti-clockwise by turning 90° clockwise, then undo the 180° turn. Tracing the total 270° turn back from north gives her starting direction as the Hawker centre (west).",
   "hints": [
    "Find the final facing direction first: the Fire station is north.",
    "Reverse the turns — undo the 90° anti-clockwise turn, then the 180° turn — to find the start."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 1 Q9",
   "image_needed": true,
   "image_options": false,
   "image_file": "q9.png",
   "image_page": 4,
   "image_bbox": [
    0.15,
    0.22,
    0.92,
    0.52
   ],
   "image_loc": "8-point compass-style diagram around point X labelling Fire station, Supermarket, School, Hawker centre, Cinema, Bus interchange, Library, Hospital, with a North arrow at right, on page 4",
   "notes": "Key: Hawker centre. Made MCQ from the eight labelled locations; correct option index 0. Other distractors taken from the diagram labels."
  },
  {
   "n": 10,
   "type_id": 2,
   "question": "Alex has a number card. The number on the card is a factor of 20 and a multiple of 4. It is greater than 5. What is the number on Alex's card? [?]",
   "answer0": "20",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 111,
   "difficulty_id": 2,
   "explanation": "Factors of 20: 1, 2, 4, 5, 10, 20. Multiples of 4 among these: 4 and 20. The one greater than 5 is 20.",
   "hints": [
    "List the factors of 20.",
    "From those, pick the one that is a multiple of 4 and greater than 5."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 1 Q10",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 20."
  },
  {
   "n": 11,
   "type_id": 2,
   "question": "Jenny is between 20 and 45 years old. Her present age can be divided exactly by 6. In 4 years' time, her age can be divided exactly by 5. How old is Jenny now? [?]",
   "answer0": "36",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Multiples of 6 between 20 and 45: 24, 30, 36, 42. Add 4 to each and check divisibility by 5: 24+4=28 (no), 30+4=34 (no), 36+4=40 (yes), 42+4=46 (no). So Jenny is 36 years old now.",
   "hints": [
    "List the multiples of 6 between 20 and 45.",
    "Add 4 to each and see which result is a multiple of 5."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 1 Q11",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 36 (worked: 36 + 4 = 40, divisible by 5)."
  },
  {
   "n": 12,
   "type_id": 2,
   "question": "Jason has 284 stamps. He has 4 times as many stamps as Kim. Leah has twice as many stamps as Kim. How many stamps do they have altogether? [?]",
   "answer0": "497",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 3,
   "explanation": "Jason = 284. Kim = 284 ÷ 4 = 71. Leah = 71 × 2 = 142. Altogether = 284 + 71 + 142 = 497 stamps.",
   "hints": [
    "Find Kim's stamps first: Jason has 4 times Kim's, so Kim = 284 ÷ 4.",
    "Then find Leah (twice Kim) and add all three amounts."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 1 Q12",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 497 stamps."
  },
  {
   "n": 13,
   "type_id": 2,
   "question": "Mrs Tan has 81 trays of eggs. Each tray has 8 eggs. She arranges all the eggs equally into 9 baskets. (a) How many eggs are there altogether? (b) How many eggs are there in each basket? [?] [?]",
   "answer0": "648",
   "answer1": "72",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 118,
   "difficulty_id": 2,
   "explanation": "(a) Total eggs = 81 trays × 8 eggs = 648 eggs. (b) Eggs per basket = 648 ÷ 9 = 72 eggs.",
   "hints": [
    "(a) Multiply the number of trays by the eggs per tray.",
    "(b) Divide the total number of eggs by the number of baskets."
   ],
   "source": "Maha Bodhi 2023 P4 Weighted Assessment 1 Q13",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: (a) 648 eggs, (b) 72 eggs. Two blanks: answer0 = part (a), answer1 = part (b)."
  }
 ]
}