{
 "paper": {
  "school": "Methodist Girls' School (Primary)",
  "year": 2024,
  "level": "P4",
  "label": "Weighted Assessment 3",
  "source_prefix": "MGS 2024 P4 Weighted Assessment 3",
  "has_answer_key": true
 },
 "questions": [
  {
   "n": 1,
   "type_id": 1,
   "question": "9 tens 4 tenths 7 thousandths = [?]",
   "answer0": "9.047",
   "answer1": "90.47",
   "answer2": "90.047",
   "answer3": "90.407",
   "correct_answer": 3,
   "skill_id": 123,
   "difficulty_id": 2,
   "explanation": "9 tens = 90, 4 tenths = 0.4, 7 thousandths = 0.007. Sum = 90 + 0.4 + 0.007 = 90.407.",
   "hints": [
    "Write each part with its place value: tens, tenths, thousandths.",
    "There are 0 hundredths, so the hundredths digit is 0: 90.407."
   ],
   "source": "MGS 2024 P4 Weighted Assessment 3 Q1",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: option (4) = 90.407"
  },
  {
   "n": 2,
   "type_id": 1,
   "question": "Which of the following statements is correct?",
   "answer0": "QP // PT",
   "answer1": "QT // RS",
   "answer2": "QR ⊥ RS",
   "answer3": "QT ⊥ TS",
   "correct_answer": 2,
   "skill_id": 100,
   "difficulty_id": 2,
   "explanation": "On the square grid, lines QR and RS meet at R forming a right angle, so QR is perpendicular to RS. The other pairs are neither parallel nor perpendicular.",
   "hints": [
    "Perpendicular lines (⊥) meet at a right angle (90°).",
    "Check each pair against the grid lines; QR and RS form a right angle at R."
   ],
   "source": "MGS 2024 P4 Weighted Assessment 3 Q2",
   "image_needed": true,
   "image_options": false,
   "image_file": "q2.png",
   "image_page": 1,
   "image_bbox": [
    0.14,
    0.6,
    0.52,
    0.78
   ],
   "image_loc": "square grid with points P, Q, R, S, T, middle-left of page below the question",
   "notes": "Key: option (3) = QR ⊥ RS. skill 100 (perpendicular and parallel lines, P3 carry-over)"
  },
  {
   "n": 3,
   "type_id": 1,
   "question": "May placed some bunches of balloons along the corridor as decorations for a school event. The bunches of balloons were placed at equal distances from each other. The distance between the 3rd and the 5th bunch of balloons is 3.4 m. What was the distance between the 1st and the 8th bunch of balloons?",
   "answer0": "11.9 m",
   "answer1": "13.6 m",
   "answer2": "23.8 m",
   "answer3": "27.2 m",
   "correct_answer": 0,
   "skill_id": 131,
   "difficulty_id": 2,
   "explanation": "3rd to 5th bunch spans 2 equal gaps = 3.4 m, so 1 gap = 3.4 ÷ 2 = 1.7 m. 1st to 8th bunch spans 7 gaps = 7 × 1.7 = 11.9 m.",
   "hints": [
    "From the 3rd to the 5th bunch there are 2 gaps, not 2 balloons.",
    "1st to 8th = 7 gaps. Multiply one gap (1.7 m) by 7."
   ],
   "source": "MGS 2024 P4 Weighted Assessment 3 Q3",
   "image_needed": true,
   "image_options": false,
   "image_file": "q3.png",
   "image_page": 2,
   "image_bbox": [
    0.36,
    0.18,
    0.78,
    0.3
   ],
   "image_loc": "row of balloon bunches with 3rd, 3.4 m, 5th labels, right of the options",
   "notes": "Key: option (1) = 11.9 m"
  },
  {
   "n": 4,
   "type_id": 2,
   "question": "Express $$4\\frac{7}{20}$$ as a decimal.",
   "answer0": "4.35",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 127,
   "difficulty_id": 1,
   "explanation": "$$\\frac{7}{20}=\\frac{35}{100}=0.35$$. So $$4\\frac{7}{20}=4+0.35=4.35$$.",
   "hints": [
    "Make the denominator 100: multiply 7/20 by 5/5 to get 35/100.",
    "35/100 = 0.35, then add the whole number 4."
   ],
   "source": "MGS 2024 P4 Weighted Assessment 3 Q4",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 4.35"
  },
  {
   "n": 5,
   "type_id": 2,
   "question": "What is the decimal represented by A?",
   "answer0": "2.38",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 123,
   "difficulty_id": 2,
   "explanation": "The interval from 2.3 to 2.4 is divided into 10 equal parts, each worth 0.01. A is 8 parts past 2.3, so A = 2.3 + 0.08 = 2.38.",
   "hints": [
    "Count the number of equal divisions between 2.3 and 2.4 (there are 10).",
    "Each small mark is 0.01; A is the 8th mark after 2.3."
   ],
   "source": "MGS 2024 P4 Weighted Assessment 3 Q5",
   "image_needed": true,
   "image_options": false,
   "image_file": "q5.png",
   "image_page": 2,
   "image_bbox": [
    0.14,
    0.7,
    0.66,
    0.8
   ],
   "image_loc": "number line marked 2.3 to 2.4 with arrow A, below the question",
   "notes": "Key: 2.38"
  },
  {
   "n": 6,
   "type_id": 2,
   "question": "Round 43.26 to the nearest tenth.",
   "answer0": "43.3",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 128,
   "difficulty_id": 1,
   "explanation": "The tenths digit is 2 and the hundredths digit is 6. Since 6 ≥ 5, round the tenths digit up: 43.26 → 43.3.",
   "hints": [
    "Look at the hundredths digit (6) to decide rounding.",
    "6 is 5 or more, so round the tenths digit up from 2 to 3."
   ],
   "source": "MGS 2024 P4 Weighted Assessment 3 Q6",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 43.3"
  },
  {
   "n": 7,
   "type_id": 2,
   "question": "Measure and write down the size of ∠y.",
   "answer0": "145",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 140,
   "difficulty_id": 1,
   "explanation": "Using a protractor, the obtuse angle y measures 145°.",
   "hints": [
    "Place the protractor's centre on the vertex and baseline along the horizontal line.",
    "y is obtuse (between 90° and 180°); read 145°."
   ],
   "source": "MGS 2024 P4 Weighted Assessment 3 Q7",
   "image_needed": true,
   "image_options": false,
   "image_file": "q7.png",
   "image_page": 3,
   "image_bbox": [
    0.18,
    0.31,
    0.68,
    0.48
   ],
   "image_loc": "angle y formed by a horizontal ray and an upward-sloping ray, below the question",
   "notes": "Key: 145°. Answer in degrees."
  },
  {
   "n": 8,
   "type_id": 2,
   "question": "Divide 16 by 7. Give your answer correct to 2 decimal places.",
   "answer0": "2.29",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 125,
   "difficulty_id": 2,
   "explanation": "16 ÷ 7 = 2.2857... To 2 decimal places, look at the 3rd decimal (5), round up: 2.29.",
   "hints": [
    "Work out 16 ÷ 7 to 3 decimal places first: 2.285...",
    "The 3rd decimal is 5, so round the 2nd decimal up: 2.29."
   ],
   "source": "MGS 2024 P4 Weighted Assessment 3 Q8",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 16 ÷ 7 = 2.285R5 ≈ 2.29"
  },
  {
   "n": 9,
   "type_id": 2,
   "question": "Arrange these numbers from the greatest to the smallest.<br>$$\\frac{2}{5}$$ , 0.403 , 0.043",
   "answer0": "0.403",
   "answer1": "2/5",
   "answer2": "0.043",
   "answer3": null,
   "correct_answer": null,
   "skill_id": 124,
   "difficulty_id": 2,
   "explanation": "Convert $$\\frac{2}{5}=0.4$$. Compare 0.403, 0.4, 0.043. Greatest to smallest: 0.403, $$\\frac{2}{5}$$ (0.4), 0.043.",
   "hints": [
    "Change 2/5 to a decimal: 2 ÷ 5 = 0.4.",
    "Compare 0.403, 0.400 and 0.043 digit by digit; largest first."
   ],
   "source": "MGS 2024 P4 Weighted Assessment 3 Q9",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 0.403, 2/5, 0.043 (greatest to smallest). 3 blanks in order. FIB fraction answer kept plain 2/5."
  },
  {
   "n": 10,
   "type_id": 0,
   "question": "Draw and label square PQRS in the square grid. One side of the square has been drawn for you.",
   "answer0": null,
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 143,
   "difficulty_id": 2,
   "explanation": "Side PS is drawn going 1 right and 3 down. Each remaining side must have the same length and be perpendicular. From P go 3 right 1 up to Q (so PQ ⊥ PS), then from Q go 1 right 3 down to R, completing square PQRS.",
   "hints": [
    "A square has 4 equal sides and all right angles.",
    "Each side moves the same as PS but turned 90° (3 across, 1 up/down)."
   ],
   "source": "MGS 2024 P4 Weighted Assessment 3 Q10",
   "image_needed": true,
   "image_options": false,
   "image_file": "q10.png",
   "image_page": 4,
   "image_bbox": [
    0.27,
    0.43,
    0.68,
    0.68
   ],
   "image_loc": "square grid with side PS drawn, centre of page",
   "notes": "Interactive draw-and-label task, no value answer; type_id 0 (skipped on insert). Key shows completed square PQRS."
  },
  {
   "n": 11,
   "type_id": 2,
   "question": "In the figure shown, ABCD is a rectangle. Find ∠EAF.",
   "answer0": "26",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 139,
   "difficulty_id": 2,
   "explanation": "∠DAB = 90° (right angle of the rectangle). ∠DAF = 53° and ∠EAB = 11°. ∠EAF = 90° − 53° − 11° = 26°. (Or 53° + 11° = 64°; 90° − 64° = 26°.)",
   "hints": [
    "A corner of a rectangle is a right angle: ∠DAB = 90°.",
    "Subtract the two marked angles (53° and 11°) from 90°."
   ],
   "source": "MGS 2024 P4 Weighted Assessment 3 Q11",
   "image_needed": true,
   "image_options": false,
   "image_file": "q11.png",
   "image_page": 5,
   "image_bbox": [
    0.46,
    0.11,
    0.76,
    0.26
   ],
   "image_loc": "rectangle ABCD with rays from A to E and F, angles 11° and 53° marked, upper-middle of page",
   "notes": "Key: 53 + 11 = 64; 90 - 64 = 26°. Answer in degrees."
  },
  {
   "n": 12,
   "type_id": 2,
   "question": "Rectangle ABCD is made up of five identical rectangles. What is the length of EF?",
   "answer0": "4",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 143,
   "difficulty_id": 2,
   "explanation": "DC = 12 cm is made up of 3 widths of a small rectangle, so one width = 12 ÷ 3 = 4 cm. EF equals the width of one small rectangle = 4 cm.",
   "hints": [
    "The bottom DC (12 cm) is split into 3 equal small-rectangle widths.",
    "12 ÷ 3 = 4 cm; EF is one such width."
   ],
   "source": "MGS 2024 P4 Weighted Assessment 3 Q12",
   "image_needed": true,
   "image_options": false,
   "image_file": "q12.png",
   "image_page": 5,
   "image_bbox": [
    0.5,
    0.48,
    0.74,
    0.68
   ],
   "image_loc": "rectangle ABCD split into five identical rectangles, EF marked with ?, DC = 12 cm, middle of page",
   "notes": "Key: 12 ÷ 3 = 4 cm. Answer in cm."
  },
  {
   "n": 13,
   "type_id": 2,
   "question": "Megan receives a total of $30 of pocket money for 5 days. Each day, she spends $2.70 on transport, part of the remaining money on food and saves the rest.<br>(a) How much does Megan spend on transport in 5 days?<br>(b) Last week, Megan saved $1.80. How much did she spend on food?",
   "answer0": "$13.50",
   "answer1": "$14.70",
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 2,
   "explanation": "(a) Transport in 5 days = $2.70 × 5 = $13.50. (b) Money left after transport = $30 − $13.50 = $16.50. Food = remaining − savings = $16.50 − $1.80 = $14.70.",
   "hints": [
    "(a) Multiply the daily transport cost $2.70 by 5 days.",
    "(b) From $30 subtract transport ($13.50) and savings ($1.80) to get food."
   ],
   "source": "MGS 2024 P4 Weighted Assessment 3 Q13",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Two-part question; answer0 = (a) $13.50, answer1 = (b) $14.70. Key: a) $13.50; b) $14.70"
  },
  {
   "n": 14,
   "type_id": 2,
   "question": "Ken bought 5 kg of sugar. He used 0.32 kg of sugar to make a cake and packed the remaining sugar equally into 6 packets. What was the mass of each packet of sugar?",
   "answer0": "0.78",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 2,
   "explanation": "Remaining sugar = 5 − 0.32 = 4.68 kg. Each packet = 4.68 ÷ 6 = 0.78 kg.",
   "hints": [
    "First subtract the cake's sugar: 5 − 0.32 = 4.68 kg.",
    "Divide the remaining 4.68 kg by 6 packets."
   ],
   "source": "MGS 2024 P4 Weighted Assessment 3 Q14",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 5kg - 0.32kg = 4.68kg; 4.68kg ÷ 6 = 0.78kg. Answer in kg."
  },
  {
   "n": 15,
   "type_id": 2,
   "question": "Bag A contains 26.5 kg more peanuts than Bag B. After 4.55 kg of peanuts were removed from Bag B and placed into Bag A, the mass of Bag A was five times the mass of Bag B. What was the mass of peanuts in Bag B at first?",
   "answer0": "13.45",
   "answer1": null,
   "answer2": null,
   "answer3": null,
   "correct_answer": null,
   "skill_id": 131,
   "difficulty_id": 3,
   "explanation": "After moving 4.55 kg, the difference between the bags becomes 26.5 + 2 × 4.55 = 35.6 kg. Bag A is now 5 times Bag B, so the difference is 4 units = 35.6 kg, giving 1 unit (Bag B now) = 35.6 ÷ 4 = 8.90 kg. Bag B at first = 8.90 + 4.55 = 13.45 kg.",
   "hints": [
    "Moving 4.55 kg from B to A increases the gap by 2 × 4.55 = 9.1 kg, so the new difference is 35.6 kg.",
    "A is 5× B means the difference is 4 units; 35.6 ÷ 4 = 8.90 kg is Bag B now, then add back 4.55 kg."
   ],
   "source": "MGS 2024 P4 Weighted Assessment 3 Q15",
   "image_needed": false,
   "image_options": false,
   "image_file": null,
   "notes": "Key: 35.60 ÷ 4 = 8.90; 8.90 + 4.55 = 13.45kg. Answer in kg."
  }
 ]
}