{
  "paper": {
    "school": "Pei Hwa",
    "year": 2022,
    "level": "P3",
    "label": "Semestral Assessment 2",
    "source_prefix": "Pei Hwa 2022 P3 Semestral Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "What is the value of the digit 8 in 1987?",
      "answer0": "8000",
      "answer1": "800",
      "answer2": "80",
      "answer3": "8",
      "correct_answer": 2,
      "skill_id": 66,
      "difficulty_id": 1,
      "explanation": "In 1987 the digit 8 is in the tens place, so its value is 80.",
      "hints": ["Identify the place of the digit 8.", "8 sits in the tens column: 8 tens = 80."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key=option 3 (80)."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Which of the following is seven thousand and forty-six in numerals?",
      "answer0": "7040",
      "answer1": "7046",
      "answer2": "7406",
      "answer3": "7460",
      "correct_answer": 1,
      "skill_id": 67,
      "difficulty_id": 1,
      "explanation": "Seven thousand and forty-six = 7000 + 46 = 7046.",
      "hints": ["Seven thousand = 7000.", "Forty-six = 46, so add them: 7046."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key=option 2 (7046)."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Arrange the numbers from the greatest to the smallest.",
      "answer0": "7380, 8073, 8730",
      "answer1": "8037, 8730, 7380",
      "answer2": "8730, 7380, 8037",
      "answer3": "8730, 8073, 7380",
      "correct_answer": 3,
      "skill_id": 68,
      "difficulty_id": 2,
      "explanation": "Order greatest to smallest: 8730, 8073, 7380.",
      "hints": ["Compare thousands then hundreds.", "8730 > 8073 > 7380."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Options are ordered sequences; kept as MCQ. Key=option 4."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Find the product of 6 and 7.",
      "answer0": "36",
      "answer1": "42",
      "answer2": "48",
      "answer3": "56",
      "correct_answer": 1,
      "skill_id": 73,
      "difficulty_id": 1,
      "explanation": "6 x 7 = 42.",
      "hints": ["Product means multiply.", "6 x 7 = 42."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key=option 2 (42)."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "Which of the following fractions is the smallest?",
      "answer0": "1/2",
      "answer1": "2/3",
      "answer2": "3/7",
      "answer3": "4/5",
      "correct_answer": 2,
      "skill_id": 79,
      "difficulty_id": 2,
      "explanation": "Comparing 1/2, 2/3, 3/7, 4/5: 3/7 is less than 1/2 (3.5/7), so 3/7 is the smallest.",
      "hints": ["Compare each to 1/2.", "3/7 is below a half, the others are at or above a half."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key=option 3 (3/7)."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "What is the missing number in the box?\n9/12 = [?]/4",
      "answer0": "1",
      "answer1": "17",
      "answer2": "3",
      "answer3": "27",
      "correct_answer": 2,
      "skill_id": 77,
      "difficulty_id": 2,
      "explanation": "9/12 simplifies to 3/4, so the missing numerator is 3.",
      "hints": ["Divide numerator and denominator of 9/12 by 3.", "9/12 = 3/4, so the box is 3."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Equivalent-fraction box shown as text. Key=option 3 (3)."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "Which of the following is the same as 6 kg 58 g?",
      "answer0": "658 g",
      "answer1": "6058 g",
      "answer2": "6508 g",
      "answer3": "6580 g",
      "correct_answer": 1,
      "skill_id": 86,
      "difficulty_id": 2,
      "explanation": "6 kg = 6000 g, plus 58 g = 6058 g.",
      "hints": ["1 kg = 1000 g.", "6000 g + 58 g = 6058 g."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key=option 2 (6058 g)."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "Arrange the angles from the smallest to the greatest.",
      "answer0": "Angle a, Angle b, Angle c",
      "answer1": "Angle a, Angle c, Angle b",
      "answer2": "Angle b, Angle a, Angle c",
      "answer3": "Angle c, Angle a, Angle b",
      "correct_answer": 1,
      "skill_id": 99,
      "difficulty_id": 2,
      "explanation": "Comparing the three angles on the grids, smallest to greatest is a, c, b.",
      "hints": ["A wider opening means a larger angle.", "Order: a (smallest), then c, then b."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q8",
      "image_needed": true,
      "image_page": 5,
      "image_loc": "upper-middle of page, three square grids each showing angle a, b, c",
      "image_options": false,
      "image_file": "q8.png",
      "notes": "Three angle diagrams on grids; needed to compare. Key=option 2 (a, c, b)."
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "Find the sum of the values of the digits '7' in the numbers 7845 and 271.",
      "answer0": "707",
      "answer1": "770",
      "answer2": "7007",
      "answer3": "7070",
      "correct_answer": 3,
      "skill_id": 66,
      "difficulty_id": 2,
      "explanation": "In 7845 the 7 is worth 7000; in 271 the 7 is worth 70. Sum = 7000 + 70 = 7070.",
      "hints": ["Find the place value of each 7.", "7000 + 70 = 7070."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key=option 4 (7070)."
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "Study the number pattern carefully.\n[?], 210, 30, 5, 1\nWhat is the missing number?",
      "answer0": "1260",
      "answer1": "1470",
      "answer2": "1680",
      "answer3": "2100",
      "correct_answer": 2,
      "skill_id": 69,
      "difficulty_id": 3,
      "explanation": "From the right: 1, then x5 = 5, then x6 = 30, then x7 = 210, then x8 = 1680.",
      "hints": ["Find the multiplier between consecutive terms.", "210 x 8 = 1680."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Pattern shown as boxes (text-renderable). Key=option 3 (1680)."
    },
    {
      "n": 11,
      "type_id": 1,
      "question": "Jon bought 1597 blue beads.\nHe bought 900 more red beads than blue beads.\nHow many beads did he buy altogether?",
      "answer0": "2294",
      "answer1": "2497",
      "answer2": "3397",
      "answer3": "4094",
      "correct_answer": 3,
      "skill_id": 71,
      "difficulty_id": 2,
      "explanation": "Red = 1597 + 900 = 2497. Total = 1597 + 2497 = 4094.",
      "hints": ["Find the number of red beads first.", "1597 + (1597 + 900) = 4094."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key=option 4 (4094)."
    },
    {
      "n": 12,
      "type_id": 1,
      "question": "I divide a number by 7.\nThe quotient is 436 and the remainder is 4.\nWhat is the number?",
      "answer0": "1751",
      "answer1": "1772",
      "answer2": "3056",
      "answer3": "3080",
      "correct_answer": 2,
      "skill_id": 75,
      "difficulty_id": 2,
      "explanation": "Number = 436 x 7 + 4 = 3052 + 4 = 3056.",
      "hints": ["Number = quotient x divisor + remainder.", "436 x 7 + 4 = 3056."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key=option 3 (3056)."
    },
    {
      "n": 13,
      "type_id": 1,
      "question": "Gary has $108.\nHe has three times as much money as Alice.\nHow much more money does Gary have than Alice?",
      "answer0": "$36",
      "answer1": "$54",
      "answer2": "$72",
      "answer3": "$144",
      "correct_answer": 2,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "Alice = 108 / 3 = $36. Difference = 108 - 36 = $72.",
      "hints": ["Find Alice's amount first (divide by 3).", "108 - 36 = $72."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key=option 3 ($72)."
    },
    {
      "n": 14,
      "type_id": 1,
      "question": "The figure is made up of equal rectangles.\nWhat fraction of the figure is shaded?\nLeave your answer in the simplest form.",
      "answer0": "1/3",
      "answer1": "2/5",
      "answer2": "6/15",
      "answer3": "9/15",
      "correct_answer": 1,
      "skill_id": 78,
      "difficulty_id": 2,
      "explanation": "6 of the 15 equal rectangles are shaded: 6/15 = 2/5 in simplest form.",
      "hints": ["Count shaded parts over total parts.", "6/15 simplifies to 2/5."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q14",
      "image_needed": true,
      "image_page": 7,
      "image_loc": "middle of page, 5-by-3 grid of rectangles with some shaded black",
      "image_options": false,
      "image_file": "q14.png",
      "notes": "Shaded-fraction figure required. 6 shaded of 15. Key=option 2 (2/5)."
    },
    {
      "n": 15,
      "type_id": 1,
      "question": "Find the perimeter of the rectangle.",
      "answer0": "22 cm",
      "answer1": "44 cm",
      "answer2": "117 cm",
      "answer3": "234 cm",
      "correct_answer": 1,
      "skill_id": 96,
      "difficulty_id": 1,
      "explanation": "Perimeter = 2 x (9 + 13) = 2 x 22 = 44 cm.",
      "hints": ["Perimeter = 2 x (length + breadth).", "2 x (9 + 13) = 44 cm."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q15",
      "image_needed": true,
      "image_page": 8,
      "image_loc": "upper-left area, rectangle labelled 9 cm (height) and 13 cm (base)",
      "image_options": false,
      "image_file": "q15.png",
      "notes": "Rectangle figure with dimensions 9 cm and 13 cm. Key=option 2 (44 cm)."
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "What is the missing number in the box?\n8975 = 8000 + [?] + 5",
      "answer0": "970",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 66,
      "difficulty_id": 1,
      "explanation": "8975 - 8000 - 5 = 970.",
      "hints": ["Subtract 8000 and 5 from 8975.", "8975 - 8005 = 970."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q16",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key=970."
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "What is the missing number in the box?\n5079 - 3[?]93 = 1786",
      "answer0": "2",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 70,
      "difficulty_id": 2,
      "explanation": "5079 - 1786 = 3293, so the subtrahend is 3293 and the missing digit is 2.",
      "hints": ["Work out 5079 - 1786 to find the subtracted number.", "5079 - 1786 = 3293, missing digit is 2."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q17",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Column subtraction 5079 - 3?93 = 1786; missing digit in tens-hundreds box is 2. Key=2."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "Find the remainder of 509 / 7.",
      "answer0": "5",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 74,
      "difficulty_id": 2,
      "explanation": "509 / 7 = 72 remainder 5 (72 x 7 = 504, 509 - 504 = 5).",
      "hints": ["72 x 7 = 504.", "509 - 504 = 5."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q18",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key=5."
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "Find the difference between 1/3 and 5/6.",
      "answer0": "1/2",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 81,
      "difficulty_id": 2,
      "explanation": "5/6 - 1/3 = 5/6 - 2/6 = 3/6 = 1/2.",
      "hints": ["Convert 1/3 to sixths.", "5/6 - 2/6 = 3/6 = 1/2."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q19",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key=3/6 or 1/2 (simplest form 1/2)."
    },
    {
      "n": 20,
      "type_id": 2,
      "question": "What are the possible values of A and B?\n[?]/3 + 1/6 + [?]/12 = 1",
      "answer0": "1",
      "answer1": "6",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 81,
      "difficulty_id": 3,
      "explanation": "With A=1: 1/3 = 4/12 and 1/6 = 2/12, so 4/12 + 2/12 + B/12 = 12/12 gives B = 6.",
      "hints": ["Convert all fractions to twelfths.", "4/12 + 2/12 + B/12 = 12/12, so A=1, B=6."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q20",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two blanks A then B. Key A=1, B=6."
    },
    {
      "n": 21,
      "type_id": 2,
      "question": "I have a 1-digit number.\nWhen I add 20 to the number, the answer is the same when I multiply the number by 6. What is the number?",
      "answer0": "4",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Number + 20 = number x 6. Testing 4: 4 + 20 = 24 and 4 x 6 = 24, so the number is 4.",
      "hints": ["Try 1-digit numbers so n + 20 = 6 x n.", "4 + 20 = 24 = 4 x 6."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q21",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key=4."
    },
    {
      "n": 22,
      "type_id": 2,
      "question": "Express 5 hours and 55 minutes in minutes.",
      "answer0": "355",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 91,
      "difficulty_id": 1,
      "explanation": "5 h = 300 min; 300 + 55 = 355 min.",
      "hints": ["1 hour = 60 minutes.", "5 x 60 + 55 = 355 min."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q22",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer in minutes. Key=355 min."
    },
    {
      "n": 23,
      "type_id": 2,
      "question": "The figure is made up of 12 squares.\nThe area of each square is 4 cm².\nFind the area of the shaded figure.",
      "answer0": "32",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 97,
      "difficulty_id": 3,
      "explanation": "The shaded parts make up 8 whole squares; 8 x 4 cm² = 32 cm².",
      "hints": ["Combine half-square triangles into whole squares.", "8 squares x 4 cm² = 32 cm²."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q23",
      "image_needed": true,
      "image_page": 10,
      "image_loc": "left side below the question, black shaded figure inside a 4-by-3 grid of squares",
      "image_options": false,
      "image_file": "q23.png",
      "notes": "Shaded composite area figure required. Answer in cm². Key=32 cm² (8 full squares)."
    },
    {
      "n": 24,
      "type_id": 2,
      "question": "Peter used 43 matchsticks to form 13 squares and triangles altogether.\nHow many squares are there?",
      "answer0": "4",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Squares use 4 sticks, triangles 3. If s + t = 13 and 4s + 3t = 43, then s = 43 - 39 = 4 squares.",
      "hints": ["13 triangles would use 39 sticks; each square adds 1 extra.", "43 - 39 = 4 squares."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q24",
      "image_needed": true,
      "image_page": 11,
      "image_loc": "upper-left, matchstick squares and triangles diagram",
      "image_options": false,
      "image_file": "q24.png",
      "notes": "Matchstick figure illustrating squares and triangles. Key=4."
    },
    {
      "n": 25,
      "type_id": 2,
      "question": "All of the water in the beaker was poured into 3 identical cups and 1 teapot.\nAfter pouring, each cup contained 200 mℓ of water.\nFind the volume of water in the teapot in ℓ and mℓ.",
      "answer0": "2",
      "answer1": "900",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 2,
      "explanation": "Beaker holds 3 ℓ 500 mℓ = 3500 mℓ. Cups: 3 x 200 = 600 mℓ. Teapot = 3500 - 600 = 2900 mℓ = 2 ℓ 900 mℓ.",
      "hints": ["Read the beaker level (3 ℓ 500 mℓ) and subtract the cups.", "3500 - 600 = 2900 mℓ = 2 ℓ 900 mℓ."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q25",
      "image_needed": true,
      "image_page": 11,
      "image_loc": "middle of page, beaker (marked 5 ℓ) with arrow to 3 cups and a teapot",
      "image_options": false,
      "image_file": "q25.png",
      "notes": "Beaker reads 3 ℓ 500 mℓ. Two blanks: ℓ then mℓ. Key=2 ℓ 900 mℓ."
    },
    {
      "n": 26,
      "type_id": 2,
      "question": "In the morning, the clock shown is 50 minutes slow.\nWhat should be the actual time?",
      "answer0": "9.10",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 92,
      "difficulty_id": 2,
      "explanation": "The clock shows 8.20 a.m.; 50 minutes later is 9.10 a.m.",
      "hints": ["Read the clock time, then add 50 minutes.", "8.20 + 50 min = 9.10 a.m."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q26",
      "image_needed": true,
      "image_page": 11,
      "image_loc": "lower-left, analogue clock face showing about 8.20",
      "image_options": false,
      "image_file": "q26.png",
      "notes": "Clock shows 8.20; answer recorded in a.m. format. Key=9.10 a.m."
    },
    {
      "n": 27,
      "type_id": 2,
      "question": "Figure A is a rectangle and Figure B is a square.\ni) Which figure has a greater area?\nii) Find the difference in their area.",
      "answer0": "A",
      "answer1": "4",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 97,
      "difficulty_id": 3,
      "explanation": "On the grid, rectangle A has the larger area; the difference between the two areas is 4 square units.",
      "hints": ["Count the unit squares each figure covers.", "Figure A is larger by 4 square units."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q27",
      "image_needed": true,
      "image_page": 12,
      "image_loc": "upper area, square grid with rectangle A (left) and tilted square B (right)",
      "image_options": false,
      "image_file": "q27.png",
      "notes": "Two blanks: i) figure letter A, ii) difference 4 square units. Key i)=A, ii)=4."
    },
    {
      "n": 28,
      "type_id": 2,
      "question": "Study the figure in the square grid and fill in the blanks.\na) Line AB is parallel to Line [?]\nb) Line CF is perpendicular to Line [?]",
      "answer0": "CF",
      "answer1": "DF",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 100,
      "difficulty_id": 2,
      "explanation": "On the grid, AB and CF have the same slope so they are parallel; CF meets DF at a right angle so they are perpendicular.",
      "hints": ["Parallel lines have the same direction; perpendicular lines meet at a right angle.", "AB || CF, and CF is perpendicular to DF."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q28",
      "image_needed": true,
      "image_page": 12,
      "image_loc": "lower-middle, square grid with points B, C, D, A, F, E and connecting lines",
      "image_options": false,
      "image_file": "q28.png",
      "notes": "Two blanks: a) parallel line CF, b) perpendicular line DF. Key a)=CF, b)=DF."
    },
    {
      "n": 29,
      "type_id": 1,
      "question": "Study the figure in the square grid.\nList all the right angles.",
      "answer0": "Angles a and d",
      "answer1": "Angles f, e, b and c",
      "answer2": "Angles a, b and c",
      "answer3": "Angles e and f only",
      "correct_answer": 1,
      "skill_id": 99,
      "difficulty_id": 2,
      "explanation": "Checking each marked angle against the grid corners, the right angles are f, e, b and c.",
      "hints": ["A right angle fits a square corner of the grid.", "Angles f, e, b and c are right angles."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q29",
      "image_needed": true,
      "image_page": 13,
      "image_loc": "upper-middle, square grid with a polygon marking angles a, b, c, d, e, f",
      "image_options": false,
      "image_file": "q29.png",
      "notes": "Answer is a set of angle labels (letters) -> made MCQ per word/letter rule. Key=f, e, b, c (option 2)."
    },
    {
      "n": 30,
      "type_id": 2,
      "question": "The graph shows the number of pupils in School A to School D.\nPart of the graph is torn and the number of pupils in School D is not shown.\na) How many pupils are there in School C?\nb) The number of pupils in School B is twice of those in School D. How many pupils are there in School D?",
      "answer0": "260",
      "answer1": "150",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "From the bar graph School C = 260. School B = 300, and B is twice D, so D = 300 / 2 = 150.",
      "hints": ["Read School C's bar height.", "D = School B / 2 = 300 / 2 = 150."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q30",
      "image_needed": true,
      "image_page": 14,
      "image_loc": "upper-middle, bar graph titled 'Number of pupils in School' with bars A-D",
      "image_options": false,
      "image_file": "q30.png",
      "notes": "Bar graph required. Two blanks: a) 260, b) 150. Key a)=260, b)=150."
    },
    {
      "n": 31,
      "type_id": 2,
      "question": "There were 3265 children and 1673 adults at a concert.\na) How many more children than adults were there?\nb) There were 1527 boys. How many girls were there?",
      "answer0": "1592",
      "answer1": "1738",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 2,
      "explanation": "a) 3265 - 1673 = 1592 more children. b) Girls = 3265 - 1527 = 1738.",
      "hints": ["a) Subtract adults from children.", "b) Subtract boys from total children: 3265 - 1527 = 1738."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q31",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two parts. Key a)=1592, b)=1738."
    },
    {
      "n": 32,
      "type_id": 2,
      "question": "Lynn had $229 and Rachel had $359. After Rachel gave Lynn some money, Lynn had three times as much money as Rachel.\na) How much money did the girls have altogether?\nb) How much money did Rachel have in the end?",
      "answer0": "588",
      "answer1": "147",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 3,
      "explanation": "a) Total = 229 + 359 = $588 (unchanged). b) Lynn has 3 times Rachel, so 4 units = 588; Rachel = 588 / 4 = $147.",
      "hints": ["The total money does not change when one gives money to the other.", "4 units = $588, Rachel = $588 / 4 = $147."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q32",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two parts, answers in dollars. Key a)=$588, b)=$147."
    },
    {
      "n": 33,
      "type_id": 2,
      "question": "Ali and Ben were each given $10 to spend on food items.\nMenu: Ice-cream $2.50, Soda $3.10, Burger $6.50, Fries $4.40, Sandwich $3.50, Noodles $7.90, Pizza $8.50, Salad $6.60.\na) Which two items could Ali buy with the exact amount given?\nb) Ben bought 2 different food items. He spent the least possible amount of money. How much change would he receive?",
      "answer0": "Sandwich and Burger",
      "answer1": "4.40",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 3,
      "explanation": "a) Sandwich $3.50 + Burger $6.50 = $10 exactly. b) Cheapest two are Ice-cream $2.50 + Soda $3.10 = $5.60; change = $10 - $5.60 = $4.40.",
      "hints": ["a) Find two prices that add to exactly $10.", "b) Pick the two cheapest items, then subtract from $10."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q33",
      "image_needed": true,
      "image_page": 17,
      "image_loc": "centre, 'Menu from Chin's kitchen' grid of 8 food item pictures with prices",
      "image_options": false,
      "image_file": "q33.png",
      "notes": "Menu picture; prices transcribed into stem. Part a answer is two item names -> stored as text. Key a)=sandwich + burger, b)=$4.40."
    },
    {
      "n": 34,
      "type_id": 2,
      "question": "A road is 630 m long.\nA lamp post is placed at every 7 m interval.\nA lamp post is placed at the start and the end of the road.\na) Find the distance between the first and fourth lamp post.\nb) Find the total number of lamp posts along the road.",
      "answer0": "21",
      "answer1": "91",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 3,
      "explanation": "a) First to fourth post = 3 intervals x 7 m = 21 m. b) 630 / 7 = 90 intervals; posts = 90 + 1 = 91.",
      "hints": ["From the 1st to 4th post there are 3 gaps.", "Number of posts = intervals + 1 = 90 + 1 = 91."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q34",
      "image_needed": true,
      "image_page": 18,
      "image_loc": "upper-left, row of lamp posts with '7 m' gap and total '630 m' marked",
      "image_options": false,
      "image_file": "q34.png",
      "notes": "Part a answer in m. Key a)=21 m, b)=91."
    },
    {
      "n": 35,
      "type_id": 2,
      "question": "The bar graph shows the amount of time Bob spent to carry out different activities in a day.\na) How long did he spend his time studying? Give your answer in h and mins.\nb) Which activity did Bob spend twice as much time as jogging?\nc) At 11.55 am, Bob started eating lunch. After lunch, he took a nap. What time did he wake up?",
      "answer0": "3 h",
      "answer1": "Reading",
      "answer2": "1.15 p.m.",
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 3,
      "explanation": "a) Studying = 180 min = 3 h. b) Jogging = 80 min; twice = 160 min = Reading. c) Lunch 20 min (11.55 + 20 = 12.15) then nap 60 min, wake at 1.15 p.m.",
      "hints": ["Read each bar in minutes; 60 min = 1 h.", "c) Add lunch (20 min) then nap (60 min) to 11.55 am."],
      "source": "Pei Hwa 2022 P3 Semestral Assessment 2 Q35",
      "image_needed": true,
      "image_page": 19,
      "image_loc": "upper-middle, bar graph 'Time spent on activities' (Lunch, Cycling, Napping, Jogging, Reading, Studying)",
      "image_options": false,
      "image_file": "q35.png",
      "notes": "Bar graph required. Three blanks. Key a)=3 hours, b)=Reading, c)=1.15 p.m. (lunch 20min + nap 60min from 11.55am)."
    }
  ]
}