{
  "paper": {
    "school": "Pei Chun",
    "year": 2022,
    "level": "P3",
    "label": "Semestral Assessment 2",
    "source_prefix": "Pei Chun 2022 P3 Semestral Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "In 1809, which digit is in the thousands place?",
      "answer0": "1",
      "answer1": "0",
      "answer2": "8",
      "answer3": "9",
      "correct_answer": 0,
      "skill_id": 66,
      "difficulty_id": 1,
      "explanation": "In 1809 the digits are 1 (thousands), 8 (hundreds), 0 (tens), 9 (ones). The thousands digit is 1.",
      "hints": ["Read the number from the left.", "The leftmost digit of a 4-digit number is the thousands place."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1"
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Which of the following is the numbers arranged from the smallest to the greatest?",
      "answer0": "2930, 2390, 2093",
      "answer1": "2390, 2930, 2093",
      "answer2": "2930, 2093, 2390",
      "answer3": "2093, 2390, 2930",
      "correct_answer": 3,
      "skill_id": 68,
      "difficulty_id": 1,
      "explanation": "Comparing 2093, 2390, 2930: smallest is 2093, then 2390, then 2930.",
      "hints": ["Compare the hundreds digits first.", "Smallest to greatest means ascending order."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 4"
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Find the value of 8000 + 500 + 9.",
      "answer0": "859",
      "answer1": "8059",
      "answer2": "8509",
      "answer3": "8590",
      "correct_answer": 2,
      "skill_id": 66,
      "difficulty_id": 1,
      "explanation": "8000 + 500 + 9 = 8509 (8 thousands, 5 hundreds, 0 tens, 9 ones).",
      "hints": ["Line up the place values.", "There are 0 tens."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 3"
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Which of the following is most likely the length of a school bus?",
      "answer0": "50 cm",
      "answer1": "15 m",
      "answer2": "150 cm",
      "answer3": "500 m",
      "correct_answer": 1,
      "skill_id": 84,
      "difficulty_id": 1,
      "explanation": "A school bus is about 15 m long. 50 cm and 150 cm are too short; 500 m is far too long.",
      "hints": ["Think about real-life sizes.", "1 m is about a big step; a bus is several metres long."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 2"
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "Which of the following figures has two marked right angles?",
      "answer0": "Figure 1",
      "answer1": "Figure 2",
      "answer2": "Figure 3",
      "answer3": "Figure 4",
      "correct_answer": 3,
      "skill_id": 99,
      "difficulty_id": 2,
      "explanation": "Figure 4 has exactly two angles marked as right angles (small squares).",
      "hints": ["A right angle is marked with a small square.", "Count how many right-angle marks each figure has."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q5",
      "image_needed": true,
      "image_options": true,
      "image_file": "q5.png",
      "image_page": 3,
      "image_loc": "middle of page, four labelled figures (1)-(4) in a 2x2 layout below the question",
      "notes": "Key: 4. Options are pictures of figures with marked angles; crop each option q5_opt0..3.png"
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "Given the three fractions: 2/3, 1/2, 7/9 . Arrange them from the greatest to the smallest.",
      "answer0": "7/9, 2/3, 1/2",
      "answer1": "7/9, 1/2, 2/3",
      "answer2": "2/3, 1/2, 7/9",
      "answer3": "1/2, 2/3, 7/9",
      "correct_answer": 0,
      "skill_id": 79,
      "difficulty_id": 2,
      "explanation": "Common denominator 18: 2/3=12/18, 1/2=9/18, 7/9=14/18. Greatest to smallest: 7/9, 2/3, 1/2.",
      "hints": ["Convert to a common denominator of 18.", "Greatest to smallest means descending order."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1"
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "Tom wants to buy a water bottle which costs $10. The diagram shows the amount of money he has in his wallet. How much more money does he need to buy the water bottle?",
      "answer0": "$4.80",
      "answer1": "$5.20",
      "answer2": "$5.70",
      "answer3": "$6.20",
      "correct_answer": 0,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "Wallet: $1 + $1 + 50c + 5c + 5c + 20c = $2 + 80c = $5.20. $10 - $5.20 = $4.80 more needed.",
      "hints": ["Add up the notes and coins in the wallet.", "Subtract the total he has from $10."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q7",
      "image_needed": true,
      "image_options": false,
      "image_file": "q7.png",
      "image_page": 4,
      "image_loc": "middle of page, scanned photo of a $5 note, two $1 coins, 50c, two 5c and a 20c coin",
      "notes": "Key: 1. Money shown: $5 note, $1, $1, 50c, 5c, 5c, 20c = $5.20."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "Mr Hong sold 1231 eggs on Monday. He sold 256 fewer eggs on Tuesday than on Monday. How many eggs did he sell on Monday and Tuesday?",
      "answer0": "975",
      "answer1": "1487",
      "answer2": "2206",
      "answer3": "2718",
      "correct_answer": 2,
      "skill_id": 71,
      "difficulty_id": 2,
      "explanation": "Tuesday = 1231 - 256 = 975. Total = 1231 + 975 = 2206.",
      "hints": ["First find Tuesday's eggs by subtracting 256.", "Then add Monday and Tuesday together."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 3"
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "The diagram shows 2 identical apples and a pear on a weighing scale. The mass of the pear is 100 g. What is the mass of an apple?",
      "answer0": "120 g",
      "answer1": "130 g",
      "answer2": "180 g",
      "answer3": "260 g",
      "correct_answer": 1,
      "skill_id": 87,
      "difficulty_id": 2,
      "explanation": "Scale reads 360 g total. 2 apples + pear = 360 g. 2 apples = 360 - 100 = 260 g. 1 apple = 130 g.",
      "hints": ["Read the total mass on the scale.", "Subtract the pear's mass, then divide by 2 apples."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q9",
      "image_needed": true,
      "image_options": false,
      "image_file": "q9.png",
      "image_page": 5,
      "image_loc": "middle of page, dial weighing scale with 2 apples and a pear; needle near 360 g",
      "notes": "Key: 2. Scale total reads 360 g (needle past 300 toward 100/400 marks)."
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "Sally had 3 times as many marbles as John. Sally had 36 marbles. How many marbles did they have altogether?",
      "answer0": "12",
      "answer1": "48",
      "answer2": "108",
      "answer3": "144",
      "correct_answer": 1,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "John = 36 / 3 = 12. Altogether = 36 + 12 = 48.",
      "hints": ["Sally is 3 times John, so divide 36 by 3 for John.", "Add Sally and John together."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 2"
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "What is the missing number in the box? 2/3 = [?]/18",
      "answer0": "12",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 80,
      "difficulty_id": 1,
      "explanation": "3 x 6 = 18, so multiply numerator by 6: 2 x 6 = 12. So 2/3 = 12/18.",
      "hints": ["What do you multiply 3 by to get 18?", "Multiply the numerator by the same number."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 12"
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Study the number pattern and fill in the missing number. 8824, 8624, 8424, [?], 8024, 7824",
      "answer0": "8224",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 69,
      "difficulty_id": 1,
      "explanation": "The pattern decreases by 200 each time. 8424 - 200 = 8224.",
      "hints": ["Find the difference between consecutive numbers.", "Each number is 200 less than the one before."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 8224"
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "Express 5048 m in kilometres and metres. [?] km [?] m",
      "answer0": "5",
      "answer1": "48",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 86,
      "difficulty_id": 1,
      "explanation": "1 km = 1000 m. 5048 m = 5000 m + 48 m = 5 km 48 m.",
      "hints": ["1 km = 1000 m.", "Split 5048 into thousands and the rest."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 5 km 48 m"
    },
    {
      "n": 14,
      "type_id": 2,
      "question": "Find the value of 40 [?] 5.",
      "answer0": "200",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 75,
      "difficulty_id": 1,
      "explanation": "40 x 5 = 200.",
      "hints": ["4 x 5 = 20.", "40 x 5 = 20 with a zero added = 200."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 200. Stem is '40 x 5 ='; single-value computation rendered with one [?] for the product."
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "What is the quotient when 293 is divided by 4?",
      "answer0": "73",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 74,
      "difficulty_id": 2,
      "explanation": "293 / 4 = 73 remainder 1. The quotient is 73.",
      "hints": ["Quotient is the whole-number result, not the remainder.", "73 x 4 = 292, leaving remainder 1."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q15",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 73"
    },
    {
      "n": 16,
      "type_id": 0,
      "question": "Line GH is drawn in the square grid. Draw a line parallel to GH passing through point P.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 101,
      "difficulty_id": 2,
      "explanation": "Draw a line through P with the same slope as GH (down 1 square for every 3 squares across, matching GH).",
      "hints": ["Parallel lines have the same slant.", "Match the rise and run of GH starting from P."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q16",
      "image_needed": true,
      "image_options": false,
      "image_file": "q16.png",
      "image_page": 7,
      "image_loc": "upper-middle of page, square grid with line GH (from G top-left sloping to H) and point P below G",
      "notes": "Key: line through P parallel to GH drawn on grid. Draw-on-figure task; type_id 0, skipped on insert."
    },
    {
      "n": 17,
      "type_id": 0,
      "question": "Look at the angles and put a tick in the correct box that describes the angle.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 99,
      "difficulty_id": 1,
      "explanation": "First angle = Acute angle; second angle = Obtuse angle.",
      "hints": ["Acute < right angle; obtuse > right angle.", "Compare each angle to a right angle (square corner)."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q17",
      "image_needed": true,
      "image_options": false,
      "image_file": "q17.png",
      "image_page": 7,
      "image_loc": "lower half of page, table with two drawn angles in the left column and Acute/Right/Obtuse tick columns",
      "notes": "Key: top angle = Acute, bottom angle = Obtuse. Tick-the-table task; type_id 0, skipped on insert."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "What is the sum of 1903 and 3604?",
      "answer0": "5507",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 70,
      "difficulty_id": 1,
      "explanation": "1903 + 3604 = 5507.",
      "hints": ["Add the ones, tens, hundreds, then thousands.", "3 + 4 = 7 ones; no regrouping needed."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q18",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 5507"
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "Beaker A contains some water. How much water is in Beaker A? [?] ml",
      "answer0": "150",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 442,
      "difficulty_id": 2,
      "explanation": "The beaker is marked to 500 ml; the water level reads 150 ml.",
      "hints": ["Look at the scale markings on the beaker.", "Read the level the water reaches."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q19",
      "image_needed": true,
      "image_options": false,
      "image_file": "q19.png",
      "image_page": 8,
      "image_loc": "middle of page, beaker labelled '500 ml' at top with shaded water near the bottom, captioned 'Beaker A'",
      "notes": "Key: 150 ml. Read volume from the beaker scale."
    },
    {
      "n": 20,
      "type_id": 2,
      "question": "What fraction of the figure is shaded? [?]",
      "answer0": "3/10",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 78,
      "difficulty_id": 2,
      "explanation": "The figure is a 2x5 grid (10 equal parts) with 3 squares shaded. Shaded fraction = 3/10.",
      "hints": ["Count the total number of equal parts.", "Count how many are shaded; write shaded over total."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q20",
      "image_needed": true,
      "image_options": false,
      "image_file": "q20.png",
      "image_page": 8,
      "image_loc": "lower half of page, 2-row by 5-column grid with 3 shaded squares",
      "notes": "Key: 3/10. Answer is a fraction (simplest form already)."
    },
    {
      "n": 21,
      "type_id": 2,
      "question": "(a) Use all the number cards 0, 8, 1, 3 to form the greatest 4-digit number. Each card can only be used once. (b) Use all the number cards 5, 2, 3, 7 to form the smallest 4-digit number divisible by 5. Each card can only be used once. (a) [?] (b) [?]",
      "answer0": "8310",
      "answer1": "2375",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 68,
      "difficulty_id": 2,
      "explanation": "(a) Largest uses digits in descending order: 8310. (b) Divisible by 5 ends in 5; arrange remaining 2,3,7 smallest first: 2375.",
      "hints": ["For the greatest number, put the biggest digit first.", "Divisible by 5 means the last digit is 0 or 5."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q21",
      "image_needed": true,
      "image_options": false,
      "image_file": "q21.png",
      "image_page": 9,
      "image_loc": "two rows of number cards: part (a) shows 0 8 1 3, part (b) shows 5 2 3 7",
      "notes": "Key: (a) 8310, (b) 2375. Number cards are decorative; the digits are in the stem so the figure is optional."
    },
    {
      "n": 22,
      "type_id": 2,
      "question": "The sum of two numbers is 95. The smaller number is 38. What is the greater number?",
      "answer0": "57",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 1,
      "explanation": "95 - 38 = 57.",
      "hints": ["Subtract the smaller number from the sum.", "95 - 38 = 57."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q22",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 57"
    },
    {
      "n": 23,
      "type_id": 2,
      "question": "The bar graph shows Cindy's savings from January to March. How much money did Cindy save from January to March? $[?]",
      "answer0": "125",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "Jan = $20, Feb = $60, Mar = $45. Total = 20 + 60 + 45 = $125.",
      "hints": ["Read each month's bar height.", "Add the three months together."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q23",
      "image_needed": true,
      "image_options": false,
      "image_file": "q23.png",
      "image_page": 10,
      "image_loc": "upper half of page, vertical bar graph 'Savings ($)' for Jan/Feb/Mar (bars 20, 60, 45)",
      "notes": "Key: $125 (20 + 60 + 45). Answer line is prefixed with $, so answer0 is the numeric amount."
    },
    {
      "n": 24,
      "type_id": 2,
      "question": "Mei Ling spent 45 min to complete her English homework and 58 min to complete her Science homework. How long did she spend to complete both of her homework? Express your answer in hours and minutes. [?] h [?] min",
      "answer0": "1",
      "answer1": "43",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 91,
      "difficulty_id": 2,
      "explanation": "45 + 58 = 103 min = 60 min + 43 min = 1 h 43 min.",
      "hints": ["Add the two times in minutes first.", "60 min = 1 h; convert the total."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q24",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1 h 43 min"
    },
    {
      "n": 25,
      "type_id": 2,
      "question": "Kent is 12 years old now. His uncle is 4 times as old as him. How old is his uncle? [?] years",
      "answer0": "48",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 73,
      "difficulty_id": 1,
      "explanation": "12 x 4 = 48 years.",
      "hints": ["4 times as old means multiply by 4.", "12 x 4 = 48."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q25",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 48 years"
    },
    {
      "n": 26,
      "type_id": 2,
      "question": "(a) Find the value of 2/3 - 2/9 . Express your answer in the simplest form. (b) Find the value of 1/2 + 3/8 . Express your answer in the simplest form. (a) [?] (b) [?]",
      "answer0": "4/9",
      "answer1": "7/8",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 441,
      "difficulty_id": 2,
      "explanation": "(a) 2/3 = 6/9; 6/9 - 2/9 = 4/9. (b) 1/2 = 4/8; 4/8 + 3/8 = 7/8.",
      "hints": ["Make the denominators the same before adding/subtracting.", "(a) use ninths; (b) use eighths."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q26",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: (a) 4/9, (b) 7/8"
    },
    {
      "n": 27,
      "type_id": 2,
      "question": "The graph shows the number of each type of bun sold by ABC Bakery. There is an ink blot covering part of the graph. ABC bakery sold a total of 196 buns. How many cheese buns were sold?",
      "answer0": "64",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 3,
      "explanation": "Floss = 32, Coffee = 44, Kaya = 56. Known total = 32 + 44 + 56 = 132. Cheese = 196 - 132 = 64.",
      "hints": ["Read the bars you can see (Floss, Coffee, Kaya).", "Subtract their total from 196 to find the hidden cheese bar."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q27",
      "image_needed": true,
      "image_options": false,
      "image_file": "q27.png",
      "image_page": 12,
      "image_loc": "upper half of page, horizontal bar graph (Cheese/Floss/Coffee/Kaya vs Number of buns sold) with a star-shaped ink blot over the Cheese bar",
      "notes": "Key: 64 (Floss 32 + Coffee 44 + Kaya 56 = 132; 196 - 132 = 64)."
    },
    {
      "n": 28,
      "type_id": 2,
      "question": "Caili had 338 sweets. She packed them into as many bags of 9 sweets as she could. Some sweets were left unpacked. How many sweets were left unpacked?",
      "answer0": "5",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 74,
      "difficulty_id": 2,
      "explanation": "338 / 9 = 37 remainder 5. So 5 sweets were left unpacked.",
      "hints": ["Divide 338 by 9.", "The remainder is the number left unpacked."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q28",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 5 (338 / 9 = 37 R5)"
    },
    {
      "n": 29,
      "type_id": 2,
      "question": "A toy cost 85¢ and a pencil case cost $5.70. What was the total cost of the toy and the pencil case? $[?]",
      "answer0": "6.55",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 82,
      "difficulty_id": 2,
      "explanation": "85¢ = $0.85. $5.70 + $0.85 = $6.55.",
      "hints": ["Convert 85 cents to $0.85.", "Add the two amounts in dollars."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q29",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: $6.55. Answer line prefixed with $."
    },
    {
      "n": 30,
      "type_id": 2,
      "question": "On Saturday, 5304 people borrowed books from the library. 785 more people borrowed books on Saturday than on Sunday. How many people borrowed books on Sunday?",
      "answer0": "4519",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 2,
      "explanation": "Sunday = 5304 - 785 = 4519.",
      "hints": ["Saturday had 785 MORE, so Sunday is fewer.", "Subtract 785 from 5304."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q30",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 4519"
    },
    {
      "n": 31,
      "type_id": 2,
      "question": "Tom bought 376 stickers. Keith had 5 times as many stickers as Tom. How many stickers did they have altogether?",
      "answer0": "2256",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "Keith = 376 x 5 = 1880. Altogether = 376 + 1880 = 2256. (Key shows 376 x 6 = 2256, combining Tom's 1 unit and Keith's 5 units.)",
      "hints": ["Keith has 5 units, Tom has 1 unit, so 6 units altogether.", "376 x 6 = 2256."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q31",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 2256 (376 x 6)"
    },
    {
      "n": 32,
      "type_id": 2,
      "question": "Johan had 3 times as many colour pencils as Ali. They had 64 colour pencils altogether. How many more colour pencils did Johan have than Ali?",
      "answer0": "32",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Total 4 units = 64, so 1 unit = 16. Ali = 16, Johan = 48. Difference = 48 - 16 = 32 (or 2 units = 2 x 16 = 32).",
      "hints": ["Johan 3 units + Ali 1 unit = 4 units = 64.", "Difference is 2 units."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q32",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 32 (64 / 4 = 16; 16 x 2 = 32)"
    },
    {
      "n": 33,
      "type_id": 2,
      "question": "Lucy has 31 stamps less than Alan. They have 107 stamps altogether. How many stamps does Lucy have?",
      "answer0": "38",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 3,
      "explanation": "Remove the 31 difference: 107 - 31 = 76, which is 2 equal parts. Lucy = 76 / 2 = 38.",
      "hints": ["Subtract the 31 difference from the total first.", "Then split the remainder into 2 equal parts for Lucy."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q33",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 38 (107 - 31 = 76; 76 / 2 = 38)"
    },
    {
      "n": 34,
      "type_id": 2,
      "question": "May Han had $5 more than Wei Ming. Wei Ming gave $6 to May Han. How much more money did May Han have than Wei Ming in the end? $[?]",
      "answer0": "17",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 3,
      "explanation": "Initial difference $5. Wei Ming gives $6: May Han +$6, Wei Ming -$6, so the gap widens by $12. New difference = $5 + $12 = $17. (Key: 6 + 5 = 11; 11 + 6 = $17.)",
      "hints": ["Each $6 transferred changes the gap by $12 (one gains, one loses).", "Add the change to the original $5 difference."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q34",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: $17. Answer line prefixed with $."
    },
    {
      "n": 35,
      "type_id": 2,
      "question": "Mrs Han baked some muffins for a party. She packed the muffins into 35 boxes. In each box, there were 9 muffins. There were 7 muffins left in the oven. How many muffins did Mrs Han bake altogether?",
      "answer0": "322",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "Packed = 35 x 9 = 315. Total = 315 + 7 = 322 muffins.",
      "hints": ["Multiply boxes by muffins per box.", "Add the 7 left in the oven."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q35",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 322 muffins"
    },
    {
      "n": 36,
      "type_id": 2,
      "question": "Figures A, B, C and D are drawn in the 1-cm square grid. (a) What is the perimeter of figure C? (b) Which 2 figures have the same perimeter? (c) What is the total area of figures A, B, C and D? (a) [?] cm (b) Figures [?] and [?] (c) [?] cm²",
      "answer0": "12",
      "answer1": "A",
      "answer2": "D",
      "answer3": "17",
      "correct_answer": null,
      "skill_id": 96,
      "difficulty_id": 3,
      "explanation": "(a) Figure C (plus/cross shape) has perimeter 12 cm. (b) Figures A and D have the same perimeter. (c) Total area of A, B, C, D = 17 cm² (counting shaded unit squares).",
      "hints": ["Perimeter is the distance around the outside; count grid edges.", "Area is the number of shaded 1-cm squares."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q36",
      "image_needed": true,
      "image_options": false,
      "image_file": "q36.png",
      "image_page": 16,
      "image_loc": "upper half of page, 1-cm square grid with four shaded figures A, B, C, D",
      "notes": "Key: (a) 12 cm, (b) Figures A and D, (c) 17 cm². Multi-part; answer1/answer2 are figure letters for part (b)."
    },
    {
      "n": 37,
      "type_id": 2,
      "question": "A bus travelled from bus stop A to bus stop B and then bus stop C. (a) What is the distance from bus stop B to bus stop C? (b) What is the difference in distance travelled from bus stop A to B and the distance travelled from bus stop B to C? (a) [?] m (b) [?] m",
      "answer0": "3075",
      "answer1": "1150",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 3,
      "explanation": "(a) A to C = 5 km = 5000 m; A to B = 1925 m; B to C = 5000 - 1925 = 3075 m. (b) Difference = 3075 - 1925 = 1150 m.",
      "hints": ["Convert 5 km to 5000 m first.", "(a) total minus A-to-B; (b) subtract the two leg distances."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q37",
      "image_needed": true,
      "image_options": false,
      "image_file": "q37.png",
      "image_page": 17,
      "image_loc": "upper part of page, line diagram of bus stops A, B, C with A-B = 1925 m, B-C = ?, total A-C = 5 km",
      "notes": "Key: (a) 3075 m, (b) 1150 m"
    },
    {
      "n": 38,
      "type_id": 2,
      "question": "A pencil cost $1.90 and a storybook cost $5.30. Emily bought 2 pencils and a storybook. (a) How much did Emily pay altogether? (b) Emily paid for the items using a $50 note. How much change did she receive? (a) $[?] (b) $[?]",
      "answer0": "9.10",
      "answer1": "40.90",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 3,
      "explanation": "(a) 2 pencils = $1.90 x 2 = $3.80; total = $3.80 + $5.30 = $9.10. (b) Change = $50 - $9.10 = $40.90.",
      "hints": ["First find the cost of 2 pencils, then add the storybook.", "Change = amount paid minus total cost."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q38",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: (a) $9.10, (b) $40.90. Answer lines prefixed with $."
    },
    {
      "n": 39,
      "type_id": 2,
      "question": "Michael started exercising at 1.45 p.m. He completed his exercise in 35 minutes. (a) At what time did he complete his exercise? (b) After completing his exercise, Michael watched a movie. The movie ended at 4 p.m. How long did the movie last? Give your answer in hour and minutes. (a) [?] (b) [?]",
      "answer0": "2.20 p.m.",
      "answer1": "1 h 40 min",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 92,
      "difficulty_id": 3,
      "explanation": "(a) 1.45 p.m. + 35 min = 2.20 p.m. (b) From 2.20 p.m. to 4.00 p.m. = 1 h 40 min.",
      "hints": ["(a) Add 35 minutes to 1.45 p.m.", "(b) Count the time from the movie's start (2.20 p.m.) to 4 p.m."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q39",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: (a) 2.20 p.m., (b) 1 h 40 min"
    },
    {
      "n": 40,
      "type_id": 2,
      "question": "A shop sold a cupcake for $3 and 3 cupcakes for $8. (a) Mr Lee bought 4 cupcakes. What was the least amount of money he paid? (b) Mrs Siva paid $51 for some cupcakes. What was the greatest number of cupcakes Mrs Siva bought? (a) $[?] (b) [?]",
      "answer0": "11",
      "answer1": "19",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "(a) Cheapest 4 = one bundle of 3 ($8) + 1 single ($3) = $11. (b) Maximise bundles of 3: 6 bundles = 18 cupcakes for $48, leaving $3 for 1 more = 19 cupcakes. ($48 + $3 = $51.)",
      "hints": ["Bundles of 3 for $8 are cheaper per cupcake than $3 each.", "(b) Use as many $8 bundles as possible, then singles with the remaining money."],
      "source": "Pei Chun 2022 P3 Semestral Assessment 2 Q40",
      "image_needed": true,
      "image_options": false,
      "image_file": "q40.png",
      "image_page": 20,
      "image_loc": "right side of part (a), boxed picture of 3 cupcakes labelled '3 cupcakes for $8'",
      "notes": "Key: (a) $11, (b) 19. Figure is the '3 cupcakes for $8' offer illustration; pricing is in the stem so figure is optional."
    }
  ]
}