{
  "paper": {
    "school": "Nan Hua",
    "year": 2022,
    "level": "P3",
    "label": "Semestral Assessment 2",
    "source_prefix": "Nan Hua 2022 P3 Semestral Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "In the number 1234, what digit is in the ones place?",
      "answer0": "1",
      "answer1": "2",
      "answer2": "3",
      "answer3": "4",
      "correct_answer": 3,
      "skill_id": 66,
      "difficulty_id": 1,
      "explanation": "In 1234, the ones place is the last digit, which is 4.",
      "hints": ["The ones place is the rightmost digit.", "Read the digit furthest to the right."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4 (=4)."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Which of the following has the greatest value?",
      "answer0": "6 × 7",
      "answer1": "4 × 9",
      "answer2": "8 × 8",
      "answer3": "5 × 10",
      "correct_answer": 2,
      "skill_id": 73,
      "difficulty_id": 1,
      "explanation": "6×7=42, 4×9=36, 8×8=64, 5×10=50. The greatest is 8×8=64.",
      "hints": ["Work out each product.", "Compare the four results."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 3 (8×8)."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "[?] ÷ 6 = 156. What is the missing number in the box?",
      "answer0": "26",
      "answer1": "260",
      "answer2": "932",
      "answer3": "936",
      "correct_answer": 3,
      "skill_id": 75,
      "difficulty_id": 2,
      "explanation": "The missing number = 156 × 6 = 936.",
      "hints": ["To find the dividend, multiply quotient by divisor.", "156 × 6 = ?"],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4 (936). Box shown as [?] inline."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Arrange the following numbers from the largest to the smallest.\n5836, 5386, 5638",
      "answer0": "5386, 5638, 5836",
      "answer1": "5836, 5638, 5386",
      "answer2": "5386, 5836, 5638",
      "answer3": "5836, 5386, 5638",
      "correct_answer": 1,
      "skill_id": 68,
      "difficulty_id": 2,
      "explanation": "Largest to smallest: 5836, 5638, 5386 (compare hundreds then tens digits).",
      "hints": ["All have the same thousands digit; compare the hundreds digit.", "Largest hundreds first."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 (5836, 5638, 5386). MCQ kept as printed (ordering already provided as options)."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "What is the missing number in the box?\n2/8 = [?]/12",
      "answer0": "6",
      "answer1": "8",
      "answer2": "3",
      "answer3": "4",
      "correct_answer": 2,
      "skill_id": 80,
      "difficulty_id": 2,
      "explanation": "2/8 = 1/4. 1/4 = 3/12, so the missing numerator is 3.",
      "hints": ["Simplify 2/8 first.", "Find the equivalent fraction with denominator 12."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 3 (=3)."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "48 has the same value as ___.",
      "answer0": "8 + 8 + 8 + 8 + 8 + 8",
      "answer1": "6 × 6 × 6 × 6 × 6 × 6 × 6 × 6",
      "answer2": "6 + 6 + 6 + 6 + 6 + 6",
      "answer3": "8 × 8 × 8 × 8 × 8 × 8",
      "correct_answer": 0,
      "skill_id": 73,
      "difficulty_id": 1,
      "explanation": "48 = 6 groups of 8 = 8 + 8 + 8 + 8 + 8 + 8 = 6 × 8.",
      "hints": ["Repeated addition of 8 means groups of 8.", "8 × 6 = 48."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 1 (8+8+8+8+8+8)."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "Which of the following shows the time in the clock?",
      "answer0": "18 minutes past 7",
      "answer1": "18 minutes to 8",
      "answer2": "42 minutes to 7",
      "answer3": "42 minutes past 8",
      "correct_answer": 1,
      "skill_id": 89,
      "difficulty_id": 2,
      "explanation": "The clock reads about 7:42 — the minute hand at 42 minutes, so the time is 18 minutes to 8.",
      "hints": ["Read the minute hand position.", "Past the half-hour, use 'minutes to' the next hour."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q7",
      "image_needed": true,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 (18 minutes to 8). Figure: clock face, image_page 3, centre of page below the question."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "What fraction of the figure is shaded? Express your answer in the simplest form.",
      "answer0": "1/4",
      "answer1": "1/8",
      "answer2": "1/2",
      "answer3": "1/7",
      "correct_answer": 1,
      "skill_id": 78,
      "difficulty_id": 2,
      "explanation": "The shaded tilted square covers 2 of the 16 unit squares = 2/16 = 1/8.",
      "hints": ["Count the unit squares the shaded region covers.", "Simplify the fraction."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q8",
      "image_needed": true,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 (1/8). Figure: 4×4 grid with shaded diamond, image_page 4, below the question."
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "James and Jane were given the same amount of money. Jane paid $29.50 for a book and saved $25.50. James spent $49.95 on a toy car. How much did James save?",
      "answer0": "$4.05",
      "answer1": "$5.05",
      "answer2": "$5.15",
      "answer3": "$45.15",
      "correct_answer": 1,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "Jane had $29.50 + $25.50 = $55.00, so James also had $55.00. James saved $55.00 − $49.95 = $5.05.",
      "hints": ["Find the total amount each was given from Jane's spending and saving.", "Subtract James's spending from that total."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 ($5.05)."
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "What is the mass of the sack of rice?",
      "answer0": "360 g",
      "answer1": "600 g",
      "answer2": "3060 g",
      "answer3": "3600 g",
      "correct_answer": 3,
      "skill_id": 86,
      "difficulty_id": 2,
      "explanation": "The scale (0–3 kg) needle points just past 3.5 between 3 and 0; reading is 3.6 kg = 3600 g.",
      "hints": ["Read the kilogram scale, then convert to grams.", "1 kg = 1000 g."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q10",
      "image_needed": true,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4 (3600 g), so the dial reads 3.6 kg. Figure: weighing scale with sack, image_page 5, below the question."
    },
    {
      "n": 11,
      "type_id": 1,
      "question": "The difference between 8000 and 1068 is ___.",
      "answer0": "6142",
      "answer1": "6932",
      "answer2": "6942",
      "answer3": "7068",
      "correct_answer": 1,
      "skill_id": 70,
      "difficulty_id": 1,
      "explanation": "8000 − 1068 = 6932.",
      "hints": ["Difference means subtract.", "8000 − 1068 = ?"],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 (6932)."
    },
    {
      "n": 12,
      "type_id": 1,
      "question": "Find the cost of 2 packs of chips and a bun.",
      "answer0": "$5.45",
      "answer1": "$9.40",
      "answer2": "$10.40",
      "answer3": "$14.90",
      "correct_answer": 2,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "Chips $4.95 each: 2 × $4.95 = $9.90. Bun 50 cents = $0.50. Total $9.90 + $0.50 = $10.40.",
      "hints": ["A pack of chips is $4.95; a bun is 50 cents.", "Two packs of chips plus one bun."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q12",
      "image_needed": true,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 3 ($10.40). Figure: chips pack ($4.95) and bun (50 cents) with price labels, image_page 6, below the question."
    },
    {
      "n": 13,
      "type_id": 1,
      "question": "How many obtuse angles are there in the figure?",
      "answer0": "1",
      "answer1": "2",
      "answer2": "3",
      "answer3": "4",
      "correct_answer": 1,
      "skill_id": 99,
      "difficulty_id": 2,
      "explanation": "The arrow-shaped figure has 2 angles greater than a right angle (obtuse angles).",
      "hints": ["An obtuse angle is larger than a right angle but smaller than a straight angle.", "Check each corner of the figure."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q13",
      "image_needed": true,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 (2). Figure: arrow/chevron shape, image_page 6, below the question."
    },
    {
      "n": 14,
      "type_id": 1,
      "question": "The figure shows 4 bottles A, B, C and D of different capacities. Arrange the bottles starting from the smallest capacity to the greatest capacity.",
      "answer0": "A, B, C, D",
      "answer1": "B, A, C, D",
      "answer2": "D, B, C, A",
      "answer3": "A, C, B, D",
      "correct_answer": 3,
      "skill_id": 86,
      "difficulty_id": 2,
      "explanation": "A = 1 L 800 ml = 1800 ml, B = 2 L 80 ml = 2080 ml, C = 1950 ml, D = 2100 ml. Smallest to greatest: A (1800), C (1950), B (2080), D (2100).",
      "hints": ["Convert all capacities to ml first.", "1 L = 1000 ml."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q14",
      "image_needed": true,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4 (A, C, B, D). Figure: 4 labelled bottles with capacity labels (1 L 800 ml, 2 L 80 ml, 1950 ml, 2100 ml), image_page 7, below the question."
    },
    {
      "n": 15,
      "type_id": 1,
      "question": "Cindy leaves home at 6.23 a.m. and reaches school at 7.10 a.m. Kaixin leaves home at 6.46 a.m. and reaches school at 7.23 a.m. Who takes a shorter time to travel to school and how much shorter does she take?",
      "answer0": "Cindy, 10 minutes shorter",
      "answer1": "Cindy, 36 minutes shorter",
      "answer2": "Kaixin, 10 minutes shorter",
      "answer3": "Kaixin, 36 minutes shorter",
      "correct_answer": 2,
      "skill_id": 92,
      "difficulty_id": 2,
      "explanation": "Cindy: 6.23 to 7.10 = 47 min. Kaixin: 6.46 to 7.23 = 37 min. Kaixin is shorter by 47 − 37 = 10 min.",
      "hints": ["Find each person's travelling duration.", "Compare the two durations."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q15",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 3 (Kaixin, 10 minutes shorter)."
    },
    {
      "n": 16,
      "type_id": 1,
      "question": "The picture graph shows the number of books borrowed in the school library from Wednesday to Friday. How many more books were borrowed on Friday than on Thursday? Each symbol stands for 4 books.",
      "answer0": "12",
      "answer1": "16",
      "answer2": "24",
      "answer3": "4",
      "correct_answer": 1,
      "skill_id": 64,
      "difficulty_id": 2,
      "explanation": "Friday = 6 symbols = 24 books; Thursday = 2 symbols = 8 books. 24 − 8 = 16.",
      "hints": ["Each symbol = 4 books; count symbols for each day.", "Subtract Thursday's total from Friday's total."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q16",
      "image_needed": true,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2 (16); implies Friday 6 symbols, Thursday 2 symbols. Figure: picture graph (Wed/Thu/Fri rows), image_page 8, below the question."
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "Write five thousand and twenty-one in numerals.\n[?]",
      "answer0": "5021",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 67,
      "difficulty_id": 1,
      "explanation": "Five thousand and twenty-one = 5021.",
      "hints": ["5 thousands, 0 hundreds, 2 tens, 1 one.", "Write the digit in each place."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q17",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 5021. Numeric answer, kept as FIB."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "Arrange the following fractions from the smallest to the largest.\n2/7 , 4/5 , 4/7\n[?] , [?] , [?]",
      "answer0": "2/7",
      "answer1": "4/7",
      "answer2": "4/5",
      "answer3": null,
      "correct_answer": null,
      "skill_id": 79,
      "difficulty_id": 2,
      "explanation": "2/7 and 4/7 share denominator 7, so 2/7 < 4/7. 4/5 is close to 1, larger than 4/7. Order: 2/7, 4/7, 4/5.",
      "hints": ["Compare fractions with the same denominator first.", "4/5 is nearly a whole."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q18",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 2/7, 4/7, 4/5 (smallest to largest). Ordering -> FIB, one blank per position."
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "Find the value of 1/3 − 1/6.\n[?]",
      "answer0": "1/6",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 81,
      "difficulty_id": 2,
      "explanation": "1/3 = 2/6, so 2/6 − 1/6 = 1/6.",
      "hints": ["Convert 1/3 to sixths.", "Subtract the like fractions."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q19",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1/6."
    },
    {
      "n": 20,
      "type_id": 2,
      "question": "Study the number pattern. Fill in the missing number in the blank.\n1199, [?], 999, 899, 799",
      "answer0": "1099",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 69,
      "difficulty_id": 1,
      "explanation": "The pattern decreases by 100 each time: 1199 − 100 = 1099.",
      "hints": ["Find the difference between consecutive numbers.", "The numbers go down by 100."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q20",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1099 (1199-100)."
    },
    {
      "n": 21,
      "type_id": 2,
      "question": "Yasmine and Gina earned 780 points together at an arcade. Yasmine earned 5 times as many points as Gina. Gina decided to play one more game and earned another 25 points. How many points did Gina earn in the end?\n[?]",
      "answer0": "155",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "Together = 6 units = 780, so 1 unit = 130 = Gina. Then Gina earns 25 more: 130 + 25 = 155.",
      "hints": ["Yasmine + Gina = 6 equal units.", "Find one unit, then add 25."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q21",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 780÷6=130, 130+25=155."
    },
    {
      "n": 22,
      "type_id": 2,
      "question": "Amelia has 6 times as many beads as Bella. Bella has 936 beads. How many beads do they have altogether?\n[?]",
      "answer0": "6552",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "Together = 7 units of Bella's beads = 7 × 936 = 6552.",
      "hints": ["Amelia = 6 units, Bella = 1 unit, total = 7 units.", "7 × 936 = ?"],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q22",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 936×7=6552."
    },
    {
      "n": 23,
      "type_id": 2,
      "question": "Tim and Bob boarded a bus at 11.05 a.m. to go to a park. They reached the park 40 minutes later. They only left the park at 3.35 p.m. How long were they at the park?\n[?] h [?] min",
      "answer0": "3",
      "answer1": "50",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 93,
      "difficulty_id": 2,
      "explanation": "They reached the park at 11.05 + 40 min = 11.45 a.m. From 11.45 a.m. to 3.35 p.m. = 3 h 50 min.",
      "hints": ["First find the arrival time at the park.", "Count hours then minutes to 3.35 p.m."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q23",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 3h 50min. Answer box has h and min labels -> two blanks."
    },
    {
      "n": 24,
      "type_id": 2,
      "question": "The bar graph shows the number of hours students used the internet on a Saturday.\na) How many students used the internet for at least 4 hours?\nb) How many students used the internet for more than 1 hour but less than 4 hours?\n[?] , [?]",
      "answer0": "24",
      "answer1": "56",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "From the graph: 1h=26, 2h=34, 3h=22, 4h=16, more than 4h=8. (a) at least 4 hours = 16 + 8 = 24. (b) more than 1 but less than 4 hours = 34 + 22 = 56.",
      "hints": ["Read each bar's height.", "'At least 4' includes 4 and more-than-4; 'more than 1 but less than 4' is the 2h and 3h bars."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q24",
      "image_needed": true,
      "image_options": false,
      "image_file": null,
      "notes": "Key: (a) 16+8=24, (b) 34+22=56. Two-part -> two blanks. Figure: bar graph 'Students' internet usage on a Saturday', image_page 11, top of page below the question."
    },
    {
      "n": 25,
      "type_id": 2,
      "question": "A group of teachers made 912 cupcakes for students at a carnival. Each student gets four cupcakes. How many students were there?\n[?]",
      "answer0": "228",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "912 ÷ 4 = 228 students.",
      "hints": ["Divide the total cupcakes by cupcakes per student.", "912 ÷ 4 = ?"],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q25",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 912÷4=228."
    },
    {
      "n": 26,
      "type_id": 0,
      "question": "Use a ruler to copy the given figure in the square grid provided.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 101,
      "difficulty_id": 2,
      "explanation": "Copy the line figure onto the blank square grid by matching grid coordinates.",
      "hints": [],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q26",
      "image_needed": true,
      "image_options": false,
      "image_file": null,
      "notes": "Interactive draw-on-grid task, no value answer -> type_id 0 (SKIPPED on insert). Key shows the completed copied figure. Figure: source grid figure, image_page 12, left side below the question."
    },
    {
      "n": 27,
      "type_id": 2,
      "question": "What is the remainder when 746 divided by 8?\n[?]",
      "answer0": "2",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 74,
      "difficulty_id": 2,
      "explanation": "746 ÷ 8 = 93 remainder 2.",
      "hints": ["8 × 93 = 744.", "746 − 744 = remainder."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q27",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 746÷8=93R2, Ans: 2."
    },
    {
      "n": 28,
      "type_id": 2,
      "question": "Mr. Jenson added 350 to a number. He then subtracted 28 from the answer to get 546. What is the number?\n[?]",
      "answer0": "224",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 2,
      "explanation": "Work backwards: 546 + 28 = 574, then 574 − 350 = 224.",
      "hints": ["Reverse the operations: add back 28, then subtract 350.", "546 + 28 = 574."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q28",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 546+28=574, 574-350=224."
    },
    {
      "n": 29,
      "type_id": 2,
      "question": "The picture shows two Christmas trees. One of the trees is placed on a 10-cm tall box. How much taller is Christmas tree B than A?\n[?] cm",
      "answer0": "22",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 3,
      "explanation": "Tree A height = 32 cm. Total stack on right = 163 cm, box = 10 cm, so tree B = 163 − 10 = 153... the printed working: 163−32=131, then 153−131=22, giving tree B is 22 cm taller than A.",
      "hints": ["Find tree A's height and tree B's height first.", "Subtract the box height where it applies."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q29",
      "image_needed": true,
      "image_options": false,
      "image_file": null,
      "notes": "Key working: 163-10=153, 163-32=131, 153-131=22. Ans 22 cm. Figure: two trees A and B with 32 cm, 163 cm, 10 cm box labels, image_page 13, below the question."
    },
    {
      "n": 30,
      "type_id": 2,
      "question": "The total mass of the three bags A, B and C is 60 kg. The mass of B and C is 50 kg. B is heavier than A by 5 kg. What is the mass of B?\n[?] kg",
      "answer0": "15",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 3,
      "explanation": "A = 60 − 50 = 10 kg. B = A + 5 = 10 + 5 = 15 kg.",
      "hints": ["Find A first from the two totals.", "B is 5 kg heavier than A."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q30",
      "image_needed": true,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 60-50=10, 10+5=15. Ans 15 kg. Figure: three labelled bags A, B, C, image_page 14, below the question (decorative; values are in text)."
    },
    {
      "n": 31,
      "type_id": 2,
      "question": "A gift pack can hold up to 6 sweets. What is the least number of gift packs needed to pack all 350 sweets?\n[?]",
      "answer0": "59",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "350 ÷ 6 = 58 remainder 2. The 2 leftover sweets need one more pack, so 58 + 1 = 59 packs.",
      "hints": ["Divide 350 by 6.", "Any remainder needs an extra pack."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q31",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 350÷6=58R2, 58+1=59."
    },
    {
      "n": 32,
      "type_id": 2,
      "question": "Mdm Ng saved $138 more than Mr Tan. Mdm Ng gave Mr Tan $40. How much more money did Mdm Ng have than Mr Tan in the end?\n[?]",
      "answer0": "58",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 3,
      "explanation": "Giving $40 reduces Mdm Ng by 40 and increases Mr Tan by 40, so the gap shrinks by 80: 138 − 80 = 58.",
      "hints": ["Giving away money changes the difference by twice the amount.", "138 − (40 + 40) = ?"],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q32",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 40+40=80, 138-80=58. Answer box has $ label; value 58."
    },
    {
      "n": 33,
      "type_id": 2,
      "question": "Xiuli took a quiz consisting of 14 questions. For every correct answer, 4 points were awarded. For every wrong answer, 3 points were deducted. Xiuli scored a total of 14 points. How many questions did she answer correctly?\n[?]",
      "answer0": "8",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "If all 14 correct = 56 points. Each wrong instead of correct loses 4+3=7 points. 56−14=42 lost, 42÷7=6 wrong, so 14−6=8 correct. Check: 8×4=32, 6×3=18, 32−18=14.",
      "hints": ["Assume all correct first, then account for the points lost per wrong answer.", "Each wrong answer costs 7 points compared with a correct one."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q33",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 8×4=32, 6×3=18, 32-18=14, Ans 8."
    },
    {
      "n": 34,
      "type_id": 2,
      "question": "A group of teachers and students joined a virtual choir. There were 21 more teachers than students. There were 42 male teachers and 20 female students. The number of female students was the same as female teachers. How many more male students than female students were there?\n[?]",
      "answer0": "1",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 3,
      "explanation": "Female teachers = female students = 20, so teachers = 42 + 20 = 62. Students = 62 − 21 = 41. Male students = 41 − 20 = 21. More male than female students = 21 − 20 = 1.",
      "hints": ["Find total teachers, then total students.", "Male students = total students − female students."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q34",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 42-21=21, 21-20=1, Ans 1. (Key working shown as 42-21=21 then 21-20=1.)"
    },
    {
      "n": 35,
      "type_id": 2,
      "question": "The mass of a box with 6 identical blocks is 500g. After 5 blocks were removed, the mass of the box with the remaining block is 100g.\na) What is the mass of each block?\nb) What is the mass of the box?\n[?] , [?]",
      "answer0": "80 g",
      "answer1": "20 g",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 3,
      "explanation": "Removing 5 blocks reduced the mass by 500 − 100 = 400 g, so each block = 400 ÷ 5 = 80 g. Box = 100 − 80 = 20 g (box plus 1 block is 100 g).",
      "hints": ["The 400 g drop equals the mass of 5 blocks.", "Subtract one block's mass from 100 g to get the box."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q35",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: (a) 400÷5=80g, (b) 100-80=20g. Two parts -> two blanks."
    },
    {
      "n": 36,
      "type_id": 2,
      "question": "57 participants went to attend a meeting and similar chairs were arranged in a row from one end of the hall to another end. A chair was placed one metre apart from each other. What is the distance between the 1st chair and the 57th chair? Leave your answer in centimetres.\n[?] cm",
      "answer0": "7310",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 3,
      "explanation": "Between 57 chairs there are 56 gaps of 1 m = 56 × 100 = 5600 cm. The two end chairs add their widths: each chair 30 cm wide; total chair widths between the outer edges add 1710 cm per the key (57 × 30 = 1710). 1710 + 5600 = 7310 cm.",
      "hints": ["57 chairs leave 56 one-metre gaps.", "Add the chair widths and the gaps, all in centimetres."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q36",
      "image_needed": true,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 57×30=1710, 57-1=56, 56×100=5600, 1710+5600=7310 cm. Ans 7310 cm. Figure: row of chairs with 1 m gaps and 30 cm width label, image_page 18, below the question."
    },
    {
      "n": 37,
      "type_id": 2,
      "question": "Susan had 50 ℓ of water. She poured the water into pails that could hold 7 ℓ each. She filled each pail completely and had 1 ℓ of water left. How many pails did Susan fill?\n[?]",
      "answer0": "7",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 2,
      "explanation": "Water used to fill pails = 50 − 1 = 49 ℓ. 49 ÷ 7 = 7 pails.",
      "hints": ["Subtract the leftover water first.", "Divide the remaining water by 7 litres per pail."],
      "source": "Nan Hua 2022 P3 Semestral Assessment 2 Q37",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 50-1=49, 49÷7=7."
    }
  ]
}