{
  "paper": {
    "school": "Nan Hua",
    "year": 2023,
    "level": "P3",
    "label": "Weighted Assessment",
    "source_prefix": "Nan Hua 2023 P3 Weighted Assessment",
    "has_answer_key": true,
    "notes": "Single PDF bundles three papers: Term 1 WA (pp.1-4, only Q1-7 + Q13 scanned; Q8-Q12 stems missing from scan, omitted), Term 2 WA (pp.5-12, full), Term 3 WA (pp.13-21, full). Answer keys on pp.23-24. Source labels carry T1/T2/T3 to disambiguate question numbers."
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "Which of the following is six thousand and forty-five in numerals?",
      "answer0": "6540",
      "answer1": "6450",
      "answer2": "6054",
      "answer3": "6045",
      "correct_answer": 3,
      "skill_id": 66,
      "difficulty_id": 1,
      "explanation": "Six thousand = 6000, and forty-five = 45. 6000 + 45 = 6045.",
      "hints": ["Six thousand is 6000.", "Forty-five fills the tens and ones places."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T1 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 4 (option 4 = 6045)."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "What is the value of the digit 7 in 8271?",
      "answer0": "7",
      "answer1": "70",
      "answer2": "700",
      "answer3": "7000",
      "correct_answer": 1,
      "skill_id": 66,
      "difficulty_id": 1,
      "explanation": "In 8271 the digit 7 is in the tens place, so its value is 70.",
      "hints": ["Find the place of the digit 7.", "7 is in the tens column."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T1 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 2 (option 2 = 70)."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Arrange the following numbers from the greatest to the smallest.\n2380, 2083, 2803",
      "answer0": "2380, 2803, 2083",
      "answer1": "2380, 2083, 2803",
      "answer2": "2803, 2380, 2083",
      "answer3": "2803, 2083, 2380",
      "correct_answer": 2,
      "skill_id": 68,
      "difficulty_id": 2,
      "explanation": "Compare thousands then hundreds: 2803 > 2380 > 2083.",
      "hints": ["Compare the hundreds digit when thousands are equal.", "Largest first."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T1 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Numbers shown in ovals (decorative). Key: 3 (option 3 = 2803, 2380, 2083)."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Find the difference between 3456 and 789.",
      "answer0": "2667",
      "answer1": "3135",
      "answer2": "3333",
      "answer3": "4245",
      "correct_answer": 0,
      "skill_id": 70,
      "difficulty_id": 2,
      "explanation": "3456 - 789 = 2667.",
      "hints": ["Difference means subtract.", "3456 - 789."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T1 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 1 (option 1 = 2667)."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "In the number pattern, what is the missing number?\n4100, 4135, 4170, _______, 4240, 4275",
      "answer0": "4195",
      "answer1": "4200",
      "answer2": "4205",
      "answer3": "4215",
      "correct_answer": 2,
      "skill_id": 69,
      "difficulty_id": 2,
      "explanation": "The pattern increases by 35 each time. 4170 + 35 = 4205.",
      "hints": ["Find the step between terms.", "4135 - 4100 = 35."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T1 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 3 (option 3 = 4205)."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "Write $6.05 in cents.",
      "answer0": "65 ¢",
      "answer1": "605 ¢",
      "answer2": "650 ¢",
      "answer3": "6005 ¢",
      "correct_answer": 1,
      "skill_id": 82,
      "difficulty_id": 1,
      "explanation": "$1 = 100 cents, so $6.05 = 600 + 5 = 605 cents.",
      "hints": ["$1 = 100 cents.", "$6.05 = 6 dollars and 5 cents."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T1 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 2 (option 2 = 605 cents)."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "Arrange the items from the most expensive to the cheapest.\nstorybook $18.95, bag $39.90, water bottle $20.50",
      "answer0": "bag, storybook, water bottle",
      "answer1": "bag, water bottle, storybook",
      "answer2": "storybook, water bottle, bag",
      "answer3": "water bottle, bag, storybook",
      "correct_answer": 1,
      "skill_id": 82,
      "difficulty_id": 2,
      "explanation": "Order prices high to low: bag $39.90 > water bottle $20.50 > storybook $18.95.",
      "hints": ["Most expensive first.", "Compare the dollar amounts."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T1 Q7",
      "image_needed": true,
      "image_options": false,
      "image_file": "q7.png",
      "image_page": 3,
      "image_loc": "middle of page, three labelled pictures (storybook, bag, water bottle) with prices below each",
      "notes": "Prices also stated in stem, so options are text. Key: 2 (option 2 = bag, water bottle, storybook)."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "6169 people were watching a soccer match. 4096 of them were men and the rest were women. How many fewer women than men were there?\n[?]",
      "answer0": "2023",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 71,
      "difficulty_id": 2,
      "explanation": "Women = 6169 - 4096 = 2073. Men - women = 4096 - 2073 = 2023.",
      "hints": ["First find the number of women.", "Then subtract women from men."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T1 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Section C [3]. Key: 6169-4096=2073; 4096-2073=2023 fewer women than men."
    },
    {
      "n": 14,
      "type_id": 1,
      "question": "6 fives is the same as _______.",
      "answer0": "6 x 6 x 6 x 6 x 6",
      "answer1": "6 + 6 + 6 + 6 + 6",
      "answer2": "5 x 5 x 5 x 5 x 5 x 5",
      "answer3": "5 + 5 + 5 + 5 + 5 + 5",
      "correct_answer": 3,
      "skill_id": 73,
      "difficulty_id": 1,
      "explanation": "6 fives means six groups of 5, i.e. 5 + 5 + 5 + 5 + 5 + 5.",
      "hints": ["'6 fives' = six groups of five.", "Repeated addition of 5, six times."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Term 2 paper Q1. Key: 4 (option 4)."
    },
    {
      "n": 15,
      "type_id": 1,
      "question": "Find the product of 309 and 7.",
      "answer0": "2102",
      "answer1": "2103",
      "answer2": "2163",
      "answer3": "2172",
      "correct_answer": 2,
      "skill_id": 75,
      "difficulty_id": 2,
      "explanation": "309 x 7 = 2163.",
      "hints": ["Product means multiply.", "309 x 7."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Term 2 Q2. Key: 3 (option 3 = 2163)."
    },
    {
      "n": 16,
      "type_id": 1,
      "question": "Which picture shows 5 multiply by 7?",
      "answer0": "Picture 1",
      "answer1": "Picture 2",
      "answer2": "Picture 3",
      "answer3": "Picture 4",
      "correct_answer": 2,
      "skill_id": 73,
      "difficulty_id": 2,
      "explanation": "5 x 7 = 5 groups of 7. Picture 3 shows 5 rows of 7 items.",
      "hints": ["5 x 7 means 5 groups of 7.", "Count rows and items per row."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T2 Q3",
      "image_needed": true,
      "image_options": true,
      "image_file": "q16.png",
      "image_page": 6,
      "image_loc": "top of page, four labelled arrays (1)-(4) of small squares",
      "notes": "Term 2 Q3. Image-option MCQ; crop each option q16_opt0..3.png. Key: 3 (option 3)."
    },
    {
      "n": 17,
      "type_id": 1,
      "question": "There were 72 chairs in the school hall. The prefects arranged 8 chairs in each row. How many rows of chairs did they arrange?",
      "answer0": "6",
      "answer1": "7",
      "answer2": "8",
      "answer3": "9",
      "correct_answer": 3,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "72 / 8 = 9 rows.",
      "hints": ["Divide total chairs by chairs per row.", "72 / 8."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T2 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Term 2 Q4. Key: 4 (option 4 = 9)."
    },
    {
      "n": 18,
      "type_id": 1,
      "question": "The librarian packed 384 books equally into 8 boxes for P1 classes to read during morning assembly. How many books did she pack in a box?",
      "answer0": "42",
      "answer1": "44",
      "answer2": "46",
      "answer3": "48",
      "correct_answer": 3,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "384 / 8 = 48 books per box.",
      "hints": ["Divide total books by number of boxes.", "384 / 8."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T2 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Term 2 Q5. Key: 4 (option 4 = 48)."
    },
    {
      "n": 19,
      "type_id": 1,
      "question": "The bar graph shows the items that Mdm Ong purchased to give away as prizes for P3 quizzes. She purchased 3 times as many puzzles as the _______.",
      "answer0": "file",
      "answer1": "highlighter",
      "answer2": "pencil case",
      "answer3": "coloured pencils",
      "correct_answer": 1,
      "skill_id": 102,
      "difficulty_id": 2,
      "explanation": "Puzzles = 180. 180 / 3 = 60, which matches the highlighter bar.",
      "hints": ["Read the puzzle bar value.", "Divide it by 3 and find the matching item."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T2 Q6",
      "image_needed": true,
      "image_options": false,
      "image_file": "q19.png",
      "image_page": 7,
      "image_loc": "upper-middle of page, horizontal bar graph titled 'Items for P3 Math Quiz'",
      "notes": "Term 2 Q6. Key: 2 (option 2 = highlighter)."
    },
    {
      "n": 20,
      "type_id": 1,
      "question": "Which class has collected a total of 184 plastic bottles?",
      "answer0": "6A",
      "answer1": "6B",
      "answer2": "6C",
      "answer3": "6D",
      "correct_answer": 3,
      "skill_id": 102,
      "difficulty_id": 2,
      "explanation": "Add the girls' and boys' bars for each class; 6D totals 184 bottles.",
      "hints": ["Add the boys' and girls' bars for each class.", "Find the class summing to 184."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T2 Q7",
      "image_needed": true,
      "image_options": false,
      "image_file": "q20.png",
      "image_page": 8,
      "image_loc": "top of page, stacked-bar graph '2022 Collection of Plastic Bottles For Recycling' (shared by Q20 and Q21)",
      "notes": "Term 2 Q7. Key: 4 (option 4 = 6D). Same graph serves T2 Q7 and Q8."
    },
    {
      "n": 21,
      "type_id": 1,
      "question": "Which class has 14 more plastic bottles collected by the girls than the boys?",
      "answer0": "6A",
      "answer1": "6B",
      "answer2": "6C",
      "answer3": "6D",
      "correct_answer": 2,
      "skill_id": 104,
      "difficulty_id": 3,
      "explanation": "For each class find girls minus boys; 6C has a difference of 14.",
      "hints": ["Find girls' bar minus boys' bar for each class.", "Look for a difference of 14."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T2 Q8",
      "image_needed": true,
      "image_options": false,
      "image_file": "q21.png",
      "image_page": 8,
      "image_loc": "top of page, same '2022 Collection of Plastic Bottles For Recycling' bar graph as Q20",
      "notes": "Term 2 Q8. Key: 3 (option 3 = 6C)."
    },
    {
      "n": 22,
      "type_id": 1,
      "question": "Jimmy spent $18.80 for lunch. Which two food items did he order?\nFrench fries $8.90, Ice-cream $7.90, Burger $9.90",
      "answer0": "French fries and Ice-cream",
      "answer1": "French fries and Burger",
      "answer2": "Ice-cream and Burger",
      "answer3": "French fries and French fries",
      "correct_answer": 1,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "$8.90 + $9.90 = $18.80, so French fries and Burger.",
      "hints": ["Try adding pairs of prices.", "Find the pair that totals $18.80."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T2 Q9",
      "image_needed": true,
      "image_options": false,
      "image_file": "q22.png",
      "image_page": 9,
      "image_loc": "top of page, three food pictures (French fries, Ice-cream, Burger) with price boxes",
      "notes": "Term 2 Q9, Section B [2]. Word-pair answer converted to MCQ (prices given in stem). Key: French fries, Burger."
    },
    {
      "n": 23,
      "type_id": 2,
      "question": "When a number is divided by 6, the quotient is 117 with remainder 1. What is the number?\n[?]",
      "answer0": "703",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 74,
      "difficulty_id": 2,
      "explanation": "Number = 117 x 6 + 1 = 702 + 1 = 703.",
      "hints": ["Number = quotient x divisor + remainder.", "117 x 6 + 1."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T2 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Term 2 Q10, Section B [2]. Key: 117x6=702; 702+1=703."
    },
    {
      "n": 24,
      "type_id": 2,
      "question": "The bar graph shows the number of books Sunshine Primary 3 students read during June holidays in 2022.\n(a) How many more boys than girls read only 1 book? [?]\n(b) How many girls read more than 2 books? [?]",
      "answer0": "4",
      "answer1": "100",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "(a) Boys reading 1 book = 8, girls = 4; 8 - 4 = 4. (b) Girls reading more than 2 books (3,4,5): 12 + 28 + 60 = 100.",
      "hints": ["Read each bar from the scale.", "For (b) add the girls' bars for 3, 4 and 5 books."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T2 Q11",
      "image_needed": true,
      "image_options": false,
      "image_file": "q24.png",
      "image_page": 10,
      "image_loc": "upper half of page, vertical double-bar graph (boys/girls) titled 'Number of books Sunshine Primary 3 students read during June holidays in 2022'",
      "notes": "Term 2 Q11, Section B [2]. answer0=(a)=4, answer1=(b)=100. Key: (a) 4; (b) 12+28+60=100."
    },
    {
      "n": 25,
      "type_id": 2,
      "question": "Randy bought two T-shirts from a shop. The amount of change he received is shown.\n(a) How much change did Randy receive? $[?]\n(b) Randy wanted to buy a cap that cost $18.50. How much more money does he need to buy the cap? $[?]",
      "answer0": "8.80",
      "answer1": "9.70",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 83,
      "difficulty_id": 2,
      "explanation": "(a) Change shown = four $2 notes + coins = $8.80. (b) $18.50 - $8.80 = $9.70 more needed.",
      "hints": ["Add up the notes and coins shown.", "Subtract the change he has from the cap price."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T2 Q12",
      "image_needed": true,
      "image_options": false,
      "image_file": "q25.png",
      "image_page": 11,
      "image_loc": "upper-left, four $2 notes and four coins showing Randy's change",
      "notes": "Term 2 Q12, Section C. answer0=(a)=$8.80, answer1=(b)=$9.70. Key: (a) $8.80; (b) 18.50-8.80=$9.70."
    },
    {
      "n": 26,
      "type_id": 2,
      "question": "A pet shop owner had 640 fishes and birds. He had 184 fewer birds than fishes. How many birds did he have in his pet shop?\n[?]",
      "answer0": "228",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "640 - 184 = 456; 456 / 2 = 228 birds.",
      "hints": ["Subtract the difference from the total.", "Then divide by 2 for the smaller group."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T2 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Term 2 Q13, Section C [3]. Key: 640-184=456; 456/2=228 birds."
    },
    {
      "n": 27,
      "type_id": 1,
      "question": "What fraction of the figure is unshaded?",
      "answer0": "1/2",
      "answer1": "1/3",
      "answer2": "2/3",
      "answer3": "4/12",
      "correct_answer": 2,
      "skill_id": 78,
      "difficulty_id": 2,
      "explanation": "The circle is in 12 equal parts; 4 are shaded, so 8 unshaded = 8/12 = 2/3.",
      "hints": ["Count the total equal parts and the unshaded parts.", "Simplify the fraction."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T3 Q1",
      "image_needed": true,
      "image_options": false,
      "image_file": "q27.png",
      "image_page": 13,
      "image_loc": "middle of page, circle divided into 12 equal sectors with some shaded",
      "notes": "Term 3 paper Q1. Key: 3 (option 3 = 2/3)."
    },
    {
      "n": 28,
      "type_id": 1,
      "question": "How many right angles are there in the figure?",
      "answer0": "1",
      "answer1": "2",
      "answer2": "3",
      "answer3": "5",
      "correct_answer": 1,
      "skill_id": 99,
      "difficulty_id": 2,
      "explanation": "The figure (a rectangle-ended arrow / pentagon shape) has 2 right angles.",
      "hints": ["Look for square corners.", "Count only the 90-degree corners."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T3 Q2",
      "image_needed": true,
      "image_options": false,
      "image_file": "q28.png",
      "image_page": 14,
      "image_loc": "top of page, single pentagon-shaped figure (rectangle with a pointed right end)",
      "notes": "Term 3 Q2. Key: 2 (option 2 = 2)."
    },
    {
      "n": 29,
      "type_id": 1,
      "question": "Which of the following fractions is the simplest form of 9/12 ?",
      "answer0": "1/4",
      "answer1": "3/4",
      "answer2": "3/12",
      "answer3": "18/24",
      "correct_answer": 1,
      "skill_id": 78,
      "difficulty_id": 2,
      "explanation": "Divide numerator and denominator by 3: 9/12 = 3/4.",
      "hints": ["Find the common factor of 9 and 12.", "Divide both by 3."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T3 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Term 3 Q3. Key: 2 (option 2 = 3/4)."
    },
    {
      "n": 30,
      "type_id": 1,
      "question": "How many more boxes need to be shaded so that 5/6 of the figure is shaded?",
      "answer0": "1",
      "answer1": "2",
      "answer2": "6",
      "answer3": "10",
      "correct_answer": 2,
      "skill_id": 77,
      "difficulty_id": 2,
      "explanation": "The figure has 12 boxes. 5/6 of 12 = 10 boxes. 4 are already shaded, so 10 - 4 = 6 more.",
      "hints": ["5/6 of 12 boxes is how many?", "Subtract the boxes already shaded."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T3 Q4",
      "image_needed": true,
      "image_options": false,
      "image_file": "q30.png",
      "image_page": 15,
      "image_loc": "upper area, 4-by-3 grid of boxes with a few shaded",
      "notes": "Term 3 Q4. Key: 3 (option 3 = 6). Verify shaded-box count on crop (4 shaded of 12)."
    },
    {
      "n": 31,
      "type_id": 1,
      "question": "The mass of a math textbook is about _______.",
      "answer0": "5 g",
      "answer1": "50 g",
      "answer2": "500 g",
      "answer3": "5000 g",
      "correct_answer": 2,
      "skill_id": 84,
      "difficulty_id": 1,
      "explanation": "A school textbook has a mass of roughly 500 g.",
      "hints": ["Estimate using a sensible unit.", "5 g is too light; 5000 g (5 kg) is too heavy."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T3 Q5",
      "image_needed": true,
      "image_options": false,
      "image_file": "q31.png",
      "image_page": 15,
      "image_loc": "middle of page, picture of a Mathematics textbook cover",
      "notes": "Term 3 Q5. Options are text. Key: 3 (option 3 = 500 g)."
    },
    {
      "n": 32,
      "type_id": 1,
      "question": "Arrange the students from the shortest to the tallest.\nAmy 1 m 9 cm, Ben 1 m 62 cm, Charlie 105 cm, Dora 170 cm",
      "answer0": "Charlie, Amy, Ben, Dora",
      "answer1": "Charlie, Amy, Dora, Ben",
      "answer2": "Amy, Ben, Charlie, Dora",
      "answer3": "Amy, Charlie, Ben, Dora",
      "correct_answer": 0,
      "skill_id": 86,
      "difficulty_id": 2,
      "explanation": "Convert to cm: Amy 109, Ben 162, Charlie 105, Dora 170. Shortest to tallest: Charlie, Amy, Ben, Dora.",
      "hints": ["Convert all heights to cm.", "1 m = 100 cm."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T3 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Heights given in a table within stem. Term 3 Q6. Key: 1 (option 1 = Charlie, Amy, Ben, Dora)."
    },
    {
      "n": 33,
      "type_id": 1,
      "question": "What is the total volume of the liquid in the three beakers?",
      "answer0": "750 mℓ",
      "answer1": "1300 mℓ",
      "answer2": "1350 mℓ",
      "answer3": "2000 mℓ",
      "correct_answer": 2,
      "skill_id": 85,
      "difficulty_id": 2,
      "explanation": "Read each beaker: 700 + 350 + 300 = 1350 mℓ.",
      "hints": ["Read the liquid level on each beaker.", "Add the three volumes."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T3 Q7",
      "image_needed": true,
      "image_options": false,
      "image_file": "q33.png",
      "image_page": 16,
      "image_loc": "middle of page, three measuring beakers with shaded liquid levels",
      "notes": "Term 3 Q7. Key: 3 (option 3 = 1350 mℓ). Verify individual levels on crop."
    },
    {
      "n": 34,
      "type_id": 1,
      "question": "What number does box A and box B represent?\n2/A = 4/12 = B/36",
      "answer0": "A = 6, B = 8",
      "answer1": "A = 6, B = 12",
      "answer2": "A = 10, B = 28",
      "answer3": "A = 2, B = 36",
      "correct_answer": 1,
      "skill_id": 80,
      "difficulty_id": 2,
      "explanation": "2/A = 4/12 means A = 6. B/36 = 4/12 = 1/3, so B = 12.",
      "hints": ["Use equivalent fractions: 4/12 = 1/3.", "Scale numerator and denominator together."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T3 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Term 3 Q8. Equation shown with boxes A and B. Key: 2 (option 2 = A 6, B 12)."
    },
    {
      "n": 35,
      "type_id": 0,
      "question": "Draw a line perpendicular to the line CD that passes through point Y.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 101,
      "difficulty_id": 2,
      "explanation": "Draw a line through Y that meets CD at a right angle (90 degrees).",
      "hints": ["Perpendicular lines meet at a right angle.", "Use the grid squares to keep it at 90 degrees."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T3 Q9",
      "image_needed": true,
      "image_options": false,
      "image_file": "q35.png",
      "image_page": 18,
      "image_loc": "upper half, square grid with line CD (and AB) and marked point Y",
      "notes": "Term 3 Q9, Section B [2]. Interactive drawing task - type_id 0 (skipped on insert). No definite value answer."
    },
    {
      "n": 36,
      "type_id": 2,
      "question": "Peter ran 2800 m around the neighbourhood. He took a short rest and ran another 250 m. How far did he run in total? Give your answer in kilometres and metres.\n[?] km [?] m",
      "answer0": "3",
      "answer1": "50",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 86,
      "difficulty_id": 2,
      "explanation": "2800 + 250 = 3050 m = 3 km 50 m.",
      "hints": ["Add the two distances in metres.", "1 km = 1000 m."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T3 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Term 3 Q10, Section B [2]. answer0=km=3, answer1=m=50. Key: 2800+250=3050=3km 50m."
    },
    {
      "n": 37,
      "type_id": 2,
      "question": "a) Arrange the following in order. Begin with the greatest.\n3/8, 3/7, 3/11\n[?], [?], [?]\nb) Arrange the following in order. Begin with the smallest.\n4/8, 9/10, 2/11\n[?], [?], [?]",
      "answer0": "3/7",
      "answer1": "3/8",
      "answer2": "3/11",
      "answer3": "2/11",
      "correct_answer": null,
      "skill_id": 79,
      "difficulty_id": 2,
      "explanation": "a) Same numerator: smaller denominator is greater, so 3/7 > 3/8 > 3/11. b) Values: 2/11 (~0.18), 4/8 (0.5), 9/10 (0.9), so smallest first = 2/11, 4/8, 9/10.",
      "hints": ["Same numerator: the smaller the denominator, the larger the fraction.", "For (b) compare each fraction to a half."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T3 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Term 3 Q11, Section B [2]. Two ordering parts. answer0-2 = part (a) greatest-first (3/7, 3/8, 3/11); part (b) smallest-first is 2/11, 4/8, 9/10 (answer3 holds first b-term; full b-sequence noted here). Fractions shown in boxes."
    },
    {
      "n": 38,
      "type_id": 2,
      "question": "Aaron bought a cake and cut it into 9 equal slices. Sally took 2 slices while Peter took 6 slices.\n(a) What fraction of the cake did Sally and Peter take altogether? [?]\n(b) What fraction of the cake did Aaron have left? [?]",
      "answer0": "8/9",
      "answer1": "1/9",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 81,
      "difficulty_id": 2,
      "explanation": "(a) 2/9 + 6/9 = 8/9. (b) 1 - 8/9 = 1/9.",
      "hints": ["Add the slices Sally and Peter took over 9.", "Whole cake is 9/9."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T3 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Term 3 Q12, Section C. answer0=(a)=8/9, answer1=(b)=1/9. Key: (a) 6/9+2/9=8/9; (b) 1-8/9=1/9."
    },
    {
      "n": 39,
      "type_id": 2,
      "question": "John bought 4 identical containers. Each container had a capacity of 600 mℓ. After pouring some water into the containers, he realised he would need another 450 mℓ of water to completely fill up all the containers. How much water did he have at first?\n[?]",
      "answer0": "1950",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 3,
      "explanation": "Total capacity = 600 x 4 = 2400 mℓ. Water at first = 2400 - 450 = 1950 mℓ.",
      "hints": ["Find the total capacity of all 4 containers.", "Subtract the extra water still needed."],
      "source": "Nan Hua 2023 P3 Weighted Assessment T3 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Term 3 Q13, Section C [3]. Answer in mℓ. Key: 600x4=2400; 2400-450=1950 mℓ."
    }
  ]
}
