{
  "paper": {
    "school": "Maha Bodhi",
    "year": 2024,
    "level": "P5",
    "label": "Weighted Assessment 1",
    "source_prefix": "Maha Bodhi 2024 P5 Weighted Assessment 1",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "In 280 945, the digit 8 is in the ____________ place.",
      "answer0": "hundreds",
      "answer1": "thousands",
      "answer2": "ten thousands",
      "answer3": "hundred thousands",
      "correct_answer": 2,
      "skill_id": 149,
      "difficulty_id": 1,
      "explanation": "Reading place values from the right of 280 945: 5 ones, 4 tens, 9 hundreds, 0 thousands, 8 ten thousands, 2 hundred thousands. So the digit 8 is in the ten thousands place.",
      "hints": ["Label each digit's place value starting from the ones on the right.", "280 945 = 2 hundred thousands, 8 ten thousands, 0 thousands, 9 hundreds, 4 tens, 5 ones."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 1 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "The population of a country is 4 million when the number is rounded to the nearest thousand. What is the largest possible population of the country?",
      "answer0": "4 000 290",
      "answer1": "4 000 490",
      "answer2": "4 000 690",
      "answer3": "4 000 890",
      "correct_answer": 1,
      "skill_id": 150,
      "difficulty_id": 2,
      "explanation": "When rounding to the nearest thousand, a number rounds to 4 000 000 only if it is below 4 000 500 (since 4 000 500 would round up to 4 001 000). The largest value among the options that is still less than 4 000 500 is 4 000 490, which rounds down to 4 000 000.",
      "hints": ["Rounding to the nearest thousand looks at the hundreds digit.", "The largest number that still rounds DOWN to 4 000 000 must be less than 4 000 500."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 1 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Which one of the following fractions is greater than \\(\\dfrac{3}{5}\\)?",
      "answer0": "\\(\\dfrac{3}{4}\\)",
      "answer1": "\\(\\dfrac{4}{7}\\)",
      "answer2": "\\(\\dfrac{5}{9}\\)",
      "answer3": "\\(\\dfrac{6}{11}\\)",
      "correct_answer": 0,
      "skill_id": 158,
      "difficulty_id": 2,
      "explanation": "Convert each to a decimal or compare with 3/5 = 0.6. 3/4 = 0.75 (greater than 0.6); 4/7 ≈ 0.571; 5/9 ≈ 0.556; 6/11 ≈ 0.545. Only 3/4 is greater than 3/5.",
      "hints": ["\\(\\dfrac{3}{5}=0.6\\). Convert each option to a decimal.", "A fraction is bigger when its value is closer to 1; 3/4 = 0.75."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 1 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Express \\(3\\dfrac{1}{20}\\) as a decimal.",
      "answer0": "3.1",
      "answer1": "3.5",
      "answer2": "3.05",
      "answer3": "3.12",
      "correct_answer": 2,
      "skill_id": 158,
      "difficulty_id": 1,
      "explanation": "1/20 = 5/100 = 0.05. So 3 1/20 = 3 + 0.05 = 3.05.",
      "hints": ["Make the denominator 100: \\(\\dfrac{1}{20}=\\dfrac{5}{100}\\).", "\\(\\dfrac{5}{100}=0.05\\), then add the whole number 3."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 1 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "Which of the following cannot be the height of triangle ABC?",
      "answer0": "AB",
      "answer1": "AC",
      "answer2": "BC",
      "answer3": "BD",
      "correct_answer": 1,
      "skill_id": 185,
      "difficulty_id": 2,
      "explanation": "A height of a triangle is a perpendicular line from a vertex to the opposite side (the base). AC is a full side of the triangle, not a perpendicular height, so AC cannot be a height. AB and BC can serve as base–height pairs, and BD is the perpendicular distance shown from B to AC.",
      "hints": ["A height must be perpendicular to the base it matches.", "A side of the triangle by itself is not a height unless it is perpendicular to the base."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 1 Q5",
      "image_needed": true,
      "image_options": false,
      "image_file": "q5.png",
      "image_page": 2,
      "image_bbox": [0.36, 0.5, 0.62, 0.78],
      "image_loc": "triangle ABC diagram in the middle of the page, with D and the right-angle mark on AC"
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "The figure is made up of 2 identical squares and a rectangle. Find the area of the figure.",
      "answer0": "180 cm²",
      "answer1": "280 cm²",
      "answer2": "380 cm²",
      "answer3": "480 cm²",
      "correct_answer": 3,
      "skill_id": 138,
      "difficulty_id": 2,
      "explanation": "The two identical squares each have side 10 cm (top arrow). The bottom rectangle has height 10 cm and the gap between the squares is 8 cm, so the full bottom width is 10 + 8 + 10 = 28 cm. Total = bottom rectangle (28 × 10 = 280) + two squares (2 × 10 × 10 = 200) = 480 cm². The answer key gives option 4 (480 cm²).",
      "hints": ["Each square has side 10 cm; the gap between them is 8 cm.", "Total width = 10 + 8 + 10. Add the rectangle area and the two square areas."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 1 Q6",
      "image_needed": true,
      "image_options": false,
      "image_file": "q6.png",
      "image_page": 3,
      "image_bbox": [0.32, 0.12, 0.66, 0.25],
      "image_loc": "U-shaped figure of two squares and a rectangle below the question, with 8 cm and 10 cm labels"
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "Mdm Siti bought 248 coloured pens for Children's Day. She gave her class of 42 pupils 3 coloured pens each. She also gave her daughter 2 coloured pens. How many coloured pens did she have left?",
      "answer0": "(248 − 42) × 3 − 2",
      "answer1": "248 − (42 × 3) − 2",
      "answer2": "248 − (42 × 3 − 2)",
      "answer3": "248 − 42 × (3 − 2)",
      "correct_answer": 1,
      "skill_id": 156,
      "difficulty_id": 2,
      "explanation": "42 pupils get 3 pens each: 42 × 3 = 126 pens. Then 2 more pens to the daughter. Pens left = 248 − (42 × 3) − 2 = 248 − 126 − 2 = 120. The correct expression is option 2.",
      "hints": ["First work out the pens given to the class: 42 × 3.", "Subtract both the class total and the daughter's 2 pens from 248."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 1 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "The sum of two numbers is 489. The difference between the two numbers is 195. What is the smaller number?",
      "answer0": "147",
      "answer1": "294",
      "answer2": "342",
      "answer3": "684",
      "correct_answer": 0,
      "skill_id": 152,
      "difficulty_id": 2,
      "explanation": "Smaller number = (sum − difference) ÷ 2 = (489 − 195) ÷ 2 = 294 ÷ 2 = 147.",
      "hints": ["Smaller number = (sum − difference) ÷ 2.", "(489 − 195) = 294, then divide by 2."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 1 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "Miss Tan had 32 m of ribbons at first. She used \\(\\dfrac{1}{2}\\) m to tie a gift box. How much ribbons would she have left after tying 15 identical gift boxes?",
      "answer0": "\\(16\\dfrac{1}{2}\\) m",
      "answer1": "\\(17\\dfrac{1}{2}\\) m",
      "answer2": "\\(24\\dfrac{1}{2}\\) m",
      "answer3": "\\(39\\dfrac{1}{2}\\) m",
      "correct_answer": 2,
      "skill_id": 163,
      "difficulty_id": 2,
      "explanation": "Ribbon used = 15 × 1/2 = 15/2 = 7 1/2 m. Ribbon left = 32 − 7 1/2 = 24 1/2 m.",
      "hints": ["Find the total ribbon used: 15 × \\(\\dfrac{1}{2}\\).", "Subtract the used ribbon from 32 m."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 1 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "Jenny took \\(3\\dfrac{1}{3}\\) h to complete a marathon. She took \\(1\\dfrac{1}{4}\\) h more to complete than Kylie. How long did Jenny and Kylie take to complete the marathon in total?",
      "answer0": "\\(7\\dfrac{11}{12}\\) h",
      "answer1": "\\(5\\dfrac{5}{12}\\) h",
      "answer2": "\\(4\\dfrac{7}{12}\\) h",
      "answer3": "\\(2\\dfrac{1}{12}\\) h",
      "correct_answer": 1,
      "skill_id": 160,
      "difficulty_id": 3,
      "explanation": "Kylie's time = Jenny's time − 1 1/4 = 3 1/3 − 1 1/4. Using twelfths: 3 4/12 − 1 3/12 = 2 1/12 h. Total = 3 1/3 + 2 1/12 = 3 4/12 + 2 1/12 = 5 5/12 h.",
      "hints": ["Kylie took \\(1\\dfrac{1}{4}\\) h LESS than Jenny, so subtract to find Kylie's time.", "Add Jenny's and Kylie's times using a common denominator of 12."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 1 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Write three million, forty-eight thousand and six in numerals. [?]",
      "answer0": "3048006",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 149,
      "difficulty_id": 2,
      "explanation": "Three million = 3 000 000; forty-eight thousand = 48 000; six = 6. Sum = 3 000 000 + 48 000 + 6 = 3 048 006.",
      "hints": ["Build by place value: millions, thousands, ones.", "3 000 000 + 48 000 + 6."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 1 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "List all the common factors of 12 and 18. [?] , [?] , [?] , [?]",
      "answer0": "1",
      "answer1": "2",
      "answer2": "3",
      "answer3": "6",
      "correct_answer": null,
      "skill_id": 113,
      "difficulty_id": 2,
      "explanation": "Factors of 12: 1, 2, 3, 4, 6, 12. Factors of 18: 1, 2, 3, 6, 9, 18. The common factors are 1, 2, 3 and 6.",
      "hints": ["List the factors of 12 and the factors of 18 separately.", "Pick the numbers that appear in both lists."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 1 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Four common factors, in ascending order: 1, 2, 3, 6."
    },
    {
      "n": 13,
      "type_id": 1,
      "question": "X represents a fraction exactly between \\(\\dfrac{1}{5}\\) and \\(\\dfrac{1}{3}\\) on the number line. What is the fraction represented by X?",
      "answer0": "\\(\\dfrac{4}{15}\\)",
      "answer1": "\\(\\dfrac{2}{8}\\)",
      "answer2": "\\(\\dfrac{1}{4}\\)",
      "answer3": "\\(\\dfrac{2}{15}\\)",
      "correct_answer": 0,
      "skill_id": 159,
      "difficulty_id": 3,
      "explanation": "The fraction exactly between two values is their average. \\(\\dfrac{1}{5}=\\dfrac{3}{15}\\) and \\(\\dfrac{1}{3}=\\dfrac{5}{15}\\). Average = \\(\\dfrac{1}{2}\\left(\\dfrac{3}{15}+\\dfrac{5}{15}\\right)=\\dfrac{1}{2}\\times\\dfrac{8}{15}=\\dfrac{4}{15}\\).",
      "hints": ["The midpoint of two fractions is their average (add them, divide by 2).", "Use a common denominator of 15: \\(\\dfrac{1}{5}=\\dfrac{3}{15}\\), \\(\\dfrac{1}{3}=\\dfrac{5}{15}\\)."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 1 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Number-line figure is decorative only (just shows 1/5 and 1/3 endpoints with X between); not required to answer. Converted from FIB to MCQ because the answer 4/15 is a fraction."
    },
    {
      "n": 14,
      "type_id": 1,
      "question": "\\(\\dfrac{2}{3} - \\square = \\dfrac{5}{12}\\). What is the missing fraction in the box?",
      "answer0": "\\(\\dfrac{1}{4}\\)",
      "answer1": "\\(\\dfrac{3}{12}\\)",
      "answer2": "\\(\\dfrac{1}{3}\\)",
      "answer3": "\\(\\dfrac{7}{12}\\)",
      "correct_answer": 0,
      "skill_id": 159,
      "difficulty_id": 2,
      "explanation": "Missing = \\(\\dfrac{2}{3} - \\dfrac{5}{12} = \\dfrac{8}{12} - \\dfrac{5}{12} = \\dfrac{3}{12} = \\dfrac{1}{4}\\). The answer key shows \\(\\dfrac{3}{12}\\), which simplifies to \\(\\dfrac{1}{4}\\).",
      "hints": ["Rearrange: missing fraction = \\(\\dfrac{2}{3} - \\dfrac{5}{12}\\).", "Use denominator 12: \\(\\dfrac{2}{3}=\\dfrac{8}{12}\\), then subtract and simplify."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 1 Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Converted from FIB to MCQ because the answer 3/12 = 1/4 is a fraction. Options 0 and 1 are equivalent (1/4 = 3/12); key value is 3/12 in simplest form 1/4 — answer0 is the simplest form."
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "Given that a number is 280, what is \\(\\dfrac{5}{8}\\) of the number? [?]",
      "answer0": "175",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 161,
      "difficulty_id": 2,
      "explanation": "280 ÷ 8 = 35 (this is 1/8 of the number). 5/8 = 35 × 5 = 175.",
      "hints": ["Find \\(\\dfrac{1}{8}\\) of 280 first by dividing by 8.", "Multiply that result by 5 to get \\(\\dfrac{5}{8}\\)."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 1 Q15",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "Yan Jun is having a lesson in the school hall. There are 5 rows of pupils in front of him and 6 rows of pupils behind him. There are 4 pupils to his right and 6 pupils to his left. How many pupils are there in the school hall altogether? [?]",
      "answer0": "132",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "Number of rows = 5 (front) + 1 (Yan Jun's row) + 6 (behind) = 12 rows. Number per row = 4 (right) + 1 (Yan Jun) + 6 (left) = 11. Total pupils = 12 × 11 = 132.",
      "hints": ["Count Yan Jun's own row and his own column too.", "Rows = 5 + 1 + 6 = 12; pupils per row = 4 + 1 + 6 = 11; multiply."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 1 Q16",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "Xin Qi had a sum of money. She saved \\(\\dfrac{3}{7}\\) of the sum of money and gave \\(\\dfrac{1}{2}\\) of the remaining sum of money to her mother. She had $42 left. How much money had she at first? [?]",
      "answer0": "147",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 165,
      "difficulty_id": 3,
      "explanation": "She saved 3/7, leaving 4/7. She gave away 1/2 of that remainder, so she kept the other half = 1/2 × 4/7 = 2/7 of the total, which is $42. So 2 units = $42, 1 unit = $21, and the total (7 units) = 21 × 7 = $147.",
      "hints": ["After saving \\(\\dfrac{3}{7}\\), \\(\\dfrac{4}{7}\\) remains; she keeps half of that.", "The $42 left is \\(\\dfrac{1}{2}\\times\\dfrac{4}{7}=\\dfrac{2}{7}\\) of the total."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 1 Q17",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer is $147 (money). Stem keeps the $ sign on the value."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "In the figure, the area of triangle FGH is 336 cm². Find the shaded area. [?]",
      "answer0": "276",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 186,
      "difficulty_id": 3,
      "explanation": "The unshaded triangle has base 12 cm and height 10 cm (the perpendicular shown), so its area = 1/2 × 12 × 10 = 60 cm². Shaded area = area of triangle FGH − unshaded triangle = 336 − 60 = 276 cm².",
      "hints": ["Find the area of the small unshaded triangle using \\(\\dfrac{1}{2}\\times base\\times height\\).", "Subtract the unshaded triangle's area from 336 cm²."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 1 Q18",
      "image_needed": true,
      "image_options": false,
      "image_file": "q18.png",
      "image_page": 7,
      "image_bbox": [0.28, 0.45, 0.68, 0.63],
      "image_loc": "shaded triangle FGH with internal right-angle mark; labels 10 cm, 12 cm and base 16 cm",
      "notes": "Answer 276 cm² (units cm² stated in answer line)."
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "A repeated pattern is formed using the numbers 0, 1 and 2. The first 15 numbers are 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2. What is the sum of the first 46 numbers? [?]",
      "answer0": "34",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "After the leading 0, the pattern repeats in groups of 4: (1, 2, 0, 0), each summing to 3. From position 2 onwards: 46 − 1 = 45 numbers remaining... using the key's method: one set is 1 + 2 = 3 (the non-zero numbers per repeat of 4). 46 ÷ 4 = 11 sets remainder 2. Sum of 11 full sets = 3 × 11 = 33. The remainder 2 positions add 0 + 1 = 1. Total = 33 + 0 + 1 = 34.",
      "hints": ["The sequence repeats every 4 numbers; the non-zero numbers in each repeat add to 3.", "46 ÷ 4 = 11 sets remainder 2; add the values in the leftover positions."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 1 Q19",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Transcribed the printed sequence (0 1 2 0 0 1 2 0 0 1 2 0 0 1 2) verbatim into the stem instead of relying on the figure. Answer key gives 34."
    },
    {
      "n": 20,
      "type_id": 2,
      "question": "Mr Lee had a farm made up of 3 squares, A, B and C. He fenced around the whole plot of land using 2200 m of fencing. Find the length of PQ. [?]",
      "answer0": "700",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 138,
      "difficulty_id": 3,
      "explanation": "Let the side of square A = 1 unit. Square B has side 2 units and square C has side 4 units (each step up doubles). Tracing the full perimeter in units: total = 1 + 1 + 2 + 2 + 4 + 4 + 4 + 2 + 1 + 1 = 22 units. So 22 units = 2200 m, giving 1 unit = 100 m. PQ spans A + B + C along the bottom = 1 + 2 + 4 = 7 units = 100 × 7 = 700 m.",
      "hints": ["The whole perimeter equals 22 equal units of the smallest square's side.", "2200 ÷ 22 = 100 m per unit; PQ = 1 + 2 + 4 = 7 units."],
      "source": "Maha Bodhi 2024 P5 Weighted Assessment 1 Q20",
      "image_needed": true,
      "image_options": false,
      "image_file": "q20.png",
      "image_page": 8,
      "image_bbox": [0.18, 0.42, 0.7, 0.63],
      "image_loc": "staircase figure of three squares A, B, C with P and Q marked at the bottom corners and ? on the base PQ",
      "notes": "Answer 700 m (unit m stated in answer line)."
    }
  ]
}