{
  "paper": {
    "school": "Tao Nan",
    "year": 2023,
    "level": "P5",
    "label": "Weighted Assessment 2",
    "source_prefix": "Tao Nan 2023 P5 Weighted Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 2,
      "question": "Round 6.495 to the nearest hundredth. [?]",
      "answer0": "6.50",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 168,
      "difficulty_id": 1,
      "explanation": "Rounding to the nearest hundredth means keeping 2 decimal places. Look at the thousandths digit (5), so round the hundredths digit up: 6.495 -> 6.50. Answer: 6.50.",
      "hints": ["The hundredth is the 2nd decimal place.", "The digit after it (5) means round up."],
      "source": "Tao Nan 2023 P5 Weighted Assessment 2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": ""
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Find the value of \\(2\\dfrac{1}{3} + 1\\dfrac{7}{8}\\). Express your answer as a mixed number in its simplest form.",
      "answer0": "\\(4\\dfrac{5}{24}\\)",
      "answer1": "\\(3\\dfrac{5}{24}\\)",
      "answer2": "\\(4\\dfrac{8}{11}\\)",
      "answer3": "\\(4\\dfrac{5}{12}\\)",
      "correct_answer": 0,
      "skill_id": 160,
      "difficulty_id": 2,
      "explanation": "Add whole numbers: 2 + 1 = 3. Add fractions: \\(\\dfrac{1}{3} + \\dfrac{7}{8} = \\dfrac{8}{24} + \\dfrac{21}{24} = \\dfrac{29}{24} = 1\\dfrac{5}{24}\\). Total: \\(3 + 1\\dfrac{5}{24} = 4\\dfrac{5}{24}\\).",
      "hints": ["Find a common denominator for 3 and 8 (which is 24).", "Add the whole parts and fraction parts separately, then carry over any whole from the fraction sum."],
      "source": "Tao Nan 2023 P5 Weighted Assessment 2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Mixed-number answer -> MCQ per spec (FIB is integers/decimals only)."
    },
    {
      "n": 3,
      "type_id": 2,
      "question": "John and his 29 friends share $9 equally. How much will each person get? $[?]",
      "answer0": "0.30",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 167,
      "difficulty_id": 1,
      "explanation": "John and 29 friends = 30 people in total. $9 / 30 = $0.30. Each person gets $0.30.",
      "hints": ["Count the total number of people: John plus 29 friends.", "Divide the total money by the number of people."],
      "source": "Tao Nan 2023 P5 Weighted Assessment 2 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Total people = 30 (John + 29 friends)."
    },
    {
      "n": 4,
      "type_id": 2,
      "question": "What is the missing number in \\(14 : [?] : 18 = 7 : 6 : 9\\)?",
      "answer0": "12",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 181,
      "difficulty_id": 2,
      "explanation": "The ratio 14 : ? : 18 equals 7 : 6 : 9, scaled by 2 (since 14 = 7 x 2 and 18 = 9 x 2). So the missing term = 6 x 2 = 12.",
      "hints": ["Compare 14 with 7 and 18 with 9 to find the scale factor.", "Multiply the middle term 6 by the same scale factor."],
      "source": "Tao Nan 2023 P5 Weighted Assessment 2 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Single integer answer (the missing ratio term) -> FIB."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "Siti is 11 years old. Ali is 7 years old. Find the ratio of Ali's age to Siti's age in 4 years' time.",
      "answer0": "11 : 15",
      "answer1": "7 : 11",
      "answer2": "15 : 11",
      "answer3": "4 : 4",
      "correct_answer": 0,
      "skill_id": 180,
      "difficulty_id": 2,
      "explanation": "In 4 years: Ali = 7 + 4 = 11, Siti = 11 + 4 = 15. Ratio of Ali's age to Siti's age = 11 : 15.",
      "hints": ["Add 4 years to each person's current age first.", "Write Ali's new age first, then Siti's new age."],
      "source": "Tao Nan 2023 P5 Weighted Assessment 2 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Ratio answer -> MCQ per spec."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "Mr Lee drove from Singapore to Penang. He arrived at Penang at 02 30 on Saturday. The journey took 7 h 40 min. What time did Mr Lee leave Singapore on Friday? Express your answer using the 24-h clock. [?]",
      "answer0": "1850",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 135,
      "difficulty_id": 2,
      "explanation": "Work backwards from 02 30 (Saturday) by 7 h 40 min. 02 30 - 7 h = 19 30 (Friday). 19 30 - 40 min = 18 50. Mr Lee left at 1850 on Friday.",
      "hints": ["Subtract the duration from the arrival time.", "Going back past midnight moves to the previous day."],
      "source": "Tao Nan 2023 P5 Weighted Assessment 2 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "24-h clock time answer 1850 (enter as integer)."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "Name the base that is related to the height CE of the triangle.",
      "answer0": "AD",
      "answer1": "BC",
      "answer2": "AB",
      "answer3": "AC",
      "correct_answer": 0,
      "skill_id": 186,
      "difficulty_id": 2,
      "explanation": "The height CE is perpendicular to side AD (E lies on the line containing AD, and CE meets it at a right angle). So the base related to height CE is AD.",
      "hints": ["The base is the side perpendicular to the given height.", "Find the side that CE meets at a right angle."],
      "source": "Tao Nan 2023 P5 Weighted Assessment 2 Q7",
      "image_needed": true,
      "image_options": false,
      "image_file": "q7.png",
      "image_page": 4,
      "image_bbox": [0.18, 0.13, 0.55, 0.28],
      "image_loc": "triangle ABC with vertices A (top-left), C (right), B and D near bottom-left, E below with dashed height line labelled 'height'; top of page 4",
      "notes": "Letter answer -> MCQ. Answer key gives AD."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "The figure is made up of a square, a rectangle and a triangle. Given that the square has a side of 8 cm, find the area of the figure. [?] cm²",
      "answer0": "144",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 186,
      "difficulty_id": 3,
      "explanation": "Square: side 8 cm, area = 8 x 8 = 64 cm². The rectangle sits above the square; it spans the top 8 cm width split into two 4 cm halves, height equal to the upper portion. Combined square + rectangle + triangle gives total area 144 cm² (per the answer key).",
      "hints": ["Split the figure into the square, the rectangle and the triangle.", "Area of triangle = \\(\\dfrac{1}{2} \\times base \\times height\\); add all three areas."],
      "source": "Tao Nan 2023 P5 Weighted Assessment 2 Q8",
      "image_needed": true,
      "image_options": false,
      "image_file": "q8.png",
      "image_page": 4,
      "image_bbox": [0.2, 0.42, 0.5, 0.62],
      "image_loc": "composite figure: square (8 cm side) at lower-left with a rectangle on top and a triangle to the right; base labels '8 cm' and '6 cm'; middle of page 4",
      "notes": "Answer key: 144cm2. Figure needed to read the rectangle/triangle dimensions."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "The solid figure is formed using unit cubes. What is the volume of the solid? [?] cubic units",
      "answer0": "22",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 188,
      "difficulty_id": 2,
      "explanation": "Count the unit cubes making up the solid. A full 3x3x3 stack would be 27, but cubes are missing from the visible step; counting the remaining cubes gives 22 cubic units (per the answer key).",
      "hints": ["Count layer by layer, including hidden cubes that must support the ones above.", "Volume = number of unit cubes."],
      "source": "Tao Nan 2023 P5 Weighted Assessment 2 Q9",
      "image_needed": true,
      "image_options": false,
      "image_file": "q9.png",
      "image_page": 4,
      "image_bbox": [0.2, 0.74, 0.5, 0.95],
      "image_loc": "isometric drawing of a solid built from 1-unit cubes (roughly 3x3 base with a notched step), edges labelled '1 unit'; bottom of page 4",
      "notes": "Count-to-verify; answer key gives 22 cubic units."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "Bottle P has \\(\\dfrac{5}{8}\\) ℓ of juice. Bottle Q has 480 mℓ of juice. Find the total volume of juice in the two bottles. Give your answer in litres and millilitres. [?] ℓ [?] mℓ",
      "answer0": "1",
      "answer1": "105",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 192,
      "difficulty_id": 2,
      "explanation": "Bottle P: \\(\\dfrac{5}{8}\\) ℓ = \\(\\dfrac{5}{8} \\times 1000\\) = 625 mℓ. Total = 625 + 480 = 1105 mℓ = 1 ℓ 105 mℓ.",
      "hints": ["Convert \\(\\dfrac{5}{8}\\) ℓ to millilitres (1 ℓ = 1000 mℓ).", "Add the two volumes, then split into whole litres and remaining millilitres."],
      "source": "Tao Nan 2023 P5 Weighted Assessment 2 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two blanks: litres (1) and millilitres (105). Answer key: 1L 105ml."
    },
    {
      "n": 11,
      "type_id": 0,
      "question": "The figure is made up of 4 identical squares.\n(a) What is the ratio of the shaded parts to the figure?\n(b) If the area of the shaded part is 21 m², find the area of the total figure.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 180,
      "difficulty_id": 3,
      "explanation": "(a) The shaded triangle covers an area equal to 1.5 of the 4 squares, so shaded : figure = 1.5 : 4 = 3 : 8. (b) Shaded part 21 m² corresponds to 1.5 squares, so 1 square = 21 / 1.5 = 14 m²; total figure = 14 x 4 = 56 m².",
      "hints": ["Express the shaded area as a number of whole squares.", "Use the ratio to scale from the shaded area to the whole figure."],
      "source": "Tao Nan 2023 P5 Weighted Assessment 2 Q11",
      "image_needed": true,
      "image_options": false,
      "image_file": "q11.png",
      "image_page": 6,
      "image_bbox": [0.38, 0.2, 0.6, 0.36],
      "image_loc": "a 2x2 grid of identical squares with a large shaded triangle across the lower portion; centre-top of page 6",
      "notes": "Mixed answer types: part (a) is a ratio 3:8 (MCQ-style) and part (b) is an integer 56 m² (FIB-style); a single question can't be both, so type_id 0. Answer key: a) 3:8, b) 56 m²."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Suping cut out 2 squares, A and C, and 2 rectangles, B and D, from a rectangular piece of cloth. Square A has area 121 cm², rectangle B has area 45 cm² and square C has area 36 cm².\n(a) Find the perimeter of square A. [?] cm\n(b) Find the area of rectangle D. [?] cm²",
      "answer0": "44",
      "answer1": "18",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 137,
      "difficulty_id": 3,
      "explanation": "(a) Side of square A = \\(\\sqrt{121}\\) = 11 cm; perimeter = 4 x 11 = 44 cm. (b) Side of square C = \\(\\sqrt{36}\\) = 6 cm. Rectangle B (45 cm²) shares the width with C, so B is 5 cm by 9 cm, meaning the top width is 9 cm. Rectangle D height = 9 - 6 = 3 cm and width = 6 cm, so area of D = 3 x 6 = 18 cm².",
      "hints": ["The side of a square is the square root of its area.", "Use the shared sides of the squares and rectangle B to work out the dimensions of D."],
      "source": "Tao Nan 2023 P5 Weighted Assessment 2 Q12",
      "image_needed": true,
      "image_options": false,
      "image_file": "q12.png",
      "image_page": 7,
      "image_bbox": [0.3, 0.13, 0.62, 0.28],
      "image_loc": "diagram: square A (121 cm²) on the left, rectangle B (45 cm²) top-right, square C (36 cm²) and rectangle D arranged bottom-right; top of page 7",
      "notes": "Both parts are integers -> FIB with two blanks. Answer key: a) 44 cm, b) 18 cm²."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "A rectangular tank measuring 50 cm by 30 cm by 8 cm is \\(\\dfrac{3}{4}\\) filled with water. The water is then transferred into a cubical container of edge 25 cm. How much more water is needed to fill the cubical container to the brim? Give your answer in millilitres. [?] mℓ",
      "answer0": "6625",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 193,
      "difficulty_id": 3,
      "explanation": "Water in tank = \\(\\dfrac{3}{4} \\times 50 \\times 30 \\times 8\\) = 9000 cm³. Cubical container volume = 25 x 25 x 25 = 15 625 cm³. Water needed = 15 625 - 9000 = 6625 cm³ = 6625 mℓ.",
      "hints": ["Volume of water = \\(\\dfrac{3}{4}\\) of the tank's volume.", "Subtract the water from the cube's full volume; 1 cm³ = 1 mℓ."],
      "source": "Tao Nan 2023 P5 Weighted Assessment 2 Q13",
      "image_needed": true,
      "image_options": false,
      "image_file": "q13.png",
      "image_page": 8,
      "image_bbox": [0.18, 0.23, 0.82, 0.38],
      "image_loc": "left: shallow rectangular tank labelled 50 cm, 30 cm, 8 cm partly filled; arrow to right: cube labelled 25 cm; upper-middle of page 8",
      "notes": "Answer key: 15625 - 9000 = 6625 (ml)."
    },
    {
      "n": 14,
      "type_id": 2,
      "question": "The mass of 2 watermelons and 3 papayas is 9.6 kg. The mass of 3 watermelons and 5 papayas is 14.8 kg. Each watermelon has the same mass and each papaya has the same mass.\n(a) What is the mass of 1 papaya? Give your answer in kilograms. [?] kg\n(b) What is the total mass of 2 watermelons and 1 papaya? Give your answer in kilograms. [?] kg",
      "answer0": "0.8",
      "answer1": "8",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "(a) 2W + 3P = 9.6 and 3W + 5P = 14.8. Multiply the first by 3 (6W + 9P = 28.8) and the second by 2 (6W + 10P = 29.6); subtract: 1P = 0.8 kg. (b) From 2W + 3P = 9.6: 2W = 9.6 - 3(0.8) = 9.6 - 2.4 = 7.2 kg. Total of 2 watermelons + 1 papaya = 7.2 + 0.8 = 8 kg.",
      "hints": ["Eliminate the watermelons by matching their numbers in both equations.", "Once you know 1 papaya, substitute back to find 2 watermelons."],
      "source": "Tao Nan 2023 P5 Weighted Assessment 2 Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: a) 0.8 kg, b) 8 kg. Two blanks (decimal then integer)."
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "At a farm, \\(\\dfrac{2}{7}\\) of the animals and another 14 animals are rabbits. \\(\\dfrac{1}{3}\\) of the remaining animals and another 29 animals are cows. The rest of the animals are goats. There are 65 goats at the farm.\n(a) How many cows are at the farm? [?]\n(b) Find the total number of animals at the farm. [?]",
      "answer0": "76",
      "answer1": "217",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 165,
      "difficulty_id": 3,
      "explanation": "Let total = T. Rabbits = \\(\\dfrac{2}{7}T + 14\\), so remaining after rabbits = \\(\\dfrac{5}{7}T - 14\\). Cows = \\(\\dfrac{1}{3}(\\dfrac{5}{7}T - 14) + 29\\). Goats = remaining - cows = \\(\\dfrac{2}{3}(\\dfrac{5}{7}T - 14) - 29 = 65\\). So \\(\\dfrac{2}{3}(\\dfrac{5}{7}T - 14) = 94\\), giving \\(\\dfrac{5}{7}T - 14 = 141\\), \\(\\dfrac{5}{7}T = 155\\), T = 217. (a) Cows = \\(\\dfrac{1}{3}(155 - 14)\\)... using remaining 155: cows = \\(\\dfrac{1}{3}(155) + 29 = 47 + 29 = 76\\). (b) Total = 217.",
      "hints": ["Track the animals in stages: rabbits first, then cows from the remainder, then goats.", "Work backwards from the 65 goats using the fractions to find the total."],
      "source": "Tao Nan 2023 P5 Weighted Assessment 2 Q15",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key: a) 76 cows, b) 217 total animals. Two integer blanks."
    }
  ]
}