{
  "paper": {
    "school": "Pei Hwa Presbyterian Primary School",
    "year": 2022,
    "level": "P3",
    "label": "Weighted Assessment 2",
    "source_prefix": "Pei Hwa 2022 P3 Weighted Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "Which of the following is the same as 12 m 7 cm?",
      "answer0": "127 cm",
      "answer1": "1207 cm",
      "answer2": "1270 cm",
      "answer3": "12 007 cm",
      "correct_answer": 1,
      "skill_id": 86,
      "difficulty_id": 2,
      "explanation": "12 m = 1200 cm. 1200 cm + 7 cm = 1207 cm.",
      "hints": ["1 m = 100 cm.", "Convert the metres to cm, then add the extra cm."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = option (2) = 1207 cm."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Which of the following is 1/2 in its simplest form?",
      "answer0": "3/6",
      "answer1": "6/9",
      "answer2": "4/12",
      "answer3": "6/10",
      "correct_answer": 0,
      "skill_id": 78,
      "difficulty_id": 1,
      "explanation": "3/6 = 1/2 when both numerator and denominator are divided by 3.",
      "hints": ["A fraction equals 1/2 when the denominator is double the numerator.", "Check which option has the denominator twice the numerator."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = option (1) = 3/6."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "The distance from the mall to the market is 3 times the distance from the market to Leon's house. What is the distance between the market and Leon's house?",
      "answer0": "180 m",
      "answer1": "240 m",
      "answer2": "900 m",
      "answer3": "960 m",
      "correct_answer": 1,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "Mall to market = 720 m = 3 units. 1 unit (market to Leon's house) = 720 / 3 = 240 m.",
      "hints": ["The 720 m shown is the mall-to-market distance.", "720 m is 3 times the answer, so divide by 3."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q3",
      "image_needed": true,
      "image_page": 2,
      "image_loc": "middle of page, below the question: path diagram showing mall, market and Leon's house with 720 m labelled between mall and market",
      "image_options": false,
      "image_file": "q3.png",
      "notes": "Key = option (2) = 240 m. Figure supplies the 720 m value."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Which of the following letters represent 3/9?",
      "answer0": "A",
      "answer1": "B",
      "answer2": "C",
      "answer3": "D",
      "correct_answer": 1,
      "skill_id": 79,
      "difficulty_id": 2,
      "explanation": "3/9 = 1/3. On the number line from 0 to 1, 1/3 is the third of nine equal intervals, marked by arrow B.",
      "hints": ["3/9 simplifies to 1/3.", "Count the equal intervals between 0 and 1 on the number line."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q4",
      "image_needed": true,
      "image_page": 2,
      "image_loc": "middle of page, below the question: number line from 0 to 1 with arrows A, B, C, D pointing to marked positions",
      "image_options": false,
      "image_file": "q4.png",
      "notes": "Key = option (2) = B."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "Arrange the following fractions from the smallest to the greatest. 3/10, 1/2, 3/5",
      "answer0": "1/2, 3/5, 3/10",
      "answer1": "1/2, 3/10, 3/5",
      "answer2": "3/10, 3/5, 1/2",
      "answer3": "3/10, 1/2, 3/5",
      "correct_answer": 3,
      "skill_id": 79,
      "difficulty_id": 2,
      "explanation": "Convert to tenths: 3/10, 1/2 = 5/10, 3/5 = 6/10. Smallest to greatest: 3/10, 1/2, 3/5.",
      "hints": ["Make all fractions have the same denominator (10).", "3/10, 5/10, 6/10 are easy to order."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = option (4) = 3/10, 1/2, 3/5. Options are ordered fraction sequences."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "Find the value of A and B in the boxes. 3/7 = A/21 = 18/B",
      "answer0": "A = 6, B = 13",
      "answer1": "A = 6, B = 42",
      "answer2": "A = 9, B = 14",
      "answer3": "A = 9, B = 42",
      "correct_answer": 3,
      "skill_id": 80,
      "difficulty_id": 2,
      "explanation": "3/7 = 9/21 (multiply by 3), so A = 9. 3/7 = 18/42 (multiply by 6), so B = 42.",
      "hints": ["7 x 3 = 21, so multiply the numerator by 3 to find A.", "3 x 6 = 18, so multiply the denominator by 6 to find B."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = option (4) = A 9, B 42. Options are A/B value pairs from the table."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "How much water is there in the two containers altogether?",
      "answer0": "2600 ml",
      "answer1": "2300 ml",
      "answer2": "1600 ml",
      "answer3": "1300 ml",
      "correct_answer": 2,
      "skill_id": 85,
      "difficulty_id": 2,
      "explanation": "First container shows 600 ml (just above the 500 ml mark); second shows 1000 ml (at the 1 l mark). 600 + 1000 = 1600 ml.",
      "hints": ["Read the water level on each measuring container.", "Add the two volumes in ml."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q7",
      "image_needed": true,
      "image_page": 4,
      "image_loc": "below the question: two measuring containers, left marked 500 ml / 1 l, right marked 1 l / 2 l, with water levels shaded",
      "image_options": false,
      "image_file": "q7.png",
      "notes": "Key = option (3) = 1600 ml. Volumes must be read from the figure."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "The capacity of a pail was 450 ml. The capacity of the pail was three times as much as a container. The capacity of the container was twice as much as a cup. Find the capacity of the cup.",
      "answer0": "75 ml",
      "answer1": "90 ml",
      "answer2": "150 ml",
      "answer3": "300 ml",
      "correct_answer": 0,
      "skill_id": 87,
      "difficulty_id": 2,
      "explanation": "Container = 450 / 3 = 150 ml. Cup = 150 / 2 = 75 ml.",
      "hints": ["Find the container's capacity first by dividing 450 by 3.", "Then halve the container's capacity to get the cup."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = option (1) = 75 ml."
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "When was the increase in the shop's sale of ice cream the greatest?",
      "answer0": "January to February",
      "answer1": "February to March",
      "answer2": "March to April",
      "answer3": "April to May",
      "correct_answer": 1,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "From the bar graph: Jan 240, Feb 300, Mar 440, Apr 540, May 500. Increases: +60, +140, +100, -20. The greatest increase is Feb to March.",
      "hints": ["Read the height of each bar.", "Find the difference between consecutive months and pick the biggest rise."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q9",
      "image_needed": true,
      "image_page": 5,
      "image_loc": "upper half of page: bar graph 'Number of Ice Cream Sold' for January to May, y-axis 0 to 600",
      "image_options": false,
      "image_file": "q9.png",
      "notes": "Key = option (2) = February to March. Bar values read from graph."
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "Find the total number of ice cream sold in February and April.",
      "answer0": "1280",
      "answer1": "980",
      "answer2": "840",
      "answer3": "800",
      "correct_answer": 2,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "From the bar graph, February = 300 and April = 540. 300 + 540 = 840.",
      "hints": ["Read the February and April bars.", "Add the two values."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q10",
      "image_needed": true,
      "image_page": 5,
      "image_loc": "upper half of page: bar graph 'Number of Ice Cream Sold' for January to May (same graph as Q9)",
      "image_options": false,
      "image_file": "q10.png",
      "notes": "Key = option (3) = 840. Same graph as Q9."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Express 6/10 in its simplest form.",
      "answer0": "3/5",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 78,
      "difficulty_id": 1,
      "explanation": "Divide numerator and denominator by 2: 6/10 = 3/5.",
      "hints": ["Find a common factor of 6 and 10.", "Divide both by 2."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = 3/5."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Find the missing number in the box. 1/3 = 4/[?]",
      "answer0": "12",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 80,
      "difficulty_id": 1,
      "explanation": "1/3 = 4/12 (multiply numerator and denominator by 4). The missing number is 12.",
      "hints": ["The numerator 1 became 4, so multiply by 4.", "Multiply the denominator 3 by the same number."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = 12."
    },
    {
      "n": 13,
      "type_id": 0,
      "question": "The figure is divided into equal parts. Shade 3/8 of the figure.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 41,
      "difficulty_id": 2,
      "explanation": "Shade any 3 of the 8 equal triangular parts.",
      "hints": ["Count the total number of equal parts.", "Shade 3 of those parts."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q13",
      "image_needed": true,
      "image_page": 6,
      "image_loc": "lower half of page: chain of triangles/squares figure divided into 8 equal triangular parts",
      "image_options": false,
      "image_file": "q13.png",
      "notes": "Interactive shading task (no value answer) so type_id 0; will be skipped on insert. Key = shade 3 of 8 equal parts."
    },
    {
      "n": 14,
      "type_id": 2,
      "question": "Give a possible fraction that is smaller than 1/5.",
      "answer0": "1/6",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 79,
      "difficulty_id": 2,
      "explanation": "1/6 is smaller than 1/5 because with the same numerator, a larger denominator gives a smaller fraction. (Other answers such as 1/10 are also acceptable.)",
      "hints": ["Keep the numerator 1 and make the denominator larger than 5.", "1/6, 1/7, 1/10 are all smaller than 1/5."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q14",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Open-ended; key gives 1/6 as the model answer. Any fraction less than 1/5 is correct."
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "Find the mass of the fruits in kilograms and grams. [?] kg [?] g",
      "answer0": "2",
      "answer1": "300",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 85,
      "difficulty_id": 2,
      "explanation": "The weighing-scale pointer reads 2 kg 300 g.",
      "hints": ["Read the position of the pointer on the scale.", "Each small marking is 100 g."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q15",
      "image_needed": true,
      "image_page": 7,
      "image_loc": "upper half of page: kitchen weighing scale with fruits in the pan and a magnified dial showing 1-4 kg",
      "image_options": false,
      "image_file": "q15.png",
      "notes": "Key = 2 kg 300 g. Answer read from the scale dial. Answer template has two blanks (kg, g)."
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "The mass of a container, half-filled with sand is shown on the weighing scale. The mass of the container is 50 g. Find the mass of the sand in the container. [?] kg [?] g",
      "answer0": "1",
      "answer1": "850",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 2,
      "explanation": "The scale shows 1 kg 900 g (1900 g) for container plus sand. Sand = 1900 - 50 = 1850 g = 1 kg 850 g.",
      "hints": ["Read the total mass on the scale first.", "Subtract the container's mass of 50 g."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q16",
      "image_needed": true,
      "image_page": 7,
      "image_loc": "lower half of page: round-dial weighing scale marked 1kg, 2kg, 3kg, 4kg with pointer",
      "image_options": false,
      "image_file": "q16.png",
      "notes": "Key = 1 kg 850 g. Total reading 1 kg 900 g taken from the dial. Answer template has two blanks (kg, g)."
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "Pupil [?] scored the most number of points.",
      "answer0": "D",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 1,
      "explanation": "On the bar graph, pupil D has the tallest bar, so D scored the most points.",
      "hints": ["Find the tallest bar.", "Read the pupil's letter beneath it."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q17",
      "image_needed": true,
      "image_page": 8,
      "image_loc": "upper half of page: bar graph 'Number of Points Scored' by pupils A-E",
      "image_options": false,
      "image_file": "q17.png",
      "notes": "Key = D. Single-letter answer kept as FIB per key (graph-read identity)."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "Name the pupils who scored twice as many points as pupil B. [?], [?]",
      "answer0": "A",
      "answer1": "E",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 2,
      "explanation": "Pupil B scored 2 units; twice that is 4 units. Pupils A and E each scored 4 units.",
      "hints": ["Read pupil B's value, then double it.", "Find every bar equal to that doubled value."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q18",
      "image_needed": true,
      "image_page": 8,
      "image_loc": "upper half of page: bar graph 'Number of Points Scored' by pupils A-E (same graph as Q17)",
      "image_options": false,
      "image_file": "q18.png",
      "notes": "Key = A, E (two pupils). Same graph as Q17; two-blank answer."
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "The mass of three students, Adele, Belle and Cali was 129 kg. Adele left and the mass of Belle and Cali became 87 kg. Cali's mass was 41 kg. Who was the lightest and what was her mass? Girl: [?], [?] kg",
      "answer0": "Cali",
      "answer1": "41",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 2,
      "explanation": "Adele = 129 - 87 = 42 kg. Belle = 87 - 41 = 46 kg. Cali = 41 kg. Cali is the lightest at 41 kg.",
      "hints": ["Find Adele's mass: 129 - 87.", "Find Belle's mass: 87 - 41, then compare all three."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q19",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key = Cali, 41 kg. Two-blank answer (name, mass)."
    },
    {
      "n": 20,
      "type_id": 2,
      "question": "Find the total shortest possible distance between the school and the library in metres.",
      "answer0": "2952",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 87,
      "difficulty_id": 3,
      "explanation": "School to playground to library = 1 km 2 m + 1 km 950 m = 1002 + 1950 = 2952 m, which is the route given by the answer key.",
      "hints": ["Convert each compound distance (km and m) to metres.", "Add the distances along the shortest route from school to library."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q20",
      "image_needed": true,
      "image_page": 9,
      "image_loc": "lower half of page: ring map of school, home, library, playground with distances 1 km 900 m, 1 km 50 m, 1 km 950 m, 1 km 2 m labelled on the arcs",
      "image_options": false,
      "image_file": "q20.png",
      "notes": "Key = 2952 m (school-playground-library route, 1 km 2 m + 1 km 950 m). Distances supplied by figure."
    },
    {
      "n": 21,
      "type_id": 2,
      "question": "Michael places 6 cones at an equal distance apart. The distance between the 1st and last cone is 305 m. (a) What is the distance between 2 cones? (b) What is the distance between the 1st and 10th cone in metres? Answer in metres. [?] m, [?] m",
      "answer0": "61",
      "answer1": "549",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "6 cones make 5 equal gaps. (a) 305 / 5 = 61 m between 2 cones. (b) 1st to 10th cone = 9 gaps = 9 x 61 = 549 m.",
      "hints": ["6 cones have 5 gaps between them, not 6.", "1st to 10th cone is 9 gaps."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q21",
      "image_needed": true,
      "image_page": 10,
      "image_loc": "middle of page: row of 6 cones with 305 m bracket spanning the first to the last cone",
      "image_options": false,
      "image_file": "q21.png",
      "notes": "Key (a) = 61 m, (b) = 549 m. Two-part answer captured as two blanks."
    },
    {
      "n": 22,
      "type_id": 2,
      "question": "The bar graph shows the number of stickers 4 boys collected. (a) Who collected twice as many stickers as John? (b) How many stickers should Mark give to Luke so that both boys will have an equal number of stickers? [?], [?]",
      "answer0": "Matt",
      "answer1": "12",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 104,
      "difficulty_id": 3,
      "explanation": "From the graph John = 16, Matt = 32, Mark = 32, Luke = 8. (a) Matt has 32 = twice John's 16. (b) Mark 32 and Luke 8 differ by 24; Mark gives half the difference, 24 / 2 = 12, so each has 20.",
      "hints": ["Read each boy's bar length from the horizontal axis.", "For (b), find the difference between Mark and Luke, then halve it."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q22",
      "image_needed": true,
      "image_page": 11,
      "image_loc": "upper half of page: horizontal bar graph 'Number of Stickers Collected' for John, Luke, Matt, Mark with scale 0-35",
      "image_options": false,
      "image_file": "q22.png",
      "notes": "Key (a) = Matt, (b) = 12. Bar values read from graph. Two-part answer captured as two blanks."
    },
    {
      "n": 23,
      "type_id": 2,
      "question": "The mass of a box containing an iron ball is 326 g. When Alice puts in 4 more such iron balls into the box, the mass of the box and the iron balls becomes 786 g. (a) What is the mass of an iron ball? (b) What is the mass of the box? [?] g, [?] g",
      "answer0": "115",
      "answer1": "211",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 76,
      "difficulty_id": 3,
      "explanation": "Adding 4 balls increased the mass by 786 - 326 = 460 g. (a) 1 ball = 460 / 4 = 115 g. (b) Box = 326 - 115 = 211 g.",
      "hints": ["The increase 786 - 326 is the mass of 4 iron balls.", "Subtract one ball's mass from 326 g to find the box."],
      "source": "Pei Hwa 2022 P3 Weighted Assessment 2 Q23",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key (a) = 115 g, (b) = 211 g. Two-part answer captured as two blanks."
    }
  ]
}