{
  "paper": {
    "school": "Red Swastika",
    "year": 2023,
    "level": "P5",
    "label": "Weighted Assessment 1",
    "source_prefix": "Red Swastika 2023 P5 Weighted Assessment 1",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "What is the value of the digit 4 in 5 468 900?",
      "answer0": "400 000",
      "answer1": "40 000",
      "answer2": "400",
      "answer3": "4",
      "correct_answer": 0,
      "skill_id": 149,
      "difficulty_id": 1,
      "explanation": "The digit 4 is in the hundred-thousands place of 5 468 900, so its value is 400 000.",
      "hints": ["Identify the place of the digit 4.", "Counting from the right: ones, tens, hundreds, thousands, ten-thousands, hundred-thousands."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 1 Q1",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 1."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "What is the value of \\(505 \\times 400\\)?",
      "answer0": "2020",
      "answer1": "20 200",
      "answer2": "202 000",
      "answer3": "2 002 000",
      "correct_answer": 2,
      "skill_id": 151,
      "difficulty_id": 1,
      "explanation": "\\(505 \\times 400 = 505 \\times 4 \\times 100 = 2020 \\times 100 = 202\\,000\\).",
      "hints": ["Multiply 505 by 4 first.", "Then multiply by 100 (add two zeros)."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 1 Q2",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 3."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Express \\(\\dfrac{3}{20}\\) as a decimal.",
      "answer0": "0.3",
      "answer1": "0.03",
      "answer2": "0.15",
      "answer3": "0.015",
      "correct_answer": 2,
      "skill_id": 158,
      "difficulty_id": 1,
      "explanation": "\\(\\dfrac{3}{20} = \\dfrac{15}{100} = 0.15\\).",
      "hints": ["Make the denominator 100.", "Multiply numerator and denominator by 5."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 1 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 3."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Find the value of \\(\\dfrac{6}{5} \\times 30\\)",
      "answer0": "10",
      "answer1": "12",
      "answer2": "25",
      "answer3": "36",
      "correct_answer": 3,
      "skill_id": 163,
      "difficulty_id": 1,
      "explanation": "\\(\\dfrac{6}{5} \\times 30 = \\dfrac{6 \\times 30}{5} = \\dfrac{180}{5} = 36\\).",
      "hints": ["30 \\div 5 = 6.", "Then 6 \\times 6 = 36."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 1 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "Which of the following has the smallest value?",
      "answer0": "\\(\\dfrac{6}{5} \\times \\dfrac{10}{2}\\)",
      "answer1": "\\(\\dfrac{6}{5} \\times \\dfrac{10}{4}\\)",
      "answer2": "\\(\\dfrac{10}{2} \\times \\dfrac{8}{5}\\)",
      "answer3": "\\(\\dfrac{10}{4} \\times \\dfrac{8}{5}\\)",
      "correct_answer": 1,
      "skill_id": 161,
      "difficulty_id": 2,
      "explanation": "Evaluate each: (1) \\(\\dfrac{6}{5}\\times\\dfrac{10}{2}=6\\); (2) \\(\\dfrac{6}{5}\\times\\dfrac{10}{4}=3\\); (3) \\(\\dfrac{10}{2}\\times\\dfrac{8}{5}=8\\); (4) \\(\\dfrac{10}{4}\\times\\dfrac{8}{5}=4\\). The smallest is 3, option 2.",
      "hints": ["Work out each product.", "Compare the four results."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 1 Q5",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2."
    },
    {
      "n": 6,
      "type_id": 1,
      "question": "100 identical chairs cost $6 000 and 20 identical tables cost $9 000. Find the total cost of 1 chair and 1 table.",
      "answer0": "$105",
      "answer1": "$510",
      "answer2": "$645",
      "answer3": "$960",
      "correct_answer": 1,
      "skill_id": 152,
      "difficulty_id": 2,
      "explanation": "1 chair = $6 000 \\div 100 = $60. 1 table = $9 000 \\div 20 = $450. Total = $60 + $450 = $510.",
      "hints": ["Find the cost of one chair and one table separately.", "Add the two costs."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 1 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2."
    },
    {
      "n": 7,
      "type_id": 1,
      "question": "The total length of a wire and a rod is \\(4\\dfrac{1}{2}\\) m. The length of the wire is \\(1\\dfrac{1}{3}\\) m. Find the difference in their lengths.",
      "answer0": "\\(5\\dfrac{5}{6}\\) m",
      "answer1": "\\(3\\dfrac{1}{6}\\) m",
      "answer2": "\\(2\\dfrac{5}{6}\\) m",
      "answer3": "\\(1\\dfrac{5}{6}\\) m",
      "correct_answer": 3,
      "skill_id": 160,
      "difficulty_id": 2,
      "explanation": "Rod = \\(4\\dfrac{1}{2} - 1\\dfrac{1}{3} = 4\\dfrac{3}{6} - 1\\dfrac{2}{6} = 3\\dfrac{1}{6}\\) m. Difference = rod \\(-\\) wire = \\(3\\dfrac{1}{6} - 1\\dfrac{1}{3} = 3\\dfrac{1}{6} - 1\\dfrac{2}{6} = 1\\dfrac{5}{6}\\) m.",
      "hints": ["Find the rod's length first (total minus wire).", "Then subtract the wire's length from the rod's length."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 1 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 4."
    },
    {
      "n": 8,
      "type_id": 1,
      "question": "In \\(\\dfrac{4}{A} \\times \\dfrac{B}{6} = \\dfrac{2}{9}\\), there are 2 stickers covering parts of 2 fractions. Which of the following are possible numbers under each sticker (A, B)?",
      "answer0": "A = 2, B = 1",
      "answer1": "A = 3, B = 2",
      "answer2": "A = 12, B = 4",
      "answer3": "A = 10, B = 5",
      "correct_answer": 2,
      "skill_id": 161,
      "difficulty_id": 2,
      "explanation": "Test A = 12, B = 4: \\(\\dfrac{4}{12} \\times \\dfrac{4}{6} = \\dfrac{1}{3} \\times \\dfrac{2}{3} = \\dfrac{2}{9}\\). Correct, option 3.",
      "hints": ["Substitute each pair into the multiplication.", "The product must simplify to \\(\\dfrac{2}{9}\\)."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 1 Q8",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Stickers A and B mark hidden numbers in the equation; transcribed as text rather than figure. Key: option 3."
    },
    {
      "n": 9,
      "type_id": 1,
      "question": "Tommy had 60 marbles. \\(\\dfrac{1}{4}\\) of the marbles were red, \\(\\dfrac{1}{6}\\) of them were green and the rest were blue. How many blue marbles did Tommy have?",
      "answer0": "50",
      "answer1": "35",
      "answer2": "25",
      "answer3": "10",
      "correct_answer": 1,
      "skill_id": 165,
      "difficulty_id": 2,
      "explanation": "Red = \\(\\dfrac{1}{4} \\times 60 = 15\\). Green = \\(\\dfrac{1}{6} \\times 60 = 10\\). Blue = 60 \\(-\\) 15 \\(-\\) 10 = 35.",
      "hints": ["Find the number of red and green marbles.", "Subtract both from 60."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 1 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 2."
    },
    {
      "n": 10,
      "type_id": 1,
      "question": "Mrs Lin bought 3 kg of flour. She used half of it to bake a cake. She used some flour to bake a pie and had \\(\\dfrac{3}{8}\\) kg of flour left. How much flour did she use to bake the pie?",
      "answer0": "\\(1\\dfrac{1}{8}\\) kg",
      "answer1": "\\(1\\dfrac{1}{3}\\) kg",
      "answer2": "\\(2\\dfrac{1}{8}\\) kg",
      "answer3": "\\(2\\dfrac{5}{8}\\) kg",
      "correct_answer": 0,
      "skill_id": 165,
      "difficulty_id": 2,
      "explanation": "Cake used \\(\\dfrac{1}{2} \\times 3 = 1\\dfrac{1}{2}\\) kg. Flour after cake = \\(3 - 1\\dfrac{1}{2} = 1\\dfrac{1}{2}\\) kg. Pie = \\(1\\dfrac{1}{2} - \\dfrac{3}{8} = 1\\dfrac{4}{8} - \\dfrac{3}{8} = 1\\dfrac{1}{8}\\) kg.",
      "hints": ["Half of 3 kg goes to the cake.", "Pie = flour after cake minus flour left."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 1 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: option 1."
    },
    {
      "n": 11,
      "type_id": 2,
      "question": "Find the value of \\(45\\,000 \\div 60\\)<br>[?]",
      "answer0": "750",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 151,
      "difficulty_id": 1,
      "explanation": "\\(45\\,000 \\div 60 = 4500 \\div 6 = 750\\).",
      "hints": ["Divide both by 10 first: \\(4500 \\div 6\\).", "\\(4500 \\div 6 = 750\\)."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 1 Q11",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Printed key writes '4500 / 6 = 450' which is an arithmetic typo; the correct value is 750."
    },
    {
      "n": 12,
      "type_id": 2,
      "question": "Find the value of \\(4 + 6 \\times 8 \\div (5 - 1 \\times 2)\\)<br>[?]",
      "answer0": "20",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 155,
      "difficulty_id": 2,
      "explanation": "Brackets first: \\(5 - 1 \\times 2 = 5 - 2 = 3\\). Then \\(6 \\times 8 = 48\\); \\(48 \\div 3 = 16\\); \\(4 + 16 = 20\\).",
      "hints": ["Evaluate inside the brackets first, doing the multiplication before subtraction.", "Then do multiplication and division left to right, then add."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 1 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Key: 20."
    },
    {
      "n": 13,
      "type_id": 1,
      "question": "Find the value of \\(30 \\div 8\\). Express your answer as a mixed number in its simplest form.",
      "answer0": "\\(3\\dfrac{3}{4}\\)",
      "answer1": "\\(3\\dfrac{6}{8}\\)",
      "answer2": "\\(3\\dfrac{1}{4}\\)",
      "answer3": "\\(3\\dfrac{2}{3}\\)",
      "correct_answer": 0,
      "skill_id": 157,
      "difficulty_id": 1,
      "explanation": "\\(30 \\div 8 = \\dfrac{30}{8} = 3\\dfrac{6}{8} = 3\\dfrac{3}{4}\\).",
      "hints": ["8 goes into 30 three times with remainder 6.", "Write the remainder as a fraction \\(\\dfrac{6}{8}\\) and simplify."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 1 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer is a mixed number, so rendered as MCQ. Key: 3 3/4."
    },
    {
      "n": 14,
      "type_id": 1,
      "question": "In the number line, A and B are mixed numbers. Find A, then find A + B.",
      "answer0": "A = \\(2\\dfrac{1}{2}\\), A + B = \\(5\\dfrac{3}{4}\\)",
      "answer1": "A = \\(2\\dfrac{1}{4}\\), A + B = \\(5\\dfrac{1}{2}\\)",
      "answer2": "A = \\(2\\dfrac{1}{2}\\), A + B = \\(6\\dfrac{1}{4}\\)",
      "answer3": "A = \\(2\\dfrac{3}{4}\\), A + B = \\(5\\dfrac{3}{4}\\)",
      "correct_answer": 0,
      "skill_id": 119,
      "difficulty_id": 2,
      "explanation": "The number line from 1 to 4 is divided into equal quarter intervals. A reads \\(2\\dfrac{1}{2}\\) and B reads \\(3\\dfrac{1}{4}\\). A + B = \\(2\\dfrac{1}{2} + 3\\dfrac{1}{4} = 5\\dfrac{3}{4}\\).",
      "hints": ["Find the size of each interval on the number line.", "Read off A and B, then add."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 1 Q14",
      "image_needed": true,
      "image_options": false,
      "image_file": "q14.png",
      "image_page": 6,
      "image_bbox": [0.18, 0.13, 0.82, 0.22],
      "image_loc": "horizontal number line near top of page, labelled 1, A, B, 4",
      "notes": "Mixed-number answers, so rendered as MCQ combining parts (a) Find A and (b) Find A+B. Key: a) 2 1/2, b) 5 3/4 (printed b shown as 5 6/8 = 5 3/4)."
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "The figure is made up of 2 identical rectangles and 2 shaded triangles. Find the total area of the 2 shaded triangles.<br>[?] cm²",
      "answer0": "140",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 186,
      "difficulty_id": 2,
      "explanation": "Each rectangle is 14 cm by 10 cm. Each shaded triangle has base 14 cm and height 10 cm, area = \\(\\dfrac{1}{2} \\times 14 \\times 10 = 70\\) cm². Two triangles = \\(2 \\times 70 = 140\\) cm².",
      "hints": ["Each triangle has base 14 cm and height 10 cm.", "Area of triangle = \\(\\dfrac{1}{2} \\times base \\times height\\); there are two."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 1 Q15",
      "image_needed": true,
      "image_options": false,
      "image_file": "q15.png",
      "image_page": 6,
      "image_bbox": [0.22, 0.50, 0.66, 0.63],
      "image_loc": "two side-by-side rectangles with shaded triangles, marked 14 cm wide and 10 cm tall",
      "notes": "Answer in cm². Key: 140 cm2."
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "Dots are placed at an equal distance from each other along the 7 sides of the 3 triangles. The number of dots on each side of the triangle is the same and each corner of the triangle has a dot on it. When there are 4 dots on each side of the triangle, there are 19 dots on the 3 triangles. When there are 20 dots on each side of the triangle, find the total number of dots on the 3 triangles.<br>[?]",
      "answer0": "131",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "With 4 dots per side, there are 19 dots total (the 3 triangles share corners). Non-corner dots per side = 4 - 2 = 2; total shared corners = 4 vertices. Using the printed method: (20 - 2) = 18 inner dots per side along the 7 sides gives \\(7 \\times 18 = 126\\); plus the 5 corner/junction dots = 126 + 5 = 131.",
      "hints": ["Find how many dots lie strictly between corners on each side.", "Multiply by the 7 sides, then add the shared corner dots."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 1 Q16",
      "image_needed": true,
      "image_options": false,
      "image_file": "q16.png",
      "image_page": 7,
      "image_bbox": [0.30, 0.18, 0.62, 0.30],
      "image_loc": "two adjoining triangles forming 3 triangles with dots along sides, centred upper area",
      "notes": "Pattern question. Key working: 19-5=14, 14/7=2, 20-2=18, 7x18=126, 126+5=131. Final answer 131."
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "In the figure, not drawn to scale, ABCD is a square, DEFG is a rectangle, AC, CH, AH and GH are straight lines. Find the total area of the shaded parts.<br>[?] cm²",
      "answer0": "108",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 186,
      "difficulty_id": 3,
      "explanation": "Rectangle DEFG has height 8 cm; FE = FH + HE = 13 + 14 = 27 cm. Triangle ACH (shaded, right portion) and triangle GCH (shaded, left portion) are computed using base CH along the rectangle and the relevant heights. The printed key gives the total shaded area as 108 cm².",
      "hints": ["Split the shaded region into the two triangles meeting at H.", "Use base \\(\\times\\) height \\(\\div\\) 2 for each, then add."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 1 Q17",
      "image_needed": true,
      "image_options": false,
      "image_file": "q17.png",
      "image_page": 8,
      "image_bbox": [0.28, 0.25, 0.68, 0.50],
      "image_loc": "square ABCD joined to rectangle DEFG, shaded triangles meeting at H; marked 13 cm, 14 cm, 8 cm",
      "notes": "Answer in cm². Key: 108 cm2 (printed worked steps not fully legible; final answer transcribed from key)."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "Mr Tan baked 440 apple pies and banana pies at first. He sold \\(\\dfrac{3}{4}\\) of the apple pies and \\(\\dfrac{2}{5}\\) of the banana pies. The number of banana pies unsold was twice the number of apple pies unsold. (a) How many more apple pies than banana pies did Mr Tan bake at first? (b) What was the total number of pies sold? [?] [?]",
      "answer0": "40",
      "answer1": "260",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 165,
      "difficulty_id": 3,
      "explanation": "Apple unsold = \\(\\dfrac{1}{4}\\) of apples; banana unsold = \\(\\dfrac{3}{5}\\) of bananas. Banana unsold = 2 \\(\\times\\) apple unsold. Let apples be in quarters and bananas in fifths; solving gives apples = 240, bananas = 200, so (a) 240 - 200 = 40 more apple pies. Sold = \\(\\dfrac{3}{4}\\times240 + \\dfrac{2}{5}\\times200 = 180 + 80 = 260\\). (b) 260 pies sold. Key working: a) 40; b) 9u = 4u = 13u, 13 \\(\\times\\) 20 = 260.",
      "hints": ["Express apple-unsold and banana-unsold with the unsold-relationship to find the units.", "(a) compare the two totals; (b) add the pies sold from each type."],
      "source": "Red Swastika 2023 P5 Weighted Assessment 1 Q18",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Two answer blanks: (a) 40 more apple pies; (b) 260 pies sold. Part (a) originally asks to circle apple/banana — answer is apple. Key: a) 40, b) 260."
    }
  ]
}