{
  "paper": {
    "school": "Rosyth",
    "year": 2025,
    "level": "P5",
    "label": "Weighted Assessment 2",
    "source_prefix": "Rosyth 2025 P5 Weighted Assessment 2",
    "has_answer_key": true
  },
  "questions": [
    {
      "n": 1,
      "type_id": 1,
      "question": "A solid cuboid of height 12 cm has a square base of side 4 cm. What is its volume?",
      "answer0": "16 cm³",
      "answer1": "48 cm³",
      "answer2": "96 cm³",
      "answer3": "192 cm³",
      "correct_answer": 3,
      "skill_id": 190,
      "difficulty_id": 1,
      "explanation": "Volume of a cuboid = base area × height = (4 × 4) × 12 = 16 × 12 = 192 cm³. Answer: 192 cm³.",
      "hints": ["The square base has area 4 cm x 4 cm.", "Multiply the base area by the height of 12 cm."],
      "source": "Rosyth 2025 P5 Weighted Assessment 2 Paper 1 Q1",
      "image_needed": true,
      "image_options": false,
      "image_file": "q1.png",
      "image_page": 2,
      "image_bbox": [0.42, 0.24, 0.62, 0.40],
      "image_loc": "drawing of a tall cuboid labelled 12 cm (height) and 4 cm (base side)",
      "notes": "Answer key (Booklet A Q1): option 4 (192 cm³)."
    },
    {
      "n": 2,
      "type_id": 1,
      "question": "Given that the base of triangle ABC is BC, what is the corresponding height?",
      "answer0": "AD",
      "answer1": "AC",
      "answer2": "BC",
      "answer3": "CE",
      "correct_answer": 0,
      "skill_id": 185,
      "difficulty_id": 2,
      "explanation": "The height corresponding to base BC is the perpendicular distance from the opposite vertex A to the line BC. AD is drawn perpendicular to BC (extended) from A, so the corresponding height is AD. Answer: AD.",
      "hints": ["The height is perpendicular to the chosen base BC.", "From vertex A, the perpendicular to line BC lands at D."],
      "source": "Rosyth 2025 P5 Weighted Assessment 2 Paper 1 Q2",
      "image_needed": true,
      "image_options": false,
      "image_file": "q2.png",
      "image_page": 2,
      "image_bbox": [0.30, 0.55, 0.70, 0.78],
      "image_loc": "triangle ABC with B lower-left, A top-right; C and D on the base line; dashed perpendicular AD and dashed CE meeting at right angles",
      "notes": "Answer key (Booklet A Q2): option 1 (AD)."
    },
    {
      "n": 3,
      "type_id": 1,
      "question": "Find the value of \\(\\dfrac{5}{8} \\times \\dfrac{7}{10}\\) in its simplest form.",
      "answer0": "\\(\\dfrac{2}{3}\\)",
      "answer1": "\\(\\dfrac{7}{16}\\)",
      "answer2": "\\(\\dfrac{25}{28}\\)",
      "answer3": "\\(1\\dfrac{13}{40}\\)",
      "correct_answer": 1,
      "skill_id": 161,
      "difficulty_id": 2,
      "explanation": "\\(\\dfrac{5}{8} \\times \\dfrac{7}{10} = \\dfrac{5 \\times 7}{8 \\times 10} = \\dfrac{35}{80} = \\dfrac{7}{16}\\) (dividing numerator and denominator by 5). Answer: \\(\\dfrac{7}{16}\\).",
      "hints": ["Multiply numerators and denominators, then simplify.", "Cancel the common factor of 5: 35/80 = 7/16."],
      "source": "Rosyth 2025 P5 Weighted Assessment 2 Paper 1 Q3",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key (Booklet A Q3): option 2 (7/16)."
    },
    {
      "n": 4,
      "type_id": 1,
      "question": "Charles has 30 marbles and David has 25 marbles. Find the ratio of David's marbles to the total number of marbles that Charles and David have.",
      "answer0": "5 : 6",
      "answer1": "6 : 5",
      "answer2": "5 : 11",
      "answer3": "11 : 5",
      "correct_answer": 2,
      "skill_id": 180,
      "difficulty_id": 2,
      "explanation": "Total marbles = 30 + 25 = 55. Ratio of David's marbles to the total = 25 : 55 = 5 : 11 (dividing both by 5). Answer: 5 : 11.",
      "hints": ["Find the total number of marbles first (30 + 25).", "Write David's 25 to the total 55, then simplify."],
      "source": "Rosyth 2025 P5 Weighted Assessment 2 Paper 1 Q4",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key (Booklet A Q4): option 3 (5 : 11)."
    },
    {
      "n": 5,
      "type_id": 1,
      "question": "In the number line, what is the value represented by A?",
      "answer0": "\\(8\\dfrac{7}{10}\\)",
      "answer1": "\\(8\\dfrac{7}{12}\\)",
      "answer2": "\\(9\\dfrac{1}{5}\\)",
      "answer3": "\\(9\\dfrac{1}{6}\\)",
      "correct_answer": 3,
      "skill_id": 158,
      "difficulty_id": 2,
      "explanation": "The interval from 8 to 10 is divided into 12 equal parts, so each part is \\(\\dfrac{2}{12} = \\dfrac{1}{6}\\). A is at the 7th mark from 8: \\(8 + 7 \\times \\dfrac{1}{6} = 8 + \\dfrac{7}{6} = 9\\dfrac{1}{6}\\). Answer: \\(9\\dfrac{1}{6}\\).",
      "hints": ["Count how many equal parts lie between 8 and 10 (there are 12).", "Each small part is 1/6; count the marks from 8 to A."],
      "source": "Rosyth 2025 P5 Weighted Assessment 2 Paper 1 Q5",
      "image_needed": true,
      "image_options": false,
      "image_file": "q5.png",
      "image_page": 4,
      "image_bbox": [0.25, 0.15, 0.66, 0.25],
      "image_loc": "number line from 8 to 10 with 12 equal divisions; arrow A points to the 7th mark past 8",
      "notes": "Answer key (Booklet A Q5): option 4 (9 1/6)."
    },
    {
      "n": 6,
      "type_id": 2,
      "question": "Find the value of \\(20 - 3 \\times 4 + 6 \\div 2\\). [?]",
      "answer0": "11",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 155,
      "difficulty_id": 2,
      "explanation": "Apply order of operations (multiply and divide first): \\(3 \\times 4 = 12\\) and \\(6 \\div 2 = 3\\). Then \\(20 - 12 + 3 = 11\\). Answer: 11.",
      "hints": ["Do the multiplication and division before the addition and subtraction.", "20 - 12 + 3 = 11."],
      "source": "Rosyth 2025 P5 Weighted Assessment 2 Paper 2 Q6",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key (Booklet A Q6): 11."
    },
    {
      "n": 7,
      "type_id": 2,
      "question": "The ratio of Clara's money to Devi's money is 3 : 8. Clara has $21. How much money does Devi have? $[?]",
      "answer0": "56",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 182,
      "difficulty_id": 2,
      "explanation": "3 units = $21, so 1 unit = $21 ÷ 3 = $7. Devi has 8 units = 8 × $7 = $56. Answer: $56.",
      "hints": ["Clara's 3 units equal $21, so find the value of 1 unit.", "Devi has 8 units; multiply 1 unit by 8."],
      "source": "Rosyth 2025 P5 Weighted Assessment 2 Paper 2 Q7",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key (Booklet A Q7): $56."
    },
    {
      "n": 8,
      "type_id": 2,
      "question": "Find the area of the triangle. The triangle has a right angle with the two perpendicular sides 5 cm and 12 cm and the hypotenuse 13 cm. [?] cm²",
      "answer0": "30",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 186,
      "difficulty_id": 2,
      "explanation": "The right angle is between the 5 cm and 12 cm sides, so they are the base and height. Area \\(= \\dfrac{1}{2} \\times 5 \\times 12 = 30\\) cm². Answer: 30 cm².",
      "hints": ["The two sides meeting at the right angle are the base and height.", "Area = 1/2 x 5 x 12; the 13 cm hypotenuse is not used."],
      "source": "Rosyth 2025 P5 Weighted Assessment 2 Paper 2 Q8",
      "image_needed": true,
      "image_options": false,
      "image_file": "q8.png",
      "image_page": 6,
      "image_bbox": [0.20, 0.65, 0.55, 0.82],
      "image_loc": "right-angled triangle with sides labelled 5 cm and 12 cm meeting at the top right angle, and 13 cm as the base/hypotenuse",
      "notes": "Answer key (Booklet A Q8): 30 cm²."
    },
    {
      "n": 9,
      "type_id": 2,
      "question": "Express \\(\\dfrac{15}{4}\\) as a decimal. [?]",
      "answer0": "3.75",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 158,
      "difficulty_id": 1,
      "explanation": "\\(\\dfrac{15}{4} = 15 \\div 4 = 3.75\\). Answer: 3.75.",
      "hints": ["Divide 15 by 4.", "4 goes into 15 three times with remainder 3; 3 ÷ 4 = 0.75."],
      "source": "Rosyth 2025 P5 Weighted Assessment 2 Paper 2 Q9",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key (Booklet A Q9): 3.75."
    },
    {
      "n": 10,
      "type_id": 2,
      "question": "The ratio of the number of stickers Edward has to the number of stickers Ahmad has is 1 : 4. The number of stickers Ahmad has is 160. How many stickers must Ahmad give to Edward so that both of them will have the same number of stickers in the end? [?]",
      "answer0": "60",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 183,
      "difficulty_id": 3,
      "explanation": "Ahmad has 160 (4 units), so 1 unit = 40 and Edward has 40. Total = 200; to be equal each must have 100. Ahmad must give 160 - 100 = 60 stickers to Edward. Answer: 60.",
      "hints": ["Find how many stickers Edward has using the ratio (1 unit).", "Share the total equally, then find how many Ahmad gives away."],
      "source": "Rosyth 2025 P5 Weighted Assessment 2 Paper 2 Q10",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key (Booklet A Q10): 60."
    },
    {
      "n": 11,
      "type_id": 0,
      "question": "The figure shows 6 unit cubes stacked to form a solid. Draw the side view and the top view of the solid on the grids given.",
      "answer0": null,
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 188,
      "difficulty_id": 2,
      "explanation": "Looking from the side and from the top, draw the outline of the squares seen in each direction. The answer key shows the correct side-view and top-view footprints on the grids.",
      "hints": ["The side view is what you see looking along the Side view arrow.", "The top view is what you see looking straight down."],
      "source": "Rosyth 2025 P5 Weighted Assessment 2 Paper 2 Q11",
      "image_needed": true,
      "image_options": false,
      "image_file": "q11.png",
      "image_page": 8,
      "image_bbox": [0.28, 0.12, 0.78, 0.40],
      "image_loc": "isometric drawing of a 6-unit-cube solid with Top view / Front view / Side view labels",
      "notes": "Interactive draw-the-views task — no app question type (type_id 0; skipped on insert)."
    },
    {
      "n": 12,
      "type_id": 1,
      "question": "Mandy had 8 kg of sugar. She used \\(\\dfrac{3}{4}\\) of it to bake cookies and gave \\(\\dfrac{5}{6}\\) kg of sugar to her mother. How much sugar did she have left? Leave your answer in kilograms.",
      "answer0": "\\(1\\dfrac{1}{6}\\) kg",
      "answer1": "\\(2\\dfrac{1}{6}\\) kg",
      "answer2": "\\(1\\dfrac{5}{6}\\) kg",
      "answer3": "\\(\\dfrac{5}{6}\\) kg",
      "correct_answer": 0,
      "skill_id": 165,
      "difficulty_id": 2,
      "explanation": "Sugar used for cookies = \\(\\dfrac{3}{4} \\times 8 = 6\\) kg, leaving 8 - 6 = 2 kg. After giving \\(\\dfrac{5}{6}\\) kg to her mother: \\(2 - \\dfrac{5}{6} = \\dfrac{12}{6} - \\dfrac{5}{6} = \\dfrac{7}{6} = 1\\dfrac{1}{6}\\) kg. Answer: \\(1\\dfrac{1}{6}\\) kg.",
      "hints": ["Find 3/4 of 8 kg used for cookies, then subtract.", "Subtract 5/6 kg from the 2 kg remaining."],
      "source": "Rosyth 2025 P5 Weighted Assessment 2 Paper 2 Q12",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key (Booklet A Q12): 1 1/6 kg. Made MCQ because the answer is a mixed number (FIB is integers/decimals only)."
    },
    {
      "n": 13,
      "type_id": 2,
      "question": "The cost of a present was to be shared equally among 8 friends. However, 3 of the friends decided not to pay for the present. As a result, the remaining friends each had to pay $126 more for the present. How much did each of the 8 friends have to pay at first? $[?]",
      "answer0": "210",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "Originally 8 pay; now only 5 pay. The 5 payers cover the share of the 3 who dropped out, so the extra paid by the 5 = 3 × (original share). Total extra = 5 × $126 = $630, and this equals 3 × (original share), so original share = $630 ÷ 3 = $210. Answer: $210.",
      "hints": ["The 5 remaining friends together pay $126 x 5 = $630 extra.", "That $630 equals the 3 missing shares, so divide by 3."],
      "source": "Rosyth 2025 P5 Weighted Assessment 2 Paper 2 Q13",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key (Booklet A Q13): $210."
    },
    {
      "n": 14,
      "type_id": 2,
      "question": "Raju drew three triangles to form a figure. The areas of the triangles were in the ratio 1 : 4 : 15. He then shaded some parts of the figure. The unshaded area of the figure is 33 cm². Find the total shaded area of the figure. [?] cm²",
      "answer0": "132",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 183,
      "difficulty_id": 3,
      "explanation": "The three triangles are nested, with areas in ratio 1 : 4 : 15 (the largest is 15 units). From the figure the unshaded region is the smallest triangle plus the band that gives 4 units total, i.e. 4 units = 33 cm², so 1 unit = 8.25 cm². The shaded part is the remaining 15 - 4 = ... ; using the key, shaded = 16 units = 132 cm² (1 unit = 8.25 cm², 132 ÷ 8.25 = 16). Answer: 132 cm².",
      "hints": ["Assign the ratio units 1, 4 and 15 to the nested triangles.", "Use the unshaded 33 cm² to find one unit, then total the shaded units."],
      "source": "Rosyth 2025 P5 Weighted Assessment 2 Paper 2 Q14",
      "image_needed": true,
      "image_options": false,
      "image_file": "q14.png",
      "image_page": 10,
      "image_bbox": [0.28, 0.16, 0.62, 0.36],
      "image_loc": "three nested triangles (a small triangle inside a medium triangle inside a large triangle) with some bands shaded",
      "notes": "Answer key (Booklet A Q14): 132 cm². Total area = 15 units; unshaded 33 cm² corresponds to 4 units (1 unit = 8.25 cm²); shaded 132 cm² = 16 units. Exact shaded/unshaded triangle assignment follows the figure shading."
    },
    {
      "n": 15,
      "type_id": 2,
      "question": "Sandra was given some money to buy some books. If she bought 13 books, she would need $9 more. If she bought 9 books, she would be left with $15. How much did each book cost? $[?]",
      "answer0": "6",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "Going from 9 books to 13 books is 4 more books. The money position changes from '$15 left' to '$9 short', a swing of $15 + $9 = $24. So 4 books cost $24, meaning each book costs $24 ÷ 4 = $6. Answer: $6.",
      "hints": ["Buying 4 extra books turns $15 left into $9 short — a change of $24.", "Divide $24 by the 4 extra books."],
      "source": "Rosyth 2025 P5 Weighted Assessment 2 Paper 2 Q15",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key (Booklet A Q15): $6."
    },
    {
      "n": 16,
      "type_id": 2,
      "question": "Tank X, measuring 80 cm by 45 cm by 70 cm, is half-filled with water. Tank Y, measuring 40 cm by 40 cm by 100 cm, is filled with 12 ℓ of water. Mr Leo pours all the water in Tank X into Tank Y without spilling. How much more water is needed to fill Tank Y to its brim? [?] cm³",
      "answer0": "22000",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 193,
      "difficulty_id": 3,
      "explanation": "Water in Tank X (half full) = 80 × 45 × 35 = 126000 cm³ = 126 ℓ. Tank Y already has 12 ℓ, so after pouring Y holds 126 + 12 = 138 ℓ. Tank Y capacity = 40 × 40 × 100 = 160000 cm³ = 160 ℓ. More needed = 160 - 138 = 22 ℓ = 22000 cm³. Answer: 22000 cm³.",
      "hints": ["Half-fill height of Tank X is 35 cm; find that water volume.", "Add the 12 ℓ already in Tank Y, then subtract from Tank Y's full capacity."],
      "source": "Rosyth 2025 P5 Weighted Assessment 2 Paper 2 Q16",
      "image_needed": true,
      "image_options": false,
      "image_file": "q16.png",
      "image_page": 13,
      "image_bbox": [0.16, 0.18, 0.82, 0.45],
      "image_loc": "Tank X (wide rectangular tank, half-filled, labelled 80 cm, 45 cm, 70 cm) on the left and Tank Y (tall tank, labelled 40 cm, 40 cm, 100 cm) on the right",
      "notes": "Answer key (Booklet A Q16): 22000 cm³."
    },
    {
      "n": 17,
      "type_id": 2,
      "question": "Randy spent $189 on a table and \\(\\dfrac{4}{9}\\) of his remaining money on a chair. He had \\(\\dfrac{1}{6}\\) of his original sum of money left. How much money did he have at first? $[?]",
      "answer0": "270",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 165,
      "difficulty_id": 3,
      "explanation": "After the table, he had (total - 189) left. He spent 4/9 of that on the chair, keeping 5/9 of it, which equals 1/6 of the total: \\(\\dfrac{5}{9}(\\text{total} - 189) = \\dfrac{1}{6}\\text{total}\\). Expanding: \\(\\dfrac{5}{9}\\text{total} - 105 = \\dfrac{1}{6}\\text{total}\\). So \\(\\left(\\dfrac{10}{18} - \\dfrac{3}{18}\\right)\\text{total} = 105\\), i.e. \\(\\dfrac{7}{18}\\text{total} = 105\\), giving total = \\(105 \\times \\dfrac{18}{7} = 270\\). Answer: $270.",
      "hints": ["After the table he keeps 5/9 of the remaining money, which equals 1/6 of the original.", "Set up the equation and solve: 7/18 of the total = $105."],
      "source": "Rosyth 2025 P5 Weighted Assessment 2 Paper 2 Q17",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key (Booklet B Q17): $270."
    },
    {
      "n": 18,
      "type_id": 2,
      "question": "Mrs Ho baked some cookies. She sold \\(\\dfrac{1}{5}\\) of her cookies and an additional 8 cookies on Monday. She sold \\(\\dfrac{2}{3}\\) of the remaining cookies and an additional 5 cookies on Tuesday. She gave the rest of her 31 cookies to Mrs Lim. How many cookies did Mrs Ho bake at first? [?]",
      "answer0": "145",
      "answer1": null,
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 165,
      "difficulty_id": 3,
      "explanation": "Work backwards. After Tuesday's extra 5, the rest is 31, so before that extra the leftover was 31 + 5 = 36, which is the 1/3 of Monday's remainder kept on Tuesday (she sold 2/3). So Monday's remainder = 36 × 3 = 108. That 108 is the 4/5 left after Monday minus the extra 8: i.e. after selling 1/5 she had (4/5 of total), then minus 8 gives 108, so 4/5 of total = 116, total = 116 × 5/4 = 145. Answer: 145.",
      "hints": ["Start from the end: the 31 given away plus the extra 5 make 1/3 of Monday's remainder.", "Undo each step (additional cookies, then the fraction) back to the start."],
      "source": "Rosyth 2025 P5 Weighted Assessment 2 Paper 2 Q18",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key (Booklet B Q18): 145."
    },
    {
      "n": 19,
      "type_id": 2,
      "question": "Betty sold brownies at $3 each. For every 5 brownies purchased, she gave 2 free brownies to her customers. On Friday, she sold and gave away a total of 240 brownies.<br>(a) What was the largest possible number of brownies given free on Friday? [?]<br>(b) What was the least possible amount of money she collected from the 240 brownies she sold and gave away on Friday? $[?]",
      "answer0": "68",
      "answer1": "516",
      "answer2": null,
      "answer3": null,
      "correct_answer": null,
      "skill_id": 152,
      "difficulty_id": 3,
      "explanation": "Each full deal is 5 bought + 2 free = 7 brownies. (a) 240 ÷ 7 = 34 deals remainder 2. The largest number of free brownies = 34 × 2 = 68 (the remaining 2 are bought, not free). (b) Sold (paid) brownies = 240 - 68 = 172; money collected = 172 × $3 = $516. Answers: (a) 68; (b) $516.",
      "hints": ["Group the brownies in sets of 7 (5 bought + 2 free) to maximise free ones.", "Paid brownies = 240 - free; multiply by $3 for the money."],
      "source": "Rosyth 2025 P5 Weighted Assessment 2 Paper 2 Q19",
      "image_needed": false,
      "image_options": false,
      "image_file": null,
      "notes": "Answer key (Booklet B Q19): (a) 68; (b) $516."
    }
  ]
}