{ "paper": { "school": "Red Swastika", "year": 2025, "level": "P4", "label": "Weighted Assessment 2", "source_prefix": "Red Swastika 2025 P4 Weighted Assessment 2", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "The figure is made up of identical triangles. What fraction of the figure is shaded?", "answer0": "$$\\frac{2}{7}$$", "answer1": "$$\\frac{2}{9}$$", "answer2": "$$\\frac{7}{2}$$", "answer3": "$$\\frac{7}{9}$$", "correct_answer": 1, "skill_id": 120, "difficulty_id": 1, "explanation": "The large triangle is divided into 9 identical small triangles. 2 of them are shaded, so the shaded fraction is $$\\frac{2}{9}$$.", "hints": ["Count the total number of identical small triangles.", "Count how many small triangles are shaded, then write shaded over total."], "source": "Red Swastika 2025 P4 Weighted Assessment 2 Q1", "image_needed": true, "image_options": false, "image_file": "q1.png", "image_page": 1, "image_bbox": [0.32, 0.41, 0.62, 0.62], "image_loc": "middle of page 1, large triangle made of small triangles with 2 shaded, above the options", "notes": "Total 9 small triangles, 2 shaded = 2/9. Key: option 2." }, { "n": 2, "type_id": 1, "question": "Which angle is greater than a right angle?", "answer0": "$$\\angle a$$", "answer1": "$$\\angle b$$", "answer2": "$$\\angle c$$", "answer3": "$$\\angle d$$", "correct_answer": 3, "skill_id": 140, "difficulty_id": 1, "explanation": "A right angle is 90°. Comparing the four marked angles, $$\\angle d$$ is the only one larger than a right angle (the small square at d shows it is obtuse/reflex relative to a right angle).", "hints": ["A right angle is exactly 90°.", "Look for the angle that opens wider than a square corner."], "source": "Red Swastika 2025 P4 Weighted Assessment 2 Q2", "image_needed": true, "image_options": false, "image_file": "q2.png", "image_page": 2, "image_bbox": [0.28, 0.13, 0.62, 0.25], "image_loc": "top of page 2, zig-zag figure with marked angles a, b, c, d", "notes": "Key: option 4 (angle d)." }, { "n": 3, "type_id": 1, "question": "In which of the following does the digit '4' stand for 4 hundredths?", "answer0": "460.57", "answer1": "124.85", "answer2": "65.47", "answer3": "92.54", "correct_answer": 3, "skill_id": 123, "difficulty_id": 1, "explanation": "Hundredths is the second place after the decimal point. In 92.54, the 4 is in the hundredths place, so it stands for 4 hundredths (0.04).", "hints": ["The hundredths digit is the second digit after the decimal point.", "Check each number's second decimal place for the digit 4."], "source": "Red Swastika 2025 P4 Weighted Assessment 2 Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 4 (92.54)." }, { "n": 4, "type_id": 1, "question": "Which of the following lines is perpendicular to AB?", "answer0": "BW", "answer1": "CD", "answer2": "WX", "answer3": "YZ", "correct_answer": 0, "skill_id": 143, "difficulty_id": 2, "explanation": "AB is the horizontal top side of the rectangle. A line perpendicular to AB must be vertical. BW runs vertically downward from B, meeting AB at a right angle, so BW is perpendicular to AB.", "hints": ["Perpendicular lines meet at a right angle (90°).", "AB is horizontal, so the perpendicular line must be vertical."], "source": "Red Swastika 2025 P4 Weighted Assessment 2 Q4", "image_needed": true, "image_options": false, "image_file": "q4.png", "image_page": 3, "image_bbox": [0.22, 0.12, 0.74, 0.30], "image_loc": "top of page 3, rectangle ABCD with attached rectangle WXYZ, above the options", "notes": "Key: option 1 (BW)." }, { "n": 5, "type_id": 1, "question": "The figure is made up of a rectangle ABCD and a square CEFG. Find the length of DE.", "answer0": "22 cm", "answer1": "16 cm", "answer2": "13 cm", "answer3": "9 cm", "correct_answer": 2, "skill_id": 138, "difficulty_id": 2, "explanation": "The square side = total bottom length - rectangle length = 54 - 38 = 16 cm. The rectangle height DC = 29 cm. E lies on DC at the top of the square, so DE = 29 - 16 = 13 cm.", "hints": ["Find the side of the square from the difference in the two horizontal lengths.", "DE = rectangle height - square side."], "source": "Red Swastika 2025 P4 Weighted Assessment 2 Q5", "image_needed": true, "image_options": false, "image_file": "q5.png", "image_page": 3, "image_bbox": [0.28, 0.50, 0.62, 0.62], "image_loc": "middle of page 3, L-shaped figure of rectangle ABCD plus square CEFG with dimensions 38 cm, 29 cm, 54 cm", "notes": "Key: option 3 (13 cm)." }, { "n": 6, "type_id": 2, "question": "(a) Write $$\\frac{15}{7}$$ as a mixed number. [?]
(b) Express 0.75 as a fraction in its simplest form. [?]", "answer0": "2 1/7", "answer1": "3/4", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 119, "difficulty_id": 1, "explanation": "(a) $$15 \\div 7 = 2$$ remainder $$1$$, so $$\\frac{15}{7} = 2\\frac{1}{7}$$. (b) $$0.75 = \\frac{75}{100} = \\frac{3}{4}$$ after dividing numerator and denominator by 25.", "hints": ["Divide 15 by 7 to get the whole number and remainder.", "0.75 means 75 hundredths; simplify the fraction."], "source": "Red Swastika 2025 P4 Weighted Assessment 2 Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: a) 2 1/7, b) 3/4." }, { "n": 7, "type_id": 2, "question": "(a) Arrange the following in decreasing order. $$\\frac{13}{5}$$, $$2\\frac{3}{4}$$, $$\\frac{7}{8}$$
[?], [?], [?]
(b) What is the missing number in the box? $$\\frac{15}{24} = \\frac{[?]}{8}$$", "answer0": "2 3/4", "answer1": "13/5", "answer2": "7/8", "answer3": "5", "correct_answer": null, "skill_id": 79, "difficulty_id": 2, "explanation": "(a) Convert to decimals: $$\\frac{13}{5}=2.6$$, $$2\\frac{3}{4}=2.75$$, $$\\frac{7}{8}=0.875$$. In decreasing order: $$2\\frac{3}{4}$$, $$\\frac{13}{5}$$, $$\\frac{7}{8}$$. (b) $$\\frac{15}{24}=\\frac{5}{8}$$ (divide top and bottom by 3), so the missing number is 5.", "hints": ["Convert each fraction to a decimal to compare.", "Simplify 15/24 to a denominator of 8."], "source": "Red Swastika 2025 P4 Weighted Assessment 2 Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: a) 2 3/4, 13/5, 7/8 (greatest first); b) 5." }, { "n": 8, "type_id": 2, "question": "(a) How many pairs of parallel lines are there in the figure? [?]
(b) Name a pair of perpendicular lines. [?]", "answer0": "3", "answer1": "VW", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 100, "difficulty_id": 2, "explanation": "(a) Counting the sets of lines that never meet gives 3 pairs of parallel lines. (b) VW and WX meet at right angles, so VW is perpendicular to WX.", "hints": ["Parallel lines stay the same distance apart and never meet.", "Perpendicular lines meet at a right angle."], "source": "Red Swastika 2025 P4 Weighted Assessment 2 Q8", "image_needed": true, "image_options": false, "image_file": "q8.png", "image_page": 5, "image_bbox": [0.20, 0.13, 0.66, 0.32], "image_loc": "top of page 5, arrow/grid figure with points U, V, W, X, Y, Z", "notes": "Key: a) 3; b) VW / WX. Answer1 holds one valid perpendicular pair name; full pair is VW and WX." }, { "n": 9, "type_id": 2, "question": "(a) A number has 2 decimal places. It is 34.7 when rounded to 1 decimal place. What is the smallest possible number? [?]
(b) In the number line shown, write the decimal represented by the letter A. [?]", "answer0": "34.65", "answer1": "6.006", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 128, "difficulty_id": 2, "explanation": "(a) To round to 34.7, the number must be at least 34.65; the smallest 2-decimal-place value is 34.65. (b) The line from 6 to 6.01 is split into 10 equal parts of 0.001 each. A is at the 6th mark, so A = 6.006.", "hints": ["The smallest number that rounds up to 34.7 is the half-way value.", "Each small interval between 6 and 6.01 represents 0.001."], "source": "Red Swastika 2025 P4 Weighted Assessment 2 Q9", "image_needed": true, "image_options": false, "image_file": "q9.png", "image_page": 5, "image_bbox": [0.24, 0.66, 0.86, 0.78], "image_loc": "lower half of page 5, number line from 6 to 6.01 with arrow marked A", "notes": "Key: a) 34.65, b) 6.006. Image only needed for part (b)." }, { "n": 10, "type_id": 2, "question": "Leonard had $120. He spent $$\\frac{5}{8}$$ of his money and saved the rest. How much did Leonard save? $[?]", "answer0": "45", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 2, "explanation": "He saved $$1-\\frac{5}{8}=\\frac{3}{8}$$ of his money. $$\\frac{1}{8}$$ of $120 = $120 \\div 8 = $15. Saved = $$\\frac{3}{8}$$ = $15 \\times 3 = $45.", "hints": ["Fraction saved = 1 - 5/8.", "Find 1/8 of $120 first, then multiply."], "source": "Red Swastika 2025 P4 Weighted Assessment 2 Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key working: 8u=120, 1u=15, saved 3u=$45. Answer prefixed by $ in stem." }, { "n": 11, "type_id": 2, "question": "The figure shows a square ABCD. Find $$\\angle y$$. [?]", "answer0": "31", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 230, "difficulty_id": 2, "explanation": "$$\\angle ADC = 90°$$ (corner of a square). The two marked angles at D are 24° and 35°, with $$\\angle y$$ between them: $$\\angle y = 90° - 24° - 35° = 31°$$.", "hints": ["Each corner of a square is 90°.", "Subtract the two given angles from 90°."], "source": "Red Swastika 2025 P4 Weighted Assessment 2 Q11", "image_needed": true, "image_options": false, "image_file": "q11.png", "image_page": 6, "image_bbox": [0.28, 0.42, 0.58, 0.62], "image_loc": "middle of page 6, square ABCD with two lines from D marking 24°, y, and 35°", "notes": "Answer in degrees. Key: 35+24=59, 90-59=31°." }, { "n": 12, "type_id": 2, "question": "Sophia drank $$\\frac{7}{10}$$ $$\\ell$$ of apple juice. John drank $$\\frac{1}{5}$$ $$\\ell$$ of apple juice less than her. How much apple juice did they drink altogether? Give your answer as a decimal. [?] $$\\ell$$", "answer0": "1.2", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 2, "explanation": "John drank $$\\frac{7}{10}-\\frac{1}{5}=\\frac{7}{10}-\\frac{2}{10}=\\frac{5}{10}$$ $$\\ell$$. Together: $$\\frac{7}{10}+\\frac{5}{10}=\\frac{12}{10}=1.2$$ $$\\ell$$.", "hints": ["First find John's amount by subtracting 1/5 from 7/10.", "Add both amounts and convert to a decimal."], "source": "Red Swastika 2025 P4 Weighted Assessment 2 Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 7/10 + 5/10 = 12/10 = 1.2 L. Unit (litre) is in the stem." }, { "n": 13, "type_id": 2, "question": "Helen was preparing for her Science examination. She managed to revise $$\\frac{1}{4}$$ of her textbook on Saturday and $$\\frac{1}{6}$$ of it on Sunday. She had 98 more pages to read. How many pages were there in the textbook? [?]", "answer0": "168", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 3, "explanation": "Revised over the weekend: $$\\frac{1}{4}+\\frac{1}{6}=\\frac{3}{12}+\\frac{2}{12}=\\frac{5}{12}$$. Left to read: $$1-\\frac{5}{12}=\\frac{7}{12}$$, which equals 98 pages. So $$\\frac{1}{12}=98\\div7=14$$ pages, and the whole textbook = $$14\\times12=168$$ pages.", "hints": ["Add the fractions revised, then find the fraction still left.", "The remaining fraction equals 98 pages; find 1 unit then the whole."], "source": "Red Swastika 2025 P4 Weighted Assessment 2 Q13", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 7/12 = 98, 1u=14, 12u=168 pages." }, { "n": 14, "type_id": 0, "question": "(a) Use a protractor to measure $$\\angle XYZ$$. (b) AB and BC are two sides of a square. Draw and label square ABCD in the grid. (c) Draw a rectangle BCEF such that its length is twice its breadth and BC is one of its breadths.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 140, "difficulty_id": 2, "explanation": "(a) Measuring with a protractor gives $$\\angle XYZ = 122°$$. (b) Complete square ABCD on the grid using AB and BC as adjacent sides. (c) Draw rectangle BCEF with BC as a breadth and length twice the breadth.", "hints": ["Place the protractor centre on Y and read the angle.", "For the square, the two given sides are equal and meet at 90°."], "source": "Red Swastika 2025 P4 Weighted Assessment 2 Q14", "image_needed": true, "image_options": false, "image_file": "q14.png", "image_page": 8, "image_bbox": [0.30, 0.18, 0.62, 0.30], "image_loc": "page 8, triangle XYZ figure for part (a); grid below for drawing parts (b) and (c)", "notes": "type_id 0 (protractor measurement + grid drawing, interactive — skipped on insert). Key: a) 122°; b)/c) draw on grid." }, { "n": 15, "type_id": 2, "question": "Ali, Benny and Charles have some marbles. Benny has three times as many marbles as Ali. Charles has $$\\frac{1}{2}$$ of the total number of marbles that Ali and Benny have altogether.
(a) The total number of marbles the 3 boys have is 1260. How many marbles does Benny have? [?]
(b) Charles gave $$\\frac{5}{6}$$ of his marbles to his brother. How many marbles did he have left? [?]", "answer0": "630", "answer1": "70", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "(a) Let Ali = 1 unit, then Benny = 3 units, Ali+Benny = 4 units, Charles = half of that = 2 units. Total = 1+3+2 = 6 units = 1260, so 1 unit = 1260 ÷ 6 = 210. Benny = 3 × 210 = 630. (b) Charles = 2 units = 420 marbles. He gave away $$\\frac{5}{6}$$, so he kept $$\\frac{1}{6}$$ = 420 ÷ 6 = 70 marbles.", "hints": ["Use units: Ali = 1u, Benny = 3u, Charles = half of (Ali+Benny).", "For (b), Charles kept 1/6 of his marbles."], "source": "Red Swastika 2025 P4 Weighted Assessment 2 Q15", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: a) Benny 630; b) Charles had 420, kept 1/6 = 70." }, { "n": 16, "type_id": 2, "question": "There are some beads in a box. $$\\frac{7}{9}$$ of them are red beads and the rest are blue beads. There are 130 more red beads than blue beads.
(a) What fraction of the beads are blue? [?]
(b) How many beads are there in the box? [?]", "answer0": "2/9", "answer1": "234", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 3, "explanation": "(a) Blue fraction = $$1-\\frac{7}{9}=\\frac{2}{9}$$. (b) Red is $$\\frac{7}{9}$$ and blue is $$\\frac{2}{9}$$, so red exceeds blue by $$\\frac{5}{9}$$ = 130 beads. So $$\\frac{1}{9}=130\\div5=26$$ beads, and total = $$26\\times9=234$$ beads.", "hints": ["Blue fraction = 1 - 7/9.", "The difference 7/9 - 2/9 = 5/9 equals 130 beads; find 1/9 then the whole."], "source": "Red Swastika 2025 P4 Weighted Assessment 2 Q16", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: a) 2/9; b) 5u=130, 1u=26, 9u=234 beads." } ] }