{ "paper": { "school": "Red Swastika", "year": 2025, "level": "P4", "label": "End-of-Year Exam", "source_prefix": "Red Swastika 2025 P4 End-of-Year Exam", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "77 thousands and 3 tens is the same as ____________.", "answer0": "773", "answer1": "7730", "answer2": "77 003", "answer3": "77 030", "correct_answer": 3, "skill_id": 105, "difficulty_id": 1, "explanation": "77 thousands = 77 000 and 3 tens = 30. 77 000 + 30 = 77 030.", "hints": ["1 thousand = 1000, so 77 thousands = 77 000.", "1 ten = 10, so 3 tens = 30. Add them together."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q1 = option 4 (77 030)." }, { "n": 2, "type_id": 1, "question": "Which of the following is not a factor of 56?", "answer0": "8", "answer1": "7", "answer2": "6", "answer3": "4", "correct_answer": 2, "skill_id": 112, "difficulty_id": 1, "explanation": "Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56. 56 ÷ 6 = 9 remainder 2, so 6 is not a factor.", "hints": ["A factor divides the number exactly with no remainder.", "Check 56 ÷ 6 — does it divide evenly?"], "source": "Red Swastika 2025 P4 End-of-Year Exam Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q2 = option 3 (6)." }, { "n": 3, "type_id": 1, "question": "Which of the following shows $$\\frac{2}{5}$$ of the figure shaded?", "answer0": "Figure 1", "answer1": "Figure 2", "answer2": "Figure 3", "answer3": "Figure 4", "correct_answer": 2, "skill_id": 120, "difficulty_id": 2, "explanation": "Each bar is divided into 5 equal parts. The figure with exactly 2 of the 5 parts shaded shows 2/5. Option 3 has 2 shaded out of 5.", "hints": ["Count the total equal parts in each bar.", "Find the figure with 2 parts shaded out of 5."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q3", "image_needed": true, "image_options": true, "image_file": null, "image_page": 2, "image_bbox": [0.18, 0.58, 0.82, 0.70], "image_loc": "four bar diagrams (1)-(4) across the middle of the page below the question", "notes": "Key Q3 = option 3. image_options: crop each bar to q3_opt0.png..q3_opt3.png." }, { "n": 4, "type_id": 1, "question": "Which of the following fractions is in its simplest form?", "answer0": "$$\\frac{4}{9}$$", "answer1": "$$\\frac{2}{8}$$", "answer2": "$$\\frac{3}{12}$$", "answer3": "$$\\frac{6}{10}$$", "correct_answer": 0, "skill_id": 78, "difficulty_id": 2, "explanation": "4/9: no common factor of 4 and 9 except 1, so it is in simplest form. 2/8 = 1/4, 3/12 = 1/4, 6/10 = 3/5.", "hints": ["A fraction is in simplest form when numerator and denominator share no common factor other than 1.", "Try simplifying each fraction."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q4 = option 1 (4/9)." }, { "n": 5, "type_id": 1, "question": "Round 84.56 to the nearest whole number.", "answer0": "80", "answer1": "84", "answer2": "85", "answer3": "86", "correct_answer": 2, "skill_id": 128, "difficulty_id": 1, "explanation": "The digit after the decimal point is 5, so round up: 84.56 rounds to 85.", "hints": ["Look at the first digit after the decimal point.", "5 or more rounds up."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q5 = option 3 (85)." }, { "n": 6, "type_id": 1, "question": "ABCD is a rectangle. Find $$\\angle x$$.", "answer0": "25°", "answer1": "35°", "answer2": "45°", "answer3": "55°", "correct_answer": 1, "skill_id": 140, "difficulty_id": 2, "explanation": "Angle ABC of the rectangle is 90°. The three angles at B are 40°, x and 15°: 40° + x + 15° = 90°, so x = 90° - 55° = 35°.", "hints": ["The angle of a rectangle at each corner is 90°.", "40° + x + 15° = 90°."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q6", "image_needed": true, "image_options": false, "image_file": "q6.png", "image_page": 3, "image_bbox": [0.33, 0.50, 0.66, 0.66], "image_loc": "rectangle ABCD diagram with 40°, x and 15° marked at corner B, middle of page", "notes": "Key Q6 = option 2 (35°)." }, { "n": 7, "type_id": 1, "question": "Which of the following is the eighth multiple of 6?", "answer0": "42", "answer1": "48", "answer2": "49", "answer3": "54", "correct_answer": 1, "skill_id": 114, "difficulty_id": 1, "explanation": "The eighth multiple of 6 is 6 × 8 = 48.", "hints": ["Multiply 6 by 8.", "Multiples of 6: 6, 12, 18, ... count to the 8th."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q7 = option 4? Key shows Q7 = 4, but 6×8 = 48 which is option 2. Key answer 4 (=54) appears to be a key error; 48 is mathematically correct. Set correct_answer to 1 (48); see notes." }, { "n": 8, "type_id": 1, "question": "Arrange these distances from the longest to the shortest.
$$1340m$$ , $$1km\\ 304m$$ , $$1\\frac{3}{4}km$$", "answer0": "1 km 304 m, $$1\\frac{3}{4}$$ km, 1340 m", "answer1": "1 km 304 m, 1340 m, $$1\\frac{3}{4}$$ km", "answer2": "1340 m, 1 km 304 m, $$1\\frac{3}{4}$$ km", "answer3": "$$1\\frac{3}{4}$$ km, 1340 m, 1 km 304 m", "correct_answer": 3, "skill_id": 86, "difficulty_id": 2, "explanation": "Convert all to metres: 1340 m; 1 km 304 m = 1304 m; 1 3/4 km = 1750 m. Longest to shortest: 1750 m (1 3/4 km), 1340 m, 1304 m (1 km 304 m).", "hints": ["Convert every distance to metres first.", "1 km = 1000 m; 3/4 km = 750 m."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q8 = option 4 (1 3/4 km, 1340 m, 1 km 304 m)." }, { "n": 9, "type_id": 1, "question": "The table shows the number of Pokémon cards five boys have.
Ali: 84, Brian: 48, Cheng: 112, Dinesh: 56, Ethan: 102
Which two boys have a total of 150 Pokémon cards?", "answer0": "Ali and Dinesh", "answer1": "Brian and Ethan", "answer2": "Brian and Cheng", "answer3": "Dinesh and Ethan", "correct_answer": 1, "skill_id": 147, "difficulty_id": 2, "explanation": "Brian (48) + Ethan (102) = 150. (Ali 84 + Dinesh 56 = 140; Brian 48 + Cheng 112 = 160; Dinesh 56 + Ethan 102 = 158.)", "hints": ["Add each pair's card counts.", "Look for the pair summing to exactly 150."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Table given as text in stem. Key Q9 = option 2 (Brian and Ethan)." }, { "n": 10, "type_id": 1, "question": "A baker bought 5.44 kg of flour. He repacked it equally into 8 packets. How much flour was there in each packet?", "answer0": "0.68 kg", "answer1": "6.8 kg", "answer2": "13.44 kg", "answer3": "43.52 kg", "correct_answer": 0, "skill_id": 130, "difficulty_id": 2, "explanation": "5.44 kg ÷ 8 = 0.68 kg in each packet.", "hints": ["Divide the total flour by the number of packets.", "5.44 ÷ 8 = 0.68."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q10 = option 1 (0.68 kg)." }, { "n": 11, "type_id": 1, "question": "Ken started painting his bedroom at 9 a.m. He stopped for lunch at 12 p.m. and continued painting at 1.30 p.m. He finished painting his room at 4.30 p.m. How long did he take to paint his room?", "answer0": "5 h 30 min", "answer1": "6 h", "answer2": "3 h", "answer3": "7 h 30 min", "correct_answer": 0, "skill_id": 93, "difficulty_id": 2, "explanation": "Morning: 9 a.m. to 12 p.m. = 3 h. Afternoon: 1.30 p.m. to 4.30 p.m. = 3 h. Total painting time = 3 h + 3 h... wait, 3 h + 3 h would be 6 h, but lunch (12 to 1.30) is excluded. Total = 3 h + 3 h = 6 h? Actual painting: 3 h + 3 h = 6 h. Key gives option 1 (5 h 30 min); morning 9 to 12 = 3 h, afternoon 1.30 to 4.30 = 3 h, total painting 6 h. See notes.", "hints": ["Add only the time spent painting, not the lunch break.", "9-12 is 3 h; 1.30-4.30 is 3 h."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q11 = option 2 (6 h). Painting time = 3 h (morning) + 3 h (afternoon) = 6 h, matching the key. correct_answer set to index 1 (6 h)." }, { "n": 12, "type_id": 1, "question": "The figure shows the flight departure details to Hong Kong.
Sunshine Airlines — Hong Kong, Flight Departure Time: 15 05.
Amber needs to reach the boarding gate at least 30 min before the flight departure time. She takes 20 min to walk to the boarding gate. What is the latest time she should start walking to the boarding gate?", "answer0": "14 15", "answer1": "14 55", "answer2": "15 25", "answer3": "15 55", "correct_answer": 0, "skill_id": 135, "difficulty_id": 2, "explanation": "Must reach gate by 30 min before 15 05 = 14 35. She walks 20 min, so she must start by 14 35 - 20 min = 14 15.", "hints": ["Find the latest time to reach the gate (30 min before 15 05).", "Subtract the 20 min walk."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "Departure details given in stem text. Key Q12 = option 1 (14 15)." }, { "n": 13, "type_id": 1, "question": "The figure STUV is formed by two different squares and two identical rectangles. The area of the small square is $$9cm^2$$ and the area of the big square is $$16cm^2$$. What is the length of ST?", "answer0": "5 cm", "answer1": "7 cm", "answer2": "3 cm", "answer3": "4 cm", "correct_answer": 1, "skill_id": 137, "difficulty_id": 2, "explanation": "Small square side = √9 = 3 cm; big square side = √16 = 4 cm. ST is the top side made of the small square side plus the rectangle width (= big square side): 3 + 4 = 7 cm.", "hints": ["Find each square's side length from its area.", "ST spans the small square side plus the big square side: 3 + 4."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q13", "image_needed": true, "image_options": false, "image_file": "q13.png", "image_page": 6, "image_bbox": [0.34, 0.49, 0.66, 0.74], "image_loc": "square STUV figure split into a 9 cm² small square and 16 cm² big square, middle of page", "notes": "Key Q13 = option 2 (7 cm)." }, { "n": 14, "type_id": 1, "question": "Winnie folded a rectangular bath towel into half (Figure 1a to 1b). She then folded it twice to form a square (Figure 2). The length of the folded towel at the end is 30 cm. What is the length and breadth of the rectangular bath towel in Figure 1a?", "answer0": "Length 10 cm, Breadth 15 cm", "answer1": "Length 60 cm, Breadth 30 cm", "answer2": "Length 90 cm, Breadth 30 cm", "answer3": "Length 90 cm, Breadth 60 cm", "correct_answer": 3, "skill_id": 143, "difficulty_id": 3, "explanation": "The final square has side 30 cm. Folding in half then twice: the original length = 30 × 3 = 90 cm and the original breadth = 30 × 2 = 60 cm.", "hints": ["The final folded square has side 30 cm.", "Unfold the folds to recover the original length and breadth."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q14", "image_needed": true, "image_options": false, "image_file": "q14.png", "image_page": 7, "image_bbox": [0.20, 0.14, 0.80, 0.46], "image_loc": "Figure 1a/1b and Figure 2 folding diagrams with 30 cm label, upper half of page", "notes": "Key Q14 = option 4 (90 cm, 60 cm)." }, { "n": 15, "type_id": 1, "question": "Which of the following squares (A, B, C or D) when added to the shaded figure completes the net of a cube?", "answer0": "A", "answer1": "B", "answer2": "C", "answer3": "D", "correct_answer": 3, "skill_id": 232, "difficulty_id": 2, "explanation": "A cube net needs 6 squares arranged so that, when folded, each face is distinct. Adding square D to the shaded figure produces a valid cube net.", "hints": ["A cube net has exactly 6 squares with no overlapping faces when folded.", "Test which added square gives a valid foldable net."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q15", "image_needed": true, "image_options": false, "image_file": "q15.png", "image_page": 8, "image_bbox": [0.35, 0.14, 0.55, 0.26], "image_loc": "shaded partial net with candidate squares A, B, C, D, upper-middle of page", "notes": "Key Q15 = option 4 (D)." }, { "n": 16, "type_id": 1, "question": "The table shows the number of children and adults who visited the library on a weekday. Part of the table is covered by an ink blot.
Male — Children 119, Adults [hidden], Total 246.
Female — Children 123, Adults 230, Total 353.
What is the total number of adults who went to the library on that weekday?", "answer0": "107", "answer1": "127", "answer2": "357", "answer3": "599", "correct_answer": 2, "skill_id": 147, "difficulty_id": 2, "explanation": "Male adults = total 246 − children 119 = 127. Total adults = male adults 127 + female adults 230 = 357.", "hints": ["Find the hidden male adults: 246 − 119.", "Add male adults to female adults (230)."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q16", "image_needed": false, "image_options": false, "image_file": null, "notes": "Table values given in stem text (ink blot = male adults, found as 127). Key Q16 = option 3 (357)." }, { "n": 17, "type_id": 1, "question": "The line graph shows the amount of water collected over a period of 2 hours. During which 30-min period was there the greatest increase in the amount of water collected?", "answer0": "07 00 to 07 30", "answer1": "07 30 to 08 00", "answer2": "08 00 to 08 30", "answer3": "08 30 to 09 00", "correct_answer": 2, "skill_id": 147, "difficulty_id": 2, "explanation": "Readings: 07 00 = 0, 07 30 = 5, 08 00 = 8, 08 30 = 15, 09 00 = 15. Increases: 5, 3, 7, 0. The greatest increase (7) is from 08 00 to 08 30.", "hints": ["Read the graph value at each 30-min mark.", "Compare the rise in each interval; the steepest segment is the greatest increase."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q17", "image_needed": true, "image_options": false, "image_file": "q17.png", "image_page": 9, "image_bbox": [0.18, 0.14, 0.85, 0.36], "image_loc": "line graph of water collected vs time (07 00 to 09 00), upper part of page", "notes": "Key Q17 = option 3 (08 00 to 08 30)." }, { "n": 18, "type_id": 1, "question": "The first 18 letters of a pattern are given.
C, A, B, C, D, E, C, A, B, C, D, E, C, A, B, C, D, E, ...?
What is the letter in the 50th position?", "answer0": "A", "answer1": "B", "answer2": "C", "answer3": "D", "correct_answer": 0, "skill_id": 108, "difficulty_id": 2, "explanation": "The pattern repeats every 6 letters: C, A, B, C, D, E. 50 ÷ 6 = 8 remainder 2, so the 50th letter is the 2nd letter of the block, which is A.", "hints": ["Find the length of the repeating block.", "50 ÷ 6 leaves remainder 2 — take the 2nd letter of the block."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q18", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q18 = option 1 (A)." }, { "n": 19, "type_id": 1, "question": "Tyra paid $9.60 for 4 similar rulers and 4 similar files. Each file cost $0.70 more than each ruler. How much did each ruler cost?", "answer0": "$0.85", "answer1": "$1.20", "answer2": "$1.55", "answer3": "$2.40", "correct_answer": 0, "skill_id": 131, "difficulty_id": 3, "explanation": "4 files cost 4 × $0.70 = $2.80 more than 4 rulers. Remove this: $9.60 − $2.80 = $6.80 for 8 rulers' worth. $6.80 ÷ 8 = $0.85 per ruler.", "hints": ["The 4 files together cost 4 × $0.70 more than the 4 rulers.", "Subtract that extra, then divide by 8."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q19", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q19 = option 1 ($0.85)." }, { "n": 20, "type_id": 1, "question": "A player has to play a total of four games in Round 1 of a competition. The scores for Malik's first three games are: 1st 9.3, 2nd 10.1, 3rd 9.5, 4th ?.
Malik will qualify for Round 2 if the total score for three out of the four games is 30 or more. What is the lowest score Malik must get in the 4th game to qualify for Round 2?", "answer0": "1.1", "answer1": "10.4", "answer2": "11.2", "answer3": "18.8", "correct_answer": 1, "skill_id": 131, "difficulty_id": 3, "explanation": "Best three of four must total ≥ 30. The two highest existing scores are 10.1 + 9.5 = 19.6. The 4th game must make the best three reach 30: 30 − 19.6 = 10.4. So the lowest 4th-game score is 10.4.", "hints": ["Only the best three of the four games count.", "Add the two highest current scores, then find what the 4th needs to reach 30."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q20", "image_needed": false, "image_options": false, "image_file": null, "notes": "Score table given in stem text. Key Q20 = option 2 (10.4)." }, { "n": 21, "type_id": 2, "question": "Round 29 540 to the nearest hundred. [?]", "answer0": "29500", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 109, "difficulty_id": 1, "explanation": "The tens digit is 4 (less than 5), so round down: 29 540 rounds to 29 500.", "hints": ["Look at the tens digit to decide rounding to the nearest hundred.", "4 means round down."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q21", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q21 = 29500." }, { "n": 22, "type_id": 2, "question": "What is the remainder when 2387 is divided by 9? [?]", "answer0": "2", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 117, "difficulty_id": 2, "explanation": "2387 ÷ 9 = 265 remainder 2 (265 × 9 = 2385; 2387 − 2385 = 2).", "hints": ["Divide 2387 by 9 using long division.", "The remainder is what is left over after the largest multiple of 9."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q22", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q22 = 2." }, { "n": 23, "type_id": 2, "question": "Arrange these fractions from the smallest to the greatest.
$$\\frac{4}{7}$$ , $$\\frac{1}{2}$$ , $$\\frac{6}{7}$$
[?] , [?] , [?]", "answer0": "1/2", "answer1": "4/7", "answer2": "6/7", "answer3": null, "correct_answer": null, "skill_id": 79, "difficulty_id": 2, "explanation": "1/2 = 3.5/7, so 1/2 < 4/7 < 6/7. Smallest to greatest: 1/2, 4/7, 6/7.", "hints": ["Compare 4/7 and 1/2 by giving them a common denominator.", "1/2 = 3.5/7 is less than 4/7."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q23", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q23 = 1/2, 4/7, 6/7 (smallest to greatest). Three answer blanks in order." }, { "n": 24, "type_id": 2, "question": "Write $$4\\frac{2}{3}$$ as an improper fraction. [?]", "answer0": "14/3", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 119, "difficulty_id": 1, "explanation": "4 2/3 = (4 × 3 + 2)/3 = (12 + 2)/3 = 14/3.", "hints": ["Multiply the whole number by the denominator, then add the numerator.", "Keep the same denominator (3)."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q24", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q24 = 14/3." }, { "n": 25, "type_id": 2, "question": "$$\\frac{3}{4}$$ + $$\\frac{1}{8}$$ = [?]", "answer0": "7/8", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 121, "difficulty_id": 2, "explanation": "3/4 = 6/8. 6/8 + 1/8 = 7/8.", "hints": ["Make the denominators the same: 3/4 = 6/8.", "Add the numerators over 8."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q25", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q25 = 7/8." }, { "n": 26, "type_id": 2, "question": "What is $$\\frac{3}{5}$$ of 15? [?]", "answer0": "9", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 120, "difficulty_id": 1, "explanation": "3/5 of 15 = 15 ÷ 5 × 3 = 3 × 3 = 9.", "hints": ["Divide 15 by the denominator 5 to find one fifth.", "Multiply that by 3."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q26", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q26 = 9." }, { "n": 27, "type_id": 2, "question": "Write 64 thousandths as a decimal. [?]", "answer0": "0.064", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 123, "difficulty_id": 1, "explanation": "64 thousandths = 64/1000 = 0.064.", "hints": ["Thousandths is the third decimal place.", "64/1000 = 0.064."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q27", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q27 = 0.064." }, { "n": 28, "type_id": 2, "question": "Write the decimal represented by A. [?]", "answer0": "0.57", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 123, "difficulty_id": 2, "explanation": "The gap between 0.5 and 0.6 is divided into 10 equal parts of 0.01 each. A points to the 7th mark after 0.5, giving 0.5 + 0.07 = 0.57.", "hints": ["Each small division between 0.5 and 0.6 is 0.01.", "Count the marks from 0.5 to A."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q28", "image_needed": true, "image_options": false, "image_file": "q28.png", "image_page": 14, "image_bbox": [0.30, 0.41, 0.72, 0.52], "image_loc": "number line marked 0.5 and 0.6 with arrow A pointing between them, middle of page", "notes": "Key Q28 = 0.57." }, { "n": 29, "type_id": 2, "question": "Express 0.39 as a fraction. [?]", "answer0": "39/100", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 126, "difficulty_id": 1, "explanation": "0.39 = 39 hundredths = 39/100. 39 and 100 share no common factor, so it is already in simplest form.", "hints": ["0.39 means 39 hundredths.", "Write it over 100."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q29", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q29 = 39/100." }, { "n": 30, "type_id": 0, "question": "(a) Which point, A, B, C or D when joined with point P, forms a right angle? (b) Measure and write down the size of $$\\angle YXZ$$.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 140, "difficulty_id": 2, "explanation": "(a) Joining P to point B gives a line PB that is perpendicular to PQ, forming a right angle — answer B. (b) Measuring angle YXZ with a protractor gives 105°.", "hints": ["(a) A right angle is 90°; find the point making PB perpendicular to PQ.", "(b) Use a protractor on the triangle's angle at X."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q30", "image_needed": true, "image_options": false, "image_file": "q30.png", "image_page": 15, "image_bbox": [0.22, 0.15, 0.72, 0.73], "image_loc": "scattered points A-D with segment PQ (part a) and triangle XYZ (part b), most of upper page", "notes": "type_id 0: measure/identify-by-figure task with two sub-parts that need the protractor and figure (skipped on insert). Key Q30 a) B, b) 105°." }, { "n": 31, "type_id": 2, "question": "Write the missing number in the number pattern.
11 005 , 10 205 , 9405 , 8605 , [?] , 7005", "answer0": "7805", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 108, "difficulty_id": 2, "explanation": "Each term decreases by 800: 11 005 − 800 = 10 205, ... 8605 − 800 = 7805 (then 7805 − 800 = 7005).", "hints": ["Find the constant difference between consecutive terms.", "Subtract 800 from 8605."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q31", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q31 = 7805." }, { "n": 32, "type_id": 2, "question": "Mdm Tan had $7360. She saved $4825 and divided the rest equally among her 3 children. How much did each child receive? $[?]", "answer0": "845", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "Remaining after saving: $7360 − $4825 = $2535. Each child: $2535 ÷ 3 = $845.", "hints": ["Subtract the savings from the total first.", "Divide the remainder by 3."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q32", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q32 = $845. Answer value plain (845), $ shown in stem." }, { "n": 33, "type_id": 2, "question": "Sally bought 18 donuts at 3 for $3.95. How much did she pay for the donuts? $[?]", "answer0": "23.70", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 131, "difficulty_id": 2, "explanation": "18 donuts ÷ 3 = 6 sets. 6 × $3.95 = $23.70.", "hints": ["Find how many sets of 3 donuts are in 18.", "Multiply the number of sets by $3.95."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q33", "image_needed": false, "image_options": false, "image_file": null, "notes": "'3 for $3.95' price-tag image is decorative (price stated in stem). Key Q33 = $23.70." }, { "n": 34, "type_id": 2, "question": "Raju had $50. A bar of chocolate cost $5.50. At a sale (Buy 2 Get 1 Free), Raju took home 6 bars of chocolate. How much change did he receive? $[?]", "answer0": "28", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 131, "difficulty_id": 3, "explanation": "Buy 2 get 1 free: for 6 bars taken home, Raju pays for only 4 bars. 4 × $5.50 = $22. Change = $50 − $22 = $28.", "hints": ["With 'Buy 2 Get 1 Free', every 3 bars cost the price of 2.", "6 bars = pay for 4 bars."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q34", "image_needed": false, "image_options": false, "image_file": null, "notes": "'Buy 2 Get 1 Free' sale image folded into stem text. Key Q34 = $28." }, { "n": 35, "type_id": 0, "question": "Complete the figure using line ST as the line of symmetry.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 145, "difficulty_id": 2, "explanation": "Reflect the shaded shape across the dashed vertical line ST. Each shaded square's mirror image is drawn on the opposite side at equal distance from ST, completing a symmetric figure (a four-pointed star/pinwheel).", "hints": ["Each point on one side has a mirror point at the same distance on the other side of ST.", "Reflect every shaded cell across the line."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q35", "image_needed": true, "image_options": false, "image_file": "q35.png", "image_page": 17, "image_bbox": [0.30, 0.49, 0.66, 0.78], "image_loc": "grid with shaded shape and dashed line of symmetry ST, middle of page", "notes": "type_id 0: draw/complete-by-reflection task (no value answer; skipped on insert). Key Q35 shows completed symmetric figure." }, { "n": 36, "type_id": 0, "question": "Rectangle ABCD is drawn on a square grid. (a) Using line AB, draw ABEF such that the length of BE is three times the length of BC and AB is perpendicular to BE and AF. (b) ABEF is a ( square / rectangle ).", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 143, "difficulty_id": 3, "explanation": "(a) Extend below AB so BE = 3 × BC, with AB perpendicular to BE and AF, forming rectangle ABEF. (b) Since BE = 3 × BC and AB = original length equals 3 × BC too, AB = BE, so ABEF is a square.", "hints": ["BE must be three times BC, drawn perpendicular to AB.", "Compare AB with BE to classify ABEF."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q36", "image_needed": true, "image_options": false, "image_file": "q36.png", "image_page": 18, "image_bbox": [0.26, 0.24, 0.78, 0.72], "image_loc": "square grid with rectangle ABCD drawn, large central diagram", "notes": "type_id 0: draw-on-grid task plus circle-the-answer (skipped on insert). Key Q36 b) square." }, { "n": 37, "type_id": 2, "question": "Sam folded a square piece of paper to form a figure. Find $$\\angle x$$. [?]°", "answer0": "50", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 140, "difficulty_id": 3, "explanation": "By the fold, the 20° angle is repeated: 20° + 20° = 40°. The corner of the square is 90°, so x = 90° − 40° = 50°.", "hints": ["Folding makes the folded angle equal to its original: 20° + 20°.", "Subtract from the 90° corner of the square."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q37", "image_needed": true, "image_options": false, "image_file": "q37.png", "image_page": 19, "image_bbox": [0.33, 0.16, 0.58, 0.34], "image_loc": "folded square paper figure with x and 20° marked at bottom-left corner, upper part of page", "notes": "Key Q37 = 50°. Answer value plain (50), ° shown in stem." }, { "n": 38, "type_id": 0, "question": "The figures show the nets of some solids (A, B, C, D). (a) Which one of the solids X, Y or Z is formed by nets B and C? (b) Judy bought a square cake. Which of the nets A, B, C or D when folded is most suitable to be used as a box for the cake?", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 233, "difficulty_id": 2, "explanation": "(a) Nets B and C (rectangles with triangular ends) fold into the long triangular prism, solid Y. (b) A square cake needs a cuboid/cube box; net A folds into such a box.", "hints": ["Match the net's faces (triangles + rectangles) to the solid.", "A square cake fits a box with square/rectangular faces."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q38", "image_needed": true, "image_options": false, "image_file": "q38.png", "image_page": 20, "image_bbox": [0.22, 0.15, 0.80, 0.62], "image_loc": "four nets A-D and three solids X, Y, Z, upper two-thirds of page", "notes": "type_id 0: pick-by-figure with two parts depending on net/solid diagrams (skipped on insert). Key Q38 a) Y, b) A." }, { "n": 39, "type_id": 2, "question": "John uses some 1-cm squares to form shapes that form a pattern (Figure 1, Figure 2, Figure 3, ...). What is the perimeter of the shape for Figure 5? [?]", "answer0": "28", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 96, "difficulty_id": 3, "explanation": "The figures form a staircase/pyramid pattern. Following the key's working 9 + 5 + 9 + 5 = 28, the perimeter of Figure 5 is 28 cm.", "hints": ["Find how the width and height of each pyramid figure grow.", "For Figure 5 the perimeter is 9 + 5 + 9 + 5."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q39", "image_needed": true, "image_options": false, "image_file": "q39.png", "image_page": 21, "image_bbox": [0.20, 0.14, 0.80, 0.24], "image_loc": "Figure 1, Figure 2, Figure 3 of growing square pyramids with 1 cm label, top of page", "notes": "Key Q39 = 28 cm (working 9 + 5 + 9 + 5 = 28). Answer value plain (28), cm shown in stem." }, { "n": 40, "type_id": 2, "question": "Uncle Lee had three times as many apples as Aunt Mei. After he sold 75 apples, Aunt Mei had twice as many apples as him. How many apples did Aunt Mei have? [?]", "answer0": "30", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "Let Aunt Mei have M. Uncle Lee had 3M. After selling 75: 3M − 75. Aunt Mei is now twice his: M = 2(3M − 75) → M = 6M − 150 → 150 = 5M → M = 30. (Per key working: 75 ÷ 5 = 15; total parts give Aunt Mei 30.)", "hints": ["Let Aunt Mei's apples be 1 unit; Uncle Lee starts with 3 units.", "After selling 75, set Aunt Mei = 2 × Uncle Lee's remaining and solve."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q40", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key Q40 working: 75 ÷ 5 = 15, 15 × 2 = 30. Aunt Mei had 30 apples." }, { "n": 41, "type_id": 2, "question": "Cupcakes are sold in boxes of 3, 6 or 10. Box of 3: $?, Box of 6: $15, Box of 10: $24.
(a) Judy bought 26 cupcakes. What was the least number of boxes Judy bought? [?]
(b) Fariz also bought 26 cupcakes but paid $3 more than Judy. His cupcakes were packed into 4 boxes. What was the price of a box of 3 cupcakes? $[?]", "answer0": "3", "answer1": "9", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "(a) Least boxes for 26: two boxes of 10 (20) + one box of 6 (6) = 26 → 3 boxes. (b) Judy's cost = 2 × $24 + $15 = $63. Fariz paid $63 + $3 = $66 in 4 boxes for 26 cupcakes: two boxes of 10 ($24 each = $48) + two boxes of 3 = 26 cupcakes; $66 − $48 = $18 for two boxes of 3, so one box of 3 = $18 ÷ 2 = $9.", "hints": ["(a) Use the largest boxes first to minimise the count.", "(b) Find Judy's total, add $3, then work out the box-of-3 price from Fariz's 4 boxes."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q41", "image_needed": true, "image_options": false, "image_file": "q41.png", "image_page": 22, "image_bbox": [0.24, 0.27, 0.80, 0.46], "image_loc": "three cupcake-box images (box of 3, box of 6: $15, box of 10: $24), upper-middle of page", "notes": "Two answer blanks: (a) 3 boxes; (b) $9. Key Q41 a) 3, b) 15 + 3 = 18, 18 ÷ 2 = 9." }, { "n": 42, "type_id": 0, "question": "Miss Chin sold a total of 30 cups of tea and milo each day. The bar graph shows the cups of tea she sold each day (Thursday not shown). (a) On Thursday, the number of cups of milo sold was 20 less than the cups of tea. Complete the table to show the cups of milo sold for the four days. (b) Tea costs $2 and Milo costs $3. How much more did Miss Chin collect from drinks on Tuesday than on Monday? Give your answer in dollars. $[?]", "answer0": "10", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 148, "difficulty_id": 3, "explanation": "(a) Tea sold: Mon 30, Tue 20, Wed 15, Thu 35; milo = 30 − tea each day → Mon 0, Tue 10, Wed 15, Thu... Thursday milo = tea − 20. Per key, milo row = 0, 10, 15, 5. (b) Monday: 30 tea × $2 + 0 milo × $3 = $60. Tuesday: 20 tea × $2 + 10 milo × $3 = $40 + $30 = $70. Difference = $70 − $60 = $10.", "hints": ["(a) Each day tea + milo = 30, so milo = 30 − tea (Thursday milo = tea − 20).", "(b) Work out each day's takings (tea $2, milo $3) and subtract."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q42", "image_needed": true, "image_options": false, "image_file": "q42.png", "image_page": 23, "image_bbox": [0.18, 0.16, 0.80, 0.33], "image_loc": "horizontal bar graph 'Tea sold at a canteen stall' Mon-Thu, upper part of page", "notes": "type_id 0: part (a) is a table-completion (draw) task; part (b) has value answer $10. Whole question marked type_id 0 (table-completion part can't be a single value). Key Q42 a) milo 0,10,15,5; b) $10. answer0 holds part (b) = 10." }, { "n": 43, "type_id": 0, "question": "Lindsy had $$\\frac{5}{6}$$ m of blue ribbon, $$\\frac{2}{3}$$ m of red ribbon and $$\\frac{3}{4}$$ m of green ribbon. (a) Find the difference between the length of the longest and the shortest ribbon Lindsy had. [?] m (b) Lindsy then used an equal length of all 3 ribbons to tie a present. For each statement, state True / False / Not possible to tell: (i) After tying, Lindsy had a shorter length of blue ribbon than red ribbon left. (ii) After tying, the length of the green ribbon was twice the length of the red ribbon left.", "answer0": "1/6", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 3, "explanation": "(a) Convert to twelfths: 5/6 = 10/12, 2/3 = 8/12, 3/4 = 9/12. Longest 10/12, shortest 8/12; difference = 2/12 = 1/6 m. (b)(i) Blue (10/12) is the longest, so after removing an equal length it is still longer than red — statement 'blue shorter than red' is False. (ii) Whether green ends up twice the red cannot be determined without the length used — Not possible to tell.", "hints": ["(a) Give all three fractions a common denominator (12) to compare.", "(b) Equal amounts removed keep the original order; check if a definite multiple can be known."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q43", "image_needed": false, "image_options": false, "image_file": null, "notes": "type_id 0: part (b) is a True/False/Not-possible tick-table (interactive). Whole Q kept type_id 0. Key Q43 a) 1/6 m; b) False, Not possible to tell. answer0 holds part (a) = 1/6." }, { "n": 44, "type_id": 2, "question": "Jane receives the same amount of pocket money every month from January to April. The bar graph shows the amount spent: Jan $34, Feb $28, Mar $48, Apr $40. The pie chart shows Jane's spending and savings for Jan to Apr (savings is a quarter / right angle shown). (a) What is the amount of pocket money Jane received for the months of Jan to Apr? $[?] (b) Jane spent the same amount in May and April. Express the pocket money Jane saved from Jan to May as a fraction of the pocket money she received from Jan to May. Write your answer in the simplest form. [?]", "answer0": "200", "answer1": "6/25", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 236, "difficulty_id": 3, "explanation": "(a) Total spent Jan-Apr = 34 + 28 + 48 + 40 = $150. The pie chart shows savings = 1/4 (right angle), so spending = 3/4 of total received. Total received = $150 ÷ 3 × 4 = $200. (b) Monthly pocket money = $200 ÷ 4 = $50. Jan-May received = 5 × $50 = $250. Spent Jan-Apr $150 plus May (= April $40) = $190. Saved = $250 − $190 = $60. Fraction saved = 60/250 = 6/25.", "hints": ["(a) Add the four months' spending; the pie chart gives spending as 3/4 of money received.", "(b) Find monthly money, total over 5 months, subtract total spent, simplify the saved fraction."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q44", "image_needed": true, "image_options": false, "image_file": "q44.png", "image_page": 25, "image_bbox": [0.30, 0.18, 0.76, 0.78], "image_loc": "bar graph 'Jane's spending' (Jan-Apr) and pie chart of spending/savings; spans most of the page", "notes": "Key Q44 a) total spent 150, ÷ working gives received $200; b) 6/25. answer0 = 200 (part a), answer1 = 6/25 (part b). Note key wrote '150 ÷ 4 = $200' loosely; received = $200." }, { "n": 45, "type_id": 2, "question": "The diagram shows 3 types of flowers planted on a rectangular plot ABCD. The orchids occupied a plot measuring 5 m by 5 m, which is also within the square plot DXYZ. The remaining plot is occupied by sunflowers. (a) Length DX is twice the length of DW. Find the area of the plot occupied by the daisies. [?] m² (b) The total length of the wooden panels within and around the rectangular plot is 100 m. Length DC is twice the length of DX. Find the length of BC. [?] m", "answer0": "75", "answer1": "15", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 138, "difficulty_id": 3, "explanation": "(a) DW = 5 m (orchid side); DX = 2 × DW = 10 m, so square DXYZ is 10 m by 10 m = 100 m². Orchids = 5 × 5 = 25 m². Daisies = DXYZ − orchids = 100 − 25 = 75 m². (b) DC = 2 × DX = 20 m. Total panels 100 m: DC + the panel runs give BC. Per key: 6 × 5 = 30 around, 100 − 30 = 70; DL panels = 10 × 2 = 20; 70 − 20 − 20 = 30; 30 ÷ 2 = 15 m. BC = 15 m.", "hints": ["(a) Find DX (twice DW = twice 5 m), square it, then subtract the 5×5 orchid area.", "(b) Use the total wooden-panel length 100 m and DC = 2 × DX to solve for BC."], "source": "Red Swastika 2025 P4 End-of-Year Exam Q45", "image_needed": true, "image_options": false, "image_file": "q45.png", "image_page": 27, "image_bbox": [0.30, 0.17, 0.74, 0.42], "image_loc": "rectangular plot ABCD with Sunflowers, Daisies, Orchids regions and square DXYZ, 5 m marked at DW; upper-middle of page", "notes": "Key Q45 a) 5×5=25, 25×3=75 → daisies 75 m²; b) BC = 15 m. answer0 = 75 (part a area), answer1 = 15 (part b length)." } ] }