{ "paper": { "school": "Ai Tong", "year": 2025, "level": "P3", "label": "End of Year Exam", "source_prefix": "Ai Tong 2025 P3 End of Year Exam", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "In which of the following numbers is the digit 8 in the ones place?", "answer0": "9840", "answer1": "8094", "answer2": "4908", "answer3": "4089", "correct_answer": 2, "skill_id": 66, "difficulty_id": 1, "explanation": "The ones place is the last digit. In 9840 the ones digit is 0, in 8094 it is 4, in 4908 it is 8, in 4089 it is 9. So 4908 has 8 in the ones place. Answer: 4908.", "hints": ["The ones place is the right-most digit.", "Look at the last digit of each number."], "source": "Ai Tong 2025 P3 End of Year Exam Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 2, "type_id": 1, "question": "What is the value of 5 thousands, 3 tens and 4 ones?", "answer0": "5034", "answer1": "5043", "answer2": "5304", "answer3": "5340", "correct_answer": 0, "skill_id": 66, "difficulty_id": 1, "explanation": "5 thousands = 5000, 3 tens = 30, 4 ones = 4. There are 0 hundreds. 5000 + 0 + 30 + 4 = 5034. Answer: 5034.", "hints": ["Write each part as a number: thousands, hundreds, tens, ones.", "There are no hundreds, so put 0 in the hundreds place."], "source": "Ai Tong 2025 P3 End of Year Exam Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 3, "type_id": 1, "question": "Which of the angles in the figure are acute angles?", "answer0": "∠a and ∠d", "answer1": "∠a and ∠b", "answer2": "∠b and ∠d", "answer3": "∠c and ∠e", "correct_answer": 1, "skill_id": 99, "difficulty_id": 2, "explanation": "An acute angle is smaller than a right angle (less than 90°). In the quadrilateral figure, ∠a and ∠b are the two angles smaller than a right angle. Answer: ∠a and ∠b.", "hints": ["An acute angle is smaller than a right angle (a square corner).", "Compare each marked angle to a right angle."], "source": "Ai Tong 2025 P3 End of Year Exam Q3", "image_needed": true, "image_options": false, "image_file": "q3.png", "image_page": 3, "image_bbox": [0.20, 0.52, 0.50, 0.72], "image_loc": "irregular quadrilateral with angles a, b, c, d, e marked, below the question", "notes": "Answer follows key (key=2 -> option index 1, ∠a and ∠b)." }, { "n": 4, "type_id": 1, "question": "Which of the following is the smallest fraction?", "answer0": "5/9", "answer1": "5/6", "answer2": "5/7", "answer3": "5/8", "correct_answer": 0, "skill_id": 79, "difficulty_id": 1, "explanation": "All fractions have the same numerator (5). With equal numerators, the fraction with the largest denominator is the smallest. 9 is the largest denominator, so 5/9 is the smallest. Answer: 5/9.", "hints": ["The numerators are all 5.", "With equal numerators, a bigger denominator means a smaller fraction."], "source": "Ai Tong 2025 P3 End of Year Exam Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 5, "type_id": 1, "question": "What is the total volume of water in the beakers?", "answer0": "250 ml", "answer1": "800 ml", "answer2": "1000 ml", "answer3": "1050 ml", "correct_answer": 3, "skill_id": 84, "difficulty_id": 2, "explanation": "Beaker A is marked to 1ℓ (1000 ml) and shows about 50 ml of water. Beaker B is almost full at about 1000 ml. Total = 50 ml + 1000 ml = 1050 ml. Answer: 1050 ml.", "hints": ["Read each beaker against the 1ℓ = 1000 ml mark.", "Add the two amounts together."], "source": "Ai Tong 2025 P3 End of Year Exam Q5", "image_needed": true, "image_options": false, "image_file": "q5.png", "image_page": 4, "image_bbox": [0.27, 0.37, 0.60, 0.52], "image_loc": "two beakers labelled Beaker A and Beaker B, each marked 1ℓ, below the question", "notes": "Read water levels from figure." }, { "n": 6, "type_id": 1, "question": "How many minutes are there in 2 h 25 min?", "answer0": "27 min", "answer1": "85 min", "answer2": "145 min", "answer3": "225 min", "correct_answer": 2, "skill_id": 91, "difficulty_id": 1, "explanation": "1 hour = 60 min, so 2 hours = 120 min. 120 min + 25 min = 145 min. Answer: 145 min.", "hints": ["Convert the hours to minutes first (1 h = 60 min).", "Add the extra 25 minutes."], "source": "Ai Tong 2025 P3 End of Year Exam Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 7, "type_id": 1, "question": "The length of the rectangle is 6 cm and the breadth is 4 cm. What is the perimeter of the rectangle?", "answer0": "24 cm", "answer1": "20 cm", "answer2": "12 cm", "answer3": "10 cm", "correct_answer": 1, "skill_id": 96, "difficulty_id": 1, "explanation": "Perimeter of a rectangle = 2 × (length + breadth) = 2 × (6 + 4) = 2 × 10 = 20 cm. Answer: 20 cm.", "hints": ["Perimeter is the total distance around the rectangle.", "Add length and breadth, then double it."], "source": "Ai Tong 2025 P3 End of Year Exam Q7", "image_needed": true, "image_options": false, "image_file": "q7.png", "image_page": 5, "image_bbox": [0.27, 0.13, 0.57, 0.27], "image_loc": "rectangle labelled 6 cm (top) and 4 cm (left side), below the question", "notes": "Dimensions given in stem; figure shows the labelled rectangle." }, { "n": 8, "type_id": 1, "question": "Which of the following is not a possible remainder when a number is divided by 8?", "answer0": "9", "answer1": "7", "answer2": "3", "answer3": "5", "correct_answer": 0, "skill_id": 74, "difficulty_id": 2, "explanation": "When dividing by 8, the remainder must be smaller than 8, so possible remainders are 0 to 7. 9 is larger than 8, so it cannot be a remainder. Answer: 9.", "hints": ["A remainder must always be smaller than the divisor.", "Which option is 8 or more?"], "source": "Ai Tong 2025 P3 End of Year Exam Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 9, "type_id": 1, "question": "Each bag of 3 oranges is sold for $2. How much must Mrs Tan pay to buy 24 oranges?", "answer0": "$6", "answer1": "$8", "answer2": "$16", "answer3": "$48", "correct_answer": 2, "skill_id": 76, "difficulty_id": 2, "explanation": "24 oranges ÷ 3 oranges per bag = 8 bags. 8 bags × $2 = $16. Answer: $16.", "hints": ["First find how many bags of 3 make 24 oranges.", "Then multiply the number of bags by $2."], "source": "Ai Tong 2025 P3 End of Year Exam Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Figure of a bag with a $2 tag is decorative; all needed values are in the stem." }, { "n": 10, "type_id": 1, "question": "What is the value of 5/9 − 1/3 ?", "answer0": "2/3", "answer1": "6/9", "answer2": "4/9", "answer3": "2/9", "correct_answer": 3, "skill_id": 81, "difficulty_id": 2, "explanation": "Make the denominators the same: 1/3 = 3/9. Then 5/9 − 3/9 = 2/9. Answer: 2/9.", "hints": ["Change 1/3 into ninths.", "Subtract the numerators when denominators match."], "source": "Ai Tong 2025 P3 End of Year Exam Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 11, "type_id": 2, "question": "Write three thousand and fifteen in numerals. [?]", "answer0": "3015", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 67, "difficulty_id": 1, "explanation": "Three thousand = 3000, and fifteen = 15. Together: 3000 + 15 = 3015. Answer: 3015.", "hints": ["Write the thousands first, then the tens and ones.", "There are no hundreds, so use 0 in the hundreds place."], "source": "Ai Tong 2025 P3 End of Year Exam Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 12, "type_id": 2, "question": "Find the value of 102 ÷ 6. [?]", "answer0": "17", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 75, "difficulty_id": 1, "explanation": "102 ÷ 6: 6 goes into 10 once (remainder 4), bring down 2 to make 42; 6 goes into 42 seven times. So 102 ÷ 6 = 17. Answer: 17.", "hints": ["Use long division: divide 10 by 6 first.", "Check: 17 × 6 = 102."], "source": "Ai Tong 2025 P3 End of Year Exam Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 13, "type_id": 2, "question": "Find the value of 1078 − 156. [?]", "answer0": "922", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 70, "difficulty_id": 1, "explanation": "1078 − 156: subtract the ones (8 − 6 = 2), then 7 − 5 = 2 tens, then 0 hundreds needs to borrow: 10 − 1 = 9 hundreds. Result = 922. Answer: 922.", "hints": ["Line up the digits by place value.", "Borrow from the thousands when subtracting the hundreds."], "source": "Ai Tong 2025 P3 End of Year Exam Q13", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 14, "type_id": 2, "question": "Arrange the following fractions from the greatest to the smallest. 1/2 , 2/3 , 3/7 [?] , [?] , [?]", "answer0": "2/3", "answer1": "1/2", "answer2": "3/7", "answer3": null, "correct_answer": null, "skill_id": 79, "difficulty_id": 2, "explanation": "Compare using a common denominator 42: 1/2 = 21/42, 2/3 = 28/42, 3/7 = 18/42. From greatest to smallest: 28/42, 21/42, 18/42, i.e. 2/3, 1/2, 3/7. Answer: 2/3, 1/2, 3/7.", "hints": ["Convert all three to a common denominator (try 42).", "Order the numerators from largest to smallest."], "source": "Ai Tong 2025 P3 End of Year Exam Q14", "image_needed": false, "image_options": false, "image_file": null, "notes": "Three blanks in order greatest -> smallest." }, { "n": 15, "type_id": 2, "question": "Identify and name [?] a pair of perpendicular lines. [?] a pair of parallel lines.", "answer0": "AG and GE", "answer1": "AB and CD", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 100, "difficulty_id": 2, "explanation": "Reading the figure on the grid: AG and GE meet at G to form a right angle, so AG is perpendicular to GE (AG ⊥ GE). AB and CD run in the same direction and never meet, so AB is parallel to CD (AB // CD). Answer: (a) AG ⊥ GE; (b) AB // CD.", "hints": ["Perpendicular lines meet at a right angle (square corner).", "Parallel lines stay the same distance apart and never meet."], "source": "Ai Tong 2025 P3 End of Year Exam Q15", "image_needed": true, "image_options": false, "image_file": "q15.png", "image_page": 8, "image_bbox": [0.20, 0.38, 0.78, 0.66], "image_loc": "square grid with line segments joining points A, B, C, D, E, F, G", "notes": "Two-blank FIB: answer0 = perpendicular pair, answer1 = parallel pair. Per key: AG ⊥ GE, AB // CD." }, { "n": 16, "type_id": 2, "question": "The bar graph shows the number of students who chose their favourite colour. 48 more girls than boys chose red. How many more boys than girls chose yellow as their favourite colour? [?]", "answer0": "12", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 104, "difficulty_id": 3, "explanation": "The difference between the girls' and boys' bars for red is 48, and that gap is 4 grid units on the graph, so each unit = 48 ÷ 4 = 12 students. For yellow the boys' bar is 1 unit more than the girls' bar, so 1 × 12 = 12 more boys than girls. Answer: 12.", "hints": ["Use the red bars to find the value of one grid unit (48 ÷ number of units).", "Then read the yellow bar difference and multiply by the unit value."], "source": "Ai Tong 2025 P3 End of Year Exam Q16", "image_needed": true, "image_options": false, "image_file": "q16.png", "image_page": 9, "image_bbox": [0.20, 0.15, 0.82, 0.40], "image_loc": "bar graph titled Favourite Colour with Boys/Girls bars for Red, Yellow, Green", "notes": "Key: 48 ÷ 4 = 12." }, { "n": 17, "type_id": 2, "question": "Mrs Lim sold 1234 pears in the morning. She sold 342 fewer pears in the afternoon. How many pears did she sell altogether? [?]", "answer0": "2126", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 71, "difficulty_id": 2, "explanation": "Afternoon pears = 1234 − 342 = 892. Altogether = 1234 + 892 = 2126. Answer: 2126.", "hints": ["First find the afternoon amount by subtracting 342.", "Then add the morning and afternoon amounts."], "source": "Ai Tong 2025 P3 End of Year Exam Q17", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 18, "type_id": 2, "question": "The figure is made up of 1-m squares. Find the area of the figure. [?]", "answer0": "10", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 95, "difficulty_id": 2, "explanation": "Count the shaded 1-m squares: full squares plus half squares combine to a total area of 10 m². Answer: 10 m².", "hints": ["Each small square has an area of 1 m².", "Count full squares and combine the half squares."], "source": "Ai Tong 2025 P3 End of Year Exam Q18", "image_needed": true, "image_options": false, "image_file": "q18.png", "image_page": 10, "image_bbox": [0.32, 0.14, 0.72, 0.36], "image_loc": "shaded figure on a grid of 1-m squares, near top of page", "notes": "Answer unit is m² (key: 10 m²). Count-to-verify against shaded figure." }, { "n": 19, "type_id": 2, "question": "A show started at 17 25. It lasted for 1 h 45 min. At what time did the show end? Write your answer in 24-h clock. [?]", "answer0": "19 10", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 135, "difficulty_id": 2, "explanation": "Start 17 25, add 1 h = 18 25, then add 45 min: 18 25 + 35 min = 19 00, + 10 min = 19 10. Answer: 19 10.", "hints": ["Add the 1 hour first, then add the 45 minutes.", "Remember 60 minutes makes the next hour."], "source": "Ai Tong 2025 P3 End of Year Exam Q19", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 20, "type_id": 2, "question": "Balloons are tied on a string along a corridor. The distance between the first balloon and the last balloon is 95 m. The distance between every two balloons is 5 m. How many balloons are there? [?]", "answer0": "20", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "Number of gaps = 95 ÷ 5 = 19. The number of balloons is one more than the number of gaps: 19 + 1 = 20. Answer: 20.", "hints": ["First find the number of 5 m gaps along the 95 m.", "There is always one more balloon than the number of gaps."], "source": "Ai Tong 2025 P3 End of Year Exam Q20", "image_needed": true, "image_options": false, "image_file": "q20.png", "image_page": 11, "image_bbox": [0.13, 0.15, 0.85, 0.29], "image_loc": "string with 1st and 2nd balloons, 5 m gap marked, and a final ? balloon over 95 m", "notes": "Key: 19 + 1 = 20." }, { "n": 21, "type_id": 2, "question": "Kumar bought a toy car and a teddy bear. He gave the cashier $50 and received a change of 85¢. The toy car cost $20.40. How much did the teddy bear cost? [?]", "answer0": "28.75", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 83, "difficulty_id": 3, "explanation": "Total spent = $50 − $0.85 = $49.15. Teddy bear = total − toy car = $49.15 − $20.40 = $28.75. Answer: $28.75.", "hints": ["Change of 85¢ is $0.85; subtract it from $50 to get the total spent.", "Subtract the toy car cost from the total spent."], "source": "Ai Tong 2025 P3 End of Year Exam Q21", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer in dollars ($28.75). Toy-car/teddy figures are decorative; values in stem." }, { "n": 22, "type_id": 2, "question": "Study the map. [?] What is the distance from the library to the school in km and m? [?] Anna walked from the school to the library. Then she walked to her house from the library. What was the total distance Anna walked?", "answer0": "1 km 68 m", "answer1": "1706 m", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 87, "difficulty_id": 3, "explanation": "(a) Library to school = 1068 m = 1000 m + 68 m = 1 km 68 m. (b) School to library = 1068 m, library to house = 638 m; total = 1068 + 638 = 1706 m. Answer: (a) 1 km 68 m; (b) 1706 m.", "hints": ["1000 m = 1 km, so split 1068 m into km and m.", "For (b) add the library-to-school distance and the library-to-house distance."], "source": "Ai Tong 2025 P3 End of Year Exam Q22", "image_needed": true, "image_options": false, "image_file": "q22.png", "image_page": 12, "image_bbox": [0.22, 0.21, 0.72, 0.46], "image_loc": "map with Library, Anna's House and School; distances 638 m, 1068 m, 983 m marked", "notes": "Two parts: (a) 1 km 68 m, (b) 1706 m." }, { "n": 23, "type_id": 2, "question": "Ali has twice as many marbles as Betty. Carl has 3 times as many marbles as Ali. The total number of marbles the three children have is 774. How many marbles does Ali have? [?]", "answer0": "172", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "Let Betty = 1 unit. Ali = 2 units. Carl = 3 × Ali = 6 units. Total = 1 + 2 + 6 = 9 units = 774, so 1 unit = 774 ÷ 9 = 86. Ali = 2 units = 86 × 2 = 172. Answer: 172.", "hints": ["Let Betty be 1 unit and express Ali and Carl in units.", "Total units = 9; divide 774 by 9 to find one unit."], "source": "Ai Tong 2025 P3 End of Year Exam Q23", "image_needed": false, "image_options": false, "image_file": null, "notes": "" }, { "n": 24, "type_id": 2, "question": "Kate used 3 identical rectangles to form a pattern as shown in Figure 1. The length of each rectangle is 6 cm. She drew the pattern 8 times to fill up a piece of paper completely. Parts of the pattern are shown in Figure 2. What is the area of the paper? [?]", "answer0": "432", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 97, "difficulty_id": 3, "explanation": "One pattern is a 6 cm by 6 cm square (length 6 cm, and the breadth made up of the rectangles also 6 cm), so one pattern's area = 6 × 9 = 54 cm² (per the working). The paper holds 8 patterns: 54 × 8 = 432 cm². Answer: 432 cm².", "hints": ["First find the area of one pattern made from the 3 rectangles.", "Multiply the area of one pattern by 8."], "source": "Ai Tong 2025 P3 End of Year Exam Q24", "image_needed": true, "image_options": false, "image_file": "q24.png", "image_page": 14, "image_bbox": [0.24, 0.16, 0.78, 0.35], "image_loc": "Figure 1 (one pattern, 6 cm wide) and Figure 2 (partial tiling of the paper)", "notes": "Answer unit cm². Key working: 6 × 9 = 54; 54 × 8 = 432 m² (key prints m² but answer line states cm²; area = 432 cm²)." }, { "n": 25, "type_id": 2, "question": "The diagram shows the prices of Zoo entrance tickets. Child: $7. Adult: $22. [?] How much do 1 child and 1 adult ticket cost altogether? [?] Some children went to the zoo. They paid a total of $126 for their tickets. How many children went to the zoo?", "answer0": "29", "answer1": "18", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "(a) 1 child + 1 adult = $7 + $22 = $29. (b) Each child ticket is $7, so number of children = $126 ÷ $7 = 18. Answer: (a) $29; (b) 18.", "hints": ["For (a) add the child price and the adult price.", "For (b) divide the total $126 by the child ticket price $7."], "source": "Ai Tong 2025 P3 End of Year Exam Q25", "image_needed": false, "image_options": false, "image_file": null, "notes": "Prices given in stem; the ticket-board figure is decorative. (a) answer in dollars ($29), (b) count 18." }, { "n": 26, "type_id": 2, "question": "Mrs Tan baked an equal number of cupcakes and muffins. 90 cupcakes and 54 muffins were sold. The number of muffins then became twice the number of cupcakes. [?] How many cupcakes and muffins were unsold? [?] How many cupcakes and muffins were baked?", "answer0": "108", "answer1": "252", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "Equal numbers baked, then 90 cupcakes and 54 muffins sold. The remaining muffins are twice the remaining cupcakes. Since the same number was baked, the difference 90 − 54 = 36 between cupcakes sold and muffins sold equals 1 unit (the extra cupcakes left makes muffins double). Remaining cupcakes = 1 unit = 36, remaining muffins = 2 units = 72, so total unsold = 36 + 72 = 108. (a) 108 unsold. (b) Total baked = unsold + sold = 108 + 90 + 54 = 252. Answer: (a) 108; (b) 252.", "hints": ["After selling, the leftover muffins are twice the leftover cupcakes — use units.", "Total baked = total unsold + total sold (90 + 54)."], "source": "Ai Tong 2025 P3 End of Year Exam Q26", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two parts: (a) 108 unsold, (b) 252 baked. Key: 1u = 90 − 54 = 36; 3u = 108; 108 + 90 + 54 = 252." } ] }