{ "paper": { "school": "Nanyang", "year": 2025, "level": "P4", "label": "Weighted Assessment 1", "source_prefix": "Nanyang 2025 P4 Weighted Assessment 1", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "What is the product of 454 and 18?", "answer0": "4086", "answer1": "7172", "answer2": "7142", "answer3": "8172", "correct_answer": 3, "skill_id": 116, "difficulty_id": 1, "explanation": "Multiply 454 by 18. $$454 \\times 18 = 454 \\times 10 + 454 \\times 8 = 4540 + 3632 = 8172$$. The product is 8172.", "hints": ["Split 18 into 10 and 8.", "Add $$454 \\times 10$$ and $$454 \\times 8$$."], "source": "Nanyang 2025 P4 Weighted Assessment 1 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: option 4 (8172)." }, { "n": 2, "type_id": 1, "question": "The number of beads Mrs Tan bought when rounded to the nearest hundred is 4500. What is the greatest possible number of beads that she bought?", "answer0": "4499", "answer1": "4549", "answer2": "4599", "answer3": "4999", "correct_answer": 1, "skill_id": 109, "difficulty_id": 2, "explanation": "A number rounds to 4500 to the nearest hundred when it is from 4450 to 4549. The greatest such number is 4549, since 4550 would round up to 4600.", "hints": ["Numbers from 4450 up to 4549 round to 4500.", "The largest value before rounding up to 4600 is 4549."], "source": "Nanyang 2025 P4 Weighted Assessment 1 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: option 2 (4549)." }, { "n": 3, "type_id": 1, "question": "Look at the number sequence carefully.
24, 28, 32, 36, 40, … …
What is the 20th number?", "answer0": "194", "answer1": "100", "answer2": "80", "answer3": "76", "correct_answer": 1, "skill_id": 108, "difficulty_id": 2, "explanation": "The sequence increases by 4 each time, starting at 24. The number of 4s added is 1 less than the position, so the 20th term adds $$19 \\times 4 = 76$$. Then $$76 + 24 = 100$$.", "hints": ["Each term is 4 more than the previous.", "20th term = $$24 + 19 \\times 4$$."], "source": "Nanyang 2025 P4 Weighted Assessment 1 Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: option 2 (100). 1st term is 24." }, { "n": 4, "type_id": 2, "question": "What is the remainder when 5729 is divided by 9?", "answer0": "5", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 117, "difficulty_id": 1, "explanation": "Divide 5729 by 9: $$5729 \\div 9 = 636$$ remainder 5, since $$636 \\times 9 = 5724$$ and $$5729 - 5724 = 5$$. The remainder is 5.", "hints": ["Find the largest multiple of 9 not exceeding 5729.", "$$636 \\times 9 = 5724$$; subtract from 5729."], "source": "Nanyang 2025 P4 Weighted Assessment 1 Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 5." }, { "n": 5, "type_id": 2, "question": "List down all the common factors of 15 and 42.", "answer0": "1, 3", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 113, "difficulty_id": 2, "explanation": "Factors of 15: 1, 3, 5, 15. Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42. The common factors are 1 and 3.", "hints": ["List the factors of each number.", "Pick the numbers that appear in both lists."], "source": "Nanyang 2025 P4 Weighted Assessment 1 Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 1 and 3." }, { "n": 6, "type_id": 2, "question": "(a) Find the 7th multiple of 4.
(b) List down the second common multiple of 6 and 9.", "answer0": "28", "answer1": "36", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 115, "difficulty_id": 2, "explanation": "(a) The 7th multiple of 4 is $$7 \\times 4 = 28$$. (b) Multiples of 6: 6, 12, 18, 24, 30, 36, …; multiples of 9: 9, 18, 27, 36, …. Common multiples are 18 (1st) and 36 (2nd), so the second common multiple is 36.", "hints": ["A multiple of 4 is 4 times a whole number.", "List multiples of 6 and 9 and find the second one common to both."], "source": "Nanyang 2025 P4 Weighted Assessment 1 Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: (a) 28 [key writes 7x4=28], (b) 36. Two blanks: answer0=28, answer1=36." }, { "n": 7, "type_id": 2, "question": "Use the digits given below to answer each of the following questions. Each digit can only be used once.
3 8 6 2 1
(a) Form the greatest 5-digit even number.
(b) Form the smallest 4-digit odd number.", "answer0": "86312", "answer1": "1263", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 105, "difficulty_id": 2, "explanation": "(a) For the greatest even number, place the largest digits first and keep an even digit in the ones place: 8, 6, 3, 1, then 2 (even) gives 86312. (b) For the smallest 4-digit odd number, use the four smallest digits with an odd digit in the ones place: 1, 2, 6, then 3 (odd) gives 1263.", "hints": ["Greatest number: largest digits in the highest place values; ones digit must be even.", "Smallest number: smallest digits first; ones digit must be odd."], "source": "Nanyang 2025 P4 Weighted Assessment 1 Q7", "image_needed": true, "image_options": false, "image_file": "q7.png", "image_page": 4, "image_bbox": [0.26, 0.10, 0.83, 0.20], "image_loc": "row of five boxed digits (3, 8, 6, 2, 1) near top of page", "notes": "Answer key: (a) 86312, (b) 1263. Two blanks. Digits 3,8,6,2,1 shown in boxes." }, { "n": 8, "type_id": 2, "question": "Denise has some stamps and pens. She has as many stamps as pens. When she gives each friend 3 pens, she will have 9 pens left. When each friend gets 4 stamps from Denise, she will have 6 extra stamps. How many friends does Denise have?", "answer0": "3", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "Let the number of friends be a value. Pens = $$3 \\times \\text{friends} + 9$$ and stamps = $$4 \\times \\text{friends} + 6$$. Since stamps equal pens, $$3 \\times \\text{friends} + 9 = 4 \\times \\text{friends} + 6$$, so $$9 - 6 = 4 \\times \\text{friends} - 3 \\times \\text{friends}$$, giving friends = 3. (Check: 3 friends → pens = $$3 \\times 3 + 9 = 18$$, stamps = $$4 \\times 3 + 6 = 18$$.)", "hints": ["Write the total pens and total stamps in terms of the number of friends.", "Stamps equal pens, so set the two expressions equal and solve."], "source": "Nanyang 2025 P4 Weighted Assessment 1 Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 3 friends." }, { "n": 9, "type_id": 2, "question": "Devi baked 675 cookies on Saturday. She baked 4 times as many cookies on Sunday as on Saturday.
(a) How many cookies did she bake on Sunday?
(b) Devi packed all the cookies that she baked on Saturday into boxes. Each box had 5 cookies. How many boxes of cookies did she pack? Round your answer to the nearest ten.", "answer0": "2700", "answer1": "140", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "(a) Sunday = 4 times Saturday = $$675 \\times 4 = 2700$$ cookies. (b) Boxes = $$675 \\div 5 = 135$$ boxes; rounded to the nearest ten this is 140.", "hints": ["(a) Multiply Saturday's 675 by 4.", "(b) Divide 675 by 5, then round to the nearest ten."], "source": "Nanyang 2025 P4 Weighted Assessment 1 Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: (a) 2700, (b) 140 (135 rounded to nearest ten). Two blanks." } ] }