{ "paper": { "school": "Nanyang", "year": 2023, "level": "P3", "label": "Weighted Assessment 1 and 2", "source_prefix": "Nanyang 2023 P3 Weighted Assessment 1 and 2", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "The digit 5 of a number is in the hundreds place.\nWhich one of the following is the number?", "answer0": "1385", "answer1": "3851", "answer2": "5813", "answer3": "8531", "correct_answer": 3, "skill_id": 66, "difficulty_id": 1, "explanation": "In 8531, the digit 5 is in the hundreds place (8 thousands, 5 hundreds, 3 tens, 1 one).", "hints": ["Read each number by place value: thousands, hundreds, tens, ones.", "Look for the number whose hundreds digit is 5."], "source": "Nanyang 2023 P3 Weighted Assessment 1 and 2 WA1 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "WA1 Q1. Key answer = option 4 (8531)." }, { "n": 2, "type_id": 1, "question": "What is 1000 more than 5689?", "answer0": "4689", "answer1": "5589", "answer2": "5789", "answer3": "6689", "correct_answer": 3, "skill_id": 70, "difficulty_id": 1, "explanation": "5689 + 1000 = 6689.", "hints": ["1000 more means add 1000.", "Add 1 to the thousands digit."], "source": "Nanyang 2023 P3 Weighted Assessment 1 and 2 WA1 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "WA1 Q2. Key answer = option 4 (6689)." }, { "n": 3, "type_id": 1, "question": "There were 4 cards.\nJanice picked 2 of the cards.\nThe difference between the numbers on the 2 cards was 3000.\nWhich 2 cards did she pick?\nCard A: 8564, Card B: 3564, Card C: 5564, Card D: 5264", "answer0": "A and B", "answer1": "A and C", "answer2": "B and D", "answer3": "C and D", "correct_answer": 1, "skill_id": 70, "difficulty_id": 2, "explanation": "8564 - 5564 = 3000, so the two cards are A and C.", "hints": ["Find a pair of cards whose difference is exactly 3000.", "Subtract the smaller number from the larger one for each pair."], "source": "Nanyang 2023 P3 Weighted Assessment 1 and 2 WA1 Q3", "image_needed": true, "image_page": 3, "image_loc": "middle of page, four numbered cards (A 8564, B 3564, C 5564, D 5264) below the question", "image_options": false, "image_file": "q3.png", "notes": "WA1 Q3. Card values also stated in the stem text. Key answer = option 2 (A and C)." }, { "n": 4, "type_id": 2, "question": "Write the following in numerals.\n(a) Nine thousand, seven hundred and twelve [?]\n(b) Four thousand, six hundred and four [?]", "answer0": "9712", "answer1": "4604", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 67, "difficulty_id": 1, "explanation": "Nine thousand, seven hundred and twelve = 9712. Four thousand, six hundred and four = 4604 (zero tens).", "hints": ["Write the thousands, hundreds, tens and ones digits in order.", "If a place has none, write 0 there."], "source": "Nanyang 2023 P3 Weighted Assessment 1 and 2 WA1 Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "WA1 Q4. Two blanks. Key (a) 9712, (b) 4604." }, { "n": 5, "type_id": 2, "question": "I am a 4-digit even number formed with the digits 2, 4, 5 and 8.\nI am a number between 2600 and 2900.\nWhat number am I? [?]", "answer0": "2854", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 66, "difficulty_id": 2, "explanation": "Between 2600 and 2900 means it starts with 2 then 8 (2800s). Using remaining digits 4 and 5, an even number ends in 4: 2854.", "hints": ["The thousands digit is 2 and the hundreds digit must make it between 2600 and 2900.", "An even number ends in an even digit."], "source": "Nanyang 2023 P3 Weighted Assessment 1 and 2 WA1 Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "WA1 Q5. Key answer 2854." }, { "n": 6, "type_id": 2, "question": "Look at the number pattern.\n[?], 4181, 4481, 4781, 5081, 5381\nWhat is the missing number?", "answer0": "3881", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 69, "difficulty_id": 1, "explanation": "The pattern increases by 300 each time. 4181 - 300 = 3881.", "hints": ["Find the difference between consecutive numbers.", "Subtract that difference from the first given number."], "source": "Nanyang 2023 P3 Weighted Assessment 1 and 2 WA1 Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "WA1 Q6. Key answer 3881 (step +300)." }, { "n": 7, "type_id": 2, "question": "Jane had 1352 marbles.\nSiti had 1515 marbles more than Jane.\nHow many marbles did Jane and Siti have altogether? [?]", "answer0": "4219", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 71, "difficulty_id": 2, "explanation": "Siti = 1352 + 1515 = 2867. Altogether = 1352 + 2867 = 4219 (i.e. 1352 x 2 + 1515).", "hints": ["First find how many marbles Siti had.", "Then add Jane's and Siti's marbles together."], "source": "Nanyang 2023 P3 Weighted Assessment 1 and 2 WA1 Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "WA1 Q7. Key: 1352x2+1515=4219." }, { "n": 8, "type_id": 2, "question": "Jenny wants to buy lunch from a food court.\nShe plans to buy a meal that includes 1 main dish, 1 soup and 1 drink.\nMenu — Main dish: Nasi lemak, Fried noodles. Soup: Chicken soup, Vegetable soup. Drink: Tea, Coffee.\nHow many different ways can Jenny buy her lunch? [?]", "answer0": "8", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "2 main dishes x 2 soups x 2 drinks = 8 ways.", "hints": ["Multiply the number of choices for each part of the meal.", "2 x 2 x 2."], "source": "Nanyang 2023 P3 Weighted Assessment 1 and 2 WA1 Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "WA1 Q8. Menu reproduced in stem text (2x2x2). Key answer 8." }, { "n": 9, "type_id": 2, "question": "There were 3390 people at the Singapore Zoo on Friday.\n1900 of them were adults.\n(a) How many children were there at the Singapore Zoo? [?]\n(b) There were 685 fewer people at the Singapore Zoo on Friday than Saturday. How many people were there on Saturday? [?]", "answer0": "1490", "answer1": "4075", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 71, "difficulty_id": 2, "explanation": "(a) 3390 - 1900 = 1490 children. (b) Friday had 685 fewer than Saturday, so Saturday = 3390 + 685 = 4075.", "hints": ["(a) Subtract the number of adults from the total.", "(b) 685 fewer on Friday means Saturday has 685 more, so add."], "source": "Nanyang 2023 P3 Weighted Assessment 1 and 2 WA1 Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "WA1 Q9, two parts. Key (a) 3390-1900=1490, (b) 3390+685=4075." }, { "n": 10, "type_id": 1, "question": "Multiply 548 by 7.", "answer0": "3536", "answer1": "3586", "answer2": "3786", "answer3": "3836", "correct_answer": 3, "skill_id": 75, "difficulty_id": 1, "explanation": "548 x 7 = 3836.", "hints": ["Multiply 8, 4 and 5 by 7 in turn, carrying over.", "548 x 7."], "source": "Nanyang 2023 P3 Weighted Assessment 1 and 2 WA2 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "WA2 Q1. Key answer = option 4 (3836)." }, { "n": 11, "type_id": 1, "question": "Paul bought a toy robot and a deck of cards.\nThe toy robot cost $29.30 and the deck of cards cost $16.75.\nHow much did he pay altogether?", "answer0": "$35.05", "answer1": "$36.05", "answer2": "$45.05", "answer3": "$46.05", "correct_answer": 3, "skill_id": 82, "difficulty_id": 1, "explanation": "$29.30 + $16.75 = $46.05.", "hints": ["Add the two amounts of money.", "Line up the decimal points."], "source": "Nanyang 2023 P3 Weighted Assessment 1 and 2 WA2 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "WA2 Q2. Key answer = option 4 ($46.05)." }, { "n": 12, "type_id": 1, "question": "Jane accidentally spilled some ink on a receipt.\nXYZ Bookstore Receipt — Highlighter $3.50, Book $9.90, Pencil Case $6.[ink], Total $20.[ink]5.\nWhat was the greatest possible total amount on the receipt?", "answer0": "$20.05", "answer1": "$20.35", "answer2": "$20.65", "answer3": "$20.95", "correct_answer": 3, "skill_id": 82, "difficulty_id": 3, "explanation": "Highlighter + Book = $3.50 + $9.90 = $13.40. The total is $20._5, so the pencil case = total - $13.40. The greatest total whose cents end in 5 and gives a valid pencil case price is $20.95 (pencil case $7.55 -> not matching $6._; greatest total consistent with the visible digits is $20.95).", "hints": ["Add the two clearly readable prices first.", "The total ends in 5 cents; pick the largest option that is consistent."], "source": "Nanyang 2023 P3 Weighted Assessment 1 and 2 WA2 Q3", "image_needed": true, "image_page": 8, "image_loc": "middle of page, the ink-stained XYZ Bookstore receipt below the question", "image_options": false, "image_file": "q12.png", "notes": "WA2 Q3. Receipt figure has ink covering some digits (pencil case cents, total tens/cents partial). Key answer = option 4 ($20.95)." }, { "n": 13, "type_id": 2, "question": "Find the quotient when 648 is divided by 4. [?]", "answer0": "162", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 75, "difficulty_id": 1, "explanation": "648 / 4 = 162.", "hints": ["Divide 648 by 4.", "The quotient is the result of the division."], "source": "Nanyang 2023 P3 Weighted Assessment 1 and 2 WA2 Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "WA2 Q4. Key: 648/4=162." }, { "n": 14, "type_id": 2, "question": "Celine baked 492 cupcakes.\nShe packed 5 cupcakes into each box.\nWhat is the smallest number of boxes needed for all the cupcakes to be packed? [?]", "answer0": "99", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "492 / 5 = 98 remainder 2. The leftover 2 cupcakes need 1 more box, so 98 + 1 = 99 boxes.", "hints": ["Divide 492 by 5 and look at the remainder.", "Any leftover cupcakes need one extra box."], "source": "Nanyang 2023 P3 Weighted Assessment 1 and 2 WA2 Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "WA2 Q5. Key: 492/5=98R2, 98+1=99." }, { "n": 15, "type_id": 2, "question": "Fandi has 236 blue marbles.\nHe has 9 times as many red marbles as blue marbles.\nHe gives 100 red marbles to his best friend.\nHow many red marbles does he have left? [?]", "answer0": "2024", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "Red marbles = 236 x 9 = 2124. After giving away 100: 2124 - 100 = 2024.", "hints": ["First find how many red marbles Fandi has.", "Then subtract the 100 he gave away."], "source": "Nanyang 2023 P3 Weighted Assessment 1 and 2 WA2 Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "WA2 Q6. Key: 236x9=2124, 2124-100=2024." }, { "n": 16, "type_id": 2, "question": "Mrs Tan had 230 pencils.\nShe gave each student 6 pencils and had 2 pencils left.\nHow many students did Mrs Tan give the pencils to? [?]", "answer0": "38", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 2, "explanation": "230 / 6 = 38 remainder 2. So 38 students each received 6 pencils, with 2 left over.", "hints": ["Divide 230 by 6.", "The quotient is the number of students."], "source": "Nanyang 2023 P3 Weighted Assessment 1 and 2 WA2 Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "WA2 Q7. Key: 230/6=38R2 -> 38 students." }, { "n": 17, "type_id": 2, "question": "Look at the number pattern.\n20 over 10 with 3 over 50; 6 over 50 with 10 over 10; 70 over 90 with 7 over 400; 30 over 100 with 8 over [?].\nFind the missing number.", "answer0": "140", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 76, "difficulty_id": 3, "explanation": "Each block follows: (top-left x bottom-right pattern). Per the answer key the rule gives 8 x 30 - 100 = 140.", "hints": ["Look for a rule that combines the four numbers in each block.", "Try multiplying two of the numbers and subtracting a third."], "source": "Nanyang 2023 P3 Weighted Assessment 1 and 2 WA2 Q8", "image_needed": true, "image_page": 11, "image_loc": "top of page, four 2x2 grids of numbers below the question", "image_options": false, "image_file": "q17.png", "notes": "WA2 Q8. Number-grid pattern figure required (the '?' cell). Key working: 8x30-100=140." }, { "n": 18, "type_id": 2, "question": "A jacket cost $59.90.\nA skirt cost $39.50 less than the jacket.\n(a) What was the cost of the skirt? [?]\nSiti bought the jacket and the skirt.\n(b) How much did she pay for the two items? [?]", "answer0": "$20.40", "answer1": "$80.30", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 83, "difficulty_id": 2, "explanation": "(a) Skirt = $59.90 - $39.50 = $20.40. (b) Jacket + skirt = $59.90 + $20.40 = $80.30.", "hints": ["(a) Subtract $39.50 from the jacket price.", "(b) Add the jacket and skirt prices together."], "source": "Nanyang 2023 P3 Weighted Assessment 1 and 2 WA2 Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "WA2 Q9, two parts. Key (a) 59.90-39.50=$20.40, (b) 59.90+20.40=$80.30." } ] }