{ "paper": { "school": "Nanyang", "year": 2022, "level": "P4", "label": "Weighted Assessment 1", "source_prefix": "Nanyang 2022 P4 Weighted Assessment 1", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "In 34 765, the digit 7 is in the [?] place.", "answer0": "tens", "answer1": "hundreds", "answer2": "thousands", "answer3": "ten thousands", "correct_answer": 1, "skill_id": 105, "difficulty_id": 1, "explanation": "Read the place values of 34 765 from the right: 5 ones, 6 tens, 7 hundreds, 4 thousands, 3 ten thousands. The digit 7 sits in the hundreds place.", "hints": ["Label each digit's place value starting from the ones on the right.", "Count: ones, tens, hundreds — where does 7 land?"], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Stem keeps the blank as printed; answer key (2) = hundreds." }, { "n": 2, "type_id": 1, "question": "36 tens + 84 thousands is the same as [?]", "answer0": "84 360", "answer1": "84 036", "answer2": "8760", "answer3": "8436", "correct_answer": 0, "skill_id": 105, "difficulty_id": 2, "explanation": "36 tens = 36 × 10 = 360. 84 thousands = 84 × 1000 = 84 000. Add: 84 000 + 360 = 84 360.", "hints": ["1 ten = 10 and 1 thousand = 1000.", "Work out 36 tens and 84 thousands separately, then add."], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (1) = 84 360." }, { "n": 3, "type_id": 1, "question": "94 601 = [?] + 601", "answer0": "94 × 10", "answer1": "94 × 100", "answer2": "94 × 1000", "answer3": "94 × 10 000", "correct_answer": 2, "skill_id": 105, "difficulty_id": 2, "explanation": "94 601 − 601 = 94 000. Then 94 000 = 94 × 1000, so the missing value is 94 × 1000.", "hints": ["Subtract 601 from both sides to find the missing part.", "What must 94 be multiplied by to make 94 000?"], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (3) = 94 × 1000." }, { "n": 4, "type_id": 1, "question": "Estimate the value of 4513 − 971 by first rounding each number to the nearest thousand.", "answer0": "3000", "answer1": "3500", "answer2": "4000", "answer3": "4100", "correct_answer": 2, "skill_id": 109, "difficulty_id": 2, "explanation": "Round to the nearest thousand: 4513 → 5000 and 971 → 1000. Then 5000 − 1000 = 4000.", "hints": ["Round 4513 to the nearest thousand, then round 971.", "Subtract the two rounded numbers."], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (3) = 4000 (working shows 5000 − 1000)." }, { "n": 5, "type_id": 1, "question": "Which of the following is a common factor of 12 and 32?", "answer0": "8", "answer1": "6", "answer2": "3", "answer3": "4", "correct_answer": 3, "skill_id": 113, "difficulty_id": 2, "explanation": "Factors of 12: 1, 2, 3, 4, 6, 12. Factors of 32: 1, 2, 4, 8, 16, 32. The common factor among the options is 4.", "hints": ["List the factors of 12 and the factors of 32.", "Find which option appears in both lists."], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key (4) = 4." }, { "n": 6, "type_id": 2, "question": "Find the quotient when 8412 is divided by 9.", "answer0": "934", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 117, "difficulty_id": 2, "explanation": "8412 ÷ 9 = 934 remainder 6. The quotient is the whole-number result, 934.", "hints": ["Use long division: how many 9s in 84, then 81, then 42?", "The quotient is the answer above the line, not the remainder."], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key = 934 (8412 ÷ 9 = 934 R6)." }, { "n": 7, "type_id": 2, "question": "Find the missing number in the box.
123 × 40 = 123 × [?] × 10", "answer0": "4", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 116, "difficulty_id": 1, "explanation": "40 = 4 × 10, so 123 × 40 = 123 × 4 × 10. The missing number is 4.", "hints": ["Split 40 into two factors, one of which is 10.", "40 ÷ 10 gives the missing number."], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key = 4." }, { "n": 8, "type_id": 2, "question": "A given number is a multiple of 8 and a factor of 48.
It is between 20 and 40.
What is the number?", "answer0": "24", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 111, "difficulty_id": 2, "explanation": "Multiples of 8: 8, 16, 24, 32, 40. Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. The number in both lists that is between 20 and 40 is 24.", "hints": ["List the multiples of 8 between 20 and 40.", "Check which of those also divides 48 exactly."], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key = 24." }, { "n": 9, "type_id": 2, "question": "Round the following numbers to the nearest hundred.
(a) 9 950
(b) 23 439", "answer0": "10000", "answer1": "23400", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 109, "difficulty_id": 2, "explanation": "(a) 9 950: the tens digit is 5, so round up the hundreds → 10 000. (b) 23 439: the tens digit is 3 (less than 5), so round down → 23 400.", "hints": ["Look at the tens digit to decide round up or down.", "5 or more rounds up; 4 or less rounds down."], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two blanks in order (a)=10 000, (b)=23 400. Answer key confirms." }, { "n": 10, "type_id": 2, "question": "Find the product of 236 and 47.", "answer0": "11092", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 116, "difficulty_id": 2, "explanation": "236 × 47: 236 × 7 = 1652 and 236 × 40 = 9440. Add: 1652 + 9440 = 11 092.", "hints": ["Multiply 236 by 7, then by 40.", "Add the two partial products."], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key = 11 092." }, { "n": 11, "type_id": 2, "question": "Write the following in numerals.
(a) Ninety-six thousand and eighteen
(b) Thirty-one thousand, two hundred and seventy", "answer0": "96018", "answer1": "31270", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 106, "difficulty_id": 1, "explanation": "(a) Ninety-six thousand = 96 000, and eighteen = 18, giving 96 018. (b) Thirty-one thousand = 31 000, two hundred = 200, and seventy = 70, giving 31 270.", "hints": ["Write the thousands part first, then add the rest.", "Mind the zeros for any missing place values."], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two blanks in order (a)=96 018, (b)=31 270. Answer key confirms." }, { "n": 12, "type_id": 2, "question": "Use the 5 digits to form the greatest 5-digit odd number. Use each digit once only.
4, 9, 6, 7, 3", "answer0": "97643", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 107, "difficulty_id": 2, "explanation": "An odd number must end in an odd digit. To be greatest, the ones digit should be the smallest odd digit, 3. Arrange the rest in descending order: 9, 7, 6, 4. This gives 97 643.", "hints": ["Odd numbers end in 1, 3, 5, 7 or 9 — here pick the smallest odd digit for the ones place.", "Put the remaining digits in descending order in front."], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q12", "image_needed": true, "image_options": false, "image_file": "q12.png", "image_page": 4, "image_bbox": [0.27, 0.34, 0.62, 0.42], "image_loc": "row of five boxed digits 4 9 6 7 3, upper-middle of page", "notes": "Answer key = 97 643. Digit cards shown as a figure; digits also given in stem text as fallback." }, { "n": 13, "type_id": 2, "question": "A number when divided by 6 gives a quotient of 345 and a remainder of 2. What is the number?", "answer0": "2072", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 117, "difficulty_id": 2, "explanation": "Number = quotient × divisor + remainder = 345 × 6 + 2 = 2070 + 2 = 2072.", "hints": ["Use: number = quotient × divisor + remainder.", "Work out 345 × 6 first, then add 2."], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q13", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key = 2072." }, { "n": 14, "type_id": 2, "question": "There are 20 girls standing in a row. Every 2nd girl is wearing a hair pin. Every 3rd girl is wearing a hat. How many girls wear both a hair pin and a hat?", "answer0": "3", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 115, "difficulty_id": 2, "explanation": "A girl wears both if her position is a multiple of both 2 and 3, i.e. a multiple of 6. Within 20: 6, 12, 18 — that is 3 girls.", "hints": ["Both items happen at positions that are multiples of 2 and of 3.", "Count multiples of 6 from 1 to 20."], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q14", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key = 3 (positions 6, 12, 18)." }, { "n": 15, "type_id": 2, "question": "There are 354 people at a party. Each table can only have 5 seats. What is the smallest number of tables needed at the party?", "answer0": "71", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "354 ÷ 5 = 70 remainder 4. The 70 tables seat 350 people; the remaining 4 need one more table. So 70 + 1 = 71 tables.", "hints": ["Divide 354 by 5 to see how many full tables you get.", "If there is a remainder, add one more table for the leftover people."], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q15", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key = 71 (round the quotient up)." }, { "n": 16, "type_id": 2, "question": "Susan has 4364 stickers. May has 2468 stickers. How many stickers must Susan give May so that they have the same number of stickers in the end?", "answer0": "948", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "The difference is 4364 − 2468 = 1896. To make them equal, Susan gives May half the difference: 1896 ÷ 2 = 948.", "hints": ["Find the difference between the two amounts first.", "Half of the difference moves across to even them out."], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q16", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key = 948 ((4364−2468)÷2)." }, { "n": 17, "type_id": 1, "question": "Look at the pattern.
S A F E T Y S A F E T Y S A F E T Y ...
What letter is in the 44th position?", "answer0": "S", "answer1": "A", "answer2": "F", "answer3": "T", "correct_answer": 1, "skill_id": 108, "difficulty_id": 2, "explanation": "The block SAFETY repeats every 6 letters. 44 ÷ 6 = 7 remainder 2, so the 44th letter is the 2nd letter of the block, which is A.", "hints": ["Count the length of the repeating block SAFETY.", "Divide 44 by the block length; the remainder tells you the position in the block."], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q17", "image_needed": false, "image_options": false, "image_file": null, "notes": "Word/letter answer → made MCQ per spec. Answer key = A (44÷6 = 7 R2 → 2nd letter)." }, { "n": 18, "type_id": 1, "question": "A number has 10 as a factor. The number is a multiple of 5. This statement is", "answer0": "True", "answer1": "False", "answer2": "Not possible to tell", "answer3": null, "correct_answer": 0, "skill_id": 114, "difficulty_id": 2, "explanation": "If 10 is a factor of the number, the number is a multiple of 10, and every multiple of 10 is also a multiple of 5. So the statement is True.", "hints": ["Numbers with 10 as a factor end in 0.", "Is every multiple of 10 also a multiple of 5?"], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q18a", "image_needed": false, "image_options": false, "image_file": null, "notes": "Original Q18 is a 4-row True/False/Not-possible-to-tell tick table (not an app type). Split into 4 single-statement MCQs (Q18a-d). Key: a=True." }, { "n": 18, "type_id": 1, "question": "A number has 10 as a factor. The number is an odd number. This statement is", "answer0": "True", "answer1": "False", "answer2": "Not possible to tell", "answer3": null, "correct_answer": 1, "skill_id": 114, "difficulty_id": 2, "explanation": "A number with 10 as a factor is a multiple of 10 and ends in 0, so it is always even. It can never be odd, so the statement is False.", "hints": ["Multiples of 10 all end in 0.", "A number ending in 0 is even, not odd."], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q18b", "image_needed": false, "image_options": false, "image_file": null, "notes": "Sub-statement b of the Q18 tick table. Key: b=False." }, { "n": 18, "type_id": 1, "question": "A number has 10 as a factor. The number is a multiple of 12. This statement is", "answer0": "True", "answer1": "False", "answer2": "Not possible to tell", "answer3": null, "correct_answer": 2, "skill_id": 114, "difficulty_id": 3, "explanation": "Knowing 10 is a factor only tells us the number is a multiple of 10 (e.g. 10, 20, 30...). Some are multiples of 12 (like 60) and some are not (like 10), so we cannot tell.", "hints": ["Try a few multiples of 10 and check if they are multiples of 12.", "If some work and some do not, the answer is not possible to tell."], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q18c", "image_needed": false, "image_options": false, "image_file": null, "notes": "Sub-statement c of the Q18 tick table. Key: c=Not possible to tell." }, { "n": 18, "type_id": 1, "question": "A number has 10 as a factor. The number has 4 as a factor. This statement is", "answer0": "True", "answer1": "False", "answer2": "Not possible to tell", "answer3": null, "correct_answer": 2, "skill_id": 114, "difficulty_id": 3, "explanation": "A multiple of 10 may or may not have 4 as a factor: 20 does (4 × 5), but 10 and 30 do not. So we cannot tell from the information given.", "hints": ["Check multiples of 10 like 10, 20, 30 for divisibility by 4.", "Mixed results mean not possible to tell."], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q18d", "image_needed": false, "image_options": false, "image_file": null, "notes": "Sub-statement d of the Q18 tick table. Key: d=Not possible to tell." }, { "n": 19, "type_id": 2, "question": "Mrs Samy collected a total of $486 from selling some chocolate muffins and 63 banana muffins. She sold the chocolate muffins at $3 each and the banana muffins at $4 each. How many chocolate muffins did she sell?", "answer0": "78", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "Banana muffins earned 63 × $4 = $252. So chocolate muffins earned $486 − $252 = $234. At $3 each, the number sold is $234 ÷ $3 = 78.", "hints": ["Work out how much the 63 banana muffins brought in first.", "Subtract from $486, then divide by the chocolate price."], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q19", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key = 78." }, { "n": 20, "type_id": 2, "question": "Sam had 6 times as much money as Karl. Karl had $128 less than Andy. Both Karl and Andy had a total of $800.
(a) How much money did Karl have?
(b) Sam then bought 8 identical lego sets with all his money. How much did each lego set cost?", "answer0": "$336", "answer1": "$252", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "(a) Karl + Andy = $800 and Andy = Karl + $128. So 2 units of Karl = $800 − $128 = $672, giving Karl = $672 ÷ 2 = $336. (b) Sam had 6 × $336 = $2016. Each of 8 lego sets cost $2016 ÷ 8 = $252.", "hints": ["Karl and Andy differ by $128 and total $800 — remove the extra $128 then halve.", "Sam has 6 times Karl's money; divide that by 8 for one lego set."], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q20", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two parts in order (a)=$336, (b)=$252. Answer key confirms." }, { "n": 21, "type_id": 2, "question": "At a funfair, the number of children was 2 times the number of women. The number of women was 2 times the number of boys. There were 486 girls.
(a) How many children were there?
(b) Each girl bought 20 game tokens. How many game tokens did all the girls buy?", "answer0": "648", "answer1": "9720", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "(a) Children are split into boys and girls. Children = 2 × women and women = 2 × boys, so children = 4 × boys; girls = children − boys = 3 units = 486, so 1 unit (boys) = 486 ÷ 3 = 162. Children = boys + girls = 162 + 486 = 648. (b) Total girls' tokens = 486 × 20 = 9720.", "hints": ["Let boys be 1 unit; children = 4 units, girls = children − boys = 3 units = 486.", "Find one unit, then total children; multiply girls by 20 for tokens."], "source": "Nanyang 2022 P4 Weighted Assessment 1 Q21", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two parts in order (a)=648, (b)=9720. Answer key confirms. (Children = boys + girls; 3 units of boys = 486 girls.)" } ] }