{ "paper": { "school": "Pei Hwa Presbyterian Primary School", "year": 2023, "level": "P4", "label": "Weighted Assessment 1", "source_prefix": "Pei Hwa 2023 P4 Weighted Assessment 1", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "94 072 = 90 000 + [?] + 70 + 2
What is the missing number in the box?", "answer0": "40 000", "answer1": "4000", "answer2": "400", "answer3": "40", "correct_answer": 1, "skill_id": 105, "difficulty_id": 1, "explanation": "94 072 = 90 000 + 4000 + 70 + 2. The missing number is the thousands part: 94 072 - 90 000 - 70 - 2 = 4000.", "hints": ["Expand 94 072 by place value: ten thousands, thousands, hundreds, tens, ones.", "90 000 + 70 + 2 = 90 072. So the box = 94 072 - 90 072."], "source": "Pei Hwa 2023 P4 Weighted Assessment 1 Q1", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Key: option 2 (4000)." }, { "n": 2, "type_id": 1, "question": "What is the value of digit 7 in 32 718?", "answer0": "7", "answer1": "70", "answer2": "700", "answer3": "7000", "correct_answer": 2, "skill_id": 105, "difficulty_id": 1, "explanation": "In 32 718 the digit 7 is in the hundreds place, so its value is 7 x 100 = 700.", "hints": ["Identify which place column the 7 sits in.", "32 7-18: the 7 is in the hundreds place."], "source": "Pei Hwa 2023 P4 Weighted Assessment 1 Q2", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Key: option 3 (700)." }, { "n": 3, "type_id": 1, "question": "Arrange the following numbers from the greatest to the smallest.
58 719, 85 917, 58 197", "answer0": "58 197, 58 719, 85 917", "answer1": "58 719, 58 197, 85 917", "answer2": "85 917, 58 719, 58 197", "answer3": "85 917, 58 197, 58 719", "correct_answer": 2, "skill_id": 107, "difficulty_id": 2, "explanation": "Compare digit by digit. 85 917 has 8 ten-thousands so is largest. Between 58 719 and 58 197, the hundreds digit decides: 7 > 1, so 58 719 > 58 197. Greatest to smallest: 85 917, 58 719, 58 197.", "hints": ["Compare the ten-thousands digit first.", "When the leading digits tie, compare the next place value."], "source": "Pei Hwa 2023 P4 Weighted Assessment 1 Q3", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Key: option 3." }, { "n": 4, "type_id": 1, "question": "Which of the following is not a common factor of 12 and 16?", "answer0": "1", "answer1": "2", "answer2": "3", "answer3": "4", "correct_answer": 2, "skill_id": 113, "difficulty_id": 2, "explanation": "Factors of 12: 1, 2, 3, 4, 6, 12. Factors of 16: 1, 2, 4, 8, 16. Common factors: 1, 2, 4. So 3 is NOT a common factor.", "hints": ["List the factors of 12 and of 16.", "A common factor must divide both numbers exactly."], "source": "Pei Hwa 2023 P4 Weighted Assessment 1 Q4", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Key: option 3 (3)." }, { "n": 5, "type_id": 1, "question": "3024 ÷ 4 =", "answer0": "751", "answer1": "756", "answer2": "801", "answer3": "1256", "correct_answer": 1, "skill_id": 117, "difficulty_id": 1, "explanation": "3024 ÷ 4: 30 ÷ 4 = 7 r 2, bring down 2 -> 22 ÷ 4 = 5 r 2, bring down 4 -> 24 ÷ 4 = 6. Answer = 756.", "hints": ["Use long division, dividing one place at a time.", "Check: 756 x 4 = 3024."], "source": "Pei Hwa 2023 P4 Weighted Assessment 1 Q5", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Key: option 2 (756)." }, { "n": 6, "type_id": 1, "question": "Find the product of 17 and 473.", "answer0": "3784", "answer1": "7621", "answer2": "7971", "answer3": "8041", "correct_answer": 3, "skill_id": 116, "difficulty_id": 2, "explanation": "473 x 17 = 473 x 10 + 473 x 7 = 4730 + 3311 = 8041.", "hints": ["Split 17 into 10 + 7.", "473 x 10 = 4730 and 473 x 7 = 3311; add them."], "source": "Pei Hwa 2023 P4 Weighted Assessment 1 Q6", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Key: option 4 (8041)." }, { "n": 7, "type_id": 1, "question": "The figure shows part of a scale.
Round the reading shown to the nearest hundred.", "answer0": "400", "answer1": "440", "answer2": "450", "answer3": "500", "correct_answer": 0, "skill_id": 109, "difficulty_id": 2, "explanation": "The pointer is just past 450 (around 440-460); the marked interval runs 450 to 500 with ten small divisions of 5. Rounded to the nearest hundred the reading is 400 (it is below 450, the half-way point to 500). Answer = 400.", "hints": ["Each small division between 450 and 500 is 5.", "To round to the nearest hundred, decide whether the reading is closer to 400 or 500."], "source": "Pei Hwa 2023 P4 Weighted Assessment 1 Q7", "image_needed": true, "image_options": false, "image_file": "q7.png", "image_page": 4, "image_bbox": [0.38, 0.36, 0.68, 0.47], "image_loc": "rounded scale/gauge figure in the middle of the page, below the question, showing marks 450 and 500", "notes": "Key: option 1 (400). Figure is the scale with pointer." }, { "n": 8, "type_id": 1, "question": "An adult ticket cost $5 and a child ticket cost $2.
There were as many children as adults at the funfair.
The total amount of money collected from the admission tickets was $9520.
How many people were at the funfair altogether?", "answer0": "680", "answer1": "1360", "answer2": "1904", "answer3": "2720", "correct_answer": 3, "skill_id": 118, "difficulty_id": 3, "explanation": "Equal numbers of adults and children, so pair 1 adult + 1 child = $5 + $2 = $7. Number of pairs = $9520 ÷ $7 = 1360. Each pair is 2 people, so total people = 1360 x 2 = 2720.", "hints": ["Group one adult with one child; find the cost of each group.", "Divide the total by the group cost to get the number of groups, then multiply by 2 for people."], "source": "Pei Hwa 2023 P4 Weighted Assessment 1 Q8", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Key: option 4 (2720)." }, { "n": 9, "type_id": 2, "question": "(a) Write thirty-two thousand and eighty in numerals.
(b) Complete the number pattern.
31 238, 36 238, 41 238, [?], 51 238", "answer0": "32080", "answer1": "46238", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 106, "difficulty_id": 1, "explanation": "(a) Thirty-two thousand and eighty = 32 080. (b) The pattern increases by 5000 each step: 41 238 + 5000 = 46 238.", "hints": ["(a) 'Thirty-two thousand' = 32 000, then add eighty.", "(b) Find the constant step: 36 238 - 31 238 = 5000."], "source": "Pei Hwa 2023 P4 Weighted Assessment 1 Q9", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Two parts. Key: a) 32080 b) 46238." }, { "n": 10, "type_id": 2, "question": "(a) What is the largest multiple of 6 that is smaller than 50?
(b) What is the common factor of 15 and 24 that is greater than 1?", "answer0": "48", "answer1": "3", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 113, "difficulty_id": 2, "explanation": "(a) Multiples of 6: 42, 48, 54... The largest below 50 is 48. (b) Factors of 15: 1, 3, 5, 15. Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24. The common factor greater than 1 is 3.", "hints": ["(a) Count up in 6s and stop before 50.", "(b) List the factors of each number and find the shared one above 1."], "source": "Pei Hwa 2023 P4 Weighted Assessment 1 Q10", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Two parts. Key: a) 48 b) 3." }, { "n": 11, "type_id": 2, "question": "The mass of a papaya when rounded to the nearest hundred is 300 g.
(a) What is the smallest possible mass of the papaya?
(b) What is the greatest possible mass of the papaya?", "answer0": "250", "answer1": "349", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 109, "difficulty_id": 2, "explanation": "Numbers from 250 to 349 round to 300 when rounded to the nearest hundred. (a) Smallest = 250 g. (b) Greatest = 349 g (350 would round up to 400).", "hints": ["Rounding to the nearest hundred gives 300 for the range 250 to 349.", "The smallest rounds up from the halfway point; the greatest is just below the next halfway point."], "source": "Pei Hwa 2023 P4 Weighted Assessment 1 Q11", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Answers in grams. Key: a) 250 b) 349." }, { "n": 12, "type_id": 2, "question": "Mr Tan made some apple juice.
He drank 320 ml of apple juice and divided the remaining equally into 8 glasses.
Each glass contained 275 ml of apple juice.
How many millilitres of apple juice did he make?", "answer0": "2520", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "Juice in the 8 glasses = 275 x 8 = 2200 ml. Add back what he drank: 2200 + 320 = 2520 ml.", "hints": ["First find the total in the 8 glasses: 275 x 8.", "Add the 320 ml he drank to get the original amount."], "source": "Pei Hwa 2023 P4 Weighted Assessment 1 Q12", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Answer in ml. Key: 275 x 8 = 2200; 2200 + 320 = 2520 ml." }, { "n": 13, "type_id": 2, "question": "Denzel forms 4-digit numbers using each of the digits 1, 2, 5 and 7 once.
State whether each statement is True or False.
(a) The greatest possible number he can form is 7521. [?]
(b) The smallest possible number he can form is a multiple of 3. [?]
(c) He can form 5 different even numbers. [?]", "answer0": "True", "answer1": "True", "answer2": "False", "answer3": null, "correct_answer": null, "skill_id": 107, "difficulty_id": 3, "explanation": "(a) Greatest = arrange digits in descending order: 7521. True. (b) Smallest = 1257; digit sum 1+2+5+7 = 15, divisible by 3, so 1257 is a multiple of 3. True. (c) An even number must end in the only even digit, 2. The other three digits (1, 5, 7) can be arranged in 3 x 2 x 1 = 6 ways, giving 6 even numbers, not 5. False.", "hints": ["(a) Greatest number uses the largest digit in the highest place.", "(c) An even number must end in 2; count the arrangements of the remaining digits."], "source": "Pei Hwa 2023 P4 Weighted Assessment 1 Q13", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "True/False table converted to ordered blanks a,b,c. Key: a) True b) True c) False." }, { "n": 14, "type_id": 2, "question": "Amelia has 9 more marbles than Caleb. She has 12 less marbles than Bala. They have 3795 marbles altogether.
(a) How many more marbles does Bala have than Caleb?
(b) How many marbles does Caleb have?", "answer0": "21", "answer1": "1255", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "(a) Amelia = Caleb + 9, Bala = Amelia + 12 = Caleb + 21. So Bala has 21 more than Caleb. (b) Total = Caleb + (Caleb + 9) + (Caleb + 21) = 3 x Caleb + 30 = 3795. So 3 x Caleb = 3795 - 30 = 3765, Caleb = 3765 ÷ 3 = 1255.", "hints": ["(a) Express Amelia and Bala in terms of Caleb.", "(b) Add the three expressions, subtract the extra amounts, then divide by 3."], "source": "Pei Hwa 2023 P4 Weighted Assessment 1 Q14", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Two parts. Key: a) 12 + 9 = 21 b) 3795 - 21 - 9 = 3765, 3765 / 3 = 1255." }, { "n": 15, "type_id": 2, "question": "Paul had 24 more books than Queenie. After Queenie gave Paul 60 books, Paul had 7 times as many books as Queenie. How many books did Queenie have at first?", "answer0": "84", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "After the transfer Paul has 24 + 60 + 60 = 144 more books than Queenie (the original 24 difference plus the 60 he gained plus the 60 she lost). At that point Paul = 7 units and Queenie = 1 unit, so the difference of 6 units = 144, giving 1 unit = 144 ÷ 6 = 24 (Queenie's books after giving away 60). Queenie at first = 24 + 60 = 84.", "hints": ["After Queenie gives 60 away, the gap between Paul and Queenie grows by 120.", "Model Paul as 7 units and Queenie as 1 unit; the 6-unit difference equals the new gap."], "source": "Pei Hwa 2023 P4 Weighted Assessment 1 Q15", "image_needed": false, "image_options": false, "image_file": null, "image_page": null, "image_bbox": null, "image_loc": null, "notes": "Key: 6u = 60 + 60 + 24 = 144; 1u = 144 / 6 = 24; 24 + 60 = 84." }, { "n": 16, "type_id": 2, "question": "Shop A and Shop B sell the same watch. Shop A retail price is $27. Shop B retail price is $36.
(a) Which shop sells the watch for a lower price? (write A or B)
(b) Jacob bought some watches from Shop B. Andre spent the same amount of money as Jacob at Shop A. Andre bought 8 more watches than Jacob. How many watches did Jacob buy?", "answer0": "A", "answer1": "24", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "(a) $27 < $36, so Shop A is cheaper. (b) Let Jacob buy n watches at Shop B for $36n. Andre spends the same amount at Shop A ($27 each) and buys 8 more watches: 27 x (n + 8) = 36 x n. So 27n + 216 = 36n, 9n = 216, n = 24. Jacob bought 24 watches (Andre bought 32).", "hints": ["(a) Compare the two prices directly.", "(b) The money is equal; each Shop A watch costs $9 less, so the saving buys the 8 extra watches."], "source": "Pei Hwa 2023 P4 Weighted Assessment 1 Q16", "image_needed": true, "image_options": false, "image_file": "q16.png", "image_page": 10, "image_bbox": [0.27, 0.16, 0.71, 0.31], "image_loc": "two boxed watch illustrations side by side near the top of the page labelled Shop A (Retail Price: $27) and Shop B (Retail Price: $36)", "notes": "Two parts. Key prints b) '108/36=3, 3x8=24'. The key's final answer is 24 (3x8). The intermediate '108/36=3' is muddled working, but 27(n+8)=36n solves cleanly to n=24, so Jacob bought 24. answer1=24. Flag for QA: key working is messy though final value 24 is correct." } ] }