{ "paper": { "school": "Henry Park", "year": 2024, "level": "P4", "label": "Weighted Assessment 1", "source_prefix": "Henry Park 2024 P4 Weighted Assessment 1", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 2, "question": "(a) Find the product of 4208 and 3.
(b) Find the missing number in the box.
6230 ÷ 7 = [?]", "answer0": "12624", "answer1": "890", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 116, "difficulty_id": 1, "explanation": "Method: multiply and divide.
(a) 4208 × 3 = 12624.
(b) 6230 ÷ 7 = 890.
So the product is 12624 and the missing number is 890.", "hints": [ "For (a) multiply 4208 by 3, place value by place value.", "For (b) divide 6230 by 7 using long division." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two-blank computation: answer0=product (a), answer1=quotient (b). Verified against key Q1." }, { "n": 2, "type_id": 2, "question": "A shop owner has 235 boxes of pens. There are 57 pens in each box. How many pens are there altogether?", "answer0": "13395", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 116, "difficulty_id": 2, "explanation": "Method: multiply boxes by pens per box.
235 × 57 = 13395.
There are 13395 pens altogether.", "hints": [ "Total = number of boxes × pens per box.", "Multiply 235 by 57." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Verified against key Q2: 253×57=13395 (key mislabels 235 as 253; product 13395 is for 235×57). Answer 13395." }, { "n": 3, "type_id": 2, "question": "(a) Write $$3\\frac{5}{6}$$ as an improper fraction.
(b) Arrange the fraction in decreasing order.
$$\\frac{1}{3}$$ , $$\\frac{3}{5}$$ , $$\\frac{3}{7}$$", "answer0": "23/6", "answer1": "3/5", "answer2": "3/7", "answer3": "1/3", "correct_answer": null, "skill_id": 119, "difficulty_id": 2, "explanation": "(a) $$3\\frac{5}{6}=\\frac{3\\times 6+5}{6}=\\frac{23}{6}$$.
(b) Convert to compare: $$\\frac{1}{3}\\approx 0.33$$, $$\\frac{3}{5}=0.6$$, $$\\frac{3}{7}\\approx 0.43$$. Decreasing order: $$\\frac{3}{5}$$, $$\\frac{3}{7}$$, $$\\frac{1}{3}$$.", "hints": [ "Improper fraction: (whole × denominator) + numerator, over the denominator.", "To order, find a common denominator or convert to decimals; biggest first." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "answer0=improper fraction (a); answer1-3=decreasing order (b). Verified against key Q3 (3/5, 3/7, 1/3)." }, { "n": 4, "type_id": 2, "question": "(a) Find the value of $$\\frac{1}{5}+\\frac{3}{10}$$. Express your answer in the simplest form.
(b) Find the value of $$4-\\frac{3}{8}$$.", "answer0": "1/2", "answer1": "3 5/8", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 121, "difficulty_id": 2, "explanation": "(a) $$\\frac{1}{5}=\\frac{2}{10}$$; $$\\frac{2}{10}+\\frac{3}{10}=\\frac{5}{10}=\\frac{1}{2}$$.
(b) $$4=3\\frac{8}{8}$$; $$3\\frac{8}{8}-\\frac{3}{8}=3\\frac{5}{8}$$.", "hints": [ "For (a) make the denominators the same before adding, then simplify.", "For (b) rename 4 as a mixed number 3 8/8, then subtract." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "answer0=1/2 (a); answer1=mixed number 3 5/8 (b). Verified against key Q4." }, { "n": 5, "type_id": 2, "question": "In a class of 36, $$\\frac{1}{4}$$ of the students wear spectacles. How many students wear spectacles?", "answer0": "9", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 120, "difficulty_id": 1, "explanation": "Method: fraction of a set.
$$\\frac{1}{4}$$ of 36 = 36 ÷ 4 = 9.
9 students wear spectacles.", "hints": [ "A quarter of a set means divide the total by 4.", "36 ÷ 4 = ?" ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Verified against key Q5: 36÷4=9." }, { "n": 6, "type_id": 2, "question": "The line graph shows the temperature from 8.00 a.m. to 6.00 p.m. on a particular day in Lagoon Island.
(a) What is the temperature in Lagoon Island at 4.00 p.m.?
(b) What is the increase in temperature between 10 a.m. to 12 p.m.?", "answer0": "32", "answer1": "8", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 147, "difficulty_id": 2, "explanation": "Read values from the line graph.
(a) At 4 p.m. the temperature is 32°C.
(b) At 10 a.m. it is 17°C and at 12 p.m. it is 25°C, so the increase = 25 − 17 = 8°C.", "hints": [ "For (a) read the y-value of the point above 4 p.m.", "For (b) subtract the 10 a.m. value from the 12 p.m. value." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Q6", "image_needed": true, "image_options": false, "image_file": "q6.png", "image_page": 4, "image_bbox": [ 0.18, 0.13, 0.92, 0.47 ], "image_loc": "line graph 'Temperature in Lagoon Island' near top of page, below the question text", "notes": "answer0=32 (°C, a); answer1=8 (°C increase, b). Units stated on answer line in paper. Verified against key Q6: a)32°C, b)25-17=8." }, { "n": 7, "type_id": 2, "question": "$$\\frac{1}{7}$$ of the box is filled with balls. After another 42 balls are put into the box, it became $$\\frac{3}{7}$$ filled. How many more balls are needed to fill the box completely?", "answer0": "84", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 3, "explanation": "The 42 balls fill $$\\frac{3}{7}-\\frac{1}{7}=\\frac{2}{7}$$ of the box, so 2 units = 42 balls and 1 unit = 42 ÷ 2 = 21 balls. The box is now $$\\frac{3}{7}$$ filled, leaving $$\\frac{4}{7}$$ empty (7 − 3 = 4 units). Balls needed = 4 × 21 = 84.", "hints": [ "Find how many sevenths the 42 balls represent (3/7 − 1/7).", "Find 1 unit, then multiply by the number of empty units." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "Verified against key Q7: 42÷2=21, 7-3=4, 21×4=84." }, { "n": 8, "type_id": 2, "question": "The table shows the Mathematics test scores obtained by Primary 4K students. The total mark for the test is 100. Part of the table is covered by an ink blot.

Marks: 0-49 | 50-69 | 70-84 | 85-100
Number of students: [?] | 12 | 10 | 13

$$\\frac{1}{6}$$ of the students failed the test. How many students are there in Class 4K?", "answer0": "42", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 148, "difficulty_id": 3, "explanation": "The students scoring 50 and above = 12 + 10 + 13 = 35, which is $$\\frac{5}{6}$$ of the class (since $$\\frac{1}{6}$$ failed). So 5 units = 35 and 1 unit = 35 ÷ 5 = 7. Total class = 6 × 7 = 42 students.", "hints": [ "Add the students who passed (50 and above).", "Those passers are 5/6 of the class; find 1/6, then the whole." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Table reproduced in stem as text; ink blot hides the 0-49 count (which is the answer, 7). Class total = 42. Verified against key Q8: 12+10+13=35, 35÷5=7, 7×6=42." }, { "n": 9, "type_id": 2, "question": "Ali, Bala and Cathy had a total of $1500. Bala had thrice as much money as Ali and Cathy had twice as much money as Ali. How much money did Bala and Cathy have altogether?", "answer0": "1250", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "Let Ali = 1 unit. Bala = 3 units, Cathy = 2 units. Total = 1 + 3 + 2 = 6 units = $1500, so 1 unit = 1500 ÷ 6 = $250 (Ali). Bala and Cathy together = 1500 − 250 = $1250.", "hints": [ "Use units: Ali = 1 unit, Bala = 3 units, Cathy = 2 units.", "Find Ali's amount first, then subtract from the total." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer in dollars: $1250. Verified against key Q9: 1500÷6=250, 1500-250=1250." }, { "n": 10, "type_id": 2, "question": "The graph shows the number of visitors at a carnival from Monday to Sunday. The number of visitors on Sunday was missing in the graph. The admission ticket for each visitor was $8.
(a) How much money was collected from the sale of admission tickets on Thursday?
(b) $4000 more was collected on Sunday than on Wednesday. How many visitors visited the Carnival on Sunday?", "answer0": "12000", "answer1": "2500", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 148, "difficulty_id": 2, "explanation": "(a) Thursday had 1500 visitors. Money = 1500 × $8 = $12000.
(b) Wednesday had 2000 visitors, collecting 2000 × $8 = $16000. Sunday collected $4000 more = $20000... using units: $4000 ÷ $8 = 500 extra visitors, and Wednesday = 2000 visitors, so Sunday = 2000 + 500 = 2500 visitors.", "hints": [ "Read the visitor count off the graph, then multiply by $8.", "Convert the extra $4000 into extra visitors ($4000 ÷ $8), then add to Wednesday's count." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Q10", "image_needed": true, "image_options": false, "image_file": "q10.png", "image_page": 7, "image_bbox": [ 0.18, 0.15, 0.78, 0.42 ], "image_loc": "line graph 'Number of visitors at the carnival' near top of page, below the question text", "notes": "answer0=12000 ($ from Thursday's 1500 visitors, a); answer1=2500 (Sunday visitors, b). Verified against key Q10: a)1500×8=12000; b)4000÷8=500, 2000+500=2500." }, { "n": 11, "type_id": 2, "question": "There was $$\\frac{11}{12}$$ $$l$$ of water in a tank. Dinesh used $$\\frac{1}{4}$$ $$l$$ to water his plants.
(a) How much water was left in the tank after he watered his plants?
(b) The next day, he added $$\\frac{5}{6}$$ $$l$$ of water into the tank. How much water was there in the tank in the end? Give your answer as a mixed number in the simplest form.", "answer0": "2/3", "answer1": "1 1/2", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 3, "explanation": "(a) $$\\frac{11}{12}-\\frac{1}{4}=\\frac{11}{12}-\\frac{3}{12}=\\frac{8}{12}=\\frac{2}{3}$$ L left.
(b) Add $$\\frac{5}{6}=\\frac{10}{12}$$: $$\\frac{8}{12}+\\frac{10}{12}=\\frac{18}{12}=1\\frac{6}{12}=1\\frac{1}{2}$$ L.", "hints": [ "For (a) convert 1/4 to twelfths, then subtract from 11/12 and simplify.", "For (b) convert 5/6 to twelfths, add to the (a) answer, then write as a mixed number in simplest form." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "answer0=2/3 (L, a); answer1=mixed number 1 1/2 (L, b). Verified against key Q11: 11/12-3/12=8/12=2/3; 5/6=10/12, 10/12+8/12=18/12=1 1/2." }, { "n": 12, "type_id": 2, "question": "Stacy went shopping with some money. She spent $$\\frac{1}{3}$$ of her money on food and $40 on transport. She then had $$\\frac{2}{9}$$ of her money left. How much did she spend on food?", "answer0": "30", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 3, "explanation": "Food = $$\\frac{1}{3}=\\frac{3}{9}$$ of her money; money left = $$\\frac{2}{9}$$. So food + left = $$\\frac{3}{9}+\\frac{2}{9}=\\frac{5}{9}$$, and the transport portion = $$1-\\frac{5}{9}=\\frac{4}{9}$$ = $40. So 1 unit ($$\\frac{1}{9}$$) = 40 ÷ 4 = $10. Food = $$\\frac{3}{9}$$ = 3 × $10 = $30.", "hints": [ "Express food (1/3) and the money left (2/9) over the same denominator, 9ths.", "The leftover ninths equal the $40 transport; find one ninth, then 3 ninths for food." ], "source": "Henry Park 2024 P4 Weighted Assessment 1 Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer in dollars: $30. Verified against key Q12: transport 4/9=$40, 40÷4=10, food 3/9=10×3=30." } ] }