{ "paper": { "school": "St Joseph", "year": 2024, "level": "P4", "label": "Weighted Assessment 1", "source_prefix": "St Joseph 2024 P4 Weighted Assessment 1", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 2, "question": "What is 100 less than 80 060?", "answer0": "79960", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 105, "difficulty_id": 1, "explanation": "Subtract 100 from 80 060: 80 060 - 100 = 79 960.", "hints": [ "Line up the place values and take away 1 hundred.", "Only the hundreds and thousands digits change: 80 0_60 -> 79 9_60." ], "source": "St Joseph 2024 P4 Weighted Assessment 1 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 79960" }, { "n": 2, "type_id": 2, "question": "List all the common factors of 16 and 28.", "answer0": "1", "answer1": "2", "answer2": "4", "answer3": null, "correct_answer": null, "skill_id": 113, "difficulty_id": 2, "explanation": "Factors of 16: 1, 2, 4, 8, 16. Factors of 28: 1, 2, 4, 7, 14, 28. The factors common to both are 1, 2 and 4.", "hints": [ "List every factor of 16 and every factor of 28.", "Pick out the numbers that appear in both lists." ], "source": "St Joseph 2024 P4 Weighted Assessment 1 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 1, 2 and 4. Three blanks in ascending order." }, { "n": 3, "type_id": 2, "question": "Find the product of 358 and 35.", "answer0": "12530", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 116, "difficulty_id": 2, "explanation": "358 x 35 = 358 x 30 + 358 x 5 = 10 740 + 1 790 = 12 530.", "hints": [ "Product means multiply.", "Multiply 358 by 5, then by 30, and add the two results." ], "source": "St Joseph 2024 P4 Weighted Assessment 1 Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 12530" }, { "n": 4, "type_id": 2, "question": "Find the value of 6793 ÷ 6", "answer0": "1132 R1", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 117, "difficulty_id": 2, "explanation": "6793 ÷ 6: 6 ÷ 6 = 1, 7 ÷ 6 = 1 r 1, 19 ÷ 6 = 3 r 1, 13 ÷ 6 = 2 r 1. Quotient 1132 remainder 1, so 6793 ÷ 6 = 1132 R1.", "hints": [ "Use long division, dividing one digit at a time.", "There is a leftover after the last digit — that is the remainder." ], "source": "St Joseph 2024 P4 Weighted Assessment 1 Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 1132R1 (1132 remainder 1)" }, { "n": 5, "type_id": 2, "question": "Express $$\\frac{42}{8}$$ as a mixed number in its simplest form.", "answer0": "5 1/4", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 119, "difficulty_id": 2, "explanation": "42 ÷ 8 = 5 remainder 2, so $$\\frac{42}{8}=5\\frac{2}{8}$$. Simplify $$\\frac{2}{8}=\\frac{1}{4}$$, giving $$5\\frac{1}{4}$$.", "hints": [ "Divide the numerator by the denominator to get the whole-number part.", "Simplify the fractional part by dividing top and bottom by 2." ], "source": "St Joseph 2024 P4 Weighted Assessment 1 Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 5 1/4. Answer entered as mixed number '5 1/4'." }, { "n": 6, "type_id": 1, "question": "Compare the fractions. Use '<' or '>' to indicate which is greater or smaller.
$$2\\frac{5}{8}$$ [?] $$\\frac{5}{2}$$", "answer0": "<", "answer1": ">", "answer2": null, "answer3": null, "correct_answer": 1, "skill_id": 119, "difficulty_id": 2, "explanation": "$$\\frac{5}{2}=2\\frac{1}{2}=2\\frac{4}{8}$$. Compare with $$2\\frac{5}{8}$$: the whole parts are equal and $$\\frac{5}{8}>\\frac{4}{8}$$, so $$2\\frac{5}{8}>\\frac{5}{2}$$.", "hints": [ "Change $$\\frac{5}{2}$$ into a mixed number.", "Give both fractional parts the same denominator of 8, then compare." ], "source": "St Joseph 2024 P4 Weighted Assessment 1 Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: > (2 5/8 is greater than 5/2). Rendered as MCQ choosing the symbol." }, { "n": 7, "type_id": 2, "question": "A stadium can seat 52 000 people when rounded to the nearest thousand. What is the greatest possible seating capacity of this stadium?", "answer0": "52499", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 109, "difficulty_id": 2, "explanation": "Numbers from 51 500 to 52 499 round to 52 000. The greatest of these is 52 499.", "hints": [ "Which numbers round down to 52 000?", "The largest number that still rounds down ends in 499." ], "source": "St Joseph 2024 P4 Weighted Assessment 1 Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 52499 seats" }, { "n": 8, "type_id": 2, "question": "I am thinking of a 3-digit number.
When rounded to the hundred, the number is 800.
The digit in the hundreds place is twice that in the tens place.
The sum of all the digits is 15.
What is this number?", "answer0": "843", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 109, "difficulty_id": 3, "explanation": "Rounds to 800, so the number is 750-849; the hundreds digit is 8, tens digit < 5. Hundreds = twice tens means tens = 4 (8 = 2 x 4). Digits sum to 15: 8 + 4 + ones = 15, so ones = 3. The number is 843.", "hints": [ "Rounding to 800 means the hundreds digit is 8 and the tens digit is under 5.", "If hundreds = 2 x tens, the tens digit must be 4; then use the digit-sum of 15." ], "source": "St Joseph 2024 P4 Weighted Assessment 1 Q8", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 843" }, { "n": 9, "type_id": 2, "question": "James bought an equal number of red and blue marbles. He arranged the red marbles in groups of 5 and the blue marbles in groups of 3. What is the least possible number of red and blue marbles James bought altogether?", "answer0": "30", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 115, "difficulty_id": 2, "explanation": "The number of each colour must be a common multiple of 5 and 3. The least common multiple is 15, so there are 15 red and 15 blue marbles. Altogether 15 + 15 = 30 marbles.", "hints": [ "The count of each colour is a multiple of both 5 and 3.", "Find the smallest common multiple, then double it for both colours." ], "source": "St Joseph 2024 P4 Weighted Assessment 1 Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 15+15=30, Ans 30 red and blue marbles" }, { "n": 10, "type_id": 2, "question": "Subtract $$\\frac{2}{3}$$ from $$\\frac{6}{7}$$.", "answer0": "4/21", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 121, "difficulty_id": 2, "explanation": "$$\\frac{6}{7}-\\frac{2}{3}$$. Common denominator 21: $$\\frac{6}{7}=\\frac{18}{21}$$ and $$\\frac{2}{3}=\\frac{14}{21}$$. $$\\frac{18}{21}-\\frac{14}{21}=\\frac{4}{21}$$.", "hints": [ "'Subtract 2/3 from 6/7' means 6/7 - 2/3.", "Use a common denominator of 21 before subtracting." ], "source": "St Joseph 2024 P4 Weighted Assessment 1 Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 18/21 - 14/21 = 4/21" }, { "n": 11, "type_id": 2, "question": "There were 141 sweets in a box. Melvin gave away $$\\frac{2}{3}$$ of them to his friends and kept the rest. How many sweets did he give away?", "answer0": "94", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 2, "explanation": "$$\\frac{1}{3}$$ of 141 = 141 ÷ 3 = 47. He gave away $$\\frac{2}{3}$$, so 47 x 2 = 94 sweets.", "hints": [ "First find 1/3 of 141 by dividing by 3.", "Multiply that by 2 to get 2/3." ], "source": "St Joseph 2024 P4 Weighted Assessment 1 Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 141÷3=47, 47x2=94" }, { "n": 12, "type_id": 2, "question": "A storybook and 2 notepads cost $46 altogether. The 2 notepads cost $10 less than the storybook. How much does 1 notepad cost?", "answer0": "$9", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "If the 2 notepads cost $10 less than the storybook, then 2 notepads + 2 notepads + $10 = $46. So 4 notepads = $46 - $10 = $36, and 1 notepad = $36 ÷ 4 = $9.", "hints": [ "The storybook = cost of 2 notepads + $10.", "Replace the storybook so everything is in notepads: 4 notepads + $10 = $46." ], "source": "St Joseph 2024 P4 Weighted Assessment 1 Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 46-10=36, 36÷4=9. 1 notepad = $9." }, { "n": 13, "type_id": 2, "question": "The line graph shows the number of T-shirts sold by a shop from Monday to Friday.
(a) How many more T-shirts did the shop sell on Friday than on Tuesday?
(b) Over which two days was the increase in the number of T-shirts sold the greatest?
(c) If the number of T-shirts sold on Saturday was twice the number of T-shirts sold on Wednesday, how many T-shirts were sold on Saturday?", "answer0": "25", "answer1": "Wednesday to Thursday", "answer2": "48", "answer3": null, "correct_answer": null, "skill_id": 148, "difficulty_id": 2, "explanation": "From the graph: Mon 30, Tue 15, Wed 24, Thu 37, Fri 40. (a) Fri - Tue = 40 - 15 = 25 more. (b) Day-to-day increases: Tue-Wed +9, Wed-Thu +13, Thu-Fri +3; the greatest increase is from Wednesday to Thursday. (c) Saturday = 2 x Wednesday = 2 x 24 = 48 T-shirts.", "hints": [ "Read each day's value off the line graph first.", "For (b) compare the rise between each pair of consecutive days." ], "source": "St Joseph 2024 P4 Weighted Assessment 1 Q13", "image_needed": true, "image_options": false, "image_file": "q13.png", "image_page": 9, "image_bbox": [ 0.22, 0.14, 0.84, 0.47 ], "image_loc": "line graph in the upper-middle of the page, below the question text and above parts (a)-(c)", "notes": "Key: (a) 25 T-shirts, (b) Wednesday to Thursday, (c) 48 T-shirts. Three blanks. Graph values Mon30 Tue15 Wed24 Thu37 Fri40." }, { "n": 14, "type_id": 2, "question": "Dan had thrice as many erasers as Elijah at first. After their parents gave them an equal number of erasers each, Dan had twice as many erasers as Elijah and they had a total of 84 erasers. How many erasers did Dan have at first?", "answer0": "42", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "After receiving erasers, total 84 is split as Dan : Elijah = 2 : 1, i.e. 3 units = 84, so 1 unit = 84 ÷ 6... working: 84 ÷ 3 units gives Dan 56 and Elijah 28 after. The equal amount added is x, so Elijah-first = 28 - x and Dan-first = 56 - x = 3(28 - x). Solving: 56 - x = 84 - 3x, 2x = 28, x = 14. Dan at first = 56 - 14 = 42 erasers. (Key working: 84 ÷ 6 = 14, 14 x 3 = 42.)", "hints": [ "After the gift the ratio Dan : Elijah is 2 : 1, totalling 84.", "Each was given the same amount; work backwards to the 3 : 1 starting ratio." ], "source": "St Joseph 2024 P4 Weighted Assessment 1 Q14", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 84÷6=14, 14x3=42. Ans 42 erasers." }, { "n": 15, "type_id": 2, "question": "Nicholas donated some of his savings to charity. He donated $$\\frac{3}{8}$$ of it to Charity A and $$\\frac{1}{4}$$ of it to Charity B. He then donated the rest of his savings equally among 4 other charities. If each of these 4 charities received $60, how much money did he donate to all 6 charities?", "answer0": "$640", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 122, "difficulty_id": 3, "explanation": "The 4 other charities received 4 x $60 = $240, which is the rest of the savings. Fraction left = 1 - $$\\frac{3}{8}$$ - $$\\frac{1}{4}$$ = 1 - $$\\frac{3}{8}$$ - $$\\frac{2}{8}$$ = $$\\frac{3}{8}$$. So $$\\frac{3}{8}$$ of savings = $240, meaning $$\\frac{1}{8}$$ = $80 and total savings = $80 x 8 = $640. All 6 charities together received the whole savings, $640.", "hints": [ "First find the total given to the 4 charities: 4 x $60.", "That amount is the leftover fraction (3/8) of his savings — find the whole." ], "source": "St Joseph 2024 P4 Weighted Assessment 1 Q15", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 60x4=240, 240÷3=80, 80x8=640. He donated all his savings = $640 to the 6 charities." } ] }