{ "paper": { "school": "Rosyth School", "year": 2024, "level": "P4", "label": "Weighted Assessment 2", "source_prefix": "Rosyth 2024 P4 Weighted Assessment 2", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "What is the value of the digit 6 in 10 689?", "answer0": "6", "answer1": "60", "answer2": "600", "answer3": "6000", "correct_answer": 2, "skill_id": 105, "difficulty_id": 1, "explanation": "In 10 689 the digit 6 is in the hundreds place, so its value is 6 × 100 = 600.", "hints": [ "Identify which place the digit 6 sits in.", "6 is in the hundreds column: value = 6 × 100." ], "source": "Rosyth 2024 P4 Weighted Assessment 2 Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option (3) = 600." }, { "n": 2, "type_id": 1, "question": "Round 47 832 to the nearest hundred.", "answer0": "47 800", "answer1": "47 830", "answer2": "47 900", "answer3": "48 000", "correct_answer": 0, "skill_id": 109, "difficulty_id": 1, "explanation": "The digit in the tens place is 3 (less than 5), so we round down. 47 832 rounds to 47 800.", "hints": [ "Look at the tens digit to decide round up or down.", "Tens digit is 3, so round down to 47 800." ], "source": "Rosyth 2024 P4 Weighted Assessment 2 Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option (1) = 47 800." }, { "n": 3, "type_id": 1, "question": "Which of the following is not a factor of 18 and 36?", "answer0": "6", "answer1": "9", "answer2": "3", "answer3": "12", "correct_answer": 3, "skill_id": 113, "difficulty_id": 2, "explanation": "Factors of 18 are 1, 2, 3, 6, 9, 18. 12 is not a factor of 18 (it is a factor of 36 only), so 12 is not a common factor.", "hints": [ "List the factors of 18.", "12 does not divide 18 exactly." ], "source": "Rosyth 2024 P4 Weighted Assessment 2 Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option (4) = 12." }, { "n": 4, "type_id": 1, "question": "Which fraction is greater than $$\\frac{1}{2}$$?", "answer0": "$$\\frac{1}{3}$$", "answer1": "$$\\frac{2}{3}$$", "answer2": "$$\\frac{3}{7}$$", "answer3": "$$\\frac{4}{9}$$", "correct_answer": 1, "skill_id": 121, "difficulty_id": 2, "explanation": "Compare each to $$\\frac{1}{2}$$: $$\\frac{2}{3}$$ = 0.67 > 0.5. The others ($$\\frac{1}{3}$$, $$\\frac{3}{7}$$, $$\\frac{4}{9}$$) are all less than $$\\frac{1}{2}$$.", "hints": [ "A fraction is greater than $$\\frac{1}{2}$$ when the numerator is more than half the denominator.", "For $$\\frac{2}{3}$$, half of 3 is 1.5 and 2 > 1.5." ], "source": "Rosyth 2024 P4 Weighted Assessment 2 Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option (2) = 2/3." }, { "n": 5, "type_id": 1, "question": "The table shows the number of students in each class.
4A: 16 wear glasses, 24 do not.
4B: 19 wear glasses, 19 do not.
4C: 18 wear glasses, 19 do not.
4D: 17 wear glasses, 22 do not.
Which class has the most number of students?", "answer0": "4A", "answer1": "4B", "answer2": "4C", "answer3": "4D", "correct_answer": 0, "skill_id": 148, "difficulty_id": 2, "explanation": "Total per class: 4A = 16 + 24 = 40; 4B = 19 + 19 = 38; 4C = 18 + 19 = 37; 4D = 17 + 22 = 39. 4A has the most with 40.", "hints": [ "Add the two columns for each class.", "Compare the totals: 40, 38, 37, 39." ], "source": "Rosyth 2024 P4 Weighted Assessment 2 Q5", "image_needed": true, "image_options": false, "image_file": "q5.png", "image_page": 4, "image_bbox": [ 0.14, 0.4, 0.78, 0.56 ], "image_loc": "table near top-middle of page listing glasses counts for classes 4A-4D", "notes": "Key: option (1) = 4A. Table data also transcribed into stem for safety." }, { "n": 6, "type_id": 2, "question": "Find the product of 3021 and 7.", "answer0": "21147", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 116, "difficulty_id": 1, "explanation": "3021 × 7 = 21 147.", "hints": [ "Product means multiply.", "3021 × 7: 3000×7 = 21000, 21×7 = 147, total 21 147." ], "source": "Rosyth 2024 P4 Weighted Assessment 2 Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 21147." }, { "n": 7, "type_id": 2, "question": "The bar graph shows the number of stickers that 4 children collected.
How many stickers did Charlie collect?", "answer0": "65", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 148, "difficulty_id": 1, "explanation": "Reading Charlie's bar on the graph (scale of 10, with minor gridlines), the bar reaches 65 stickers.", "hints": [ "Find Charlie's bar and read it against the vertical scale.", "Each major gridline is 20; the bar is between 60 and 70." ], "source": "Rosyth 2024 P4 Weighted Assessment 2 Q7", "image_needed": true, "image_options": false, "image_file": "q7.png", "image_page": 5, "image_bbox": [ 0.11, 0.5, 0.83, 0.82 ], "image_loc": "bar graph 'Stickers collected by 4 children' in lower half of page", "notes": "Key: 65." }, { "n": 8, "type_id": 2, "question": "The table shows the number of Primary 3, 4 and 5 volleyball club members.
Primary 3: Boys = ?, Girls = 28.
Primary 4: Boys = 17, Girls = 20.
Primary 5: Boys = 19, Girls = 21.
There are as many Primary 3 members as Primary 5 members. How many Primary 3 members are boys?", "answer0": "12", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "Primary 5 total = 19 + 21 = 40, so Primary 3 total = 40. Primary 3 boys = 40 − 28 (girls) = 12.", "hints": [ "Find the total number of Primary 5 members first.", "Primary 3 has the same total; subtract the 28 girls." ], "source": "Rosyth 2024 P4 Weighted Assessment 2 Q8", "image_needed": true, "image_options": false, "image_file": "q8.png", "image_page": 6, "image_bbox": [ 0.17, 0.15, 0.76, 0.23 ], "image_loc": "small Boys/Girls table for Primary 3/4/5 near top of page", "notes": "Key: 19+21=40, 40-28=12. Table data also transcribed into stem for safety." }, { "n": 9, "type_id": 2, "question": "What is the missing number in the box?
$$\\frac{3}{4}$$ = $$\\frac{[?]}{20}$$", "answer0": "15", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 121, "difficulty_id": 1, "explanation": "To get from denominator 4 to 20, multiply by 5. So the numerator is 3 × 5 = 15. $$\\frac{3}{4} = \\frac{15}{20}$$.", "hints": [ "What do you multiply 4 by to get 20?", "Multiply the numerator 3 by the same factor (5)." ], "source": "Rosyth 2024 P4 Weighted Assessment 2 Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 15. Equivalent-fraction equation rendered in stem; single numeric blank." }, { "n": 10, "type_id": 2, "question": "Arrange the following fractions in decreasing order.
$$\\frac{7}{4}$$, $$\\frac{4}{3}$$, $$1\\frac{5}{6}$$
[?], [?], [?]", "answer0": "1 5/6", "answer1": "7/4", "answer2": "4/3", "correct_answer": null, "skill_id": 121, "difficulty_id": 2, "explanation": "Convert to twelfths: $$\\frac{7}{4}=\\frac{21}{12}$$, $$\\frac{4}{3}=\\frac{16}{12}$$, $$1\\frac{5}{6}=\\frac{11}{6}=\\frac{22}{12}$$. Decreasing order: $$1\\frac{5}{6}$$ (22/12), $$\\frac{7}{4}$$ (21/12), $$\\frac{4}{3}$$ (16/12).", "hints": [ "Convert all three to a common denominator (12).", "Largest first: 22/12, 21/12, 16/12." ], "source": "Rosyth 2024 P4 Weighted Assessment 2 Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 1 5/6, 7/4, 4/3 (decreasing). Ordering task -> FIB, one blank per position; plain fraction answers." }, { "n": 11, "type_id": 2, "question": "Amelie and Devna had the same number of sweets at first. After Amelie gave 35 sweets to her friends and Devna bought 7 more sweets, Devna had four times as many sweets as Amelie. How many sweets did Amelie have at the end?", "answer0": "14", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "Let the start amount be n. Amelie: n − 35. Devna: n + 7 = 4(n − 35). So n + 7 = 4n − 140, giving 147 = 3n, n = 49. Amelie at the end = 49 − 35 = 14. (Check: Devna = 49 + 7 = 56 = 4 × 14.)", "hints": [ "The difference between Devna and Amelie is 35 + 7 = 42 sweets.", "Devna is 4 times Amelie, so the difference is 3 units = 42; 1 unit (Amelie) = 14." ], "source": "Rosyth 2024 P4 Weighted Assessment 2 Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key working: 35+7=42, 42÷3=14 (the answer asked is Amelie's end amount = 14)." }, { "n": 12, "type_id": 2, "question": "Find the missing fraction A on the number line. Express your answer as a mixed number in its simplest form.
The marked points in order are $$\\frac{4}{5}$$, 1, A, $$\\frac{6}{5}$$, $$\\frac{7}{5}$$, $$\\frac{8}{5}$$.", "answer0": "1 1/10", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 119, "difficulty_id": 3, "explanation": "From $$\\frac{4}{5}=\\frac{8}{10}$$ to $$\\frac{6}{5}=\\frac{12}{10}$$ there are 4 equal steps, so each step is $$\\frac{1}{10}$$: $$\\frac{8}{10}, \\frac{9}{10}, 1, A, \\frac{12}{10}$$. A = $$\\frac{11}{10} = 1\\frac{1}{10}$$.", "hints": [ "Convert the labelled fractions to tenths to find the step size.", "Each tick is 1/10; A is one step above 1." ], "source": "Rosyth 2024 P4 Weighted Assessment 2 Q12", "image_needed": true, "image_options": false, "image_file": "q12.png", "image_page": 8, "image_bbox": [ 0.11, 0.16, 0.82, 0.25 ], "image_loc": "horizontal number line near top of page with A in a box between 1 and 6/5", "notes": "Key: 1 1/10. Answer mixed number plain text." }, { "n": 13, "type_id": 2, "question": "Class 4A and 4B borrowed a total of 152 books in the month of May. Class 4A borrowed thrice as many books as Class 4B. Class 4B borrowed twice as many books as Class 4C. How many books did Class 4B and 4C borrow?", "answer0": "57", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "Let 4C = 1 unit. Then 4B = 2 units and 4A = 3 × 4B = 6 units. 4A + 4B = 6 + 2 = 8 units = 152, so 1 unit = 152 ÷ 8 = 19. 4B = 2 × 19 = 38, 4C = 19. 4B + 4C = 38 + 19 = 57.", "hints": [ "Let Class 4C be 1 unit; express 4B and 4A in units.", "4A + 4B = 8 units = 152; find one unit, then add 4B and 4C." ], "source": "Rosyth 2024 P4 Weighted Assessment 2 Q13", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 152÷8=19, 19×3=57 (4B 38 + 4C 19 = 57)." }, { "n": 14, "type_id": 2, "question": "(a) The smallest factor of a number is 1. The biggest factor of the number is 18. List all the other factors of the number.
[?], [?], [?], [?]
(b) Wei Ming chose a number between 40 and 70. The number is a multiple of 7. When Janet added 2 to the number, it becomes a multiple of 5. What is the number that Wei Ming chose?
[?]", "answer0": "2", "answer1": "3", "answer2": "6", "answer3": "9", "answer4": "63", "correct_answer": null, "skill_id": 113, "difficulty_id": 2, "explanation": "(a) The number is 18 (its largest factor). Factors of 18 are 1, 2, 3, 6, 9, 18; excluding 1 and 18 the others are 2, 3, 6, 9. (b) Multiples of 7 between 40 and 70: 42, 49, 56, 63. Adding 2 gives 44, 51, 58, 65; only 65 is a multiple of 5, so the number is 63.", "hints": [ "(a) The biggest factor of a number is the number itself, so it is 18.", "(b) List multiples of 7 between 40 and 70, then check which +2 is a multiple of 5." ], "source": "Rosyth 2024 P4 Weighted Assessment 2 Q14", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two-part question combined into one FIB: blanks 0-3 = part (a) factors 2,3,6,9; blank 4 (answer4) = part (b) = 63. Key: a) 2,3,6,9 b) 65-2=63." }, { "n": 15, "type_id": 2, "question": "The line graph shows the number of students who bought their food from a stall from 8.30 am to 11 am.
(a) During which 30-min period was the increase the greatest? [?] to [?]
(b) How many more students bought their food from the stall at 9 am than 10 am? [?]", "answer0": "8.30 am", "answer1": "9.00 am", "answer2": "24", "correct_answer": null, "skill_id": 147, "difficulty_id": 2, "explanation": "(a) Readings: 8.30=31, 9.00=46, 9.30=30, 10.00=22, 10.30=34, 11.00=38. Increases over 30-min periods: 8.30→9.00 = +15 (greatest); 10.00→10.30 = +12; 10.30→11.00 = +4. So the greatest increase is from 8.30 am to 9.00 am. (b) 9 am = 46, 10 am = 22; 46 − 22 = 24 more.", "hints": [ "(a) Compare how much the line rises in each 30-minute step.", "(b) Read the value at 9 am and at 10 am, then subtract." ], "source": "Rosyth 2024 P4 Weighted Assessment 2 Q15", "image_needed": true, "image_options": false, "image_file": "q15.png", "image_page": 11, "image_bbox": [ 0.12, 0.17, 0.82, 0.42 ], "image_loc": "line graph 'Students who bought food from the stall' in upper portion of page", "notes": "Key: a) 8:30am to 9:00am b) 46-22=24. Two-part FIB; blanks 0/1 = period endpoints, blank 2 = 24." }, { "n": 16, "type_id": 2, "question": "Benny has 345 stamps. Caius has 126 stamps. How many stamps must Benny give to Caius so that Benny has 37 more stamps than Caius?", "answer0": "91", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "Total stamps = 345 + 126 = 471 (unchanged when transferred). Current difference = 345 − 126 = 219. We want Benny to have 37 more than Caius, so the difference must drop from 219 to 37, a reduction of 219 − 37 = 182. Each stamp given reduces the gap by 2, so Benny gives 182 ÷ 2 = 91 stamps.", "hints": [ "Find the current difference between Benny and Caius.", "Giving a stamp reduces the gap by 2; reduce the gap from 219 down to 37." ], "source": "Rosyth 2024 P4 Weighted Assessment 2 Q16", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 345-126=219, 219-37=182, 182÷2=91." } ] }