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Primary 3 Mathematics Data Analysis Quiz
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Primary 3 Mathematics Quiz - Data Analysis
Answer Key
Section A: Reading Bar Graphs (Questions 1–10)
1. Eve [1]
- The tallest bar represents Eve with 12 books.
2. Ali [1]
- The shortest bar represents Ali with 4 books.
3. 4 books [2]
- Working: 10 − 6 = 4
- [1] for correct working, [1] for correct answer.
- Common mistake: Subtracting the wrong way (6 − 10). Ensure students identify who read more first.
4. 12 books [2]
- Working: 8 + 4 = 12
- [1] for correct working, [1] for correct answer.
5. 3 books [2]
- Working: Eve has 12, Don has 6. Difference = 12 − 6 = 6. Half of 6 = 3. Eve gives 3 books to Don. Both then have 9.
- [1] for finding the difference (6), [1] for dividing by 2 to get 3.
- Common mistake: Students may answer 6 (the full difference) instead of 3 (half the difference). Remind them that giving books reduces Eve's count and increases Don's.
6. Mango [1]
- Mangoes have the tallest bar with 20 fruits sold.
7. Apple [1]
- Apples have the shortest bar with 5 fruits sold.
8. 35 fruits [2]
- Working: 20 + 15 = 35
- [1] for correct working, [1] for correct answer.
9. 10 more mangoes [2]
- Working: 20 − 10 = 10
- [1] for correct working, [1] for correct answer.
10. 10 more mangoes [2]
- Working: 30 − 20 = 10
- [1] for correct working, [1] for correct answer.
- Common mistake: Students may add instead of subtract.
Section B: Completing and Interpreting Tables and Graphs (Questions 11–16)
11. (a) Siti [1]
- Siti has 22 stickers, the highest number.
(b) Lily [1]
- Lily has 12 stickers, the lowest number.
(c) 10 more stickers [2]
- Working: 22 − 12 = 10
- [1] for correct working, [1] for correct answer.
12. (a) Green [1]
- Green team scored 30 points, the highest.
(b) 39 points [2]
- Working: 25 + 14 = 39
- [1] for correct working, [1] for correct answer.
13. (a) 26 chocolate cupcakes [2]
- Working: 12 + 14 = 26
- [1] for correct working, [1] for correct answer.
(b) Beth [1]
- Beth sold 15 vanilla cupcakes, the most.
(c) 25 cupcakes [2]
- Working: 10 + 15 = 25
- [1] for correct working, [1] for correct answer.
- Common mistake: Students may only count one flavour. Remind them "in all" means both flavours added together.
14. (a) 8 pupils [1]
- The bar for Cats reaches 8.
(b) 8 more pupils [2]
- Working: 10 − 2 = 8
- [1] for correct working, [1] for correct answer.
(c) Dogs and Birds [2]
- Working: 5 + 6 = 11
- [1] for correct working (showing addition), [1] for correct pair.
- Accept any order: "Dogs and Birds" or "Birds and Dogs."
15. (a) Friday [1]
- Friday has 60 visitors, the highest.
(b) Tuesday [1]
- Tuesday has 38 visitors, the lowest.
(c) 135 visitors [2]
- Working: 45 + 38 + 52 = 135
- [1] for correct working, [1] for correct answer.
- Common mistake: Students may only add two days instead of three.
(d) 22 more visitors [2]
- Working: 60 − 38 = 22
- [1] for correct working, [1] for correct answer.
16. (a) Bars drawn correctly [2]
- Soccer: bar to 14, Swimming: bar to 8, Badminton: bar to 10, Running: bar to 8.
- [1] for at least 3 bars correct, [1] for all 4 bars correct.
- Bars must be neat, labelled, and reach the correct height on the scale.
(b) Soccer [1]
- Soccer has 14 pupils, the most.
(c) 16 pupils [2]
- Working: 8 + 8 = 16
- [1] for correct working, [1] for correct answer.
Section C: Data Analysis Word Problems (Questions 17–20)
17. (a) 34 stamps [2]
- Working: 24 + 10 = 34
- [1] for correct working, [1] for correct answer.
(b) 14 more stamps [2]
- Working: 30 − 16 = 14
- [1] for correct working, [1] for correct answer.
(c) 20 stamps each [3]
- Working: Total stamps = 24 + 16 + 30 + 10 = 80. 80 ÷ 4 = 20.
- [1] for finding the total (80), [1] for correct division (80 ÷ 4), [1] for correct answer (20).
- Common mistake: Students may forget to divide by the number of children (4).
18. (a) 83 eggs [2]
- Working: 48 + 35 = 83
- [1] for correct working, [1] for correct answer.
(b) 17 more eggs [2]
- Working: 52 − 35 = 17
- [1] for correct working, [1] for correct answer.
(c) 56 eggs [2]
- Working: 41 + 15 = 56
- [1] for correct working, [1] for correct answer.
19. (a) Blue [1]
- Blue received 12 votes, the most.
(b) 6 more pupils [2]
- Working: 12 − 6 = 6
- [1] for correct working, [1] for correct answer.
(c) 9/30 = 3/10 [2]
- Working: 9 out of 30 = 9/30. Simplify: divide numerator and denominator by 3 → 3/10.
- [1] for correct fraction (9/30), [1] for simplest form (3/10).
- Accept 9/30 for [1] mark if not simplified.
(d) 8 pupils; No [2]
- Working: 3 + 5 = 8. Green has 6 votes. 8 > 6, so Yes — Yellow would have more votes than Green.
- Correction: 8 > 6, so Yes, Yellow would have more votes than Green.
- [1] for correct number (8), [1] for correct comparison (Yes, 8 > 6).
- Common mistake: Students may think 5 > 6 without adding the original 3 first.
20. (a) East library [1]
- East has 310 storybooks, the most.
(b) West library [1]
- West has 155 storybooks, the fewest.
(c) 425 storybooks [2]
- Working: 240 + 185 = 425
- [1] for correct working, [1] for correct answer.
(d) 155 more storybooks [2]
- Working: 310 − 155 = 155
- [1] for correct working, [1] for correct answer.
(e) 77 or 78 books (accept 77.5, but since books are whole: 77 or 78) [3]
- Working: Difference = 310 − 155 = 155. Half of 155 = 77.5. Since we cannot move half a book, accept: move 77 books (East: 233, West: 232) or move 78 books (East: 232, West: 233). For Primary 3, the expected method is: 155 ÷ 2 = 77 remainder 1, so move 77 or 78 books.
- Simpler approach for P3: Difference = 155. Move half = 77 or 78.
- [1] for finding the difference (155), [1] for attempting to divide by 2, [1] for reasonable answer (77 or 78).
- Marking note: At P3 level, accept 77 or 78. If the student writes 77.5, accept with full marks as it shows correct reasoning. The key skill is understanding that the difference must be split equally.
Mark Summary
| Section | Questions | Marks |
|---|---|---|
| A | 1–10 | 15 |
| B | 11–16 | 23 |
| C | 17–20 | 22 |
| Total | 20 questions | 40 |
Note: Section C carries more marks per question to reflect the increased reasoning and multi-step problem-solving required.