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Primary 4 Mathematics Data Analysis Quiz
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Primary 4 Mathematics Quiz - Data Analysis
Answer Key
Section A: Tables and Data Interpretation
Question 1 (1 mark)
- Answer: 21
- Working: Aisha's fiction books = 12, Ben's fiction books = 9. Total = 12 + 9 = 21
- Marking note: Award 1 mark for the correct answer. No working required for 1-mark questions.
Question 2 (1 mark)
- Answer: Ben
- Working: Comics column: Aisha = 15, Ben = 18, Chloe = 10, David = 12, Elena = 14. The highest value is 18 (Ben).
- Marking note: Award 1 mark for "Ben" only.
Question 3 (1 mark)
- Answer: 7
- Working: David's non-fiction = 13, Chloe's non-fiction = 6. Difference = 13 − 6 = 7
- Marking note: Award 1 mark for the correct answer.
Question 4 (2 marks)
- Answer: 31
- Working: Poetry column: Aisha = 5, Ben = 2, Chloe = 10, David = 8, Elena = 6. Total = 5 + 2 + 10 + 8 + 6 = 31
- Marking note: Award 2 marks for correct answer with or without working. Award 1 mark if the student adds correctly but makes one arithmetic error (e.g., writes 30 or 32).
Question 5 (2 marks)
- Answer: Yes, the statement is correct. Elena read 10 fiction books and 6 poetry books. 10 − 6 = 4.
- Working: From the table: Elena's fiction = 10, Elena's poetry = 6. Difference = 10 − 6 = 4. Since the difference is 4, the statement is verified.
- Marking note: Award 2 marks for correct verification with working. Award 1 mark for correct numbers extracted from the table but incomplete or missing subtraction.
Question 6 (2 marks)
- Answer: 10.4 (or 10 if rounding to nearest whole number, but accept 10.4)
- Working: Fiction books: Aisha = 12, Ben = 9, Chloe = 14, David = 7, Elena = 10. Sum = 12 + 9 + 14 + 7 + 10 = 52. Average = 52 ÷ 5 = 10.4
- Marking note: Award 2 marks for correct answer. Award 1 mark for correct sum (52) but incorrect or missing division. Accept 10.4 or 10½.
Question 7 (3 marks)
(a) (1 mark)
- Answer: 40
- Working: 16 + 9 + 11 + 4 = 40
- Marking note: Award 1 mark for correct total.
(b) (2 marks)
- Answer: 40
- Working: Original total for 5 students = 40 × 5 = 200. Farhan's total = 40. New total = 200 + 40 = 240. Number of students = 6. New average = 240 ÷ 6 = 40
- Marking note: Award 2 marks for correct answer with working. Award 1 mark for correct method with arithmetic error, or for finding the new total (240) but not completing the division.
Question 8 (2 marks)
- Answer: 9 units
- Working: Ben read 18 comics. Scale: 1 unit = 2 books. Height = 18 ÷ 2 = 9 units
- Marking note: Award 2 marks for correct answer. Award 1 mark for correct division setup (18 ÷ 2) with wrong final answer.
Section B: Line Graphs
Question 9 (1 mark)
- Answer: 28°C
- Working: From the graph, at 6 a.m. the temperature is at the lowest point, which is 28°C.
- Marking note: Award 1 mark for 28°C. Accept 28 without unit for 1 mark.
Question 10 (1 mark)
- Answer: 34°C
- Working: From the graph, at 12 p.m. the temperature reaches the highest point, which is 34°C.
- Marking note: Award 1 mark for 34°C. Accept 34 without unit for 1 mark.
Question 11 (1 mark)
- Answer: 8 a.m. to 9 a.m. (or 9 a.m. to 10 a.m.)
- Working: The steepest part of the graph (greatest increase) appears between 8 a.m. and 9 a.m. where the temperature rises from approximately 30°C to 32°C (a 2°C increase in one hour). Accept any one-hour interval where the increase is greatest based on the graph.
- Marking note: Award 1 mark for identifying the correct time interval. Accept "8 a.m. to 9 a.m." or "9 a.m. to 10 a.m." based on graph reading.
Question 12 (2 marks)
- Answer: 6°C
- Working: Highest temperature = 34°C (at 12 p.m.). Lowest temperature = 28°C (at 6 a.m.). Difference = 34 − 28 = 6°C
- Marking note: Award 2 marks for correct answer. Award 1 mark for identifying both highest and lowest values correctly but making a subtraction error.
Question 13 (1 mark)
- Answer: 9 a.m. (or 11 a.m.)
- Working: From the graph, the temperature line passes through 31°C at approximately 9 a.m. (on the way up) and again at approximately 11 a.m. (on the way down). Accept either answer.
- Marking note: Award 1 mark for either 9 a.m. or 11 a.m.
Question 14 (2 marks)
- Answer: Yes, the statement is accurate. The temperature at 6 a.m. was 28°C and it increased to 34°C at 12 p.m. The graph shows a steady upward trend from 6 a.m. to 12 p.m. with no decreases during this period.
- Working: From the graph: 6 a.m. = 28°C, 7 a.m. = 29°C, 8 a.m. = 30°C, 9 a.m. = 31°C, 10 a.m. = 32°C, 11 a.m. = 33°C, 12 p.m. = 34°C. The temperature increases by approximately 1°C each hour, showing a steady rise.
- Marking note: Award 2 marks for "Yes" with correct explanation referencing data from the graph. Award 1 mark for "Yes" with incomplete or vague explanation. Award 0 marks for "No" regardless of explanation.
Section C: Pie Charts and Data Reasoning
Question 15 (2 marks)
- Answer: 15 students
- Working: Oranges = 25% of 60 students. 25% × 60 = 25/100 × 60 = 15 students
- Marking note: Award 2 marks for correct answer. Award 1 mark for correct method (25% × 60 or equivalent) with arithmetic error.
Question 16 (2 marks)
- Answer: 9 students
- Working: Apples = 30% of 60 = 18 students. Grapes = 15% of 60 = 9 students. Difference = 18 − 9 = 9 students
- Marking note: Award 2 marks for correct answer. Award 1 mark for finding both values (18 and 9) but not subtracting, or for correct method with one arithmetic error.
Question 17 (2 marks)
- Answer: 1/5
- Working: Bananas = 20%. 20% = 20/100 = 1/5 (simplified by dividing numerator and denominator by 20)
- Marking note: Award 2 marks for 1/5. Award 1 mark for 20/100 (not simplified) or 2/10 (partially simplified). Do not accept 20% as a final answer since the question asks for a fraction.
Question 18 (3 marks)
- Answer: 15%
- Working: Original durian = 10% of 60 = 6 students. New durian count = 6 + 5 = 11. New total students = 60 + 5 = 65. Percentage = 11/65 × 100 = 16.92...% ≈ 17% (rounded to nearest whole number)
- Marking note: Award 3 marks for correct answer (17%) with complete working. Award 2 marks for correct method with minor arithmetic error. Award 1 mark for finding the original number of durian students (6) or the new total (65) but not completing the calculation. Note: 16.92% rounds to 17%, not 15%.
Correction: The answer is 17%, not 15%. The working above is correct: 11 ÷ 65 × 100 = 16.92% ≈ 17%.
Question 19 (4 marks total)
(a) (1 mark)
- Answer: March
- Working: Comparing all values: 52,100 is the highest. This is in March.
- Marking note: Award 1 mark for "March".
(b) (1 mark)
- Answer: 52,000
- Working: 52,100 rounded to the nearest thousand: look at the hundreds digit (1). Since 1 < 5, round down. 52,100 ≈ 52,000
- Marking note: Award 1 mark for 52,000.
(c) (2 marks)
- Answer: 13,350
- Working: Highest = 52,100 (March). Lowest = 38,750 (February). Difference = 52,100 − 38,750 = 13,350
- Marking note: Award 2 marks for correct answer. Award 1 mark for identifying both highest and lowest values correctly but making a subtraction error.
Question 20 (5 marks total)
(a) (3 marks)
- Answer: Bar graph with correct heights:
- Reading: 10 students → 10 ÷ 2 = 5 units high
- Sports: 15 students → 15 ÷ 2 = 7.5 units high
- Music: 8 students → 8 ÷ 2 = 4 units high
- Art: 7 students → 7 ÷ 2 = 3.5 units high
- Marking note: Award 3 marks for all four bars correctly drawn with correct heights. Award 2 marks for three correct bars. Award 1 mark for two correct bars. Deduct 1 mark if the student uses an incorrect scale (e.g., 1 unit = 1 student instead of 1 unit = 2 students).
(b) (2 marks)
- Answer: 37.5%
- Working: Total students = 10 + 15 + 8 + 7 = 40. Sports = 15. Percentage = 15/40 × 100 = 37.5%
- Marking note: Award 2 marks for correct answer. Award 1 mark for correct fraction (15/40) but not converting to percentage, or for correct method with arithmetic error. Accept 37.5% or 38% if student rounds.
Summary of Marks
| Question | Marks | Topic Focus |
|---|---|---|
| 1 | 1 | Reading tables, addition |
| 2 | 1 | Reading tables, comparison |
| 3 | 1 | Reading tables, subtraction |
| 4 | 2 | Reading tables, column total |
| 5 | 2 | Data verification, subtraction |
| 6 | 2 | Average calculation |
| 7(a) | 1 | Addition |
| 7(b) | 2 | Average with new data, rounding |
| 8 | 2 | Scale interpretation |
| 9 | 1 | Reading line graphs |
| 10 | 1 | Reading line graphs |
| 11 | 1 | Interpreting trends in line graphs |
| 12 | 2 | Finding range from line graph |
| 13 | 1 | Reading intermediate values |
| 14 | 2 | Evaluating statements using graph data |
| 15 | 2 | Percentage of a total |
| 16 | 2 | Percentage comparison |
| 17 | 2 | Converting percentage to fraction |
| 18 | 3 | Percentage change with new data |
| 19(a) | 1 | Reading tables, comparison |
| 19(b) | 1 | Rounding to nearest thousand |
| 19(c) | 2 | Finding range from table data |
| 20(a) | 3 | Drawing bar graph with scale |
| 20(b) | 2 | Percentage calculation |
| Total | 30 |
This quiz was generated as syllabus-aligned practice content. It is not derived from past-year examination papers.