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Primary 4 Mathematics Data Analysis Quiz
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Questions
Primary 4 Mathematics Quiz - Data Analysis
Name: __________________________ Class: ______________ Date: ______________ Score: ____ / 30
Duration: 40 minutes
Total Marks: 30
Instructions:
- Answer ALL questions.
- Show your working clearly in the space provided.
- Write your answers in the blanks where given.
- Do not use a calculator.
- Read each question carefully before answering.
Section A: Tables and Data Interpretation (Questions 1–8)
Questions 1 to 8 are based on the table below.
The table shows the number of books read by five Primary 4 students during the June holidays.
| Student | Fiction | Non-Fiction | Comics | Poetry | Total |
|---|---|---|---|---|---|
| Aisha | 12 | 8 | 15 | 5 | 40 |
| Ben | 9 | 11 | 18 | 2 | 40 |
| Chloe | 14 | 6 | 10 | 10 | 40 |
| David | 7 | 13 | 12 | 8 | 40 |
| Elena | 10 | 10 | 14 | 6 | 40 |
1. How many fiction books did Aisha and Ben read altogether? (1 mark)
______________________________________________________________________
2. Which student read the most comics? (1 mark)
______________________________________________________________________
3. How many more non-fiction books did David read than Chloe? (1 mark)
______________________________________________________________________
4. What is the total number of poetry books read by all five students? (2 marks)
______________________________________________________________________
5. Elena read 4 more fiction books than she did poetry books. Verify this statement using data from the table. Show your working. (2 marks)
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6. The students want to find the average number of fiction books read per student. Calculate the average. (2 marks)
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7. A new student, Farhan, joins the group. He reads 16 fiction books, 9 non-fiction books, 11 comics, and 4 poetry books. (3 marks)
(a) What is the total number of books Farhan read? (1 mark)
______________________________________________________________________
(b) After including Farhan, what is the new average number of books read per student? Round your answer to the nearest whole number. (2 marks)
______________________________________________________________________
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8. The school librarian wants to display the data using a bar graph. She uses a scale where 1 unit on the vertical axis represents 2 books. How many units high should the bar for Ben's comics be? (2 marks)
______________________________________________________________________
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Section B: Line Graphs (Questions 9–14)
Questions 9 to 14 are based on the line graph below.
The line graph shows the temperature (°C) in Singapore recorded at different times on a Monday.
Temperature (°C)
|
35 |
|
34 | *
| * *
33 | * *
| * *
32 | * * *
| * * *
31 | * *
| *
30 | *
| *
29 | *
|*
28 |
|________________________________________________
6am 7am 8am 9am 10am 11am 12pm 1pm 2pm 3pm
Time
9. What was the temperature at 6 a.m.? (1 mark)
______________________________________________________________________
10. What was the temperature at 12 p.m.? (1 mark)
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11. During which time interval did the temperature increase the most? (1 mark)
______________________________________________________________________
12. What was the difference between the highest and lowest temperatures recorded? (2 marks)
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13. At what time was the temperature 31°C? (Give one possible answer.) (1 mark)
______________________________________________________________________
14. A weather reporter said, "The temperature rose steadily from 6 a.m. to 12 p.m." Is this statement accurate? Explain your answer using data from the graph. (2 marks)
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Section C: Pie Charts and Data Reasoning (Questions 15–20)
Questions 15 to 18 are based on the pie chart below.
The pie chart shows the favourite fruits of 60 Primary 4 students.
__________
.' '.
.' Apples '.
.' (30%) '.
/ \
/ Oranges \
| (25%) |
| |
| Bananas Grapes |
| (20%) (15%) |
\ /
\ Durian /
`. (10%) .'
`. .'
`............'
15. How many students chose oranges as their favourite fruit? (2 marks)
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16. How many more students chose apples than grapes? (2 marks)
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17. What fraction of the students chose bananas? Give your answer in its simplest form. (2 marks)
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18. If 5 more students joined the survey and all 5 chose durian, what percentage of the new total would have chosen durian? Round your answer to the nearest whole number. (3 marks)
______________________________________________________________________
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Questions 19 and 20 are standalone data reasoning questions.
19. The table below shows the number of visitors to the Singapore Zoo over four months.
| Month | Number of Visitors |
|---|---|
| January | 45,230 |
| February | 38,750 |
| March | 52,100 |
| April | 41,980 |
(a) In which month did the zoo have the most visitors? (1 mark)
______________________________________________________________________
(b) Round the number of visitors in March to the nearest thousand. (1 mark)
______________________________________________________________________
(c) What is the difference between the highest and lowest number of visitors? (2 marks)
______________________________________________________________________
______________________________________________________________________
20. A class conducted a survey on favourite hobbies. The results are shown below.
| Hobby | Number of Students |
|---|---|
| Reading | 10 |
| Sports | 15 |
| Music | 8 |
| Art | 7 |
(a) Draw a bar graph to represent this data on the grid below. Use a scale of 1 unit = 2 students. (3 marks)
Number of Students
|
16 |
|
14 |
|
12 |
|
10 |
|
8 |
|
6 |
|
4 |
|
2 |
|
0 |________________________________________________
Reading Sports Music Art
Hobby
(b) What percentage of the class chose Sports? (2 marks)
______________________________________________________________________
______________________________________________________________________
End of Quiz
Check your work carefully before submitting.
Answers
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.