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Primary 6 PSLE Mathematics Data Analysis Quiz
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Questions
TuitionGoWhere Primary School (AI)
Primary 6 Mathematics - Data Analysis
Quiz 01 | PSLE Preparation
Name: _________________________ Date: _____________ Score: ___ / 50
Section A: Multiple Choice Questions (2 marks each)
Use the following data for Questions 1-3: Number of books read by 10 students: 4, 7, 3, 5, 8, 6, 5, 9, 5, 8
1. What is the mode of the data?
- A) 4
- B) 5
- C) 7
- D) 8
2. What is the median of the data?
- A) 5
- B) 5.5
- C) 6
- D) 6.5
3. What is the mean (average) number of books read?
- A) 5
- B) 5.5
- C) 6
- D) 6.5
4. In a pie chart showing how a student spends 24 hours, the sector for sleep shows 120°. How many hours does the student sleep?
- A) 6 hours
- B) 8 hours
- C) 10 hours
- D) 12 hours
5. The range of a set of data is 15. If the smallest value is 23, what is the largest value?
- A) 8
- B) 38
- C) 15
- D) 46
Section B: Short Answer Questions (3 marks each)
6. Find the mean of: 12, 15, 18, 21, 24
7. The heights of 7 students in cm are: 142, 138, 145, 150, 138, 147, 140. Find the mode and range.
8. In a bar graph, one unit represents 5 students. If a bar is 8 units tall, how many students does it represent?
9. The mean of 4 numbers is 25. Three of the numbers are 20, 22, and 28. What is the fourth number?
10. Arrange the data in order and find the median: 67, 54, 78, 45, 89, 72, 61
Section C: Problem Solving (4 marks each)
Use the following table for Questions 11-12:
| Day | Monday | Tuesday | Wednesday | Thursday | Friday |
|---|---|---|---|---|---|
| Books sold | 45 | 38 | 52 | 41 | 64 |
11. (a) What was the total number of books sold in the week? (b) What was the average number of books sold per day?
12. (a) On which day were the most books sold? (b) What is the difference between the highest and lowest sales?
13. The mean score of 5 students in a test is 72. When a sixth student joins the group, the mean becomes 74. What score did the sixth student get?
14. A class of 30 students took a survey on their favorite fruits. The results are shown:
- Apple: 8 students
- Orange: 12 students
- Banana: 6 students
- Grapes: 4 students
If this data is shown in a pie chart, what angle represents oranges?
15. The table shows marks scored by students:
| Marks | 60-69 | 70-79 | 80-89 | 90-100 |
|---|---|---|---|---|
| Students | 5 | 12 | 8 | 5 |
(a) How many students scored 70 marks and above? (b) What fraction of students scored below 80?
Section D: Challenging Problems (5 marks each)
16. The mean of five numbers is 18. When a sixth number is added, the mean becomes 20. When a seventh number is added, the mean becomes 22. What are the sixth and seventh numbers?
17. A group of students recorded their travel time to school (in minutes): 15, 20, 25, 30, 35, 40, 25, 30, 20, 25, 35, 30, 25, 20, 30
(a) Organize this data in a frequency table. (b) Find the mode. (c) Find the mean travel time.
End of Quiz
Answers
TuitionGoWhere Primary School (AI)
Primary 6 Mathematics - Data Analysis
Quiz 01 | Answer Key
Section A: Multiple Choice Questions (2 marks each)
1. B) 5
5 appears 3 times, more than any other number
2. B) 5.5
Arranged: 3, 4, 5, 5, 5, 6, 7, 8, 8, 9 Median = (5 + 6) ÷ 2 = 5.5
3. C) 6
Sum = 4+7+3+5+8+6+5+9+5+8 = 60 Mean = 60 ÷ 10 = 6
4. B) 8 hours
120° ÷ 360° × 24 hours = 8 hours
5. B) 38
Largest = Smallest + Range = 23 + 15 = 38
Section B: Short Answer Questions (3 marks each)
6. 18
Sum = 12+15+18+21+24 = 90 Mean = 90 ÷ 5 = 18
7. Mode: 138 cm; Range: 12 cm
Mode: 138 appears twice Range: 150 - 138 = 12 cm
8. 40 students
8 × 5 = 40 students
9. 30
Total of 4 numbers = 25 × 4 = 100 Fourth number = 100 - 20 - 22 - 28 = 30
10. Median: 67
Arranged: 45, 54, 61, 67, 72, 78, 89 Median (middle value) = 67
Section C: Problem Solving (4 marks each)
11.
- (a) 240 books
- (b) 48 books
(a) 45+38+52+41+64 = 240 books (b) 240 ÷ 5 = 48 books
12.
- (a) Friday
- (b) 26 books
(a) Friday had highest sales (64) (b) 64 - 38 = 26 books
13. 84 marks
Total for 5 students = 72 × 5 = 360 Total for 6 students = 74 × 6 = 444 Sixth student = 444 - 360 = 84
14. 144°
Orange: 12/30 × 360° = 144°
15.
- (a) 25 students
- (b) 17/30
(a) 12 + 8 + 5 = 25 students (b) 5 + 12 = 17 students; Fraction = 17/30
Section D: Challenging Problems (5 marks each)
16. Sixth number: 30; Seventh number: 34
Sum of 5 numbers = 18 × 5 = 90 Sum of 6 numbers = 20 × 6 = 120 Sixth number = 120 - 90 = 30 Sum of 7 numbers = 22 × 7 = 154 Seventh number = 154 - 120 = 34
17. (a) Frequency table:
| Time (min) | 15 | 20 | 25 | 30 | 35 | 40 |
|---|---|---|---|---|---|---|
| Frequency | 1 | 3 | 4 | 4 | 2 | 1 |
(b) Mode: 25 minutes and 30 minutes (bimodal)
(c) Mean: 26⅔ minutes (or approximately 26.67 minutes)
Sum = 15+60+100+120+70+40 = 405 Mean = 405 ÷ 15 = 27 minutes
Marking Scheme
| Section | Questions | Marks per Question | Total |
|---|---|---|---|
| A | 1-5 | 2 | 10 |
| B | 6-10 | 3 | 15 |
| C | 11-15 | 4 | 20 |
| D | 16-17 | 5 | 10 |
| Total | 55 |
End of Answer Key