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Primary 6 PSLE Mathematics Data Analysis Quiz

Free P6 PSLE Maths Data Analysis quiz, HY3 Exam version, with questions, answers, and PSLE-focused practice for Singapore students.

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Primary 6 PSLE Mathematics From Real Exams Generated by Tencent HY3 Free Updated 2026-08-17

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Questions

Primary 6 PSLE Mathematics Quiz - Data Analysis

Name: ___________________________
Class: ___________
Date: ___________
Score: ___________

Duration: 60 minutes
Total Marks: 40

Instructions:

This quiz has 20 questions on Data Analysis (Average of a Set of Data).
Section A: 10 short questions (1 mark each). Section B: 6 applied questions (2 marks each). Section C: 4 problem-solving questions (3 marks each).
Show your working clearly. Use the spaces provided.
Calculators are allowed.

Section A (Questions 1–10, 1 mark each)

1. The average of 4 numbers is 12. What is the total of the 4 numbers?

2. Find the average of 5, 9, 11, 15.

3. A set of 6 data values has total 48. What is the average?

4. The average of 3 numbers is 20. Two of them are 18 and 22. Find the third number.

5. The numbers are 10, 20, 30, 40. What is the average?

6. A class of 25 students has total test marks 1750. Find the average mark.

7. The average of 8 equal numbers is 7. What is each number?

8. Total of 5 numbers is 60. Average = ___________

9. Average of 10 numbers is 4.5. Total = ___________

10. A boy scored 80, 90, 70 in 3 tests. His average = ___________

Section B (Questions 11–16, 2 marks each)

11. The average mass of 5 children is 34 kg. One more child of mass 40 kg joins. Find the new average mass.
___________ kg

12. A shop sold an average of 15 books per day from Monday to Friday. On Saturday it sold 25 books. Find the average books sold per day for the 6 days.

13. The average of 4 numbers is 18. If one number is removed, the average of the remaining 3 numbers is 16. Find the removed number.

14. A set of data: 12, 18, x, 22 has average 19. Find x.

15. The table shows marks of 4 students:

Student	Marks
Ali	70
Bala	80
Chen	90
Dee	60

Find the average mark.

16. The average of 3 numbers is 25. The first is twice the second, and the third is 5 more than the second. Find the three numbers.
___________, ___________, ___________

Section C (Questions 17–20, 3 marks each)

17. A class has 20 students. The average score of 12 girls is 78. The average score of the whole class is 75. Find the average score of the 8 boys.

18. John kept records of the number of pages he read over 5 days: 20, 35, 25, 40, and x. His average was 30 pages per day.
(a) Find x.
(b) If he reads 50 pages on the 6th day, what is the new average?
(a) ___________
(b) ___________

19. The average monthly rainfall for the first 3 months of the year was 120 mm. The average for the next 4 months was 80 mm. Find the average monthly rainfall for the whole 7 months.
___________ mm

20. A group of 5 friends had an average age of 11 years. Two years later, one friend left and a new 9-year-old joined. The average age of the remaining 5 friends became 12 years. Find the age of the friend who left.
___________ years

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Answers

Primary 6 PSLE Mathematics Quiz - Data Analysis (Answer Key)

Total Marks: 40
Topic: Average of a Set of Data

Section A Answers (1 mark each)

1. Total = average × number = 12 × 4 = 48
Teaching note: Average = Total ÷ Count, so Total = Average × Count.

2. Total = 5 + 9 + 11 + 15 = 40; Average = 40 ÷ 4 = 10
Teaching note: Add all values, then divide by how many numbers.

3. Average = 48 ÷ 6 = 8
Teaching note: Direct use of Average = Total ÷ Count.

4. Total = 20 × 3 = 60; Third = 60 − 18 − 22 = 20
Teaching note: Find total first, then subtract known values.

5. Total = 10+20+30+40 = 100; Average = 100 ÷ 4 = 25

6. Average = 1750 ÷ 25 = 70

7. Each number = average = 7 (all equal)

8. Average = 60 ÷ 5 = 12

9. Total = 4.5 × 10 = 45

10. Total = 80+90+70 = 240; Average = 240 ÷ 3 = 80

Section B Answers (2 marks each)

11. Total of 5 = 34 × 5 = 170 kg
New total = 170 + 40 = 210 kg
New average = 210 ÷ 6 = 35 kg
Marks: 1 for total, 1 for average.

12. Mon–Fri total = 15 × 5 = 75
6-day total = 75 + 25 = 100
Average = 100 ÷ 6 = 16⅔ books (or 16.67)
Marks: 1 for total, 1 for average.

13. Total of 4 = 18 × 4 = 72
Total of 3 = 16 × 3 = 48
Removed = 72 − 48 = 24
Marks: 1 for totals, 1 for answer.

14. Total = 19 × 4 = 76
12 + 18 + 22 = 52
x = 76 − 52 = 26

15. Total = 70+80+90+60 = 300
Average = 300 ÷ 4 = 75

16. Let second = y, first = 2y, third = y+5
Total = 2y + y + (y+5) = 4y+5
Average 25 → total = 75
4y+5 = 75 → 4y = 70 → y = 17.5
Numbers: 35, 17.5, 22.5
Marks: 1 for equation, 1 for values.

Section C Answers (3 marks each)

17. Girls total = 78 × 12 = 936
Class total = 75 × 20 = 1500
Boys total = 1500 − 936 = 564
Boys average = 564 ÷ 8 = 70.5
Marks: 1 girls total, 1 class total, 1 boys avg.

18. (a) Total 5 days = 30 × 5 = 150
20+35+25+40 = 120
x = 150 − 120 = 30
(b) New total = 150 + 50 = 200
New avg = 200 ÷ 6 = 33⅓ (or 33.33)
Marks: 2 for (a), 1 for (b).

19. First 3 total = 120 × 3 = 360 mm
Next 4 total = 80 × 4 = 320 mm
7-month total = 680 mm
Average = 680 ÷ 7 = 97⅐ mm (≈97.14)
Marks: 1 each part.

20. Original total = 11 × 5 = 55
After 2 years, original 4 + new = 12 × 5 = 60
Original 4 after 2 yrs = 55 + 8 = 63
Left friend age now = 63 − (60 − 9) = 12 → left at 12 − 2 = 10 years old
Alternative: Let left age = L. (55+10−L+9)/5 = 12 → 74−L=60 → L=14 now → was 12? Check: 2 yrs later all +2: 55+10=65, minus L+2 plus 9 = 60 → L+2=14 → L=12. Actually left at 12.
Correct: 12 years old
Marks: method 2, answer 1.