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Primary 6 PSLE Mathematics Data Analysis Quiz
Free P6 PSLE Maths Data Analysis quiz, HY3 AI version, with questions, answers, and PSLE-focused practice for Singapore students.
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Questions
Primary 6 PSLE Mathematics Quiz - Data Analysis
Name: ___________________________
Class: ___________________________
Date: ___________________________
Score: _______ / 40
Duration: 50 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 questions (2 marks each). Section C: 4 questions (3 marks each).
- Show your working clearly. Use blank spaces provided for answers.
- Calculators are allowed for checking only.
Section A (Questions 1–10, 1 mark each)
1. The ages of 5 children are 8, 9, 10, 11, 12. What is their average age?
Answer: ______
2. A set of 4 numbers has an average of 15. What is the total of the 4 numbers?
Answer: ______
3. The average of 3 test scores is 80. If two scores are 75 and 85, what is the third score?
Answer: ______
4. The masses (in kg) of 6 bags are 2, 3, 4, 5, 6, 8. Find the average mass.
Answer: ______
5. A group of 10 pupils has a total height of 1350 cm. What is their average height?
Answer: ______
6. The average of 8 numbers is 20. One number is removed and the new average is 19. What was the removed number?
Answer: ______
7. Tom scored 70, 80, 90 in three maths quizzes. What is his average score?
Answer: ______
8. 5 books have an average thickness of 2.4 cm. What is their total thickness?
Answer: ______
9. The average of 2, 4, 6, 8, x is 6. Find x.
Answer: ______
10. A class of 25 students has an average mark of 68. What is the total mark of the class?
Answer: ______
Section B (Questions 11–16, 2 marks each)
11. The table below shows the number of apples sold by a stall over 5 days.
| Day | Mon | Tue | Wed | Thu | Fri |
|---|---|---|---|---|---|
| Apples | 30 | 25 | 40 | 35 | 20 |
Find the average number of apples sold per day.
Answer: ______
12. A runner ran 5 km, 7 km, 8 km, 10 km, and x km in a week. His average distance was 8 km. Find x.
Answer: ______
13. The average weight of 3 boys is 45 kg. The average weight of 2 girls is 40 kg. What is the average weight of all 5 children?
Answer: ______
14. A class has 20 students. The average score in a test is 75. If 4 students with an average of 60 are excluded, what is the average of the remaining 16 students?
Answer: ______
15. The bar graph shows the number of cards owned by 4 children.
Image pending generation: graph for Q15.
Find the average number of cards per child.
Answer: ______
16. The average of 6 numbers is 14. If one number 20 is replaced by 8, what is the new average?
Answer: ______
Section C (Questions 17–20, 3 marks each)
17. A shop sold an average of 50 bottles of drink per day for 6 days. On the 7th day, the average for the whole week dropped to 48 bottles per day. How many bottles were sold on the 7th day?
Answer: ______
18. The table shows the time (minutes) 5 pupils took to finish a puzzle.
| Pupil | A | B | C | D | E |
|---|---|---|---|---|---|
| Time | 10 | 15 | x | 20 | 25 |
The average time is 18 minutes. (a) Find x. (b) If pupil E took 5 minutes more, what would the new average be?
Answer: (a) ______ (b) ______
19. A class of 30 students has an average height of 140 cm. 10 new students join and the average height becomes 138 cm. What is the average height of the 10 new students?
Answer: ______
20. The line graph shows the temperature (°C) recorded at 8am, 10am, 12pm, 2pm, 4pm.
Image pending generation: graph for Q20.
(a) Find the average temperature. (b) Which time had the highest temperature? (c) If 2pm was recorded as 30 instead of 29, what would the new average be?
Answer: (a) ______ (b) ______ (c) ______
Answers
Primary 6 PSLE Mathematics Quiz - Data Analysis (Answer Key)
Total Marks: 40
Topic: Data Analysis (Average of a set of data)
Section A Answers (1 mark each)
1. Average = (8+9+10+11+12) ÷ 5 = 50 ÷ 5 = 10.
Answer: 10 years.
Teaching note: Average = total ÷ count. Add all ages, divide by 5.
2. Total = average × count = 15 × 4 = 60.
Answer: 60.
Teaching note: Rearranging Average × Count = Total.
3. Total = 80 × 3 = 240. Third = 240 − 75 − 85 = 80.
Answer: 80.
Teaching note: Use total to find missing value.
4. Total = 2+3+4+5+6+8 = 28. Average = 28 ÷ 6 ≈ 4.67 kg.
Answer: 4.67 kg (or 28/6).
Teaching note: Divide total by 6 bags.
5. Average = 1350 ÷ 10 = 135 cm.
Answer: 135 cm.
6. Original total = 20 × 8 = 160. New total = 19 × 7 = 133. Removed = 160 − 133 = 27.
Answer: 27.
Common mistake: Forgetting new count is 7.
7. Average = (70+80+90) ÷ 3 = 240 ÷ 3 = 80.
Answer: 80.
8. Total = 2.4 × 5 = 12 cm.
Answer: 12 cm.
9. Total = 6 × 5 = 30. Sum known = 2+4+6+8=20. x = 10.
Answer: 10.
10. Total = 68 × 25 = 1700.
Answer: 1700.
Section B Answers (2 marks each)
11. Total = 30+25+40+35+20 = 150. Average = 150 ÷ 5 = 30.
Answer: 30 apples/day.
Marks: 1 for total, 1 for average.
12. Total = 8 × 5 = 40. Known sum = 5+7+8+10 = 30. x = 10.
Answer: 10 km.
13. Boys total = 45 × 3 = 135 kg. Girls total = 40 × 2 = 80 kg. All total = 215 kg. Average = 215 ÷ 5 = 43 kg.
Answer: 43 kg.
14. Original total = 75 × 20 = 1500. Excluded total = 60 × 4 = 240. Remaining total = 1260. Average = 1260 ÷ 16 = 78.75.
Answer: 78.75.
15. Total cards = 12+18+6+24 = 60. Average = 60 ÷ 4 = 15.
Answer: 15 cards.
Based on placeholder Q15-fig1: bars Ali 12, Ben 18, Cia 6, Dan 24.
16. Original total = 14 × 6 = 84. New total = 84 − 20 + 8 = 72. New average = 72 ÷ 6 = 12.
Answer: 12.
Section C Answers (3 marks each)
17. First 6 days total = 50 × 6 = 300. Week total = 48 × 7 = 336. Day 7 = 336 − 300 = 36.
Answer: 36 bottles.
Marks: 1 for 6-day total, 1 for week total, 1 for difference.
18. (a) Total = 18 × 5 = 90. Known = 10+15+20+25 = 70. x = 20.
(b) New total = 90 + 5 = 95. New average = 95 ÷ 5 = 19.
Answer: (a) 20 min (b) 19 min.
Marks: 2 for (a), 1 for (b).
19. Original total = 140 × 30 = 4200. New total = 138 × 40 = 5520. New students total = 1320. Average = 1320 ÷ 10 = 132 cm.
Answer: 132 cm.
Marks: 1 each step.
20. (a) Total = 24+27+31+29+26 = 137. Average = 137 ÷ 5 = 27.4°C.
(b) Highest at 12pm (31°C).
(c) Adjusted total = 137 − 29 + 30 = 138. New avg = 138 ÷ 5 = 27.6°C.
Answer: (a) 27.4°C (b) 12pm (c) 27.6°C.
Marks: 1 per part. Based on Q20-fig1 values.
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