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Primary 5 Mathematics Data Analysis Quiz

Free P5 Maths Data Analysis quiz, Ox Exam version, with questions, answers, and syllabus-aligned practice for Singapore students.

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Primary 5 Mathematics From Real Exams Generated by Ox Alpha Updated 2026-08-27

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Questions

Primary 5 Mathematics Quiz - Data Analysis

Name: ______________________ Class: ____________ Date: ______________ Score: ________ / 60

Topic: Data Analysis (Tables, Bar Graphs, Line Graphs, Average) Duration: 60 minutes | Total Marks: 60

Instructions:

Answer ALL 20 questions.
Show your working clearly in the spaces provided.
Do not use a calculator.
Write units in your final answers where appropriate.
Marks for each part are shown in brackets [ ].

Section A: Questions 1-5 (2 marks each, 10 marks)

Direct skills: finding averages and reading tables and graphs.

Question 1.

Find the average of the four numbers: 12, 15, 18 and 23. [2]

Question 2.

The table shows the number of books borrowed from the school library on four days.

Day	Monday	Tuesday	Wednesday	Thursday
Number of books	24	31	19	26

(a) On which day were the most books borrowed? [1] (b) How many books were borrowed in total on the four days? [1]

Question 3.

The average of 8 numbers is 25. What is the sum (total) of the 8 numbers? [2]

Question 4.

Ravi scored 72, 85, 90, 78 and 65 marks in five spelling tests. Find his average score. [2]

Question 5.

The bar graph shows the favourite sport of 45 Primary 5 pupils.

Image pending generation: chart for Q5.

How many more pupils chose Football than Swimming? [2]

Section B: Questions 6-15 (3 marks each, 30 marks)

Application: using the average relationship and interpreting graphs and tables.

Question 6.

The line graph shows the number of pens sold by a bookshop from Monday to Friday.

Image pending generation: graph for Q6.

(a) Find the total number of pens sold from Monday to Friday. [1] (b) Find the average number of pens sold per day. [2]

Question 7.

The average mass of 4 boys is 42 kg. When a fifth boy joins the group, the average mass of the 5 boys becomes 43 kg. Find the mass of the fifth boy. [3]

Question 8.

Mei Ling's average score for her first 4 mathematics tests is 80 marks. She wants her average score for all 5 tests to be 82 marks. What is the lowest score she must get on the 5th test? [3]

Question 9.

The table shows the amount of money Amir saved each month for five months.

Month	January	February	March	April	May
Savings ($)	45	38	52	40	50

(a) In which month did Amir save the least? [1] (b) Find his average monthly savings. [2]

Question 10.

The average of three numbers is 34. Two of the numbers are 28 and 41. Find the third number. [3]

Question 11.

A pupil heated water, then switched off the heat and recorded the temperature of the water every 10 minutes. The line graph shows her results.

Image pending generation: graph for Q11.

(a) What was the temperature of the water at the start? [1] (b) By how many degrees did the temperature fall from the 10th minute to the 30th minute? [1] (c) Describe the trend shown by the graph. [1]

Question 12.

The bar graph shows the favourite fruit of the 44 pupils in Class 5B.

Image pending generation: chart for Q12.

(a) Which fruit was the most popular? [1] (b) Express, in its simplest form, the fraction of pupils who chose apples. [2]

Question 13.

The average of 6 numbers is 20. One of the numbers, 30, is removed. Find the average of the remaining 5 numbers. [3]

Question 14.

The table shows the number of visitors to a zoo from Monday to Friday last week.

Day	Monday	Tuesday	Wednesday	Thursday	Friday
Visitors	350	280	420	310	440

(a) On which day were there the most visitors? [1] (b) Find the difference between the greatest and the smallest number of visitors. [1] (c) Find the average number of visitors per day. [1]

Question 15.

Team A scored an average of 24 points in each of 5 games. Team B scored a total of 130 points in 5 games. Which team had the higher average score per game, and by how many points? [3]

Section C: Questions 16-20 (4 marks each, 20 marks)

Challenge: multi-step problems combining averages with other information.

Question 16.

Mrs Tan bought 3 kg of prawns at $18 per kilogram and 2 kg of fish. The average cost of all the seafood she bought was $15 per kilogram. Find the cost of 1 kg of fish. [4]

Question 17.

The line graph shows the distance travelled by a cyclist over 4 hours.

Image pending generation: graph for Q17.

(a) How far had the cyclist travelled after $2\tfrac{1}{2}$ hours? [1] (b) Find the cyclist's average speed for the whole journey. [2] (c) State one feature of the graph that tells you the cyclist's speed was constant. [1]

Question 18.

Group X has 3 children with an average height of 130 cm. Group Y has 2 children with an average height of 140 cm. The two groups are combined into one group of 5 children. Find the average height of all 5 children. [4]

Question 19.

Class 5C surveyed how 40 pupils travel to school. Part of their table is shown below.

Way of travelling	Walk	Bus	Car	Bicycle
Number of pupils	16	12	?	?

The number of pupils who travel by car is twice the number who travel by bicycle. (a) Find the number of pupils who travel by car and the number who travel by bicycle. [2] (b) Express, in its simplest form, the fraction of pupils who walk to school. [1] (c) What percentage of the pupils travel by bus? [1]

Question 20.

The average of 10 numbers is 45. After one number is removed, the average of the remaining 9 numbers is 44. Find the number that was removed. [4]

End of Quiz

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Answers

Primary 5 Mathematics Quiz - Data Analysis: Answer Key

Total Marks: 60 | Each answer includes working and a short teaching note.

Answer 1. [2]

Step 1: Add all the numbers: $12 + 15 + 18 + 23 = 68$ .
Step 2: Divide by how many numbers there are: $68 \div 4 = 17$ .
Answer: 17
Teaching note: Average = Total ÷ Number of items. Always add first, then divide by the count.
Marking: M1 for total 68; A1 for 17.

Answer 2. [2]

(a) Compare the row: 24, 31, 19, 26. The largest is 31, on Tuesday. [1]
(b) Add all four values: $24 + 31 + 19 + 26 = 100$ . Answer: 100 books [1]
Teaching note: Tables are read cell by cell; "most" means the biggest number, not the first one you see.

Answer 3. [2]

Step 1: Use the inverse relationship: Total = Average × Number of items.
Step 2: Total $= 25 \times 8 = 200$ .
Answer: 200
Teaching note: Since Average = Total ÷ Count, multiplying back gives the Total. This "undoing" idea is used in almost every harder average problem.

Answer 4. [2]

Step 1: Add the five scores: $72 + 85 + 90 + 78 + 65 = 390$ .
Step 2: Divide by 5 tests: $390 \div 5 = 78$ .
Answer: 78 marks
Marking: M1 for 390; A1 for 78 with unit.

Answer 5

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Primary 5 Mathematics Quiz - Data Analysis: Answer Key

Total Marks: 60 | Working shown for every question.

Answer 1. [2]

Step 1: Add the numbers: $12 + 15 + 18 + 23 = 68$ .
Step 2: Divide by the count: $68 \div 4 = 17$ .
Answer: 17
Marking: M1 for 68; A1 for 17.

Answer 2. [2]

(a) The largest value is 31, on Tuesday. [1]
(b) $24 + 31 + 19 + 26 = 100$ . Answer: 100 books [1]

Answer 3. [2]

Use Total = Average × Number of items: $25 \times 8 = 200$ .
Answer: 200

Answer 4. [2]

Step 1: Add the scores: $72 + 85 + 90 + 78 + 65 = 390$ .
Step 2: $390 \div 5 = 78$ .
Answer: 78 marks

Answer 5. [2]

Football = 18 pupils; Swimming = 9 pupils.
Difference: $18 - 9 = 9$ .
Answer: 9 pupils

Answer 6. [3]

(a) $40 + 55 + 35 + 60 + 50 = 240$ . Answer: 240 pens [1]
(b) $240 \div 5 = 48$ . Answer: 48 pens per day [2]

Answer 7. [3]

Step 1: Total mass of 4 boys: $4 \times 42 = 168$ kg.
Step 2: Total mass of 5 boys: $5 \times 43 = 215$ kg.
Step 3: Fifth boy: $215 - 168 = 47$ .
Answer: 47 kg

Answer 8. [3]

Step 1: Required total for 5 tests: $5 \times 82 = 410$ marks.
Step 2: Current total: $4 \times 80 = 320$ marks.
Step 3: $410 - 320 = 90$ .
Answer: 90 marks

Answer 9. [3]

(a) The smallest value is $38, in February. [1]
(b) Total: $45 + 38 + 52 + 40 + 50 = 225$ ; $225 \div 5 = 45$ . Answer: $45 [2]

Answer 10. [3]

Step 1: Total of three numbers: $3 \times 34 = 102$ .
Step 2: Third number: $102 - 28 - 41 = 33$ .
Answer: 33

Answer 11. [3]

(a) 90 °C [1]
(b) At 10 min: 75 °C; at 30 min: 52 °C; fall: $75 - 52 = 23$ . Answer: 23 °C [1]
(c) The temperature falls over time, quickly at first and then more slowly as cooling levels off. [1]

Answer 12. [3]

(a) Apple (14 pupils) [1]
(b) Fraction $= \frac{14}{44} = \frac{7}{22}$ . Answer: $\frac{7}{22}$ [2]

Answer 13. [3]

Step 1: Original total: $6 \times 20 = 120$ .
Step 2: New total: $120 - 30 = 90$ .
Step 3: New average: $90 \div 5 = 18$ .
Answer: 18

Answer 14. [3]

(a) Friday (440 visitors) [1]
(b) $440 - 280 = 160$ . Answer: 160 visitors [1]
(c) Total: $350 + 280 + 420 + 310 + 440 = 1800$ ; $1800 \div 5 = 360$ . Answer: 360 visitors [1]

Answer 15. [3]

Team A average = 24 points. Team B average: $130 \div 5 = 26$ points.
Team B is higher by $26 - 24 = 2$ points.
Answer: Team B, by 2 points

Answer 16. [4]

Step 1: Cost of prawns: $3 \times 18 = \$ 54$.
Step 2: Required total cost: $5 \times 15 = \$ 75$.
Step 3: Cost of fish: $75 - 54 = \$ 21 $, so 1 kg costs$ 21 \div 2$.
Answer: $10.50

Answer 17. [4]

(a) Speed = 12 km/h, so distance after $2\tfrac{1}{2}$ hours: $12 \times 2.5 = 30$ . Answer: 30 km [1]
(b) $48 \div 4 = 12$ . Answer: 12 km/h [2]
(c) The graph is a straight line through the origin (constant gradient), showing constant speed. [1]

Answer 18. [4]

Step 1: Group X total: $3 \times 130 = 390$ cm.
Step 2: Group Y total: $2 \times 140 = 280$ cm.
Step 3: Combined average: $(390 + 280) \div 5 = 670 \div 5 = 134$ .
Answer: 134 cm

Answer 19. [4]

(a) Walk + Bus: $16 + 12 = 28$ ; remaining: $40 - 28 = 12$ pupils. Car : Bicycle = 2 : 1, so Bicycle = $12 \div 3 = 4$ and Car = $2 \times 4 = 8$ . Answer: 8 by car, 4 by bicycle [2]
(b) $\frac{16}{40} = \frac{2}{5}$ . Answer: $\frac{2}{5}$ [1]
(c) $\frac{12}{40} \times 100\% = 30\%$ . Answer: 30% [1]

Answer 20. [4]

Step 1: Original total: $10 \times 45 = 450$ .
Step 2: New total: $9 \times 44 = 396$ .
Step 3: Number removed: $450 - 396 = 54$ .
Answer: 54

End of Answer Key