AI Generated Quiz

Primary 6 PSLE Mathematics Data Analysis Quiz

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

These static practice materials are generated from the site's syllabus and paper-generation workflow, with source and model context shown so students and parents can evaluate the material before use.

Primary 6 PSLE Mathematics AI Generated Generated by Ox Alpha Updated 2026-08-27

Back to Subject Browse Free Exam Papers

Questions

Primary 6 PSLE Mathematics Quiz - Data Analysis

Syllabus-aligned practice set built from LLM-inferred templates. This set is not derived from actual past-year examination papers.

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

Duration: 70 minutes | Total Marks: 60

Instructions:

Answer all 20 questions in the spaces provided.
Show your working clearly. Marks are given for method as well as final answers.
Include units in your final answers where applicable.
Calculators are not required.

Section A: Short Questions (Questions 1–5) — 2 marks each (10 marks)

Question 1.

Find the average of the following five numbers:

$12,\quad 18,\quad 24,\quad 9,\quad 27$

[2]

Question 2.

The average mass of 8 identical packets is 250 g. What is the total mass of all 8 packets? Give your answer in grams.

[2]

Question 3.

The table shows the number of books four pupils read in one term.

Pupil	Books read
Amy	14
Ben	11
Cai Ling	16
Dev	7

Find the average number of books read by the four pupils.

[2]

Image pending generation: chart for Q4.

Question 4.

The bar graph shows the number of drinks sold at a school canteen from Monday to Friday. Find the difference between the number of drinks sold on the best day and the number sold on the worst day.

[2]

Question 5.

The average of three numbers is 20. Two of the numbers are 16 and 25. Find the third number.

[2]

Section B: Structured Questions (Questions 6–15) — 3 marks each (30 marks)

Question 6.

Ravi's average score for 6 Mathematics tests was 78. His score for one test, 68, was removed from the records by mistake. What is the average of the remaining 5 test scores?

[3]

Image pending generation: graph for Q7.

Question 7.

The line graph shows the temperature recorded at a weather station at five different times of a day. Find the average temperature for these five readings.

[3]

Question 8.

The average mass of 4 boys was 48 kg. One boy left the group and the average mass of the remaining 3 boys became 50 kg. Find the mass of the boy who left.

[3]

Image pending generation: chart for Q9.

Question 9.

The pie chart shows the favourite sports of 240 pupils.

(a) How many pupils chose Badminton? [1]

(b) How many more pupils chose Soccer than Swimming? [2]

Question 10.

Group A has 20 pupils with an average height of 150 cm. Group B has 30 pupils with an average height of 145 cm. Find the average height of all 50 pupils.

[3]

Question 11.

The average of the four numbers 23, 31, 19 and $x$ is 26. Find the value of $x$ .

[3]

Question 12.

The average cost of 5 items is $18. A sixth item is added and the average cost of the 6 items becomes$ 19.50. Find the cost of the sixth item.

[3]

Image pending generation: chart for Q13.

Question 13.

The bar graph shows the number of books borrowed from a school library from Monday to Friday. Find the average number of books borrowed per day for the five days.

[3]

Question 14.

The average age of Ravi and his 3 friends is 13 years. Ravi is 10 years old. Find the average age of the 3 friends.

[3]

Question 15.

A delivery van travelled 120 km in the first 2 hours of a journey and 180 km in the next 3 hours. Find its average speed for the whole journey.

[3]

Section C: Problem Solving (Questions 16–20) — 4 marks each (20 marks)

Question 16.

A bakery recorded its daily cupcake sales. The average number of cupcakes sold per day for the first 4 days was 85. The average number of cupcakes sold per day for the first 5 days was 88. How many cupcakes were sold on the 5th day?

[4]

Question 17.

A fruit seller had 6 watermelons with an average mass of 3.4 kg. He removed one watermelon of mass 4.8 kg and replaced it with a heavier one. The average mass of the 6 watermelons then became 3.6 kg. Find the mass of the new watermelon.

[4]

Question 18.

The table shows the number of loaves of bread a shop sold from Monday to Friday.

Day	Loaves sold
Monday	96
Tuesday	84
Wednesday	?
Thursday	?
Friday	120

The shop sold the same number of loaves on Wednesday and Thursday. The average number of loaves sold per day for the five days was 100. How many loaves were sold on Wednesday?

[4]

Image pending generation: chart for Q19.

Question 19.

The pie chart shows how 720 pupils travel home after school.

(a) How many pupils walk home? [2]

(b) How many more pupils travel by car than by bus? [2]

Question 20.

The average of 10 numbers is 46. The average of the first 4 numbers is 52, and the average of the last 5 numbers is 44. Find the remaining number (the 5th number in the list).

[4]

End of Quiz

Free quiz and exam paper access

Enter your details to view this paper

Your access is remembered on this device.

Answers

Answers - Primary 6 PSLE Mathematics Quiz - Data Analysis

Key idea used throughout: $\text{Average} = \dfrac{\text{Total}}{\text{Number of data}}$ , so $\text{Total} = \text{Average} \times \text{Number of data}$ .

Answer 1.

Sum $= 12 + 18 + 24 + 9 + 27 = 90$ Average $= 90 \div 5 =$ 18 [2] Teaching note: Add all values first, then divide by the count (5). Common mistake: dividing by the largest value or miscounting the number of values.

Answer 2.

Total $= 250 \times 8 =$ 2000 g [2] Teaching note: Rearrange Average × Count = Total. Units must be grams. Common mistake: multiplying by 5 or writing 2 without units.

Answer 3.

Total $= 14 + 11 + 16 + 7 = 48$ Average $= 48 \div 4 =$ 12 books [2] Teaching note: Read each row of the table carefully; all four pupils count, even the smallest value.

Answer 4.

From the graph: Wednesday (best) = 60 drinks; Thursday (worst) = 25 drinks. Difference $= 60 - 25 =$ 35 drinks [2: M1 for reading both values correctly, A1 for difference] Expected visual: bars at 45, 30, 60, 25, 50 with y-axis to 70. Common mistake: subtracting adjacent bars instead of highest minus lowest.

Answer 5.

Total of 3 numbers $= 20 \times 3 = 60$ Third number $= 60 - 16 - 25 = 60 - 41 =$ 19 [2] Teaching note: Multiply the average by the count to get the total, then subtract the known values. Common mistake: subtracting from 20 instead of from the total 60.

Answer 6.

Total of 6 tests $= 78 \times 6 = 468$ New total $= 468 - 68 = 400$ New average $= 400 \div 5 =$ 80 [3: M1 total, M1 removal, A1 average] Teaching note: Removing a low score raises the average — check your answer makes sense. Common mistake: dividing by 6 again instead of 5.

Answer 7.

Sum of temperatures $= 24 + 28 + 33 + 35 + 30 = 150$ °C Average $= 150 \div 5 =$ 30°C [3: M1 reading values, M1 sum, A1 average] Expected visual: points at (8 a.m., 24), (10 a.m., 28), (12 p.m., 33), (2 p.m., 35), (4 p.m., 30). Common mistake: misreading gridlines between labelled steps.

Answer 8.

Original total $= 48 \times 4 = 192$ kg New total $= 50 \times 3 = 150$ kg Mass of boy who left $= 192 - 150 =$ 42 kg [3: M1, M1, A1] Teaching note: Compare the two totals. The leaver must be lighter than 48 kg since the average rose when he left — use this to check.

Answer 9.

(a) Badminton: $20\%$ of $240 = \frac{20}{100} \times 240 =$ 48 pupils [1]

(b) Difference $= 40\% - 25\% = 15\%$ of 240 $= \frac{15}{100} \times 240 =$ 36 pupils [2: M1 percentage difference, A1 value] Teaching note: With pie charts, compare percentages first, then convert once. Common mistake: finding each amount separately and subtracting wrongly (96 − 60 = 36 works too, but the percentage method is faster).

Answer 10.

Group A total $= 150 \times 20 = 3000$ cm Group B total $= 145 \times 30 = 4350$ cm Overall average $= (3000 + 4350) \div 50 = 7350 \div 50 =$ 147 cm [3: M1, M1, A1] Teaching note: Never average the two averages (148 is wrong) unless group sizes are equal. Always rebuild the totals first.

Answer 11.

Total of 4 numbers $= 26 \times 4 = 104$ $x = 104 - 23 - 31 - 19 = 104 - 73 =$ 31 [3: M1, M1, A1] Teaching note: Work backwards from the average to the total. Check: $(23+31+19+31)\div 4 = 104 \div 4 = 26$ . ✓

Answer 12.

Original total $= 18 \times 5 = \$ 90 $New total$ = 19.50 \times 6 = $117 $Cost of 6th item$ = 117 - 90 = $**$ 27** [3: M1, M1, A1] Teaching note: The new item must pull the average up, so it costs more than $18 — check against this. Common mistake: forgetting the total changed from 5 items to 6.

Answer 13.

Total $= 40 + 55 + 35 + 50 + 70 = 250$ Average $= 250 \div 5 =$ 50 books [3: M1 reading, M1 sum, A1 average] Expected visual: bars at 40, 55, 35, 50, 70. Common mistake: counting only weekdays shown incorrectly or arithmetic slip in the sum.

Answer 14.

Total age of 4 people $= 13 \times 4 = 52$ years Total age of 3 friends $= 52 - 10 = 42$ years Average $= 42 \div 3 =$ 14 years [3: M1, M1, A1] Teaching note: Remove Ravi's age from the total before finding the friends' average. Since Ravi is below average, the friends' average (14) must exceed 13 — a useful check.

Answer 15.

Total distance $= 120 + 180 = 300$ km Total time $= 2 + 3 = 5$ h Average speed $= 300 \div 5 =$ 60 km/h [3: M1, M1, A1] Teaching note: Average speed uses total distance ÷ total time, never the average of 60 km/h and 60 km/h blindly — always rebuild totals.

Answer 16.

First 4 days: $85 \times 4 = 340$ cupcakes First 5 days: $88 \times 5 = 440$ cupcakes 5th day: $440 - 340 =$ 100 cupcakes [4: M1, M1, M1 subtraction, A1 with unit] Teaching note: Each total comes from Average × Count. The 5th-day sales are simply the extra amount added to reach the new total. Common mistake: using 85 × 5 or 88 × 4.

Answer 17.

Original total $= 3.4 \times 6 = 20.4$ kg Remaining 5 melons $= 20.4 - 4.8 = 15.6$ kg New total $= 3.6 \times 6 = 21.6$ kg New watermelon $= 21.6 - 15.6 =$ 6 kg [4: M1, M1, M1, A1 with unit] Teaching note: Removing then replacing changes only one melon, so compare totals. The new melon must exceed 4.8 kg since the average rose — check confirms 6 > 4.8. ✓

Answer 18.

Total for 5 days $= 100 \times 5 = 500$ loaves Known total $= 96 + 84 + 120 = 300$ loaves Wednesday + Thursday $= 500 - 300 = 200$ loaves Wednesday $= 200 \div 2 =$ 100 loaves [4: M1, M1, M1, A1] Teaching note: Equal unknown values mean splitting their combined total equally. Verify: $(96+84+100+100+120)\div 5 = 500 \div 5 = 100$ . ✓

Answer 19.

(a) Walk: $25\%$ of $720 = \frac{25}{100} \times 720 =$ 180 pupils [2: M1, A1]

(b) Difference $= 35\% - 20\% = 15\%$ of 720 $= \frac{15}{100} \times 720 =$ 108 pupils [2: M1, A1] Expected visual: sectors Car 35%, Bus 20

<stage5_quiz_answers_md>

Answers - Primary 6 PSLE Mathematics Quiz - Data Analysis

Key idea: $\text{Average} = \dfrac{\text{Total}}{\text{Count}}$ , so $\text{Total} = \text{Average} \times \text{Count}$ .

Answer 1.

Sum $= 12 + 18 + 24 + 9 + 27 = 90$ Average $= 90 \div 5 =$ 18 [2] Teaching note: Add all values first, then divide by the count (5). Common mistake: miscounting the number of values.

Answer 2.

Total $= 250 \times 8 =$ 2000 g [2] Teaching note: Rearrange Average × Count = Total. Units must be grams. Common mistake: multiplying by 5 or omitting units.

Answer 3.

Total $= 14 + 11 + 16 + 7 = 48$ Average $= 48 \div 4 =$ 12 books [2] Teaching note: Read each table row carefully; all four pupils count.

Answer 4.

From the graph: Wednesday (best) = 60 drinks; Thursday (worst) = 25 drinks. Difference $= 60 - 25 =$ 35 drinks [2: M1 reading both values, A1 difference] Expected visual: bars at 45, 30, 60, 25, 50 with y-axis to 70. Common mistake: subtracting adjacent bars instead of highest minus lowest.

Answer 5.

Total of 3 numbers $= 20 \times 3 = 60$ Third number $= 60 - 16 - 25 =$ 19 [2] Teaching note: Work from the total (60), not from the average (20). Common mistake: subtracting from 20.

Answer 6.

Answer 7.

Sum $= 24 + 28 + 33 + 35 + 30 = 150$ °C Average $= 150 \div 5 =$ 30°C [3: M1 reading values, M1 sum, A1 average] Expected visual: points at (8 a.m., 24), (10 a.m., 28), (12 p.m., 33), (2 p.m., 35), (4 p.m., 30). Common mistake: misreading gridlines between labelled steps.

Answer 8.

Original total $= 48 \times 4 = 192$ kg New total $= 50 \times 3 = 150$ kg Mass of boy who left $= 192 - 150 =$ 42 kg [3: M1, M1, A1] Teaching note: Compare the two totals. The leaver is below 48 kg since the average rose when he left — use this check.

Answer 9.

(a) Badminton: $\frac{20}{100} \times 240 =$ 48 pupils [1]

(b) Difference $= 40\% - 25\% = 15\%$ of 240 $= \frac{15}{100} \times 240 =$ 36 pupils [2: M1 percentage difference, A1 value] Teaching note: Compare percentages first, then convert once. (96 − 60 = 36 also works.)

Answer 10.

Group A total $= 150 \times 20 = 3000$ cm Group B total $= 145 \times 30 = 4350$ cm Overall average $= 7350 \div 50 =$ 147 cm [3: M1, M1, A1] Teaching note: Never average the two averages (148 is wrong) unless group sizes are equal. Rebuild totals first.

Answer 11.

Total of 4 numbers $= 26 \times 4 = 104$ $x = 104 - 23 - 31 - 19 =$ 31 [3: M1, M1, A1] Teaching note: Check: $(23+31+19+31)\div 4 = 104 \div 4 = 26$ . ✓

Answer 12.

Original total $= 18 \times 5 = \$ 90 $New total$ = 19.50 \times 6 = $117 $Cost of 6th item$ = 117 - 90 = $**$ 27** [3: M1, M1, A1] Teaching note: The new item pulls the average up, so it costs more than $18 — check confirms this.

Answer 13.

Total $= 40 + 55 + 35 + 50 + 70 = 250$ Average $= 250 \div 5 =$ 50 books [3: M1 reading, M1 sum, A1 average] Expected visual: bars at 40, 55, 35, 50, 70. Common mistake: arithmetic slip in the sum.

Answer 14.

Total age of 4 people $= 13 \times 4 = 52$ years Total age of 3 friends $= 52 - 10 = 42$ years Average $= 42 \div 3 =$ 14 years [3: M1, M1, A1] Teaching note: Remove Ravi's age before averaging. Since Ravi is below average, the friends' average exceeds 13 — a useful check.

Answer 15.

Total distance $= 120 + 180 = 300$ km Total time $= 2 + 3 = 5$ h Average speed $= 300 \div 5 =$ 60 km/h [3: M1, M1, A1] Teaching note: Average speed = total distance ÷ total time, always rebuilt from totals.

Answer 16.

Answer 17.

Original total $= 3.4 \times 6 = 20.4$ kg Remaining 5 melons $= 20.4 - 4.8 = 15.6$ kg New total $= 3.6 \times 6 = 21.6$ kg New watermelon $= 21.6 - 15.6 =$ 6 kg [4: M1, M1, M1, A1 with unit] Teaching note: The new melon must exceed 4.8 kg since the average rose — check confirms 6 > 4.8. ✓

Answer 18.

Answer 19.

(a) Walk: $\frac{25}{100} \times 720 =$ 180 pupils [2: M1, A1]

(b) Difference $= 35\% - 20\% = 15\%$ of 720 $= \frac{15}{100} \times 720 =$ 108 pupils [2: M1, A1] Expected visual: sectors Car 35%, Bus 20%, Walk 25%, Bicycle 20%; total 720 pupils. Common mistake: using 720 as if it were 100 pupils or misreading sector percentages.

Answer 20.

Total of 10 numbers $= 46 \times 10 = 460$ First 4 numbers $= 52 \times 4 = 208$ Last 5 numbers $= 44 \times 5 = 220$ Remaining number $= 460 - 208 - 220 =$ 32 [4: M1, M1, M1, A1] Teaching note: The three groups (first 4, this number, last 5) make up all 10 numbers. Check: $(208 + 32 + 220) \div 10 = 460 \div 10 = 46$ . ✓

End of Answers