How do I find the mean?

Add all the values and divide by how many there are.

How is a percentage rise found?

Divide the increase by the original value.

Which level is this paper for?

Primary 6; also useful in the second term of Primary 5.

Averages and Line Graphs — Practice Paper 1 (10 items with answers)

2026-10-29

Tutor Prep Guide · Primary Maths

The mean is total ÷ count; a line graph tests reading values and comparing them. Ten items from foundation to challenge, with answers below.

Direct answer　Mean = total ÷ count. Read the value of each point on a line graph first, then compare the highest, the lowest and the rise.

01　Paper details (check answers afterwards)

Item	Detail
Questions	10 items
Suggested time	About 20 minutes
Difficulty mix	Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1
Chapter	Chapter: Primary 6 Maths: Averages and Line Graphs — Tutor Lesson Plan
Level	Primary 6

02　Questions (10 items)

FoundationWhat is the mean of 12, 15, 18 and 15?
FoundationWhat is the mean of 8, 9, 10, 11 and 12?
FoundationMei scores 72, 78, 80 and 90 in four dictations. What is her mean score?
IntermediateFour numbers have a mean of 18. Three of them are 15, 20 and 16. Find the fourth.
IntermediateSix numbers have a mean of 12.5. What is their total?
IntermediateA line graph shows monthly sales from January to June: 20, 25, 30, 25, 40, 40. What is the difference between the highest and the lowest?
ChallengeFive tests have a mean of 78 marks. The first four are 74, 80, 72 and 82. Find the fifth.
ChallengeFour numbers have a mean of 15. A fifth number, 20, is added. What is the new mean?
ChallengeOn a line graph a value rises from 20 to 40. What is the percentage increase?
Error redoFive numbers add up to 45. Find the mean. (Common error: dividing by 4.)

03　Answers and one-line notes

#	Answer	One-line note
1	15	The four values add up to 60, and 60 ÷ 4 = 15.
2	10	The total is 50, and 50 ÷ 5 = 10.
3	80 marks	The total is 320, and 320 ÷ 4 = 80.
4	21	The four numbers total 4 × 18 = 72, so 72 − 15 − 20 − 16 = 21.
5	75	Total = mean × count = 12.5 × 6 = 75.
6	20 units	The highest is 40 and the lowest is 20, so 40 − 20 = 20.
7	82 marks	The five total 5 × 78 = 390; the first four total 308, so 390 − 308 = 82.
8	16	The original total is 60; adding 20 gives 80, and 80 ÷ 5 = 16.
9	100%	The rise is 40 − 20 = 20, and 20 ÷ 20 = 1, which is 100%.
10	9	Mean = total ÷ count = 45 ÷ 5 = 9; there are 5 values, not 4.

04　What to do after marking

After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
Repeat the same item two days later; move to the next paper only when both attempts are correct.
Parents only need the answer and note columns; there is no need to explain every item.

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Questions and answers are written originally by the TutorZone team and are not taken from any school, publisher or examination authority paper. Every value is checked by computer.