Why multiply before subtracting?

The mean times the count gives the total; subtract the known values from it.

How do I handle a new member?

Find the old total and the new total; the difference is the value added.

How is a percentage fall found?

Divide the decrease by the original value.

Averages and Line Graphs — Practice Paper 2 (10 items with answers)

2026-10-29

Tutor Prep Guide · Primary Maths

Paper 2 pushes the mean into total-then-back and new-member questions, and adds a percentage fall read off a line graph.

Direct answer　Mean = total ÷ count. To find one missing value, multiply the mean by the count first.

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 6, 9, 10, 12 and 13?
FoundationScores in four tests are 68, 72, 80 and 84. What is the mean score?
FoundationA line graph reads 14, 18, 22, 18 and 26 from January to May. What is the difference between the highest and the lowest?
IntermediateThree numbers have a mean of 24. Two of them are 20 and 26. Find the third.
IntermediateFour numbers have a mean of 15.5. What is their total?
IntermediateSix months average 25 units a month. Five of them are 20, 22, 26, 28 and 24. Find the sixth month.
ChallengeFive people average 62 kg. After one more person joins, six people average 63 kg. How heavy is the new person?
ChallengeA value on a line graph falls from 25 to 20. What is the percentage decrease?
ChallengeThe first three tests average 80 marks and the last two average 90 marks. What is the mean of all five?
Error redoSix numbers add up to 72. Find the mean. (Common error: answering 72.)

03　Answers and one-line notes

#	Answer	One-line note
1	10	The total is 50, and 50 ÷ 5 = 10.
2	76 marks	The total is 304, and 304 ÷ 4 = 76.
3	12	The highest is 26 and the lowest is 14, so 26 − 14 = 12.
4	26	The three total 3 × 24 = 72, so 72 − 20 − 26 = 26.
5	62	Total = mean × count = 15.5 × 4 = 62.
6	30 units	The six months total 6 × 25 = 150; the first five total 120, so 150 − 120 = 30.
7	68 kg	The old total is 5 × 62 = 310 kg; the new total is 6 × 63 = 378 kg, so 378 − 310 = 68 kg.
8	20%	The fall is 25 − 20 = 5, and 5 ÷ 25 = 0.2, which is 20%.
9	84 marks	The total is 240 + 180 = 420, and 420 ÷ 5 = 84.
10	12	Mean = total ÷ count = 72 ÷ 6 = 12; 72 is only the total.

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.