P5 Maths: Mean (Basics) (Paper 2 (intermediate))

2026-11-15

Tutor Prep Guide · Using the mean as total over count in all three directions, rebuilding totals and missing items, changes after adding or removing data, combining groups, weighted means and diagnosing common slips

Paper 2 (intermediate): ten mean questions on computing the mean, rebuilding totals and combining groups, with answers and one-line notes.

Direct answers　Level: P5 maths; format: computing the mean, rebuilding totals and missing items, adding or removing data, combining groups and weighted means.

01　Paper details (check answers afterwards)

Item	Detail
Questions	10
Suggested time	20
Difficulty mix	Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1
Chapter	Chapter: P5 Maths: Mean (Basics)
Level	P5

02　Questions (10 items)

FoundationSix numbers have a mean of 12; find their total.
FoundationEight numbers have a mean of 7.5; find their total.
FoundationFour dictation scores are 78, 82, 85 and 75; find the mean.
IntermediateFive numbers have a mean of 14; after adding 20, find the mean of the six numbers.
IntermediateSix numbers have a mean of 9 and the first five add to 40; find the sixth number.
IntermediateThree subjects average 82 and two of them are 78 and 85; find the third score.
ChallengeFive students average 48 kg; a student of 60 kg joins; find the new mean weight.
ChallengeA set has a mean of 20; after adding 32 the mean becomes 22; how many numbers were there?
ChallengeThe first three days average 30 pages a day and the last two days 45 pages a day; find the mean over five days.
Error redoError clinic: four tests total 320 marks and a student quoted 320 as the mean. Find the correct mean.

03　Answers and one-line notes

#	Answer	One-line note
1	72	12 times 6 gives 72.
2	60	7.5 times 8 gives 60.
3	80 marks	The total 320 divided by 4 gives 80.
4	15	The total 70 plus 20 gives 90, which is then divided by 6.
5	14	The total 54 minus 40 leaves 14.
6	83 marks	The total 246 minus 163 leaves 83.
7	50 kg	The total 240 plus 60 gives 300, which is then divided by 6.
8	5	With n numbers, 20n plus 32 equals 22 times n plus 1, so n equals 5.
9	36 pages	The pages total 90 plus 90, which is 180, and 180 divided by 5 gives 36.
10	80 marks	The total must be divided by the count, so 320 over 4 gives 80.

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.

Check the answers, and for any wrong item write down the total and the count first, then compute the mean again.Tutor Registration →

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.