S1 Maths: Ratio, Rate And Proportion (Paper 1 (basics))

S1 Maths: Ratio, Rate and Proportion (Paper 1 (basics))

2026-11-15

Tutor Prep Guide · simplifying ratios; sharing in a ratio; direct and inverse proportion; speed conversion; average speed

S1 Maths: Ratio, Rate and Proportion (Paper 1 (basics))

Paper 1 (basics): ten questions on simplifying ratios, missing terms, sharing in a ratio, direct and inverse proportion, speed conversion and average speed, with answers and one-line notes.

Direct answers　Level: S1 maths; format: simplifying ratios, sharing in a ratio, proportion equations, speed and average speed.

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: S1 Maths: Ratio, Rate and Proportion
Level	S1

02　Questions (10 items)

FoundationSimplify the ratio 12 : 18.
FoundationSimplify the ratio 45 : 60.
FoundationIf 3 : 5 = x : 20, find x.
IntermediateA car covers 120 km in 2 hours. Find its speed.
IntermediateSix buns cost 90 dollars. Find the unit price.
IntermediateIf x : 4 = 15 : 20, find x.
ChallengeDivide 63 in the ratio 2 : 7.
ChallengeAt 8 m/s, how far do you travel in 5 seconds?
ChallengeSimplify the ratio 0.5 : 1.5.
Error redoError clinic: simplify the ratio 8 : 12.

03　Answers and one-line notes

#	Answer	One-line note
1	2 : 3.	Divide both terms by the highest common factor 6 to get 2 : 3.
2	3 : 4.	Divide both terms by 15 to get 3 : 4.
3	12.	The second term grows from 5 to 20, that is times 4, so the first term is 12.
4	60 km/h.	Speed equals distance divided by time, so 120 divided by 2 is 60 km/h.
5	15 dollars each.	Unit price is total cost divided by quantity, so 90 divided by 6 is 15.
6	3.	20 divided by 4 is 5, so x is 15 divided by 5, which is 3.
7	14 and 49.	There are 9 parts in total, each part is 7, so the shares are 14 and 49.
8	40 m.	Distance is speed times time, so 8 times 5 is 40 metres.
9	1 : 3.	Multiply both terms by 2 to get 1 : 3; a decimal ratio can be turned into whole numbers first.
10	2 : 3.	Divide both terms by 4 to get 2 : 3; the answer 4 : 6 is not yet in simplest form.

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; find the highest common factor when reducing, and fix the total for inverse proportion.Tutor Registration →

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