S1 Maths: Ratio, Rate And Proportion (Paper 2 (intermediate))

S1 Maths: Ratio, Rate and Proportion (Paper 2 (intermediate))

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 2 (intermediate))

Paper 2 (intermediate): 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)

FoundationDivide 200 in the ratio 2 : 3 : 5.
FoundationChange 72 km/h into m/s.
FoundationDivide 84 in the ratio 3 : 4.
IntermediateSix workers need 12 days for a job. How long do nine workers need?
IntermediateFive books cost 60 dollars. What do eight books cost?
IntermediateShare 240 mL of juice in the ratio 2 : 3.
ChallengeA car covers 150 km in 2.5 hours. Find its speed.
ChallengeThree kg cost 54 dollars and five kg cost 85 dollars. Which is cheaper?
ChallengeIf a : b = 3 : 4 and b : c = 2 : 5, find a : c.
Error redoError clinic: a job takes 6 workers 12 days. How long do 12 workers need?

03　Answers and one-line notes

#	Answer	One-line note
1	40, 60 and 100.	There are 10 parts in total, each part is 20, giving 40, 60 and 100.
2	20 m/s.	72 km/h is 72 000 m in 3 600 s, which is 20 m/s; dividing by 3.6 does the same job.
3	36 and 48.	There are 7 parts, each part is 12, so the shares are 36 and 48.
4	8 days.	The work is fixed, so workers and days are inversely proportional: 72 worker-days divided by 9 is 8 days.
5	96 dollars.	One book costs 12 dollars, so eight books cost 96 dollars.
6	96 mL and 144 mL.	There are 5 parts of 48 mL each, giving 96 mL and 144 mL.
7	60 km/h.	150 divided by 2.5 is 60 km/h; take care with place value when dividing by a decimal.
8	The five kg pack, at 17 dollars per kg.	54 divided by 3 is 18 and 85 divided by 5 is 17, so the five kg pack is cheaper.
9	3 : 10.	Taking 4 as the common value of b gives a : b : c = 6 : 8 : 20, so a : c is 3 : 10.
10	4 days.	The total is 72 worker-days, so 72 divided by 12 is 4 days; do not treat this as direct proportion.

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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