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Junior Cycle · Junior Cycle Maths

Junior Cycle Maths: Ratio, proportion & scale

How often Ratio, proportion & scale comes up on the Maths papers, every year it was asked, and questions to try.

HL Asked on 4 of the last 5 Higher Level papers, most recently in 2026. most years

OL Asked on 4 of the last 5 Ordinary Level papers, most recently in 2025. most years

Ratio, proportion & scale, Higher Level(8 marks)

Quick ones on Ratio, proportion & scale.

(a)Share €240 in the ratio 3 : 5. What is the larger share?
  1. €90
  2. €150
  3. €144
(b)A map has a scale of 1 : 50 000. What real distance does 4 cm on the map show?
  1. 200 m
  2. 20 km
  3. 2 km
(c)A plan is drawn to a scale of 1 : 20. How long is a 1.6 m table on the plan?
  1. 8 cm
  2. 0.8 cm
  3. 32 cm
Show the answers

(a) €150

(b) 2 km

(c) 8 cm

Your turn: Higher Level questions on Ratio, proportion & scale.

Higher Level

Asked on 4 of the last 5 Higher Level papers, most recently in 2026. most years

Every paper, year by year

YearWhere it came up
2026Q5
2025Q7
2024Q4
2023Not asked
2022Q3

Links open the State Examinations Commission’s paper for that year.

Ordinary Level

Asked on 4 of the last 5 Ordinary Level papers, most recently in 2025. most years

Every paper, year by year

YearWhere it came up
2026Not asked
2025Q2, Q11
2024Q9
2023Q4, Q10
2022Q2, Q11

Links open the State Examinations Commission’s paper for that year.

More Ratio, proportion & scale questions

Ratio, proportion & scale, 3 marks

Share €60 between Aoife and Ben in the ratio 2 : 3. How much does Aoife get?

  1. €36
  2. €20
  3. €24
Show the answer

€24

2 + 3 = 5 parts, so one part = 60 ÷ 5 = €12. Aoife gets 2 parts: 2 × 12 = €24. Ben gets 3 parts, €36.

Ratio, proportion & scale, 3 marks

On a map with scale 1 : 50,000, two towns are 4 cm apart. What is the real distance?

  1. 200 m
  2. 2 km
  3. 20 km
Show the answer

2 km

4 × 50,000 = 200,000 cm. Divide by 100 to get metres: 2,000 m. Divide by 1,000 to get km: 2 km.

Ratio, proportion & scale, 2 marks

Write the ratio 15 : 25 in its simplest form.

  1. 3 : 5
  2. 5 : 3
  3. 5 : 25
Show the answer

3 : 5

Divide both parts by their HCF, 5: 15 ÷ 5 = 3 and 25 ÷ 5 = 5. Keep the same order: 3 : 5.

Other Maths topics

All of Junior Cycle Maths