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Leaving Cert Maths: Length, area & volume

How often Length, area & volume comes up on the Maths papers, every year it was asked, and questions to try.

HL Asked on 10 of the last 10 Higher Level papers, most recently in 2026. banker

OL Asked on 10 of the last 10 Ordinary Level papers, most recently in 2026. banker

FL Asked on 7 of the last 7 Foundation Level papers, most recently in 2026. banker

Length, area & volume, Higher Level(6 marks)

Quick ones on Length, area & volume.

(a)Volume of a sphere?
  1. 4πr²
  2. ⁴⁄₃πr³
  3. ⅔πr³
(b)Area of a circle of radius 3?
  1. 3π
  2. 6π
  3. 9π
(c)Volume of a cylinder?
  1. πr²h
  2. ⅓πr²h
  3. 2πrh
Show the answers

(a) ⁴⁄₃πr³

(b) 9π

(c) πr²h

Your turn: Higher Level questions on Length, area & volume.

Higher Level

Asked on 10 of the last 10 Higher Level papers, most recently in 2026. banker

Every paper, year by year

YearWhere it came up
2026Paper 2, Q3, Paper 2, Q9
2025Paper 2, Q7, Paper 2, Q8
2024Paper 1, Q9, Paper 2, Q8
2023Paper 2, Q10
2022Paper 2, Q7
2021Paper 2, Q5
2019Paper 2, Q7
2018Paper 2, Q7
2017Paper 2, Q6, Paper 2, Q7
2016Paper 2, Q7

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

More Length, area & volume questions

Length, area & volume, 2 marks

Total surface area of a cube of side 3 cm?

  1. 27 cm²
  2. 36 cm²
  3. 54 cm²
Show the answer

54 cm²

A cube has 6 square faces, each 3 × 3 = 9 cm², so 6 × 9 = 54 cm².

Length, area & volume, 2 marks

Volume of a cylinder with radius 2 and height 5?

  1. 40π
  2. 20π
  3. 10π
Show the answer

20π

V = πr²h = π × 2² × 5 = 20π.

Length, area & volume, 2 marks

Curved surface area of a cylinder with radius 3 and height 4?

  1. 24π
  2. 12π
  3. 36π
Show the answer

24π

Curved surface area = 2πrh = 2π × 3 × 4 = 24π. Unrolled, it's a rectangle 2πr wide and h high.

Ordinary Level

Asked on 10 of the last 10 Ordinary Level papers, most recently in 2026. banker

Every paper, year by year

YearWhere it came up
2026Paper 2, Q8, Paper 2, Q10
2025Paper 1, Q10, Paper 2, Q7, Paper 2, Q9
2024Paper 1, Q6, Paper 2, Q9, Paper 2, Q10
2023Paper 1, Q8, Paper 1, Q10, Paper 2, Q5, Paper 2, Q8
2022Paper 2, Q6, Paper 2, Q8, Paper 2, Q9
2021Paper 1, Q8, Paper 2, Q2, Paper 2, Q8, Paper 2, Q9
2019Paper 1, Q5, Paper 2, Q5, Paper 2, Q8, Paper 2, Q9
2018Paper 2, Q5, Paper 2, Q8, Paper 2, Q9
2017Paper 1, Q5, Paper 2, Q2, Paper 2, Q7
2016Paper 2, Q7

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

More Length, area & volume questions

Length, area & volume, 2 marks

Find the area of a rectangle 8 cm by 5 cm.

  1. 26 cm²
  2. 13 cm²
  3. 40 cm²
Show the answer

40 cm²

Area = length × width = 8 × 5 = 40 cm². 26 cm is the perimeter, not the area.

Length, area & volume, 2 marks

Find the area of a triangle with base 10 cm and height 6 cm.

  1. 16 cm²
  2. 30 cm²
  3. 60 cm²
Show the answer

30 cm²

Area = ½ × base × height = ½ × 10 × 6 = 30 cm². Do not forget the half.

Length, area & volume, 2 marks

Find the area of a circle of radius 5 cm, in terms of π.

  1. 25π cm²
  2. 10π cm²
  3. 100π cm²
Show the answer

25π cm²

Area = πr² = π × 5² = 25π cm². 10π cm is the circumference.

Foundation Level

Asked on 7 of the last 7 Foundation Level papers, most recently in 2026. banker

Every paper, year by year

YearWhere it came up
2026Q9, Q11
2025Q6, Q10
2024Q6, Q7, Q8, Q9
2023Q8, Q9, Q10
2022Q3, Q5, Q10
2021Q5, Q6, Q10
2019Q8, Q9

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

More Length, area & volume questions

Length, area & volume, 2 marks

Find the area of a rectangle 8 m long and 5 m wide.

  1. 26 m²
  2. 13 m²
  3. 40 m²
Show the answer

40 m²

Area of a rectangle = length × width = 8 × 5 = 40 m².

Length, area & volume, 2 marks

Find the perimeter of a rectangle 8 m long and 5 m wide.

  1. 13 m
  2. 26 m
  3. 40 m
Show the answer

26 m

Perimeter is the distance around: 8 + 5 + 8 + 5 = 26 m.

Length, area & volume, 2 marks

Find the area of a triangle with base 10 cm and height 6 cm.

  1. 30 cm²
  2. 60 cm²
  3. 16 cm²
Show the answer

30 cm²

Area of a triangle = ½ × base × height = ½ × 10 × 6 = 30 cm².

Other Maths topics

All of Leaving Cert Maths