Leaving Cert Maths: Geometry
How often Geometry 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
Quick ones on Geometry.
- 180°
- 90°
- 45°
- 90°
- 360°
- 180°
- twice
- equal to
- half
Show the answers
(a) 90°
(b) 180°
(c) twice
Higher Level
Asked on 10 of the last 10 Higher Level papers, most recently in 2026. banker
Every paper, year by year
| Year | Where it came up |
|---|---|
| 2026 | Q3, Q7, Q9 |
| 2025 | Q5 |
| 2024 | Q4, Q8 |
| 2023 | Q6 |
| 2022 | Q6 |
| 2021 | Q6 |
| 2019 | Q5 |
| 2018 | Q6 |
| 2017 | Q5 |
| 2016 | Q4 |
Links open the State Examinations Commission’s paper for that year.
More Geometry questions
Geometry, 2 marks
An exterior angle of a triangle equals …
- 180° minus the two interior opposite angles
- the difference of the two interior opposite angles
- the sum of the two interior opposite angles
Show the answer
the sum of the two interior opposite angles
The three angles add to 180°, and the exterior angle plus its neighbouring interior angle also add to 180°.
Geometry, 2 marks
The line joining the midpoints of two sides of a triangle is …
- parallel to the third side and equal in length
- parallel to the third side and half its length
- perpendicular to the third side and half its length
Show the answer
parallel to the third side and half its length
This is the midpoint theorem; it follows from similar triangles with scale factor ½.
Geometry, 2 marks
The point equidistant from all three vertices of a triangle is the …
- circumcentre
- incentre
- centroid
Show the answer
circumcentre
It's where the perpendicular bisectors of the sides meet, and it's the centre of the circle through all three vertices.
Ordinary Level
Asked on 10 of the last 10 Ordinary Level papers, most recently in 2026. banker
Every paper, year by year
| Year | Where it came up |
|---|---|
| 2026 | Q4, Q6 |
| 2025 | Q5, Q9 |
| 2024 | Q6 |
| 2023 | Q5, Q6 |
| 2022 | Q5, Q6, Q9 |
| 2021 | Q6 |
| 2019 | Q6 |
| 2018 | Q5, Q6 |
| 2017 | Q4, Q8 |
| 2016 | Q6 |
Links open the State Examinations Commission’s paper for that year.
More Geometry questions
Geometry, 2 marks
The three angles in a triangle add up to …
- 360°
- 90°
- 180°
Show the answer
180°
The angles in any triangle always add to 180°, no matter what shape it is.
Geometry, 2 marks
Two angles of a triangle are 50° and 60°. Find the third angle.
- 110°
- 70°
- 80°
Show the answer
70°
The three angles add to 180°, so the third is 180 − 50 − 60 = 70°.
Geometry, 2 marks
The angles on a straight line add up to …
- 180°
- 90°
- 360°
Show the answer
180°
A straight line is a half turn, so the angles along it add to 180°.
Foundation Level
Asked on 7 of the last 7 Foundation Level papers, most recently in 2026. banker
Every paper, year by year
| Year | Where it came up |
|---|---|
| 2026 | Q8 |
| 2025 | Q6, Q8 |
| 2024 | Q7, Q8, Q9 |
| 2023 | Q2, Q6 |
| 2022 | Q7, Q10 |
| 2021 | Q2, Q5, Q6 |
| 2019 | Q6, Q9 |
Links open the State Examinations Commission’s paper for that year.
More Geometry questions
Geometry, 2 marks
A right-angled triangle has shorter sides of 3 cm and 4 cm. How long is the hypotenuse?
- 7 cm
- 25 cm
- 5 cm
Show the answer
5 cm
Pythagoras: 3² + 4² = 9 + 16 = 25. The square root of 25 is 5, so the hypotenuse is 5 cm.
Geometry, 2 marks
The three angles in a triangle add up to …
- 90°
- 180°
- 360°
Show the answer
180°
The angles in any triangle always add up to 180°.
Geometry, 2 marks
A shape is enlarged by scale factor 3. A side of 4 cm becomes …
- 12 cm
- 7 cm
- 4 cm
Show the answer
12 cm
Multiply every length by the scale factor: 4 × 3 = 12 cm.