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Junior Cycle · Junior Cycle Maths

Junior Cycle Maths: Transformations & symmetry

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

HL Asked on 3 of the last 5 Higher Level papers, most recently in 2026. most years

OL Asked on 2 of the last 5 Ordinary Level papers, most recently in 2026.

Transformations & symmetry, Higher Level(7 marks)

Quick ones on Transformations & symmetry.

(a)Image of (3, −2) under axial symmetry in the x-axis?
  1. (−3, −2)
  2. (3, 2)
  3. (−3, 2)
(b)Image of (1, 2) under central symmetry in the point (3, 3)?
  1. (2, 1)
  2. (4, 5)
  3. (5, 4)
(c)How many axes of symmetry does a regular hexagon have?
  1. 6
  2. 2
  3. 3
Show the answers

(a) (3, 2)

(b) (5, 4)

(c) 6

Your turn: Higher Level questions on Transformations & symmetry.

Higher Level

Asked on 3 of the last 5 Higher Level papers, most recently in 2026. most years

Every paper, year by year

YearWhere it came up
2026Q4
2025Not asked
2024Q9
2023Q12
2022Not asked

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

More Transformations & symmetry questions

Transformations & symmetry, 3 marks

A translation maps (1, 1) to (4, −2). Where does it map (2, 5)?

  1. (−1, 8)
  2. (5, 8)
  3. (5, 2)
Show the answer

(5, 2)

The translation moves every point 3 right and 3 down (4 − 1 = 3 and −2 − 1 = −3). So (2, 5) goes to (2 + 3, 5 − 3) = (5, 2).

Ordinary Level

Asked on 2 of the last 5 Ordinary Level papers, most recently in 2026.

Every paper, year by year

YearWhere it came up
2026Q8
2025Not asked
2024Not asked
2023Q13
2022Not asked

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

More Transformations & symmetry questions

Transformations & symmetry, 2 marks

How many axes of symmetry does a square have?

  1. 2
  2. 8
  3. 4
Show the answer

4

A square has 4 axes of symmetry: 2 through the midpoints of opposite sides and 2 along the diagonals.

Transformations & symmetry, 2 marks

Find the image of (3, 2) under axial symmetry in the x-axis.

  1. (−3, −2)
  2. (3, −2)
  3. (−3, 2)
Show the answer

(3, −2)

Reflecting in the x-axis keeps x the same and changes the sign of y: (3, 2) goes to (3, −2).

Transformations & symmetry, 2 marks

Find the image of (4, 1) under central symmetry in the origin (0, 0).

  1. (−4, −1)
  2. (4, −1)
  3. (−1, −4)
Show the answer

(−4, −1)

Central symmetry in the origin sends a point straight through (0, 0) to the other side, so both signs change: (4, 1) goes to (−4, −1).

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