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Junior Cycle · Junior Cycle Maths

Junior Cycle Maths: Co-ordinate geometry

How often Co-ordinate geometry comes up on the Maths papers, every year it was asked, and questions to try.

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

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

Co-ordinate geometry, Higher Level(6 marks)

Quick ones on Co-ordinate geometry.

(a)Midpoint of (2, −3) and (8, 5)?
  1. (3, 4)
  2. (5, 1)
  3. (10, 2)
(b)Distance between (1, 2) and (7, 10)?
  1. √14
  2. 14
  3. 10
(c)Slope of the line through (−1, 4) and (3, −4)?
  1. −2
  2. −1/2
  3. 2
Show the answers

(a) (5, 1)

(b) 10

(c) −2

Your turn: Higher Level questions on Co-ordinate geometry.

Higher Level

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

Every paper, year by year

YearWhere it came up
2026Q4
2025Q5
2024Q9, Q10
2023Q7
2022Q3, Q11

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

More Co-ordinate geometry questions

Co-ordinate geometry, 3 marks

Write y = ½x + 3 in the form ax + by + c = 0 with whole-number coefficients.

  1. x − 2y + 3 = 0
  2. x + 2y + 6 = 0
  3. x − 2y + 6 = 0
Show the answer

x − 2y + 6 = 0

Multiply by 2: 2y = x + 6. Bring all the terms to one side: x − 2y + 6 = 0. Every term must be doubled, including the 3.

Co-ordinate geometry, 3 marks

Where do the lines y = x + 1 and y = 3x − 5 intersect?

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

(3, 4)

Set them equal: x + 1 = 3x − 5, so 6 = 2x and x = 3. Then y = 3 + 1 = 4. Check in the other line: 3(3) − 5 = 4.

Ordinary Level

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

Every paper, year by year

YearWhere it came up
2026Q8
2025Q14
2024Q10
2023Q9
2022Q8

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

More Co-ordinate geometry questions

Co-ordinate geometry, 2 marks

Find the midpoint of (2, 4) and (8, 10).

  1. (6, 6)
  2. (10, 14)
  3. (5, 7)
Show the answer

(5, 7)

Midpoint = average of the x's, average of the y's: ((2 + 8) ÷ 2, (4 + 10) ÷ 2) = (5, 7).

Co-ordinate geometry, 2 marks

What is the slope of the line y = 4x − 3?

  1. 1/4
  2. 4
  3. −3
Show the answer

4

In y = mx + c, m is the slope and c is where the line crosses the y-axis. Here m = 4, so the slope is 4.

Co-ordinate geometry, 3 marks

Find the slope of the line through (1, 2) and (3, 8).

  1. 3
  2. 1/3
  3. 6
Show the answer

3

Slope = rise ÷ run = (8 − 2) ÷ (3 − 1) = 6 ÷ 2 = 3. Keep the change in y on top.

Other Maths topics

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