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Junior Cycle · Junior Cycle Maths

Junior Cycle Maths: Quadratic equations

How often Quadratic equations 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

Quadratic equations, Higher Level(7 marks)

Quick ones on Quadratic equations.

(a)Solve x² − 7x + 12 = 0.
  1. x = −3 or x = −4
  2. x = 3 or x = 4
  3. x = 2 or x = 6
(b)Solve x² = 5x.
  1. x = 0 or x = −5
  2. x = 5 only
  3. x = 0 or x = 5
(c)Solve 2x² + 5x − 3 = 0.
  1. x = ½ or x = −3
  2. x = 2 or x = −3
  3. x = −½ or x = 3
Show the answers

(a) x = 3 or x = 4

(b) x = 0 or x = 5

(c) x = ½ or x = −3

Your turn: Higher Level questions on Quadratic equations.

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
2026Q9, Q10
2025Q13
2024Q12
2023Q13
2022Q9

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

Other Maths topics

All of Junior Cycle Maths