Ceist Eile

Ceist Eile is in development. Features, questions and prices may change while we refine it.

Junior Cycle · Junior Cycle Maths

Junior Cycle Maths: Number systems & operations

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

HL Asked on 1 of the last 5 Higher Level papers, most recently in 2023.

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

Number systems & operations, Higher Level(7 marks)

Quick ones on Number systems & operations.

(a)Which of these numbers is irrational?
  1. √16
  2. √7
  3. 0.35
(b)Simplify √50.
  1. 2√5
  2. 25√2
  3. 5√2
(c)Simplify √12 + √27.
  1. 5√3
  2. 6√3
  3. √39
Show the answers

(a) √7

(b) 5√2

(c) 5√3

Your turn: Higher Level questions on Number systems & operations.

Higher Level

Asked on 1 of the last 5 Higher Level papers, most recently in 2023.

Every paper, year by year

YearWhere it came up
2026Not asked
2025Not asked
2024Not asked
2023Q1, Q5
2022Not asked

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

More Number systems & operations questions

Number systems & operations, 2 marks

Write 0.004572 correct to 2 significant figures.

  1. 0.0045
  2. 0.00
  3. 0.0046
Show the answer

0.0046

Leading zeros are not significant. The first two significant figures are 4 and 5; the next digit is 7, so round up: 0.0046. (0.00 is 2 decimal places, not 2 significant figures.)

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
2026Q1
2025Q1
2024Q1
2023Q1, Q12
2022Q1

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

More Number systems & operations questions

Number systems & operations, 2 marks

Work out 3 + 4 × 5.

  1. 35
  2. 17
  3. 23
Show the answer

23

Multiply before you add (BIMDAS): 4 × 5 = 20, then 3 + 20 = 23. Working left to right gives the wrong answer 35.

Number systems & operations, 2 marks

Round 4.867 to one decimal place.

  1. 4.87
  2. 4.9
  3. 4.8
Show the answer

4.9

One decimal place means one digit after the point. The next digit is 6, which is 5 or more, so round up: 4.8 becomes 4.9.

Number systems & operations, 2 marks

Work out (8 − 2) × 3 + 1.

  1. 19
  2. 24
  3. 3
Show the answer

19

Brackets first: 8 − 2 = 6. Then multiply: 6 × 3 = 18. Then add: 18 + 1 = 19.

Other Maths topics

All of Junior Cycle Maths