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Junior Cycle Graphics: Dividing a line into equal parts

How often Dividing a line into equal parts comes up on the Graphics papers, every year it was asked, and questions to try.

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

Dividing a line into equal parts, Common Level(8 marks)

Quick ones on Dividing a line into equal parts.

(a)To divide line AB into 5 equal parts, how many equal steps do you mark on the sloping line from A?
  1. 4
  2. 5
  3. 6
(b)A line 125 mm long is divided into 5 equal parts. How long is each part?
  1. 30 mm
  2. 20 mm
  3. 25 mm
(c)Dividing a line: after joining the last step to B, how are the other division lines drawn?
  1. Parallel to that joining line
  2. From A through each step
  3. At right angles to line AB
Show the answers

(a) 5

(b) 25 mm

(c) Parallel to that joining line

Your turn: Common Level questions on Dividing a line into equal parts.

Common Level

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

Every paper, year by year

YearWhere it came up
2026Q5b
2025Q3b
2024Q4b
2023Q3a
2022Q3b

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

More Dividing a line into equal parts questions

Dividing a line into equal parts, 3 marks

A 120 mm line is divided in the ratio 2 : 3. How long is the shorter part?

  1. 40 mm
  2. 72 mm
  3. 48 mm
Show the answer

48 mm

2 + 3 = 5 equal steps, each 120 ÷ 5 = 24 mm. The shorter part is 2 steps: 2 × 24 = 48 mm. The longer part is 72 mm.

Dividing a line into equal parts, 3 marks

Why divide a line into equal parts by construction rather than with a ruler?

  1. It is always quicker
  2. It is exact for any length
  3. It needs no compass or set square
Show the answer

It is exact for any length

A 97 mm line in 7 parts is 13.857... mm each, impossible to measure. The parallel-line method gives equal parts exactly, whatever the length.

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