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4MA1/2F Jun 2025, Question 5: Length of a Line Segment

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 4 marks

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The question, in short

Use the grid showing points P, Q and R to read off P's coordinates, plot a new point T at (3, −1), and work out the midpoint of QR.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 1 mark

State the coordinates of point P as shown on the grid.

  1. 1P is 2 left of O, so x = −2
  2. 2P is 3 up, so y = 3
  3. 3(−2, 3)

Answer(−2, 3)

Part (b) · 1 mark

Plot and label point T at coordinates (3, −1) on the grid.

  1. 1Go 3 right from O
  2. 2Go 1 down
  3. 3Mark a cross and label it T

AnswerA cross at (3, −1) labelled T

Part (c) · 2 marks

Calculate the coordinates of the midpoint of the line segment QR.

  1. 1Q = (3, 4), R = (1, −2)
  2. 2x: (3 + 1) ÷ 2 = 2
  3. 3y: (4 + −2) ÷ 2 = 1
  4. 4Midpoint = (2, 1)

Answer(2, 1)

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