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4MA1/2F Jun 2020, Question 7: Length of a Line Segment

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 5 marks

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The question, in short

Using a grid from −5 to 5, identify point A, plot D at (−2, −4), find the midpoint of B(−4, 1) and C(2, 3), and draw the line x = 4.

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 A shown on the grid.

  1. 1Read the coordinates of point A from the grid.
  2. 2(3, −1)

Answer(3, −1)

Part (b) · 1 mark

Plot and label point D at (−2, −4) on the grid.

  1. 1From the origin go 2 left (x = −2)
  2. 2Then go 4 down (y = −4)
  3. 3Mark a cross at (−2, −4) and label it D

Answer(−2, −4)

Part (c) · 2 marks

Calculate the coordinates of the midpoint of the segment joining B(−4, 1) and C(2, 3).

  1. 1B = (−4, 1) and C = (2, 3)
  2. 2x: (−4 + 2) ÷ 2 = −1
  3. 3y: (1 + 3) ÷ 2 = 2
  4. 4Midpoint = (−1, 2)

Answer(−1, 2)

Part (d) · 1 mark

Draw on the grid the straight line whose equation is x = 4.

  1. 1Draw a vertical line where x = 4.
  2. 2Extend the line from y = −5 to y = 5 or full grid.
  3. 3x = 4

Answerx = 4

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