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0580/13 Oct/Nov 2025, Question 5: Coordinates and Plotting Points

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Non-calculator · 4 marks

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The question, in short

Using a 1 cm² grid showing quadrilateral ABCD with A(−2, −2), C(2, 2), D(3, −2) and B marked, find B's coordinates, name the shape, find its area, and plot E(−3, 2).

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

Part (a) · 1 mark

State the coordinates of the marked point B on the grid.

  1. 1Read B from the grid: across −1, up 2
  2. 2B = (−1, 2)

Answer(−1, 2)

Part (b) · 1 mark

Give the mathematical name of quadrilateral ABCD.

  1. 1BC is parallel to AD (both horizontal), the other sides are not parallel
  2. 2ABCD is a trapezium

Answertrapezium

Part (c) · 1 mark

Calculate the area of quadrilateral ABCD in cm².

  1. 1Parallel sides: BC = 2 − (−1) = 3 cm, AD = 3 − (−2) = 5 cm; height = 2 − (−2) = 4 cm
  2. 2Area = 1/2 × (3 + 5) × 4 = 16 cm²

Answer16

Part (d) · 1 mark

Plot and mark point E at (−3, 2) on the grid.

  1. 1Go 3 left from the origin to x = −3, then 2 up to y = 2
  2. 2Mark the point E at (−3, 2)

AnswerPoint plotted at (−3, 2)

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