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0580/12 Feb/Mar 2025, Question 10: Area of a Parallelogram and Trapezium

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Non-calculator · 2 marks

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The question, in short

Use a 1 cm² grid showing a shape with sides 7, 4 and 3 squares and a sloping edge; find its area and shade half of it.

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

Part (a) · 1 mark

Work out the area of the shape shown on the 1 cm² grid.

  1. 1The shape is a trapezium with parallel sides 3 cm and 7 cm, height 4 cm
  2. 2Area = (3 + 7)/2 × 4
  3. 3= 20

Answer20

Part (b) · 1 mark

Shade 50% of the shape on the grid.

  1. 150% of 20 cm² = 10 cm²
  2. 2Shade whole and half squares that total 10 cm², e.g. the 3 by 3 block on the right plus one more square

Answer10 squares shaded (10 cm² of the shape)

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