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0580/11 Oct/Nov 2024, Question 18: Enlargement

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 4 marks

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The question, in short

On a 1 cm² grid, a shaded rectangle has P at one corner and C on the y-axis; state C's coordinates, enlarge the rectangle by scale factor 2 about C, and give the new area.

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

Part (a) · 1 mark

Give the coordinates of the marked point C on the y-axis.

  1. 1C = (0, 5)

Answer(0, 5)

Part (b) · 2 marks

Using centre C and scale factor 2, work out where P maps to.

  1. 1From C to P: 7 right, 3 up
  2. 2Scale factor 2: 14 right, 6 up from C
  3. 3Image of P = (0 + 14, 5 + 6) = (14, 11)

Answer(14, 11)

Part (c) · 1 mark

Work out the area of the rectangle after enlargement.

  1. 1Enlarged rectangle is 10 cm by 6 cm
  2. 2Area = 10 × 6 = 60 cm²

Answer60

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Also searched as: 0580/11/O/N/24 · 0580_w24_qp_11 · 0580 w24 11 · question 18.
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