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4MA1/2F Jun 2024, Question 2: Enlargement

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 6 marks

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The question, in short

Use a square grid to draw a congruent shape and a scale factor 2 enlargement of shape J, mark the symmetry line of shape K, then find the perimeter and area of shape L on a centimetre grid.

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

Part (a) · 1 mark

Draw a shape on the grid that is congruent to shape J.

  1. 1Identify a shape with the same size and shape as J, allowing for rotation or reflection.
  2. 2Draw the shape on the grid in any position and orientation, as long as it matches J exactly in dimensions.

AnswerAny copy of shape J with exactly the same side lengths, drawn anywhere on the grid, rotated or reflected if wished

Part (b) · 2 marks

Draw an enlargement of shape J using scale factor 2 on the grid.

  1. 1Multiply each side length of shape J by 2.
  2. 2Draw the new shape with all sides twice as long as shape J.
  3. 3Ensure the new shape is similar to J and correctly scaled.

Answereg Correct enlargement

Part (c) · 1 mark

Draw the single line of symmetry on shape K.

  1. 1Identify the line that divides shape K into two mirror-image halves.
  2. 2Draw a single straight line through shape K where both sides are symmetrical.

Answercorrect line

Part (d) · 1 mark

Calculate the perimeter of shape L using the centimetre grid.

  1. 1Go round the edge: 5 along the bottom, up 1, across 2, up 1, across 3, down 2.
  2. 2Perimeter = 5 + 1 + 2 + 1 + 3 + 2 = 14

Answer14

Part (e) · 1 mark

Calculate the area of shape L using the centimetre grid.

  1. 1Count the full squares inside shape L on the grid.
  2. 2Each square represents 1 cm².
  3. 3There are 8 squares fully covered by shape L.
  4. 48

Answer8

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