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.
- 1Identify a shape with the same size and shape as J, allowing for rotation or reflection.
- 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.
- 1Multiply each side length of shape J by 2.
- 2Draw the new shape with all sides twice as long as shape J.
- 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.
- 1Identify the line that divides shape K into two mirror-image halves.
- 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.
- 1Go round the edge: 5 along the bottom, up 1, across 2, up 1, across 3, down 2.
- 2Perimeter = 5 + 1 + 2 + 1 + 3 + 2 = 14
Answer14
Part (e) · 1 mark
Calculate the area of shape L using the centimetre grid.
- 1Count the full squares inside shape L on the grid.
- 2Each square represents 1 cm².
- 3There are 8 squares fully covered by shape L.
- 48
Answer8
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