Edexcel 4MA1Cambridge 0580
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Edexcel IGCSE Maths A (4MA1) · Foundation tier · Questions

IGCSE Maths 4MA1 Foundation Transformations Questions

3 original exam-style questions on vectors and transformation geometry for the Foundation tier, three for each sub-topic, from easier to harder. Try each one, then open the mark scheme and the worked solution. The marks are Edexcel style: M for method, A for accuracy, B for an independent result.

More transformations practice →Transformations notes

5.2 Transformation geometry questions

Revise it first: Transformation geometry notes and worked example.

Question 1 · 1 mark · grade 1

The point \((3, 5)\) is translated by the column vector \(\begin{pmatrix} 4 \\ -2 \end{pmatrix}\).

Write down the coordinates of its image.

Show the answer, mark scheme and worked solution
  • B1 (7, 3)
  1. Add 4 to the x-coordinate and −2 to the y-coordinate: (3 + 4, 5 − 2) = (7, 3).

Answer: \((7, 3)\)

Question 2 · 2 marks · grade 4

A triangle has vertices \((1, 1)\), \((2, 1)\) and \((1, 3)\). It is enlarged by scale factor 3 with centre \((0, 0)\).

Write down the coordinates of the vertices of the image.

Show the answer, mark scheme and worked solution
  • B2 (3, 3), (6, 3), (3, 9) (B1 for two correct vertices)
  1. With centre the origin, multiply each coordinate by the scale factor 3.

Answer: \((3, 3), (6, 3), (3, 9)\)

Question 3 · 3 marks · grade 5

Shape \(A\) has vertices \((1, 1)\), \((3, 1)\) and \((3, 2)\). Shape \(A\) is reflected in the \(y\)-axis to give shape \(B\). Shape \(B\) is then reflected in the \(x\)-axis to give shape \(C\).

(a) Write down the coordinates of the vertices of shape \(C\).

(b) Describe fully the single transformation that maps shape \(A\) onto shape \(C\).

Show the answer, mark scheme and worked solution
  • B1 (a) (−1, −1), (−3, −1), (−3, −2)
  • B1 (b) rotation of 180°
  • B1 (b) about the origin (0, 0)
  1. B: (−1, 1), (−3, 1), (−3, 2). C: (−1, −1), (−3, −1), (−3, −2).
  2. Both coordinates have changed sign, which is a rotation of 180° about the origin.

Answer: (a) \((-1, -1), (-3, -1), (-3, -2)\) (b) a rotation of \(180°\) about \((0, 0)\)

Every question here is original, written for IGCSE Math Revision rather than copied from Pearson papers, and each answer was re-solved independently before publishing.

Topic list for Edexcel IGCSE Maths 4MA1 Foundation transformations: transformation geometry
The 1 Foundation sub-topics of transformations.

Practise transformations