Year 8 transformations test to download as PDF

This Year 8 transformations test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 12-13, and the full answers are on a separate page.

⏱️ Duration : 45 min
🎯 Total : 20 marks
❓ 5 questions

Mark/20

Question 1 – Reflection and translation
Triangle \(ABC\) has \(A(1,2)\), \(B(4,2)\) and \(C(1,5)\).
1. Reflect it in the \(x\)-axis and write the new coordinates. (2 marks)
2. Translate \(ABC\) by \(\begin{pmatrix}-3\\2\end{pmatrix}\) and write the new coordinates. (2 marks)
Question 2 – Rotation and describing
Triangle \(T\) has vertices \((2,1)\), \((4,1)\) and \((2,3)\).
1. Rotate \(T\) by \(90^\circ\) anticlockwise about the origin. Write the coordinates. (2 marks)
2. Describe the transformation that maps \(T\) to the triangle with vertices \((-2,-1)\), \((-4,-1)\), \((-2,-3)\). (2 marks)
Question 3 – Enlargement
Rectangle \(R\) is 5 cm by 3 cm. It is enlarged by scale factor 4.
1. Find the dimensions of the image. (1 mark)
2. Find the perimeter of \(R\) and of the image. (1 mark)
3. Find the area of \(R\) and of the image. (2 marks)
Question 4 – Problem: the poster
A school logo is 8 cm wide and has an area of 30 cm². It is enlarged for a banner so that it is 60 cm wide.
1. Find the scale factor. (1 mark)
2. Find the area of the logo on the banner in cm² and in m². (3 marks)
Question 5 – Problem: combined transformation
Triangle \(T\) has vertices \((1,1)\), \((2,1)\) and \((1,3)\). It is reflected in the line \(x=3\) to give \(T_1\).
1. Write the vertices of \(T_1\). (2 marks)
2. \(T_1\) is enlarged by scale factor 2, centre the origin, to give \(T_2\). Write the vertices of \(T_2\). (2 marks)

How to use this Year 8 transformations test

First, revise with the transformations lesson and the worksheet. Then sit the test in one go, with a timer set to 45 minutes. After that, mark your work with the transformations test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 8 transformations test as a PDF and print it like a real exam paper. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.