Year 11 transformations test to download as PDF

This Year 11 transformations test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 15-16, and the full answers are on a separate page.

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

Mark/20

Question 1 – Reflection
A triangle has vertices \((2,1)\), \((5,1)\) and \((2,4)\).
1. Reflect it in the \(y\)-axis and write the new coordinates. (2 marks)
2. Reflect the original in the line \(y=x\). (2 marks)
Question 2 – Rotation
Point \(P\) is \((5,3)\) and the centre \(C\) is \((1,1)\).
1. Rotate \(P\) by \(90^\circ\) clockwise about \(C\). (3 marks)
2. Show that the image is the same distance from \(C\). (1 mark)
Question 3 – Enlargement
Triangle \(ABC\) has \(A(2,2)\), \(B(4,2)\) and \(C(2,5)\). It is enlarged by scale factor 2 with centre \((1,1)\).
1. Find the coordinates of the image. (3 marks)
2. The area of \(ABC\) is 3. Find the area of the image. (1 mark)
Question 4 – Describe the transformation
Triangle \(A\) has vertices \((1,1)\), \((3,1)\), \((1,4)\) and triangle \(B\) has vertices \((-1,-1)\), \((-3,-1)\), \((-1,-4)\).
1. Describe fully the single transformation that maps \(A\) to \(B\). (3 marks)
2. Describe a different transformation that maps \(A\) to \(B\). (1 mark)
Question 5 – Negative scale factor (Higher)
Point \(P\) is \((3,1)\). It is enlarged with scale factor \(-3\), centre the origin.
1. Find the image of \(P\). (2 marks)
2. A shape of area 10 cm² is enlarged by scale factor \(-3\). Find the area of the image. (2 marks)

How to use this Year 11 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 11 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.