# Exam-Style Questions.

## Problems adapted from questions set for previous Mathematics exams.

### 1.

GCSE Higher

Shape A can be transformed to shape B by a reflection in the y-axis followed by a translation $${c \choose d}$$

Find the value of $$c$$ and the value of $$d$$.

### 2.

GCSE Higher

The shape A is drawn on the coordinate grid as shown below.

Sally and Eddie each transform the shape A onto shape B.

• Sally uses a reflection in the line y = 7 followed by a rotation of 90o anticlockwise about the point (9,9).
• Eddie transforms shape A first with a reflection in the line $$y = x$$ followed by his favourite transformation.

(a) Draw and label shape B.

(b) Describe fully Eddie's favourite transformation.

### 3.

GCSE Higher

The diagram shows a red trapezium drawn on a grid.

The trapezium is subjected to two transformations, one after the other.

One transformation is a reflection in the line $$y=x$$.

The other transformation is a reflection y-axis.

### 4.

GCSE Higher

The diagram shows a trapezium A on a grid.

Trapezium A is reflected in the line $$x=10$$ to give trapezium B.

Trapezium B is translated by $$\begin{pmatrix} -6 \\ -3 \\ \end{pmatrix}$$ to give trapezium C.

(a) Draw the trapezia B and C on the grid above.

(b) Trapezium C is reflected in the line $$y=5$$ to give trapezium D. What are the coordinates of the centre of a 180° rotation that would map trapezium D onto trapezium A?

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The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

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