OCR GCSE Mathematics Geometry and measures overview quiz quiz

What is the sum of the interior angles of a hexagon?

Two parallel lines are crossed by a transversal. One angle is $65^\circ$. What is its alternate angle?

A right-angled triangle has a hypotenuse of $10$ cm and one shorter side of $6$ cm. Find the other shorter side.

In a right-angled triangle, the side opposite a $30^\circ$ angle is needed and the hypotenuse is $12$ cm. Which ratio is used?

Find the circumference of a circle with radius $4$ cm, in terms of $\pi$.

A circle has radius $6$ cm. Find its area, in terms of $\pi$.

The angle at the centre of a circle subtended by an arc is $140^\circ$. What is the angle at the circumference on the same arc?

Opposite angles of a cyclic quadrilateral are $x$ and $105^\circ$. Find $x$.

Find the volume of a cylinder with radius $2$ cm and height $9$ cm, in terms of $\pi$.

A shape is enlarged by scale factor $3$. By what factor does its area increase?

Describe fully the transformation needed: a shape is turned $180^\circ$ about the origin. Which detail is NOT required?

Vectors $\mathbf{a} = \begin{pmatrix} 4 \\ 1 \end{pmatrix}$ and $\mathbf{b} = \begin{pmatrix} 2 \\ 3 \end{pmatrix}$. Find $\mathbf{a} + \mathbf{b}$.

In triangle $OAB$, $\overrightarrow{OA} = \mathbf{a}$ and $\overrightarrow{OB} = \mathbf{b}$. What is $\overrightarrow{AB}$?

Which standard locus is the set of all points equidistant from two fixed points $A$ and $B$?