Theory

CH7 - Mensuration

The diagram shows a shape made from a cylinder and a cone. The cylinder and cone have a common radius of 6 m. The height of the cylinder is 10 m and t...

2015 Summer

Theory

CH7 - Mensuration

The diagram shows a rectangle, two semicircles and two right-angled triangles.(a) Find the total area of the shape. Give your answer in the form $a + ...

2015 Summer

Theory

CH7 - Mensuration

(a) The diagram shows two similar triangles $EAB$ and $ECD$. $AB = 20 \text{ cm}$, $CD = 15 \text{ cm}$, $AC = 40 \text{ cm}$ and angle $CAB = 90^\c...

2015 Summer

Theory

CH7 - Mensuration

The diagram shows a solid cone inside a cylinder.The base radius of the cone and the radius of the cylinder are both 10 cm.The height of both the cone...

2015 Winter

Theory

CH7 - Mensuration

The area of a semicircle is $32\pi \text{cm}^2$.Work out the perimeter of the semicircle.Give your answer in terms of $\pi$..............................

2016 Summer

Theory

CH7 - Mensuration

The diagrams show a solid hemisphere and a solid cone.Both the hemisphere and the base of the cone have radius 9cm.The volumes of the two shapes are e...

2016 Winter

Theory

CH7 - Mensuration

A circle of radius 5 cm is inscribed inside a square. The square has one side on the base of an equilateral triangle, $ABC$. The other two vertices of...

2016 Winter

Theory

CH7 - Mensuration

A solid hemisphere has radius 6 cm.(a) Find, in terms of \( \pi \),(i) the volume of the hemisphere, .............................................. cm...

2016 Winter

Theory

CH7 - Mensuration

The diagram shows a solid, square-based pyramid $VABCD$. $O$ is the centre of the base $ABCD$ and $VO$ is perpendicular to the base.$N$ is the midpoin...

2016 Winter

Theory

CH7 - Mensuration

AD is an arc of a circle, centre C, and BCD is a straight line. $BC = 9 \text{ cm}$, $CD = 6 \text{ cm}$ and angle $ACD = 90^{\circ}$.Find the total a...

2017 Summer

Theory

CH1 - Number

Work out.(a) \( 3 - 0.018 \) .......................................... [1](b) \( 0.04^2 \) .......................................... [1](c) \( \frac...

2021 Summer

Theory

CH1 - Number

(a) Write 5249.6 correct to two significant figures. ....................................................... [1] (b) Write 0.0030626 correct to three...

2021 Summer

Theory

CH1 - Number

A car travels 300 metres in 20 seconds.Find the average speed of the car in(a) metres per second, .......................................................

2021 Summer

Theory

CH2 - Algebra

Solve. (a) \( 2 - 4(5 - 2x) = 0 \) \( x = \text{...........................................} \) [2] (b) \(|2x - 5| = 9\) \( x = \text{.................

2021 Summer

Theory

CH1 - Number

Find the value of(a) $64^{0}$, ......................................................... [1](b) $64^{\frac{1}{3}}$. .....................................

2021 Summer

Theory

CH5 - Geometry

A regular polygon has 30 sides.Find the size of one exterior angle.

2021 Summer

Theory

CH2 - Algebra

Factorise.(a) $12ax - 2by + 3ay - 8bx$ .............................................. [2](b) $5x^2 - 6x - 8$ ............................................

2021 Summer

Theory

CH6 - Vectors and transformations

(a) Work out $\begin{pmatrix} 12 \\ -5 \end{pmatrix} - 5 \begin{pmatrix} 4 \\ -1 \end{pmatrix}$. [2](b) Work out the magnitude of $\begin{pmatrix} -3 ...

2021 Summer

Theory

CH2 - Algebra

Rearrange this equation to make $x$ the subject.\[ \frac{a}{2x - 3} = \frac{b}{5x} \]$x$ = .............................

2021 Summer

Theory

CH8 - Trigonometry

(a) Solve.$$\sin x = \frac{1}{2} \text{ for } 0^\circ \leq x \leq 90^\circ$$$$x = \text{.......................................} \; [1]$$(b) Solve.$$\...

2021 Summer