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

2

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

1

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

2

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

2

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

2

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

1

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

2

Theory

CH7 - Mensuration

The volume of a cube is $27 ext{ cm}^3$.Find the total surface area.

2017 Winter

2

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

2

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

2

Theory

CH1 - Number

Work out.$(0.6)^2$..................................................... [1]

2017 Summer

3

Theory

CH1 - Number

(a) Write the fraction \( \frac{16}{60} \) in its lowest terms. ............................................. [1] (b) Work out. \( \frac{4}{11} + \f...

2017 Summer

2

Theory

CH2 - Algebra

Expand. $x(x^3 - 4x)$ ............................................................... [2]

2017 Summer

2

Theory

CH1 - Number

Change 430 $cm^2$ into $m^2$................................ $m^2$

2017 Summer

1

Theory

CH1 - Number

Write down the value of $16^0$.

2017 Summer

2

Theory

CH1 - Number

Find the lowest common multiple (LCM) of 20 and 24.

2017 Summer

1

Theory

CH3 - Functions

f(x) = x^3 - 2Find the value of x when f(x) = 25.x = .................................. [2]

2017 Summer

1

Theory

CH5 - Geometry

Find the value of x.x = \text{..............................} [3]

2017 Summer

1

Theory

CH2 - Algebra

Solve the simultaneous equations.$$4x + 3y = 0$$$$2x - y = 5$$$$x = \text{....................................}$$$$y = \text{............................

2017 Summer

2

Theory

CH6 - Vectors and transformations

Find $|p|$, giving your answer in the form $3\sqrt{a}$. Where $p = \begin{pmatrix} 6 \\ 3 \end{pmatrix}$.

2017 Summer

1