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

3

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

3

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.(a) $(0.3)^2$ ............................................................... [1](b) $\frac{4}{9} - \frac{1}{6}$ ...............................

2019 Summer

1

Theory

CH1 - Number

Divide 360 in the ratio 7 : 2. ...................., ............................. [2]

2019 Summer

1

Theory

CH5 - Geometry

ABC is a triangle.FED and BCD are straight lines.Work out angle $EDC$.Angle $EDC = \text{..........................................................}$

2019 Summer

1

Theory

CH2 - Algebra

Expand and simplify.$4(3x + y) - 3(x - 2y)$

2019 Summer

2

Theory

CH1 - Number

Sacha drove 425 km from home at an average speed of 100 km/h.(a) Calculate the time for the journey giving your answer in hours and minutes..............

2019 Summer

1

Theory

CH2 - Algebra

(a) Write down the integer solutions to this inequality. $$-2 \leq 2x < 8$$ ....................................................................... [...

2019 Summer

1

Theory

CH1 - Number

Work out $(5.2 \times 10^{18}) - (2.4 \times 10^{17})$. Give your answer in standard form.

2019 Summer

1

Theory

CH1 - Number

A map is drawn to a scale of 1 cm to 5 km.(a) On the map, the distance between two towns is 4.8 cm.Find the actual distance between the towns............

2019 Summer

1

Theory

CH2 - Algebra

Factorise completely.$2x^2 - 18$

2019 Summer

1

Theory

CH9 - Sets

U = \{ \text{integers from 1 to 12} \} A = \{1, 2, 4, 5, 12\} B = \{2, 3, 4, 6, 10\} C = \{1, 2, 8, 9, 10\} (a) Complete the Venn Diagram. [2] (b...

2019 Summer

2