Theory

CH5 - Geometry

(a) Shade two more squares so that this shape has exactly one line of symmetry. [1](b) Shade two more triangles so that this shape has rotational sym...

2016 Summer

6

Theory

CH5 - Geometry

A, B, C \text{ and } D \text{ are points on the circle centre } O.Angle BOD = 130^{\circ}.(a) Find angle DCB.Angle DCB = \text{..........................

2016 Summer

2

Theory

CH5 - Geometry

From the list above, write down the letter which hasline symmetry only, ...........................................line symmetry and rotational symmet...

2016 Winter

2

Theory

CH5 - Geometry

The interior angle of a regular polygon is 176°. Work out how many sides the polygon has.

2016 Winter

1

Theory

CH5 - Geometry

A, B, C \text{ and } D \text{ lie on the circle, centre } O. Work out the value of \( y \). \( y = \text{...............................} \) \quad...

2016 Winter

1

Theory

CH5 - Geometry

In the diagram, $DC$ is parallel to $AB$ and $AC = AB$.Work out angle $ACB$.Angle $ACB = \text{..........................}$

2016 Summer

1

Theory

CH5 - Geometry

A, B and C lie on a circle, centre O. The line QBP is a tangent to the circle at B. AC = BC = BP and angle QBA = 42°. Find the value of (a) angle O...

2016 Winter

3

Theory

CH5 - Geometry

(a) A regular polygon has 12 sides. Work out the sum of the interior angles of the polygon. .............................................................

2016 Summer

3

Theory

CH5 - Geometry

OABC is a parallelogram.P is the midpoint of \(CB\).\(CQ : QA = 5 : 3\).\(\overrightarrow{OA} = \mathbf{a}\) and \(\overrightarrow{OC} = \mathbf{c}\)....

2016 Winter

1

Theory

CH5 - Geometry

The diagram shows a pentagon.Find the value of $x$.$x = \text{........................................}$ [3]

2016 Winter

2

Theory

CH7 - Mensuration

A cuboid has a square base of side 10 cm and a volume of 1200 cm^3.Work out the height of the cuboid.

2020 Summer

1

Theory

CH6 - Vectors and transformations

p = \begin{pmatrix} 3 \\ -1 \end{pmatrix} \quad q = \begin{pmatrix} 1 \\ -2 \end{pmatrix}(a) Find \ \mathbf{p+q}. \ \begin{pmatrix} \ \ \ \ \ \ \ \ \e...

2020 Summer

1

Theory

CH1 - Number

Work out $\frac{3}{4} \div 2\frac{1}{2}$.Give your answer as a fraction in its lowest terms.

2020 Summer

1

Theory

CH1 - Number

A truck of length 10 m passes a gate of length 2 m. The speed of the truck is 8 m/s.Find the time the truck takes to completely pass the gate.

2020 Summer

1

Theory

CH7 - Mensuration

Find the volume of a cone with radius 3 cm and perpendicular height 8 cm. Give your answer in terms of $\pi$. .......................................$...

2020 Summer

1

Theory

CH8 - Trigonometry

Work out the value of $x$.$x = \text{...........................}$

2020 Summer

1

Theory

CH2 - Algebra

Simplify.(a) \( \frac{15w^{15}}{3w^3} \) .............................................................. [2](b) \( (125y^6)^{\frac{2}{3}} \) .............

2020 Summer

1

Theory

CH2 - Algebra

Rearrange the formula to write $h$ in terms of $\pi$, $r$ and $A$.$A = 2\pi rh + 3\pi r^2$$h = \text{.................................}$ [2]

2020 Summer

1

Theory

CH5 - Geometry

A, B \text{ and } C \text{ are points on a circle.}T\!A \text{ is a tangent to the circle at } A.C\!A = C\!B \text{ and angle } B\!A\!T = 70^\circ.\te...

2020 Summer

1

Theory

CH1 - Number

When Jack sells a computer for $264 he makes a profit of 20%.Work out the price Jack paid for the computer.$ ..............................

2020 Summer

1