Theory

CH5 - Geometry

(a) Write down the value of $x$.Answer(a) $x= \text{..................................................}$ [1](b) Find the value of $y$.Answer(b) $y= \t...

2015 Summer

Theory

CH5 - Geometry

A, B, C and D are points on the circle, centre O. P Q is a tangent to the circle at the point C. Angle PCD = 55^∘ and angle ADO = 40^∘. Find (a)...

2015 Summer

Theory

CH5 - Geometry

In the diagram, $A, B, C, D$ and $E$ are points on the circle. $AD$ is a diameter and angle $CAD = 35^\circ$. Find(a) angle $ACD$, Answer(a) ............

2015 Summer

Theory

CH5 - Geometry

A, B and C lie on a circle, centre O. AP and BP are tangents to the circle. AB intersects OP at the point X and angle OPB = 26°.  (a) Find...

2015 Summer

Theory

CH5 - Geometry

ABCD is a parallelogram. \( BFE \) and \( CDE \) are straight lines. (a) Explain why triangles \( AFB \) and \( DFE \) are similar. Answer(a) .........

2015 Summer

Theory

CH5 - Geometry

Work out the length of $AC$.

2015 Winter

Theory

CH5 - Geometry

A, B, C \text{ and } D \text{ lie on a circle, centre } O. Find the value of $x$ and the value of $y$. Answer $x = \text{................................

2015 Winter

Theory

CH5 - Geometry

A, B, C, and D lie on a circle, centre O.AD is parallel to OC and angle $ADC = 108^{\circ}$.Find(a) angle $ABC$,Answer(a) ...............................

2015 Winter

Theory

CH5 - Geometry

In triangle $ABC$, $AB = \sqrt{48}$ cm, $AC = 8$ cm and angle $ABC = 90^\circ$.Find(a) $BC$,Answer(a) \text{.............................} \text{ cm} ...

2015 Winter

Theory

CH5 - Geometry

Find the length of the hypotenuse of the triangle. Answer ............................................. cm

2015 Winter

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