Theory

CH2 - Algebra

Factorise completely.(a) $12x^2 - 27xy$ .......................................................[2](b) $4a^2 + 8ab - ac - 2bc$ ...........................

2016 Summer

1

Theory

CH2 - Algebra

Solve.$$ \frac{x}{2} - \frac{x+1}{3} = 2 $$

2016 Summer

2

Theory

CH2 - Algebra

Solve.$2x + 3 > 2(3x - 1)$

2016 Summer

2

Theory

CH2 - Algebra

(a) Solve.$$7x + 2 = 11$$$x = \text{.................................................}$ [2](b) Write as a single fraction, in its simplest form.$$\fra...

2016 Winter

1

Theory

CH2 - Algebra

Multiply out the brackets and simplify. $(2\sqrt{3} - 1)(\sqrt{3} + 2)$

2016 Winter

1

Theory

CH2 - Algebra

Solve the equation. \(|x - 3| = 1\)

2016 Winter

1

Theory

CH2 - Algebra

x is positive and $x^8 = 3^4$.Find the exact value of x.$x = \text{...............................}$ [2]

2016 Winter

2

Theory

CH2 - Algebra

The roots of the quadratic equation $x^2 + ax + b = 0$ are 5 and -2.Find the value of $a$ and the value of $b$.$a = \text{...............................

2016 Winter

2

Theory

CH2 - Algebra

y is inversely proportional to the square root of \( (x - 3) \).When \( x = 7, y = 3 \).Find \( y \) in terms of \( x \).\[ y = \text{...................

2016 Winter

3

Theory

CH2 - Algebra

Given the equation $v = u + at$: (a) Find $v$ when $u = 5$, $a = -1$ and $t = 1.5$. $v =$ ext{.................................} [2] (b) Rearrange...

2016 Winter

1

Theory

CH1 - Number

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

2021 Summer

2

Theory

CH1 - Number

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

2021 Summer

2

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

2

Theory

CH2 - Algebra

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

2021 Summer

2

Theory

CH1 - Number

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

2021 Summer

1

Theory

CH5 - Geometry

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

2021 Summer

2

Theory

CH2 - Algebra

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

2021 Summer

1

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

1

Theory

CH2 - Algebra

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

2021 Summer

1

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

2