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

1

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

2

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.$(0.6)^2$..................................................... [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