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

(a) Work out $5 - 7 \times 2 + 8$.............................................. [1](b) Find $\sqrt[3]{0.001}$............................................

2018 Summer

2

Theory

CH5 - Geometry

(a) Find, by measuring, the size of this reflex angle. .........................................................[1](b) Work out the value of $x$. NOT...

2018 Summer

1

Theory

CH2 - Algebra

Solve these simultaneous equations. $x - 3y = 7$ $x - 2y = 5$ $x = \text{.................................}$ $y = \text{.................................

2018 Summer

2

Theory

CH1 - Number

(a) Write 0.68 as a fraction in its lowest terms......................................................... [1](b) Work out $\frac{3}{7} \cdot \frac{8}{...

2018 Summer

2

Theory

CH2 - Algebra

These are the first five terms of a sequence.1 \quad 0 \quad 1 \quad 4 \quad 9Find the $n^{th}$ term of this sequence.

2018 Summer

2

Theory

CH2 - Algebra

(a) Expand and simplify.$(2p - 7q)(p + q)$ ..................................................[2](b) Factorise.$2 - t - 2a + at$ .........................

2018 Summer

2

Theory

CH5 - Geometry

O is the centre of the circle.Find the value of $x$ and the value of $y$.$x = \text{.............................}$$y = \text{...........................

2018 Summer

3

Theory

CH2 - Algebra

y varies inversely as x^2. When x = 3, y = 4.Find y in terms of x.y = \text{.......................................} [2]

2018 Summer

2

Theory

CH2 - Algebra

(a) Find the value of $27^{\frac{2}{3}}$. [1](b) Simplify $18h^{18} \div 3h^{3}$. [2]

2018 Summer

2

Theory

CH2 - Algebra

Given the equation $v^2 = u^2 - 2as$, find $s$ in terms of $a$, $u$, and $v$.$s = \text{.....................................................} \,[2]$

2018 Summer

2