Theory

CH4 - Coordinate geometry

The point $A$ has co-ordinates $(2, 8)$ and the point $B$ has co-ordinates $(6, 6)$.Find the equation of the perpendicular bisector of the line $AB$.

2015 Summer

Theory

CH4 - Coordinate geometry

A is the point (2, 8) and B is the point (6, 0).(a) Find the co-ordinates of the midpoint of AB.Answer(a) $(........................, ...................

2015 Summer

Theory

CH4 - Coordinate geometry

The diagram shows the lines $x = -2$, $y = \frac{1}{2}x + 1$ and $3x + 4y = 20$.(a) Use simultaneous equations to find the co-ordinates of the point $...

2015 Summer

Theory

CH4 - Coordinate geometry

(a) On the grid, show clearly the region defined by these inequalities. $$x \geq 1 \quad y \geq 2 \quad y \geq 2x - 3 \quad 3x + 5y \leq 30$$ [7](b)...

2015 Summer

Theory

CH4 - Coordinate geometry

P is the point (0, 4), Q is the point (6, 0) and R is the point (2, 7).(a) S is the point such that $\overrightarrow{RS} = \overrightarrow{QP}$.Find t...

2015 Summer

Theory

CH4 - Coordinate geometry

A is the point $(-4, 4)$ and B is the point $(4, 10)$. Find the equation of the perpendicular bisector of $AB$.

2015 Winter

Theory

CH4 - Coordinate geometry

Find the equation of the straight line passing through $(-2, -4)$ and $(2, 0)$. Answer $\text{.....................}$ [3]

2015 Winter

Theory

CH4 - Coordinate geometry

A is the point (2, 6) and C is the point (5, 4).The equation of the line $AB$ is $y + 4x = 14$.The equation of the line $BC$ is $y = x - 1$.(a) $B$ is...

2015 Winter

Theory

CH4 - Coordinate geometry

The line $2x + 3y = 36$ intersects the x-axis at $P$ and the y-axis at $Q$. $M$ is the midpoint of $PQ$.Find the column vector $\overrightarrow{OM}$ w...

2016 Summer

Theory

CH4 - Coordinate geometry

The points $A (3, 8)$ and $B (9, 0)$ are shown on the diagram below.Find the equation of the perpendicular bisector of the line $AB$.

2016 Winter

Theory

CH1 - Number

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

2018 Summer

Theory

CH5 - Geometry

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

2018 Summer

Theory

CH2 - Algebra

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

2018 Summer

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

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

Theory

CH2 - Algebra

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

2018 Summer

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

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

Theory

CH2 - Algebra

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

2018 Summer

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