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

Work out.(a) \( \frac{8}{0.04} \) .......................................................[1](b) \( \frac{4}{5} - \frac{1}{4} \) .........................

2016 Summer

Theory

CH5 - Geometry

(a) Shade two more squares so that this shape has exactly one line of symmetry. [1](b) Shade two more triangles so that this shape has rotational sym...

2016 Summer

Theory

CH1 - Number

By rounding each number to 1 significant figure, estimate the value of this calculation. Show all your working.$$\frac{11.37 \times 289}{52.3 + 99.6}$...

2016 Summer

Theory

CH1 - Number

Given $a = 2^5 \times 3^2 \times 7^3$ and $b = 2^3 \times 3^4 \times 5$.Leaving your answer as the product of prime factors, find(a) $b^2$, .............

2016 Summer

Theory

CH11 - Statistics

Luis has a large jar containing red, yellow, green and blue beads.He takes a bead at random from the jar, notes its colour and replaces it.He repeats ...

2016 Summer

Theory

CH2 - Algebra

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

2016 Summer

Theory

CH9 - Sets

(a) Complete the Venn diagram by putting the numbers 2, 3, 4, 8, 12, 15 and 18 in the correct subsets. [2] (b) List the members of (i) $(E \cup F \...

2016 Summer

Theory

CH2 - Algebra

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

2016 Summer

Theory

CH5 - Geometry

A, B, C \text{ and } D \text{ are points on the circle centre } O.Angle BOD = 130^{\circ}.(a) Find angle DCB.Angle DCB = \text{..........................

2016 Summer

Theory

CH2 - Algebra

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

2016 Summer