Theory

CH4 - Coordinate geometry

A is the point (0, 6) and B is the point (4, 0).(a) Find the equation of the perpendicular bisector of $AB$. [5](b) The line $y = 2x + 3$ cuts the $y$...

2016 Winter

2

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

1

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

1

Theory

CH4 - Coordinate geometry

The diagram shows the points $A(-1, -1)$, $B(1, 3)$ and $C(6, 3)$. (a) The points $A$, $B$, $C$ and $D$ are the vertices of a parallelogram. Write dow...

2016 Winter

2

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

2

Theory

CH4 - Coordinate geometry

A is the point (3, 11) and B is the point (7, 3).Find the equation of the line AB, giving your answer in the form $y = mx + c$.$y =$ ext{...............

2017 Summer

2

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

1

Theory

CH4 - Coordinate geometry

A is the point (3, 6) and B is the point (−5, 10).(a) Work out the co-ordinates of the midpoint of AB.(......................, ........................

2017 Winter

2

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

1

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

2

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