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

CH7 - Mensuration

A cuboid has a square base of side 10 cm and a volume of 1200 cm^3.Work out the height of the cuboid.

2020 Summer

Theory

CH6 - Vectors and transformations

p = \begin{pmatrix} 3 \\ -1 \end{pmatrix} \quad q = \begin{pmatrix} 1 \\ -2 \end{pmatrix}(a) Find \ \mathbf{p+q}. \ \begin{pmatrix} \ \ \ \ \ \ \ \ \e...

2020 Summer

Theory

CH1 - Number

Work out $\frac{3}{4} \div 2\frac{1}{2}$.Give your answer as a fraction in its lowest terms.

2020 Summer

Theory

CH1 - Number

A truck of length 10 m passes a gate of length 2 m. The speed of the truck is 8 m/s.Find the time the truck takes to completely pass the gate.

2020 Summer

Theory

CH7 - Mensuration

Find the volume of a cone with radius 3 cm and perpendicular height 8 cm. Give your answer in terms of $\pi$. .......................................$...

2020 Summer

Theory

CH8 - Trigonometry

Work out the value of $x$.$x = \text{...........................}$

2020 Summer

Theory

CH2 - Algebra

Simplify.(a) \( \frac{15w^{15}}{3w^3} \) .............................................................. [2](b) \( (125y^6)^{\frac{2}{3}} \) .............

2020 Summer

Theory

CH2 - Algebra

Rearrange the formula to write $h$ in terms of $\pi$, $r$ and $A$.$A = 2\pi rh + 3\pi r^2$$h = \text{.................................}$ [2]

2020 Summer

Theory

CH5 - Geometry

A, B \text{ and } C \text{ are points on a circle.}T\!A \text{ is a tangent to the circle at } A.C\!A = C\!B \text{ and angle } B\!A\!T = 70^\circ.\te...

2020 Summer

Theory

CH1 - Number

When Jack sells a computer for $264 he makes a profit of 20%.Work out the price Jack paid for the computer.$ ..............................

2020 Summer