Theory

CH8 - Trigonometry

(a) Find $AC$. (b) Calculate angle $CAD$.(c) Calculate the area of the quadrilateral $ABCD$.

2015 Summer

Theory

CH8 - Trigonometry

The diagram shows a fence panel $ABCDE$.The vertical edges $AE$ and $BC$ are of length 120 cm and the horizontal base $EC$ is of length 180 cm.$D$ is ...

2015 Summer

Theory

CH8 - Trigonometry

(a) On the diagram, sketch the graph of $y = f(x)$ for values of $x$ between $-90$ and $360$. [3](b) Solve the equation $f(x) = 5$ for values of $x$ b...

2015 Summer

Theory

CH8 - Trigonometry

The diagram shows the plan of a field $ABCD$ with a path from $A$ to $C$. (a) Calculate(i) the obtuse angle $ABC$, Answer(a)(i) .........................

2015 Summer

Theory

CH8 - Trigonometry

The diagram shows a field $ABCD$ with a path from $A$ to $C$. $AC = 150\text{m}$, $AD = 120\text{m}$ and $CD = 235\text{m}$. Angle $ABC = 90^{\circ}...

2015 Summer

Theory

CH8 - Trigonometry

The graph of $y = a \cos(bx)^\circ$ has a maximum point at (360, 3) and a minimum point at (450, -3).Find the value of $a$ and the value of $b$.Answer...

2015 Winter

Theory

CH8 - Trigonometry

Calculate (a) $BC$, Answer(a) ............................................................. cm [2] (b) angle $CAD$, Answer(b) .......................

2015 Winter

Theory

CH8 - Trigonometry

In the diagram, $ABC$ is a straight line and $BFED$ is a rectangle. (a) Find $BC$.Answer(a) .............................................................

2015 Winter

Theory

CH8 - Trigonometry

The graph of $y = a \sin (x + b)^\circ$ is shown in the diagram.Find the value of $a$ and the value of $b$.$a = \text{...................................

2016 Summer

Theory

CH8 - Trigonometry

The diagram shows the graph of $y = a \sin(bx)^{\circ}$, for $0 \leq x \leq 90$.Find the value of $a$ and the value of $b$.$a = \text{...................

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