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

1

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

3

Theory

CH8 - Trigonometry

The diagram shows a triangular prism with a horizontal base $ABCD$. $X$ is a point on the line $AQ$. $AB = 20 \text{cm}$, $BC = 10 \text{cm}$, $CQ = 9...

2016 Winter

2

Theory

CH8 - Trigonometry

Roberta starts from a point A and walks 1 km North to a point B. She then walks 2 km East to a point C, then walks 3 km South to a point D and finally...

2016 Winter

2

Theory

CH8 - Trigonometry

(a) $\cos x = \frac{1}{3}$ for $0^\circ < x < 90^\circ$.Find the exact value of $\sin x$.Give your answer as a surd.$\sin x = \text{.....................

2016 Winter

2

Theory

CH8 - Trigonometry

A ship sails on the following course. 60 km on a bearing of 025\degree from $A$ to $B$ 80 km on a bearing of 115\degree from $B$ to $C$ 75 km on ...

2016 Winter

2

Theory

CH8 - Trigonometry

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

2015 Summer

2

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

1

Theory

CH8 - Trigonometry

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

2015 Winter

2

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

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