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

(a) Work out $5 - 7 \times 2 + 8$.............................................. [1](b) Find $\sqrt[3]{0.001}$............................................

2018 Summer

2

Theory

CH5 - Geometry

(a) Find, by measuring, the size of this reflex angle. .........................................................[1](b) Work out the value of $x$. NOT...

2018 Summer

1

Theory

CH2 - Algebra

Solve these simultaneous equations. $x - 3y = 7$ $x - 2y = 5$ $x = \text{.................................}$ $y = \text{.................................

2018 Summer

2

Theory

CH1 - Number

(a) Write 0.68 as a fraction in its lowest terms......................................................... [1](b) Work out $\frac{3}{7} \cdot \frac{8}{...

2018 Summer

2

Theory

CH2 - Algebra

These are the first five terms of a sequence.1 \quad 0 \quad 1 \quad 4 \quad 9Find the $n^{th}$ term of this sequence.

2018 Summer

2

Theory

CH2 - Algebra

(a) Expand and simplify.$(2p - 7q)(p + q)$ ..................................................[2](b) Factorise.$2 - t - 2a + at$ .........................

2018 Summer

2

Theory

CH5 - Geometry

O is the centre of the circle.Find the value of $x$ and the value of $y$.$x = \text{.............................}$$y = \text{...........................

2018 Summer

3

Theory

CH2 - Algebra

y varies inversely as x^2. When x = 3, y = 4.Find y in terms of x.y = \text{.......................................} [2]

2018 Summer

2

Theory

CH2 - Algebra

(a) Find the value of $27^{\frac{2}{3}}$. [1](b) Simplify $18h^{18} \div 3h^{3}$. [2]

2018 Summer

2

Theory

CH2 - Algebra

Given the equation $v^2 = u^2 - 2as$, find $s$ in terms of $a$, $u$, and $v$.$s = \text{.....................................................} \,[2]$

2018 Summer

2