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) $(0.3)^2$ ............................................................... [1](b) $\frac{4}{9} - \frac{1}{6}$ ...............................

2019 Summer

1

Theory

CH1 - Number

Divide 360 in the ratio 7 : 2. ...................., ............................. [2]

2019 Summer

1

Theory

CH5 - Geometry

ABC is a triangle.FED and BCD are straight lines.Work out angle $EDC$.Angle $EDC = \text{..........................................................}$

2019 Summer

1

Theory

CH2 - Algebra

Expand and simplify.$4(3x + y) - 3(x - 2y)$

2019 Summer

2

Theory

CH1 - Number

Sacha drove 425 km from home at an average speed of 100 km/h.(a) Calculate the time for the journey giving your answer in hours and minutes..............

2019 Summer

1

Theory

CH2 - Algebra

(a) Write down the integer solutions to this inequality. $$-2 \leq 2x < 8$$ ....................................................................... [...

2019 Summer

1

Theory

CH1 - Number

Work out $(5.2 \times 10^{18}) - (2.4 \times 10^{17})$. Give your answer in standard form.

2019 Summer

1

Theory

CH1 - Number

A map is drawn to a scale of 1 cm to 5 km.(a) On the map, the distance between two towns is 4.8 cm.Find the actual distance between the towns............

2019 Summer

1

Theory

CH2 - Algebra

Factorise completely.$2x^2 - 18$

2019 Summer

1

Theory

CH9 - Sets

U = \{ \text{integers from 1 to 12} \} A = \{1, 2, 4, 5, 12\} B = \{2, 3, 4, 6, 10\} C = \{1, 2, 8, 9, 10\} (a) Complete the Venn Diagram. [2] (b...

2019 Summer

2