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

1

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

1

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

1

Theory

CH8 - Trigonometry

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

2015 Summer

1

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

1

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

1

Theory

CH1 - Number

(a) Insert one pair of brackets to make the statement correct.$3 \times 7 + 2 + 9 = 36$ [1](b) Work out $(0.2)^3$. ......................................

2023 Summer

2

Theory

CH2 - Algebra

Solve the equation. $$7 - 5x = -3$$ $x = \text{.......................}$ [2]

2023 Summer

1

Theory

CH6 - Vectors and transformations

(a) Work out \( \begin{pmatrix} 1 \\ 2 \end{pmatrix} - \begin{pmatrix} -5 \\ 3 \end{pmatrix} \). \( \begin{pmatrix} \quad \\ \quad \end{pmatrix} \) [1...

2023 Summer

1

Theory

CH2 - Algebra

(a) Factorise.$$2p^2 - pq$$[1](b) Expand the brackets and simplify.$$(p - 7)(p + 3)$$[2]

2023 Summer

1

Theory

CH2 - Algebra

(a) Work out $\frac{11}{12} + \frac{3}{4}$.Give your answer as a mixed number in its simplest form. .....................................................

2023 Summer

1

Theory

CH6 - Vectors and transformations

Rotate triangle $T$ $90^{\circ}$ clockwise about the point $(2, 1)$.

2023 Summer

1

Theory

CH5 - Geometry

The interior angle of a regular polygon is 140°. Find the number of sides of this polygon.

2023 Summer

1

Theory

CH2 - Algebra

Rearrange this equation to make $x$ the subject.$y = 7x + 2$$x = \text{..............................}$ [2]

2023 Summer

1

Theory

CH2 - Algebra

Simplify \( (3w^3)^3 \).

2023 Summer

1

Theory

CH5 - Geometry

$APB$ is a tangent to the circle at $P$.Work out the value of $x$.$x = \text{..........................}$

2023 Summer