Theory

CH3 - Functions

The diagram shows a sketch of the graph of $y = ax^2 + bx$.$O$ is the point (0, 0), $P$ is the point (4, 0) and $Q$ is the point (8, 96).Find the valu...

2016 Summer

2

Theory

CH3 - Functions

f(x) = 3x + 1 \hspace{1cm} g(x) = \log x (a) Find the value of g(f(33)). ............................................... [2] (b) Find the value of x...

2016 Winter

1

Theory

CH3 - Functions

f(x) = 2^{\sin x}(a) On the diagram, sketch the graph of $y = f(x)$ for $-360^\circ \leq x \leq 360^\circ$. [3](b) Find the range of $f(x)$. [2](c) F...

2016 Winter

2

Theory

CH3 - Functions

(a) $2 \log 3 = \log k$Find the value of $k$.$k =$ ............................................................ [1](b) $\log 5 - \log 2 = \log p$Find ...

2016 Winter

2

Theory

CH3 - Functions

(a) On the diagram, sketch the graph of $y = f(x)$ for values of $x$ between -4 and 4. [2](b) Find the zeros of $f(x)$...................................

2016 Winter

1

Theory

CH3 - Functions

log y = 2 \log 3 + 3 \log 2 - \log 6Find the value of y.y = .................................................... [3]

2016 Summer

1

Theory

CH3 - Functions

Describe fully the \textit{single} transformation that maps the graph of $y = \cos x$ onto the graph of $y = 3 \cos x$.

2016 Summer

1

Theory

CH3 - Functions

(a) On the diagram, sketch the graph of $y = f(x)$ for values of $x$ between $-6$ and $6$. [3](b) Write down the equations of the asymptotes of the gr...

2016 Winter

2

Theory

CH3 - Functions

(a) On the diagram, sketch the graph of $y = f(x)$, for values of $x$ between $-2$ and $8$. [4] (b) Write down the $y$ co-ordinates of the local mini...

2016 Winter

3

Theory

CH3 - Functions

(a) Find $\log_5 25$. .......................................................... [1](b) $2 \log 3 - \log 5 = \log p$Find $p$.$p = \text{.................

2016 Winter

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