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

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

1

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

1

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.$(0.6)^2$..................................................... [1]

2017 Summer

3

Theory

CH1 - Number

(a) Write the fraction \( \frac{16}{60} \) in its lowest terms. ............................................. [1] (b) Work out. \( \frac{4}{11} + \f...

2017 Summer

2

Theory

CH2 - Algebra

Expand. $x(x^3 - 4x)$ ............................................................... [2]

2017 Summer

2

Theory

CH1 - Number

Change 430 $cm^2$ into $m^2$................................ $m^2$

2017 Summer

1

Theory

CH1 - Number

Write down the value of $16^0$.

2017 Summer

2

Theory

CH1 - Number

Find the lowest common multiple (LCM) of 20 and 24.

2017 Summer

1

Theory

CH3 - Functions

f(x) = x^3 - 2Find the value of x when f(x) = 25.x = .................................. [2]

2017 Summer

1

Theory

CH5 - Geometry

Find the value of x.x = \text{..............................} [3]

2017 Summer

1

Theory

CH2 - Algebra

Solve the simultaneous equations.$$4x + 3y = 0$$$$2x - y = 5$$$$x = \text{....................................}$$$$y = \text{............................

2017 Summer

2

Theory

CH6 - Vectors and transformations

Find $|p|$, giving your answer in the form $3\sqrt{a}$. Where $p = \begin{pmatrix} 6 \\ 3 \end{pmatrix}$.

2017 Summer

1