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

1

Theory

CH1 - Number

Work out.(a) \( \frac{8}{0.04} \) .......................................................[1](b) \( \frac{4}{5} - \frac{1}{4} \) .........................

2016 Summer

3

Theory

CH5 - Geometry

(a) Shade two more squares so that this shape has exactly one line of symmetry. [1](b) Shade two more triangles so that this shape has rotational sym...

2016 Summer

5

Theory

CH1 - Number

By rounding each number to 1 significant figure, estimate the value of this calculation. Show all your working.$$\frac{11.37 \times 289}{52.3 + 99.6}$...

2016 Summer

5

Theory

CH1 - Number

Given $a = 2^5 \times 3^2 \times 7^3$ and $b = 2^3 \times 3^4 \times 5$.Leaving your answer as the product of prime factors, find(a) $b^2$, .............

2016 Summer

2

Theory

CH11 - Statistics

Luis has a large jar containing red, yellow, green and blue beads.He takes a bead at random from the jar, notes its colour and replaces it.He repeats ...

2016 Summer

1

Theory

CH2 - Algebra

Solve.$$ \frac{x}{2} - \frac{x+1}{3} = 2 $$

2016 Summer

1

Theory

CH9 - Sets

(a) Complete the Venn diagram by putting the numbers 2, 3, 4, 8, 12, 15 and 18 in the correct subsets. [2] (b) List the members of (i) $(E \cup F \...

2016 Summer

1

Theory

CH2 - Algebra

Solve.$2x + 3 > 2(3x - 1)$

2016 Summer

2

Theory

CH5 - Geometry

A, B, C \text{ and } D \text{ are points on the circle centre } O.Angle BOD = 130^{\circ}.(a) Find angle DCB.Angle DCB = \text{..........................

2016 Summer

2

Theory

CH2 - Algebra

Factorise completely.(a) $12x^2 - 27xy$ .......................................................[2](b) $4a^2 + 8ab - ac - 2bc$ ...........................

2016 Summer

1