Theory

CH3 - Functions

Solve.$\log x + \log 5 - \log 25 = \log 10$Answer $x=$ ..................................................

2015 Summer

Theory

CH3 - Functions

Given $f(x) = \frac{1}{3x - 2}$(a) Find $f(4)$.Answer(a) .......................................................... [1](b) Solve $f(x) = \frac{1}{4}$....

2015 Summer

Theory

CH3 - Functions

Solve the following equations.(a) $\log x + \log 3 = \log 12$$\text{Answer(a) } x = \text{....................................} \quad [1]$(b) $\log x ...

2015 Summer

Theory

CH3 - Functions

These are sketches of the graphs of six functions.In the table below are four functions. Write the correct letter in the table to match each function ...

2015 Summer

Theory

CH3 - Functions

(a) Find $\log_{5}\frac{1}{25}$. Answer(a)............................................................... [1](b) Find $x$ when (i) $\log x - \log 2 = ...

2015 Summer

Theory

CH3 - Functions

The diagram shows a sketch of the graph of $y = ax^2 + bx + c$.The graph goes through the points $(-3, 0)$, $(0, -12)$ and $(2, 0)$.Find the values $a...

2015 Summer

Theory

CH3 - Functions

(a) $y$ varies inversely as the square root of $x$. $y = 5$ when $x = 9$. (i) Find the value of $y$ when $x = 25$.Answer(a)(i) $y = \text{...............

2015 Summer

Theory

CH3 - Functions

The diagram shows a sketch of the graph of $y = f(x)$ where $f(x) = \frac{x^2 + 4x + 3}{x^2 - 4x + 3}$.(a) (i) Find the equations of the three asympto...

2015 Summer

Theory

CH3 - Functions

(a) On the diagram, sketch the graph of $y = f(x)$ for $-2 \leq x \leq 4$. [2](b) Find the co-ordinates of the local maximum point and the local minim...

2015 Summer

Theory

CH3 - Functions

f(x) = 5x - 2 \quad g(x) = \frac{6}{4x + 1} , \; x \neq \frac{1}{4} \quad h(x) = 5x^2 + 3x - 2(a) Find \; f(g(1)).\text{Answer(a)} \text{................

2015 Summer

Theory

CH1 - Number

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

2016 Summer

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

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

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

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

Theory

CH2 - Algebra

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

2016 Summer

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

Theory

CH2 - Algebra

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

2016 Summer

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

Theory

CH2 - Algebra

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

2016 Summer