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

(a) Work out $5 - 7 \times 2 + 8$.............................................. [1](b) Find $\sqrt[3]{0.001}$............................................

2018 Summer

Theory

CH5 - Geometry

(a) Find, by measuring, the size of this reflex angle. .........................................................[1](b) Work out the value of $x$. NOT...

2018 Summer

Theory

CH2 - Algebra

Solve these simultaneous equations. $x - 3y = 7$ $x - 2y = 5$ $x = \text{.................................}$ $y = \text{.................................

2018 Summer

Theory

CH1 - Number

(a) Write 0.68 as a fraction in its lowest terms......................................................... [1](b) Work out $\frac{3}{7} \cdot \frac{8}{...

2018 Summer

Theory

CH2 - Algebra

These are the first five terms of a sequence.1 \quad 0 \quad 1 \quad 4 \quad 9Find the $n^{th}$ term of this sequence.

2018 Summer

Theory

CH2 - Algebra

(a) Expand and simplify.$(2p - 7q)(p + q)$ ..................................................[2](b) Factorise.$2 - t - 2a + at$ .........................

2018 Summer

Theory

CH5 - Geometry

O is the centre of the circle.Find the value of $x$ and the value of $y$.$x = \text{.............................}$$y = \text{...........................

2018 Summer

Theory

CH2 - Algebra

y varies inversely as x^2. When x = 3, y = 4.Find y in terms of x.y = \text{.......................................} [2]

2018 Summer

Theory

CH2 - Algebra

(a) Find the value of $27^{\frac{2}{3}}$. [1](b) Simplify $18h^{18} \div 3h^{3}$. [2]

2018 Summer

Theory

CH2 - Algebra

Given the equation $v^2 = u^2 - 2as$, find $s$ in terms of $a$, $u$, and $v$.$s = \text{.....................................................} \,[2]$

2018 Summer