Theory

CH3 - Functions

(a) On the diagram, sketch the graph of $y = f(x)$ for $-10 \leq x \leq 3$. [2] (b) Write down the x co-ordinate of the point where the curve crosses...

2015 Summer

1

Theory

CH3 - Functions

(a) Simplify.6x - 3y + 2x + yAnswer(a) ....................................................... [2](b) Find the value of $2a + b + 3c$ when $a = 3, b =...

2015 Summer

3

Theory

CH3 - Functions

Given the function $f(x) = 0.5x^3 - x^2 - 9.5x + 10$.(a) On the diagram, sketch the graph of $y = f(x)$ for $-5 \leq x \leq 6$. [2](b) Find the co-or...

2015 Winter

2

Theory

CH3 - Functions

Write down the equations of the two asymptotes of the graph..............................................................................................

2017 Winter

2

Theory

CH3 - Functions

The diagram shows the graph of $y = f(x)$.[Image_1: Graph of $y = f(x)$]Write down the equations of the two asymptotes of the graph.\textbf{Answer} .....

2015 Winter

2

Theory

CH3 - Functions

The diagram shows the graph of $y = x^2 - 4x + 8$ for $0 \leq x \leq 4$.Write down the equation of the line of symmetry of this graph.

2015 Winter

2

Theory

CH3 - Functions

When $f(x) = \frac{6}{x}$, find (a) $f(2)$, ...................................................... [1] (b) $f(-2)$, ...................................

2017 Winter

2

Theory

CH3 - Functions

The function $f(x) = x^2$ is defined for $-3 \le x \le 6$.Write down the range of $f(x)$.

2017 Summer

2

Theory

CH3 - Functions

Describe the single transformation that maps the graph of $y = \frac{1}{x}$ onto the graph of $y = \frac{1}{x+3}$.

2017 Summer

2

Theory

CH3 - Functions

(a) On the diagram, sketch the graph of $y = f(x)$ for $-3 \leq x \leq 1$. [2](b) Write down the $y$ co-ordinate of the point where the graph crosses ...

2015 Summer

3

Theory

CH1 - Number

Here is a bus timetable.[Table_1](a) Find how many minutes it takes Bus 4 to travel from A to E.Answer(a) ...............................................

2015 Summer

2

Theory

CH1 - Number

Find the lowest common multiple (LCM) of 2 and 5. Answer ...........................

2015 Summer

3

Theory

CH5 - Geometry

Shade three more squares so that the diagram has rotational symmetry of order 4.

2015 Summer

2

Theory

CH5 - Geometry

Measure and write down the size of the angles marked $x$ and $y$.$x = \text{.....................}$$y = \text{.....................}$

2015 Summer

2

Theory

CH5 - Geometry

From the list above, write down the mathematical name of each of the following shapes.(a) Answer(a) .....................................................

2015 Summer

3

Theory

CH1 - Number

(a) Write $4 \times 4 \times 4$ as a power of 4.Answer(a) ............................................................. [1](b) Write down the value of...

2015 Summer

3

Theory

CH4 - Coordinate geometry

(a) Write down the co-ordinates of $P$.Answer(a) $\; (\text{.....................} , \text{.....................}) \; [1]$(b) Write down the co-ordina...

2015 Summer

3

Theory

CH1 - Number

(a) (i) The mass of a blue whale is 180000 kg. Write 180000 in standard form.Answer(a)(i) .............................. [1](ii) Change 180000 kg into...

2015 Summer

2

Theory

CH6 - Vectors and transformations

Point $A$ has co-ordinates $(1, 4)$. Point $B$ has co-ordinates $(6, 3)$.Write $\overrightarrow{AB}$ as a column vector.You may use the grid to help y...

2015 Summer

3

Theory

CH11 - Statistics

The scatter diagram shows the marks of 10 students in a mathematics test and in a physics test. (a) What type of correlation is shown on the scatt...

2015 Summer

2