Stage 4 Test A

Question 1

Change 18 metres to cm.

[1]

Question 2

Change 700 metres to kilometres.

[1]

Question 3

Work out $47\displaystyle \frac{4}{7}$ of 63

[2]

Question 4

Here is a number machine.

Input $⟶\longrightarrow$ $×4\boxed{\times 4}$ $⟶\longrightarrow$ $+7\boxed{+ 7}$ $\longrightarrow\,$ Output

What is the output when the input is 3?

[1]

What is the input when the output is 55?

[2]

Question 5

Write the ratio $16\,$ in its simplest form

[1]

$57\displaystyle \frac{5}{7}$ of chocolates in a box are white chocolate, the rest are milk chocolate.

Write the ratio of white chocolates to milk chocolates.

[1]

Question 6

A map has the scale of 1:50000

The distance between two points on the map is 15 cm.

Work out the real distance between the two points. Give your answer in kilometres.

[3]

Question 7

The frequency table shows the weight, in kg, of some cats.

Weight (kg)	Frequency
$\leq 1$	8
$\leq 2$	10
$\leq 3$	21
$\leq 4$	19
$\leq 5$	13
$\leq 6$	9

Draw a frequency polygon to show this information.

A blank coordinate grid for drawing a frequency polygon. The vertical axis is labeled 'Frequency' and ranges from 0 to 25 with major grid lines every 5 units and minor grid lines every 1 unit. The horizontal axis is labeled 'Weight (kg)' and ranges from 0 to 6 with major grid lines every 1 unit and minor grid lines every 0.2 units. The grid is 25 units high and 6 units wide.

[2]

Question 8

Work out $29+38\displaystyle \frac{2}{9} + \frac{3}{8}$

[2]

Work out $45÷27\displaystyle \frac{4}{5} \div \frac{2}{7}$

Give your answer as a mixed number in its simplest form.

[2]

Question 9

Which is greater 30% of 260 or 45% of 175

You must show your working.

[3]

Question 10

On the grid, draw the graph of $y = 2 x + 1$ for $x\,$ values from -3 to 3

A Cartesian coordinate system with a grid. The x-axis is labeled 'x' and ranges from -3 to 3 with major grid lines every 1 unit and minor grid lines every 0.2 units. The y-axis is labeled 'y' and ranges from -7 to 7 with major grid lines every 1 unit and minor grid lines every 0.2 units. The origin is labeled 'O'.

[3]

Use your graph to find the value of $x\,$ when $y = 1.8$

[1]