Stage 4 Test D
Question 1
a.[1]
Write the ratio 72:120 72 : 120\,72:120 in its simplest form.
b.[1]
In February, it rained on 47\displaystyle \frac{4}{7}74 of days
Write the ratio of the days it rained to the number of days it did not rain.
Question 2
Find 21% of £160
Question 3
Work out 56\displaystyle \frac{5}{6}65 of 42
Question 4
Here is a number machine.
a.[1]
What is the output when the input is -5?
b.[1]
What is the input when the output is 20?
c.[2]
Show that there is a value of the input for which the input and the output have the same value.
Question 5
A model car has the length of 12.5 cm.
The scale of the model is 1:40
Work out the length of the real car.
Give your answer in metres.
Question 6
a.[2]
Work out 59÷37\displaystyle \frac{5}{9} \div \frac{3}{7}95÷73
Give your answer as a mixed number in its simplest form.
b.[2]
Work out 145×38\displaystyle 1\frac{4}{5} \times \frac{3}{8}154×83
Question 7
You can use this graph to change between stones and kilograms.
a.[1]
Change 8 stones to kilograms.
b.[2]
Change 75 kilograms to stones.
Question 8
The frequency table shows the speeds of 100 cars.
| Speed (km/h) | Frequency |
|---|---|
| 0<s≤200 < s \leq 200<s≤20 | 3 |
| 20<s≤4020 < s \leq 4020<s≤40 | 14 |
| 40<s≤6040 < s \leq 6040<s≤60 | 28 |
| 60<s≤8060 < s \leq 8060<s≤80 | 21 |
| 80<s≤10080 < s \leq 10080<s≤100 | 17 |
| 100<s≤120100 < s \leq 120100<s≤120 | 6 |
Draw a frequency polygon to show this information.
Question 9
a.
[2]
Complete the table of values for y=6x−2y = 6x - 2y=6x−2
| xxx | -2 | -1 | 0 | 1 | 2 | 3 |
|---|---|---|---|---|---|---|
| yyy |
b.[2]
On the grid, draw the graph of y=6x−2y = 6x - 2y=6x−2 for values of x x\,x from -2 to 3
