Year 8 Mathematics
Ratio and Rates Practice Test 4
1 Look at the completed game of ‘noughts and crosses’ below and write down the ratios
of:
a) crosses to noughts
b) noughts to unmarked spaces.
2 Rewrite the following statement as a ratio: 7 mm to 1 cm.
3 Express the ratio 16 : 24 in simplest form.
4 Write the ratio of 1.5 m to 45 cm in simplest form.
5 Simplify the following ratios.
a)
6
2 7
:
5 10
b)
5 5
:
6 8
Write the following ratios in simplest form.
a)
2.1 to 3.5
b) 1.4 : 0.75
7
Use the cross-multiplication method to determine whether the following pair of
ratios is in proportion: 6 : 9; 24 : 36.
8
Find the value of a in the following proportion
9
At a party the ratio of girls to boys was 4 : 3. If there were 28 girls, how many boys were
there?
10
Which is the greater ratio in the following pair? 3 : 5; 2 : 3
11 Increase $25 in the ratio 6 : 5.
12
a 6
=
3 9
Decrease 55 kg in the ratio 3 : 5.
13 Share the amount $500 000 in the ratio 3 : 7.
14 Concrete mixture for a footpath was made up of 1 part of cement, 2 parts of sand and
4 parts of blue metal. How much sand was used to make 4.2 m2 of concrete?
ANSWERS
1 a)
4:3
b) 3 : 2
2
7 : 10
3
2:3
4
10 : 3
5
a) 4 : 7
b) 4 : 3
6
a) 3 : 5
b) 28 : 15
7 216 = 216 Therefore, the ratios are in proportion.
8
a=2
9
21 boys
10
2:3
11
$30
12
33 kg
13
First share is $150 000 Second share is $350 000
14 1.2 m2