1.
2 : 1 4 : 5 c 3 : 1 4 : 5 3 : 5 f 5 : 2
2.
1/ 2 1/ 2 c 1/ 3 3/ 5 3/ 5 f 2/ 3
3.
50% 50% c 25% 40% 80% f 75%
4.
(a) 500 g : 2 kg = 500 g : 2000 kg = 500 : 2000 = 1 : 4
(b) $3.00 : 50c = 300 c : 50 c = 300 : 50 = 6 : 1
(c) 4 km : 1000 m = 4000 m : 1000 m = 4000 : 1000 = 4 : 1
(d) 20 minutes : 1 hours = 20 min : 60 min = 20 : 60 = 1 : 3
5.
|
a
|
2 : 3 = x : 6 x = 4 |
b
|
2 : 4 = 10 : y y = 20 |
c | 16 : 24 = z : 30 z = 20 |
|
6. A ratio of 3 : 1 means there are 3 + 1 = 4 parts altogether. I get 3 x 2 slices = 6 slices, |
|
7. The ratio when they bought the house was Pierre : Milo = $50 000 : $150 000 = 1 : 3
There are 1 + 3 = 4 parts altogether.
If they sell the house for $300 000, each part is $300 000 ÷ 4 = $75 000
Therefore Pierre get 1 x $75 000 = $75 000
Milo get 3 x $75 000 = $225 000
8.
|
a
|
300 kilometres in 6 hours | 50 km / h |
|
b
|
100 metres in 10 seconds | 10 m / s |
|
c
|
2000 revolutions in 2 hours | 1000 revs/ h |
|
d
|
$80 in 5 days | $16/ day |
|
e
|
30 grams per 10 cubic centimetres | 3g/cm3 |
|
f
|
$500 in 2 weeks | 250$/ week |
| 9. |
(a) Average speed = 160 ÷ 2 = 80 km/h (b) Fuel consumption = 160 ÷ 20 = 8 km/ L (c) Rental per person = 90 ÷ 3 = $30/ person (d) Total cost per person = (90 + 25) ÷ 3 = $38/ person |
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