1. Write these ratios in their simplest form:
10: 5 8 : 10 c 12 : 4 8 : 10 12 : 20 f 30 : 12
2. Write these ratios as fractions in their simplest form:
10 : 20 5 : 10 c 4 : 12 6 : 10 12 : 20 f 16 : 24
3. Express the following ratios as percentages
15 : 30 2 : 4 c 6 : 24 4 : 10 16 : 20 f 18 : 24
4. Make the units of the following ratios the same and then simplify:
(a) 500 g : 2 kg
(b) $3.00 : 50c
(c) 4 km : 1000 m
(d) 20 minutes : 1 hours
5. Find the missing value for these equivalent ratios:
|
a
|
2 : 3 = x : 6 |
b
|
2 : 4 = 10 : y | c | 16 : 24 = z : 30 |
|
6. I am very hungry. |
|
7. Two people buy a house for $200, 000. Pierre puts in $50, 000 and Milo puts in $150, 000. If they sell the house a year later for $300, 000, how much should each person get?
8. Write the following rates in the units given
|
a
|
300 kilometres in 6 hours | km / h |
|
b
|
100 metres in 10 seconds | m / s |
|
c
|
2000 revolutions in 2 hours | revs/ h |
|
d
|
$80 in 5 days | $/ day |
|
e
|
30 grams per 10 cubic centimetres | g/cm3 |
|
f
|
$500 in 2 weeks | $/ week |
| 9. |
(a) A car travels from Auckland to Hamilton, a distance of 160 km, in 2 hours. What is its average speed? (b) The car mentioned above uses 20 litres of fuel. What was its fuel consumption in km/ litre? (c) If the car is rented and costs $90 and there are 3 people, how much does the rental cost per person? (d) The petrol costs $24. What is the total cost (rental plus petrol) per person? |
 |
