## Rates Ratios Exercise

1. Write these ratios in their simplest form:

 a 10: 5 b 8 : 10 c 12 : 4 d 8 : 10 e 12 : 20 f 30 : 12

2. Write these ratios as fractions in their simplest form:

 a 10 : 20 b 5 : 10 c 4 : 12 d 6 : 10 e 12 : 20 f 16 : 24

3. Express the following ratios as percentages

 a 15 : 30 b 2 : 4 c 6 : 24 d 4 : 10 e 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.A pizza is to be split in the ratio of 3:1 so that I get three times as much as my friend.If the pizza is cut into 8 slices, how many would I get?

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?