Rates and Ratios
Rates and Ratios
Rates and Ratios
Indices
Indices
100
Simplify the following ratio:
24:6:72:48
4:1:12:8
100
A recipe uses flour and sugar in the ratio 2:1.
If you use 6 cups of flour, how much sugar is needed?
3
100
Divide $45 in the ratio 2:1.
$30:$15
100
What is 4 x 4 x 4 x 4 x 4 in index notation?
45
100
What is 1 000 000 in index notation?
106
200
A car travels 120 km in 2 hours.
Find its speed in km/h.
60km/h
200
Esther can run 5 kilometres in 20 minutes.
Running at the same speed, how long will it take Esther to run 3 kilometres?
12 minutes
200
Damon buys 25 kilograms of salt for his pool for $33.75.The salt can be purchased in 1 kilogram bags.How much does 9 kilograms of salt cost?
$12.15
200
Simplify the following:
82 x 8
83
200
Simplify:
3^5/3^2
33
300
The ratio of boys to girls is 3:4.
There are 28 students in total.
How many boys are there?
12 boys
300
Convert 72km/h into m/s
20m/s
300
What was Clive's speed during minutes 2-3?
160 m/min
300
What is 900 as a product of its prime factors?
22 x 32 x 52
300
What is 324 as a product of its prime factors?
22 x 34
400
Pete travelled 646 kilometres and used 76 litres of fuel.
Using the same rate of fuel consumption, how many litres of fuel will it take Pete to travel 272 km?
32L
400
Macton and Brownville are 15 centimetres apart on a map with a scale of 1:150 000. How far apart, in kilometres, are the two cities in real life?
22.5km
400
Simplify the following ratio:
4/7:1/2
8:7
400
Simplify the following:
x^9/(x^2)^3
x^3
400
Without using a calculator, evaluate:
(-10)^5
-100 000
500
A drawing of a fly in a textbook is 5.6cm long. The actual size of the fly is 8mm long. Calculate the scale used to draw the fly.
7:1
500
A box contains 48 cans of juice and 18 cans of soda.
How many cans of soda must be added so that the ratio of juice to soda becomes 3:2?
14
500
A car travels from Town A to Town B, a distance of 150 km.
- It travels the first 90 km at 60 km/h
- Then stops for 30 minutes
- It travels the remaining distance at 75 km/h
How long does the whole journey take?
2h 48min
500
Evaluate:
7a^0 - (a+b)^0
6
500
Evaluate:
2 xx y^0/(3(w-z^2)^0
2/3