Week 6

Ratios

100

Simplify the ratio 2:6

1:3

200

Simplify the ratio 18:3

6:1

300

Split 18 fruits into the ratio of 2 apples: 1 orange

12 apples: 6 oranges

400

A group of 40 students of boys and girls in the ratio of 3 boys: 5 girls

15 boys: 25 girls

500

Ryan and Adam share 84 sweets between each other on a ratio of 7:5. How many do each of them get?

Ryan: 49

Adam: 35

Multiplying and Dividing Fractions

100

1/3 x 1/2

1/6

200

Give your answer in its simplest form 

2/3 x 5/4

5/6

300

Give your answer in its simplest form

3/4 divided by 2/5

15/8

400

Give your answer in its simplest form

4/5 divided by 7/8

32/35

500

There is 2/3 of a pie left over. You decide to eat 2/5 of what is remaining. What fraction of the whole pie have you ate?

2/3 x 2/5 = 4/15

Fractions

100

2/5 + 1/4

8/20 + 5/20 = 13/20

200

3/4 - 2/3

9/12 - 8/12 = 1/12

300

Write the following as a fraction in its simplest form

a) $45 out of $100

b) 12kg out of 80kg

a) 9/20

b) 3/20

400

Which fraction is larger?

7/10, 11/15

11/15

500

Write the following decimals as their simplest fractions:

a) 0.075

b) 6.45

a) 75/1000 = 3/40

b) 645/100 = 129/20 or 6 9/20

Positive and negative integers

100

5 + (-6)

-1

200

4 x (-7)

-28

300

a) -5 x (-6)

b) 48/ (-6)

a) 30

b) -8

400

a) (-4)^2

b) (-7)^2

a) 16

b) 49

500

a) -100/(-4)

b) -428/2

a) 25

b) -214

Rates

100

Mark earns $60 over 5 hours. How much does he earn per hour?

$12 per hour

200

You travel 180km over 3 hours. What speed have you averaged over this time?

60km/h

300

Find the average speed of:

a) a car travelling 100km in 2 hours

b) a bike travelling 45km in 3 hours

a) 50km/h

b) 15km/h

400

What is the best buy? 2kg of meat for $11 or 3kg for $16

3Kg

500

Find the rate of $ per kg if you spend $4.25 for 1/4kg

$17