Writing as ratios - simplest form

Question 1

What is a ratio?

Answer 1

Ratios are used to compare quantities of the same kind and the quantities must be measured in the same units

Question 2

For every 3 girls in Mr Hagerty’s class their are 4 boys. What is the ration of boys to girls in the class?

Answer 2

4:3

Question 3

In a fruit cocktail for every 7ml of orange juice you need 6ml of apple juice and 13ml of coconut juice. What is the ratio of apple juice to coconut juice to orange juice?

Answer 3

5ml:13ml:7ml

Question 4

Colin and Brian are marking exam papers. Each class set takes Collin 43 minutes and takes Brian 1 hour. Express the times Collin and Brian take as a ratio?

Answer 4

1 hour is equal to 60 minutes.

43 minutes:60 minutes

Question 5

For every 7mm of coloured fabric. Henry uses making his curtains he uses 9cm of white fabric. Express the amount of white to coloured fabric used as a ratio.

Answer 5

9cm to mm*10 = (Converting cm to mm you have to times by 10)
7mm:90mm

Question 6

For every 1 litre of water used to make a medicine 231ml of sucrose and 13ml of saline solution are used. Express the amount of water, sucrose, and saline solution are needed as a ratio.

Answer 6

1litre=1000ml

231ml:13ml

Question 7

To make 100g of jam you need 53g of strawberry’s, 17g blackberries and the rest is sugar. What is the ratio of blackberries to strawberry’s?

Answer 7

53+17=70
100-70=30
17g:30g

Question 8

For every pound a company spends on advertising it sends 51p on its website. Express the amount on advertising to its website as a ratio in its simplest form

Answer 8

1pound=100p
100p:51p
(You cant simplify it anymore, and always check if it asks u to simplify it or not)

Question 9

For each 9mm of coloured fabric Sarah uses to make her curtains and she also uses 2cm of fabric. Express the amount of white fabric to coloured fabric.

Answer 9

cm -> mm = 10
2cm10=20cm
20mm:9mm

Question 10

(a) Simplify the ratio 25 : 35
(b) Simplify the ratio 18 : 45
(c) Simplify the ratio 300 : 25

Answer 10

5: 7
2: 5
12: 1

Question 11

Divide £700 in the ratio 5 : 3 : 2

Answer 11

5+3+2=10
700/10=70
5*70=350
3*70=210
2*70=140
350:210:140

Question 12

Sophie has 60 pencils.
The ratio of sharpened pencils to blunt pencils is 4:1
How many sharpened pencils does Sophie have?

Answer 12

4+1=5
60/5=12
12*4=48
The sharpened pencils that Sophie has is 48

Question 13

Sarah has some chocolates.
24 are white chocolate.
16 are milk chocolate.
8 are dark chocolate.
(a) Write down the ratio of white chocolate to milk chocolate to dark chocolate.
 Give your ratio in its simplest form.

Answer 13

24: 16:8 (simplified)
12: 8:4
6: 4:2
3: 2:1

Question 14

Chris and Molly win money in a competition.
They share the money in the ratio 2 : 3
Molly receives £240.
(a) How much money does Chris receive?

Answer 14

240/3=80
80*2=160
Chris receives £120

Question 15

Divide £945 in the ratio 2 : 5

Answer 15

5+2=7
945/7=135
1352=270
1355=675

Question 16

At a rugby match, the ratio of children to adults is 2 : 3
There are 80 children in the crowd.
Each adult ticket costs £8
Each child ticket costs a quarter of the adult ticket.
Work out the total money made from ticket sales.

Answer 16

80/2=40
40*3=120 adults
£8*120=960
£2*80=160
160+960=1120
Answer=1120