RATIO AND PROPORTIONRATIO AND PROPORTION

What is ratio?What is ratio? Ratio is a way of comparing amounts Ratio is a way of comparing amounts

of something. It shows how much of something. It shows how much bigger one thing is than another.bigger one thing is than another.

1 nursery nurse for every 3 children1 nursery nurse for every 3 children We would write this as 1:3 We would write this as 1:3

1 nursery nurse for every 3 1 nursery nurse for every 3 childrenchildrenRatio = 1:3Ratio = 1:3• If another 3 children joined the nursery, If another 3 children joined the nursery,

we would need another 1 nursery nurse we would need another 1 nursery nurse• We would now have 2 nursery nurses We would now have 2 nursery nurses

and 6 children. We could write this as and 6 children. We could write this as 2:62:6

• By cancelling the numbers down By cancelling the numbers down (dividing both numbers by 2) we end up (dividing both numbers by 2) we end up with the original ratio of 1:3with the original ratio of 1:3

QQ. In a nursery we need a ratio of 1 nursery nurse . In a nursery we need a ratio of 1 nursery nurse for every 3 children. How many nursery nurses do for every 3 children. How many nursery nurses do we need for 15 children?we need for 15 children?

Step 1- Write down the ratio 1 : 3Step 1- Write down the ratio 1 : 3

Step 2- Label the numbers Nurses ChildrenStep 2- Label the numbers Nurses Children

1 : 31 : 3

QQ. In a nursery we need a ratio of 1 nursery nurse . In a nursery we need a ratio of 1 nursery nurse for every 3 children. How many nursery nurses do for every 3 children. How many nursery nurses do we need for 15 children?we need for 15 children?Step 3- Put the 3Step 3- Put the 3rdrd number Nurses Children number Nurses Children in the correct columnin the correct column 1 : 31 : 3 1515Step 4- Divide the 2 numbersStep 4- Divide the 2 numbers which are in the same 15 which are in the same 15 ÷ ÷ 3 = 53 = 5 columncolumn

Step 5- Multiply the answer byStep 5- Multiply the answer by the number in the other 5 X 1 = 5the number in the other 5 X 1 = 5 column column

ANS = 5 nursery ANS = 5 nursery nursesnurses

Q. Q. A nursery uses 3 pints of milk for 7 bowls of A nursery uses 3 pints of milk for 7 bowls of cereal. How many bowls of cereal will they get cereal. How many bowls of cereal will they get from 12 pints of milk?from 12 pints of milk?

•Step 1-Step 1- 3 : 73 : 7•Step 2 -Step 2 -

Milk Milk CerealCereal

3 : 7•Step 3 -Step 3 - 12

•Step 4 -Step 4 - 12 ÷ 3 = 412 ÷ 3 = 4

•Step 5 -Step 5 - 4 X 7 = 28 bowls of4 X 7 = 28 bowls of cerealcereal

Q. Q. A nursery uses 3 pints of milk for 7 bowls A nursery uses 3 pints of milk for 7 bowls of cerealof cereal

• How many bowls of cereal will you How many bowls of cereal will you get from:get from:

1)1) 6 pints of milk6 pints of milk2)2) 18 pints of milk18 pints of milk3)3) 33 pints of milk33 pints of milk4)4) 90 pints of milk90 pints of milk

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Player 1

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A factory makes 5 bicycles per hour. How many bicycles can they make in 2 hours?

5

2

9

10

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A taxi goes 10 miles in 20 minutes. How far does it travel in 60 minutes?

20 miles

60 miles

30 miles

40 miles

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Sue can do 20 math questions in 5 minutes. How long will it take Sue to do 100 questions?

20 minutes

35 minutes

25 minutes

30 minutes

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Player 2

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Four packs of sweets cost £2.00. How many packet of sweets can you buy with £10.00?

15 packets

25 packets

30 packets

20 packets

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The city bus goes 15 miles in 30 minutes. How far does it go in 120 minutes?

50 miles

45 miles

60 miles

55 miles

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If 12 roses makes 1 bunch of flowers, how many bunches of flowers would 60 roses make?

3 bunches

4 bunches

5 bunches

6 bunches

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Player 3

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If one box of chocolates holds 24 chocolates, how many boxes would be needed for 168 chocolates?

6

8

9

7

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If we need 300 grams of flour to make 12 scones, how many grams of flour would we need to make 72 scones?

2100 grams

1500 grams

2400 grams

1800 grams

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If 5 miles are approximately 8 kilometres, approximately how many miles are 96 kilometres?

65 miles

55 miles

50 miles

60 miles

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