Ratio and ProportionAdult Numeracy N1/L1.7Work out simple ratio and direct proportionUnderstand simple ratio as the number of parts, e.g. three parts to one part. Understand direct proportion as the same rate of increase or decrease, e.g. double, half. Understand relationship between simple ratio and fractions Functional Mathematics Level 1: Solve simple problems involving ratio, where one number is a multiple of the other•Understand simple ratio as the number of parts, for example three parts to one part. A drink is made from juice and water in the ratio of 1:5. How many litres of drink can I make from 2 litres of juice?•Understand direct proportion as the same rate of increase or decrease, for example double, half, scale up amounts of food for three times the number of people, put items in piles with twice as many items in one pile as in the other.Know how to use a simple scale to estimate distance on a road map.

Adult Numeracy N1/L2.3: Understand ratio written in the form 3:2 •Understand how to work out the number of parts in a given ratio, and the value of one part Functional Mathematics Level 2: Understand, use and calculate ratio and proportion, including problems involving scale.•Understand ratio written in the form 3:2, sharing £60 in the ratio 3:2.•Understand how to work out the number of parts in a given ratio, and the value of 1 part. For example, the total cost for a job is £200. If the ratio between labour and materials is 5:3, how much was the labour?

Kindly contributed to www.skillsworkshop.org by Michael Hargreaves, Michael.Hargreaves@oldham.ac.uk The Oldham College.

RATIO AND PROPORTIONRATIO AND PROPORTION

ByBy

Michael HargreavesMichael Hargreaves

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 nursewe would need another 1 nursery nurse

• We would now have 2 nursery nurses and We would now have 2 nursery nurses and 6 children. We could write this as 2:66 children. We could write this as 2:6

• 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 milk

2)2) 18 pints of milk18 pints of milk

3)3) 33 pints of milk33 pints of milk

4)4) 90 pints of milk90 pints of milk

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

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10

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

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

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

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

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

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

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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?

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

65 miles

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