Ratio and Proportion Adult Numeracy N1/L1.7 Work out simple ratio and direct proportion Understand simple ratio as the number of parts, e.g. three parts.

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Ratio and Proportion Adult Numeracy N1/L1.7 Work out simple ratio and direct proportion Understand 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 by Michael Hargreaves, The Oldham College.

RATIO AND PROPORTION By Michael Hargreaves

What is ratio? Ratio is a way of comparing amounts of something. It shows how much bigger one thing is than another. Ratio is a way of comparing amounts of something. It shows how much bigger one thing is than another. 1 nursery nurse for every 3 children 1 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 children Ratio = 1:3 If another 3 children joined the nursery, we would need another 1 nursery nurse If another 3 children joined the nursery, we would need another 1 nursery nurse We would now have 2 nursery nurses and 6 children. We could write this as 2:6 We would now have 2 nursery nurses and 6 children. We could write this as 2:6 By cancelling the numbers down (dividing both numbers by 2) we end up with the original ratio of 1:3 By cancelling the numbers down (dividing both numbers by 2) we end up with the original ratio of 1:3

Q. In a nursery we need a ratio of 1 nursery nurse for every 3 children. How many nursery nurses do we need for 15 children? Step 1- Write down the ratio 1 : 3 Step 2- Label the numbers Nurses Children 1 : 3 1 : 3

Q. In a nursery we need a ratio of 1 nursery nurse for every 3 children. How many nursery nurses do we need for 15 children? Step 3- Put the 3 rd number Nurses Children in the correct column 1 : 3 in the correct column 1 : Step 4- Divide the 2 numbers which are in the same 15 ÷ 3 = 5 which are in the same 15 ÷ 3 = 5 column column Step 5- Multiply the answer by the number in the other 5 X 1 = 5 the number in the other 5 X 1 = 5 column column ANS = 5 nursery nurses

Q. A nursery uses 3 pints of milk for 7 bowls of cereal. How many bowls of cereal will they get from 12 pints of milk? Step 1- Step 1- 3 : 7 3 : 7 Step 2 -Step 2 - Milk Cereal 3 : 7 Step 3 -Step Step 4 -Step ÷ 3 = 4 12 ÷ 3 = 4 Step 5 -Step X 7 = 28 bowls of cereal

Q. A nursery uses 3 pints of milk for 7 bowls of cereal How many bowls of cereal will you get from: How many bowls of cereal will you get from: 1) 6 pints of milk 2) 18 pints of milk 3) 33 pints of milk 4) 90 pints of milk

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