Ratio and Proportion

1. 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 www.skillsworkshop.org by Michael Hargreaves, Michael.Hargreaves@oldham.ac.ukThe Oldham College.

2. RATIO AND PROPORTION By Michael Hargreaves

3. What is ratio? 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 We would write this as 1:3

4. 1 nursery nurse for every 3 childrenRatio = 1:3 • 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 • By cancelling the numbers down (dividing both numbers by 2) we end up with the original ratio of 1:3

5. 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

6. 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 3rd number Nurses Children in the correct column1 : 3 15 Step 4- Divide the 2 numbers which are in the same 15 ÷ 3 = 5 column Step 5- Multiply the answer by the number in the other 5 X 1 = 5 column ANS = 5 nursery nurses

7. 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- 3 : 7 • Step 2 - Milk Cereal 3 : 7 • Step 3 - • 12 12 ÷ 3 = 4 • Step 4 - 4 X 7 = 28 bowls ofcereal • Step 5 -

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

9. Quiz Time

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11. Player 1

12. A factory makes 5 bicycles per hour. How many bicycles can they make in 2 hours? 5 2 10 9

13. A taxi goes 10 miles in 20 minutes. How far does it travel in 60 minutes? 20 miles 30 miles 60 miles 40 miles

14. Sue can do 20 math questions in 5 minutes. How long will it take Sue to do 100 questions? 20 minutes 30 minutes 25 minutes 35 minutes

15. Player 2

16. Four packs of sweets cost £2.00. How many packet of sweets can you buy with £10.00? 15 packets 25 packets 20 packets 30 packets

17. The city bus goes 15 miles in 30 minutes. How far does it go in 120 minutes? 50 miles 55 miles 60 miles 45 miles

18. If 12 roses makes 1 bunch of flowers, how many bunches of flowers would 60 roses make? 3 bunches 5 bunches 4 bunches 6 bunches

19. Player 3

20. If one box of chocolates holds 24 chocolates, how many boxes would be needed for 168 chocolates? 6 8 9 7

21. If we need 300 grams of flour to make 12 scones, how many grams of flour would we need to make 72 scones? 1800 grams 1500 grams 2400 grams 2100 grams

22. If 5 miles are approximately 8 kilometres, approximately how many miles are 96 kilometres? 65 miles 55 miles 50 miles 60 miles Next