Ratio and Proportion

What is the ratio of women to men? 3:2

What is the ratio of men to women? 2:3

What is the ratio of blue counters to pink? 9 : 3 or 3 : 1

What is the ratio of blue counters to pink? 9 : 6 or 3 : 2

Write these ratios in their simplest form 10/11/2018 Write these ratios in their simplest form 6: 8 12: 8 6: 9 12: 6  by 2  by 4  by 3  by 6 3: 2 2: 3 2: 1 3: 4 8: 8 5: 20 12: 18 45: 54  by 8  by 5  by 6  by 9 1: 1 1: 4 2: 3 5: 6

   Share the 30 sweets between the boys and girls

2 boys and 3 girls – 30 sweets how many do the boys get? how many do the girls get?

    Share the 30 sweets between the boys and girls

+++++= 6 30 ÷ 6 = 5 += 10 +++  = 20

10/11/2018 1. Share £48 between Alan and Barbara in the ratio 2 : 1 £32 £16 2. Share £60 between Laura and Robert in the ratio 1 : 3 £15 £45 3. Share 80 marbles between Stuart and Carl in the ratio 4 : 1 64 16 4. Share 91 sweets between Peter and Becky in the ratio 4 : 3 52 39 5. Share 70 coloured beads between Janet and Christine in the ratio 3 : 2 42 28 6. Share £120 between Carly and Paul in the ratio 3 : 5 £45 £75

There are some apples and pears in a box. The ratio of the number of apples to the number of pears is 1 : 5. There are five apples. How many pears are there?

There are some apples and pears in a box. The total number of apples and pears is 24. There are six pears. What is the ratio of apples to pears?

10/11/2018 1) In a field the ratio of cows to sheep is 2 : 3. There are 8 cows. How many sheep are there ? 2) In a classroom the ratio of boys to girls is 4 : 5. There are 15 girls. How many boys are there ? 3) In a pencil case the ratio of pens to pencils is 7 : 5. There are 21 pens. How many pencils are there ? 4) In an orchard the ratio of apple trees to pear trees is 6 : 11. There are 60 apple trees. How many pear trees are there ? 5) Money is shared out between Paul and Helen in the ratio of 3 : 4 . Paul receives £27. How much did Helen receive ? 6) Money is shared out between Bob, Sam and Mike using the ratio of 2 : 5 : 3 Mike received £24. How much did Sam receive ? 7) Paint is mixed using yellow, red and green paint in the ratio of 2 : 3 : 7 15 litres of red paint is used. How much paint was mixed altogether ? 12 sheep 12 boys 15 pencils 110 pear trees £ 36 £ 40 60 litres

What is the ratio of Crunchies to Caramels? What fraction of the sweets are Crunchies as a fraction? as a decimal? as a percentage?

Here are the ingredients needed to make ratatouille for 4 people. To find out how much of each we’ll need to make it for 6 people, we use ratio. 2 large aubergines 4 small courgettes 2 yellow peppers 4 large tomatoes 5 tbsp olive oil 1 onion 3 garlic cloves Serves 4 Ratatouille

So, for every ingredient in the recipe, we need to first divide by 4 to get the ingredients for 1 person and then multiply by 6 to get the ingredients for 6 people . Our recipe changes like this: Ratatouille Ratatouille Serves 4 Serves 6 2 large aubergines 4 small courgettes 2 yellow peppers 4 large tomatoes 5 tbsp olive oil 1 onion 3 garlic cloves 2 / 4 = 0.5 0.5 x 6 = 3 3 large aubergines 6 small courgettes 3 yellow peppers 6 large tomatoes 7.5 tbsp olive oil 1.5 onion 4.5 garlic cloves 4 / 4 = 1 1 x 6 = 6 2 / 4 = 0.5 0.5 x 6 = 3 4 / 4 = 1 1 x 6 = 6 5 /4 = 1.25 1.25 x 6 = 7.5 1 / 4 = 0.25 0.25 x 6 = 1.5 3 / 4 = 0.75 0.75 x 6 = 4.5

(makes 8 large puddings) Here’s another example: Yorkshire Pudding (makes 8 large puddings) 140g plain flour 4 eggs 200 milk Calculate the required amount of ingredients for: a) 4 large puddings b) 10 large puddings

RATIO The recipe to make stuffed chicken Parma parcels is shown below: QUESTION Write down the recipe to serve 20 people. Stuffed chicken Parma parcels Serves 4 4 chicken legs, skinned and boned 50g dried porcini mushrooms 2 shallots, finely chopped 50g butter 2 garlic cloves, crushed 150g baby spinach 100g mozzarella cheese, grated 250g ricotta cheese 8 slices of Parma ham 3 tbsp olive oil 1 tsp balsamic vinegar x5 Serves 20 x5 20 chicken legs, skinned and boned x5 250g dried porcini mushrooms x5 10 shallots, finely chopped x5 250g butter x5 10 garlic cloves, crushed x5 750g baby spinach x5 500g mozzarella cheese, grated x5 1250g ricotta cheese x5 40 slices of Parma ham x5 15 tbsp olive oil x5 5 tsp balsamic vinegar 19

RATIO The recipe to make flapjacks is shown below: Flapjacks Serves 10 120g butter 100g dark brown soft sugar 4 tbsp golden syrup 250g rolled oats 40g sultanas or raisins How much of each ingredient would you need to make flapjacks for: (a) 30 people? x3 (b) 2 people? ÷5 (c) 9 people? ÷10 x9 360g butter 24g butter 108g butter 300g dark brown soft sugar 20g dark brown soft sugar 90g dark brown soft sugar 12 tbsp golden syrup 0.8 tbsp golden syrup 3.6 tbsp golden syrup 750g rolled oats 50g rolled oats 225g rolled oats 120g sultanas or raisins 8g sultanas or raisins 36g sultanas or raisins 20

10/11/2018 EXCHANGING MONEY

If the exchange rate is £1 = $1.35 10/11/2018 Exchanging money step-by-step Make an exchange rate diagram as follows: If the exchange rate is £1 = $1.35 £ $ Using this diagram, you can convert any amount of either currency into the other currency, by completing the calculations shown on the diagram × 1.35 ÷ 1.35

10/11/2018 Example The exchange rate between Pounds Sterling and Thai Baht is £1 =  ฿43.56. How many Thai Baht would I get for £150 × 43.56 ฿ £ ÷ 43.56 To change £ to ฿, I need to × by 43.56 150 × 43.56 = ฿6534

10/11/2018 Example The exchange rate between Pounds Sterling and Thai Baht is £1 =  ฿43.56. How many £ would I get for ฿2500 To change ฿ to £ I need to ÷ by 43.56 2500 ÷ 43.56 = £57.3921028, so £57.39

10/11/2018 Task £1 = €1.17 and £1 = $1.52 Round your answers to the nearest pound, euro or dollar

10/11/2018 Solutions

Write the following ratio’s in the form 1:n (calculators allowed) 5 cm to 1m 15p to £3.00 15 mins to 2 hours 25g to 1.2kg 20 seconds to 5 minutes

Scales

2 Ratios The ratio of green to blue m&m’s is 5:3 The ratio of red to blue m&m’s is 7:4 What is the ratio of green to red

2 Ratios The ratio of flour to butter in a recipe is 5:2 The ratio of eggs to butter in a recipe is 9:5 What is the ratio of flour to eggs

Now have a go at the questions booklet