Ratio and Proportion 1 Simplify the following ratios

Ratio and Proportion 1 Simplify the following ratios a) 4: 20 c) 2: 6: 20 b) 18: 36 d) 17: 34: 51 2 Write down the missing values in these equivalent ratios a) 2: 5 = 6: b) 3: 10 = 15: c) 4: 7 = d) 6: : 28 = 48: 32 The number of students in year 9 who have school dinners is 3 72. The number of students not having school dinners in year 9 is 48. Write this as a ratio in its simplest form.

Ratio and Proportion 1 Simplify the following ratios a) 4: 20 = 1: 5 c) 2: 6: 20 = 1: 3: 10 b) 18: 36 = 1: 2 d) 17: 34: 51 = 1: 2: 3 2 Write down the missing values in these equivalent ratios a) 2: 5 = 6: 15 c) 4: 7 = 16 : 28 b) 3: 10 = 15: 50 d) 6: 4 = 48: 32 The number of students in year 9 who have school dinners is 3 72. The number of students not having school dinners in year 11 is 48. Write this as a ratio in its simplest form. 72: 48 = 3: 2

My Turn Share £ 54 in the ratio 5: 4 9 shares = £ 54 1 share = £? Your Turn Share £ 45 in the ratio 3: 2 £ 45 5 shares = £ 45 1 share = £?

Ratio 1 1) Share £ 60 in the ratio 2: 3 2) Share £ 60 in the ratio 3: 2 3) Share £ 60 in the ratio 4: 6 4) Share £ 120 in the ratio 2: 3 5) Share £ 120 in the ratio 6: 4 6) Share £ 120 in the ratio 1: 2: 3 7) Share £ 120 in the ratio 6: 2: 4 Ratio 1 9) Bill and Ben share sweets in the ratio 2: 3. Bill gets 6 sweets how many does Ben get? 10) Tom and Jerry share sweets in the ratio 7: 3. Jerry gets 24 sweets how many does Tom get? 11) Bert and Ernie share some money in the ratio 6: 4. Ernie gets £ 30 how much does Bert get? 12) Bob, Dave and Luke share some money in the ratio 2: 3: 8. Dave 8) Share £ 120 in the ratio 60: 20: 40 gets £ 27 how much do Bob & Luke get?

1) 2) 3) 4) 5) 6) 7) 8) Ratio 1 - Answers Share £ 60 in the ratio 2: 3 24: 36 9) Bill and Ben share sweets in the Share £ 60 in the ratio 3: 2 ratio 2: 3. Bill gets 6 sweets how 36: 24 many does Ben get? 9 Share £ 60 in the ratio 4: 6 10) Tom and Jerry share sweets in 24: 36 the ratio 7: 3. Jerry gets 24 Share £ 120 in the ratio 2: 3 sweets how many does Tom 48: 72 get? 56 Share £ 120 in the ratio 6: 4 11) Bert and Ernie share some 72: 48 money in the ratio 6: 4. Ernie Share £ 120 in the ratio 1: 2: 3 gets £ 30 how much does Bert 20: 40: 60 get? £ 45 Share £ 120 in the ratio 6: 2: 4 60: 20: 40 12) Bob, Dave and Luke share some Share £ 120 in the ratio 60: 20: 40 money in the ratio 2: 3: 8. Dave 60: 20: 40 gets £ 27 how much do Bob & Luke get? Bob = £ 18 Luke = £ 72

GCSE Question – Whiteboard Activity

Jack and Jill share some money in the ratio 3: 2, Jack gets £ 66 how much does Jill get? £ 66 Jack Jill 3 shares = £ 66 1 share = £?

Ratio 2 1. Bill and Ben share sweets in the 5. Bill and Ben share sweets in the ratio 3: 2. Bill gets 6 more than ratio 4: 5. Bill gets 16 sweets Ben. How many does Ben get? how many does Ben get? 2. Tom and Jerry share sweets in the ratio 2: 8. Jerry gets 32 sweets how many does Tom get? 6. Tom and Jerry share sweets in the ratio 3: 7. Jerry gets 24 more than Tom. How many does Tom get? 3. Bert and Ernie share some money in the ratio 3: 4. Ernie gets £ 10 how much does Bert get? 7. Bert and Ernie share some money in the ratio 4: 8. Ernie gets £ 60 more than Bert. How much does Bert get? 4. Bob, Dave and Luke share some 8. Bob, Dave and Luke share some money in the ratio 2: 3: 8. Dave money in the ratio 5: 4: 1. Dave gets £ 10 more than Bob. How gets £ 28 how much do Bob & much does Luke get?

Ratio 2 - Answers Ratio 2 – Answers 1. Bill and Ben share sweets in the 5. Bill and Ben share sweets in the ratio 3: 2. Bill gets 6 more than Ben. ratio 4: 5. Bill gets 16 sweets How many does Ben get? 12 how many does Ben get? 20 2. Tom and Jerry share sweets in 6. Tom and Jerry share sweets in the ratio 3: 7. Jerry gets 24 more than the ratio 2: 8. Jerry gets 32 Tom. How many does Tom get? 18 sweets how many does Tom get? 8 7. Bert and Ernie share some money in the ratio 4: 8. Ernie gets £ 60 3. Bert and Ernie share some more than Bert. How much does money in the ratio 3: 4. Ernie Bert get? £ 60 gets £ 10 how much does Bert get? £ 7. 50 8. Bob, Dave and Luke share some 4. Bob, Dave and Luke share some money in the ratio 5: 4: 1. Dave gets £ 28 how much do Bob & Luke get? Bob = £ 35 Luke = £ 7 money in the ratio 2: 3: 8. Dave gets £ 10 more than Bob. How much does Luke get? £ 80

GCSE Question – Whiteboard Activity

Jack and Jill share some money in the ratio 5: 2, Jack gets £ 15 more than Jill. How much does Jill get? £ 15 Jack Jill 3 shares = £ 15 1 share = £?

2 minutes in your groups. How could I use bar modelling to answer the question below? The sides of a triangle are in the ratio 3: 2: 7. The shortest side is 6 cm. Calculate the perimeter of the triangle ? cm 6 cm ? cm 2 shares = 6 cm 1 share = 3 cm Perimeter = 36 cm

Jack and Jill share some money in the ratio 5: 2, Jack gets £ 15 more than Jill. How much does Jill get? £ 15 Jack Jill 3 shares = £ 15 1 share = £?

2 minutes in your groups. How could I use bar modelling to answer the question below? The sides of a triangle are in the ratio 3: 2: 7. The shortest side is 6 cm. Calculate the perimeter of the triangle ? cm 6 cm ? cm 2 shares = 6 cm 1 share = 3 cm Perimeter = 36 cm

Ratio 3 4. The sides of a triangle are in 1. Tom and Jerry share some the ratio 1: 4: 8. The longest side money in the ratio 3: 5. Jerry is 32 cm. Calculate the gets £ 20 more than Tom. How perimeter of the triangle. much does Tom get? 5. The sides of a rectangle are in 2. Ben and Jerry share some the ratio 5: 3. The longest side is money in the ratio 7: 4. Ben 12. 5 cm. Calculate the length of gets £ 42 more than Jerry. How the shortest side. much does Jerry get? 3. Maggie and Pixie share some 6. The sides of a rectangle are in the ratio 4: 3. The shortest side biscuits in the ratio 5: 2. Maggie is 6 cm. Calculate the area. gets 9 more biscuits than Pixie. How many biscuits do they each get?

Ratio 3 - Answers 4. The sides of a triangle are in 1. Tom and Jerry share some the ratio 1: 4: 8. The longest side money in the ratio 3: 5. Jerry is 32 cm. Calculate the gets £ 20 more than Tom. How perimeter of the triangle. much does Tom get? £ 30 4 + 16 + 32 = 52 cm 2. Ben and Jerry share some 5. The sides of a rectangle are in money in the ratio 7: 4. Ben the ratio 5: 3. The longest side is gets £ 42 more than Jerry. How 12. 5 cm. Calculate the length of much does Jerry get? £ 56 the shortest side. 7. 5 cm 3. Maggie and Pixie share some biscuits in the ratio 5: 2. Maggie 6. The sides of a rectangle are in the ratio 4: 3. The shortest side gets 9 more biscuits than Pixie. is 6 cm. Calculate the area. How many biscuits do they 8 x 6 = 48 cm 2 each get? Maggie = 15 Pixie = 6

GCSE Question

3 minutes in your groups A drink is made using Lemonade and Orange juice in the ratio 1: 4. Lemonade costs 80 p per litre Orange juice costs £ 1. 50 per litre Calculate the cost of making 25 litres of the drink. 5 parts = 25 L 1 part = 5 L 25 L 5 L of lemonade = £? 20 L of orange juice = £? 5 L of lemonade = £ 4 20 L of orange juice = £ 30 Total cost = £ 34

A Green paint is made by mixing Blue and Yellow paint in the ratio 2: 3. Blue paint costs £ 1 per litre Yellow paint costs £ 2 per litre Calculate the cost of making 20 litres of the Green paint. Concrete is made by mixing cement, sand gravel in the ratio 1: 2: 3 Cement costs £ 1 per kg Sand costs £ 2. 50 per kg Gravel costs £ 2 per kg Calculate the cost of making 300 kg of concrete.

A Green paint is made by mixing Blue and Yellow paint in the ratio 2: 3. Blue paint costs £ 1 per litre Yellow paint costs £ 2 per litre Calculate the cost of making 20 litres of the Green paint. 10 L of Blue = £ 10, 15 L of Yellow = £ 30, Total = £ 40 Concrete is made by mixing cement, sand gravel in the ratio 1: 2: 3 Cement costs £ 1 per kg Sand costs £ 2. 50 per kg Gravel costs £ 2 per kg Calculate the cost of making 300 kg of concrete. Cement = 50 kg = £ 50, Sand = 100 kg = £ 250, Gravel = 150 kg = £ 300, Total = £ 600

Reflection Time Imagine another student was about to attempt all the questions from today’s lesson. What piece of advice would you give to them?

Ratio - Extension 1) The angles in triangle are in the ratio 1: 2: 3. Calculate the size of each angle. 2) The angles on a straight line are split in the ratio 4: 2: 6. Calculate the size of each angle. 3) The angles in a quadrilateral are in the ratio 2: 3: 1: 4. Calculate the size of each angle. 4) The angles around a point are in the ratio 2: 1: 4: 3. Calculate the size of each angle.