Ratio

• Mathematics
• Upper Secondary (Key Stage 4)
• GCSE

Ratio

Learning Outcomes

In the exam you may be asked to work with ratios

In today's lesson you will be able to 

• share an amount in a given ratio
• Scale up or down using a ratio

What is a ratio?

Answer and Example

Ratios are a way of showing how many things of one type there are compared to another. We use a colon to represent the word 'to'

Look at the shapes, what is the ratio of triangles to circle shapes

There are 2 triangles for every 4 circles. This is written as 2:4.

There are 6 blue and 18 red beads. Simplify the ratio to its simplest form?

Answer and method

6 blue and 18 red. Simplify

6 days: 2 weeks. 

Simplify the ratio to its simplest form?

Answer and method

6 days: 2 weeks. Simplify

The cost for hiring a carpet cleaner is

Joe and Pete share £60 in the ratio 2:3? How much does Joe get?

Answer and method

Joe and Pete share £60 in the ratio 2:3? How much does Joe get?

The cost for hiring a carpet cleaner is

Paula and Amelia share £120 in the ratio 2:3. How much does Amelia get?

Answer and method

Paula and Amelia share £120 in the ratio 2:3. How much does Amelia get?

The cost for hiring a carpet cleaner is

A citrus twist cocktail contains orange juice, lemon juice and lime juice in the ratio 6 : 3 : 1.

How much orange juice is contained in 750 ml of the cocktail?

? 

Answer and method

Paula and Amelia share £120 in the ratio 2:3. How much does Amelia get?

The cost for hiring a carpet cleaner is

Liam earns £2400 per month. He spends 30% on rent. The remaining money is shared between savings and entertainment in a 2:1 ratio. How much does Liam spend on entertainment?

? 

Answer and method

Liam earns £2400 per month. He spends 30% on rent. The remaining money is shared between savings and entertainment in a 2:1 ratio. How much does Liam spend on entertainment?

The cost for hiring a carpet cleaner is

Sarah earns £1,800 per month. She saves 25% of her salary. How much does she have remaining after savings?

The remaining money is divided between groceries and clothing in a 4:5 ratio. How much does Sarah spend on clothing?

Answer and method

Sarah earns £1,800 per month. She saves 25% of her salary. How much does she have remaining after savings?

The remaining money is divided between groceries and clothing in a 4:5 ratio. How much does Sarah spend on clothing?

LET 'S DO SOME MATHS

Codebreaker time

Jack and Jill share £420 in the ratio 2:5 How much did Jill get?

1. £120
2. £60
3. £360
4. £300

Kevin and Damian share £360 in the ratio 2:7? How much more money does Damian get than Kevin?

1. £280
2. £180
3. £200
4. £80

Tom and Jo share £450 in the ratio 5:4. How much does Tom get?

1. £400
2. £50
3. £120
4. £360

Anton is paid £2000. He spends half on rent, and the rest is used for living expenses and savings in the ratio 3:2. How much does Anton save each month?

1. £500
2. £400
3. £800
4. £100

WELL DONE. YOU SMASHED IT.

A 50g carton of yogurt contains 30 calories. How much calories are in a 100g carton

Answer and method

A 50g carton of yogurt contains 30 calories. How much calories are in a 100g carton

If £1 is worth 5 Turkish Lira, how much lira would I get if I changed £20?

Answer and method

If £1 is worth 5 Turkish Lira, how much lira would I get if I changed £20?

For every 2 apples, there are 3 pears. How many apples are there if there are 21 pears?

 

Answer and method

For every 2 apples , there are 3 pears. How many apples are there if there are 21 pears?

 

On a scale map 1 cm = 4 miles. How many miles does 6cm equal in the real world?

Answer and method

On a scale map 1 cm = 4 miles. How many miles does 6cm equal in the real world?

?

 

LET 'S DO SOME MATHS

Codebreaker time

A 0.3kg cake is made by mixing flour, eggs and sugar in the ratio

5 cups flour:3 eggs:2 cups sugar.

How much of each ingredient would you need to make a 1.2kg cake

Answer and method

A 0.3kg cake is made by mixing flour, eggs and sugar in the ratio

5 cups flour:3 eggs:2 cups sugar. 

How much of each ingredient would you need to make a 1.2kg cake 

   

?

 

0.8 kg concrete is made by mixing cement, sand and stone in the ratio

2 wheelbarrows of cement, 3 sand and 3 of stone

How much of each of would you need to make a 5.6kgs of concrete

Answer and method

0.8 kg concrete is made by mixing cement, sand and stone in the ratio

2 wheelbarrows of cement, 3 sand and 3 of stone

How much of each would you need to make a 5.6kgs of concrete

?

 

LET 'S DO SOME MATHS

Level 2 Worksheet time

In one minute write the most important thing from today's lesson

LET 'S DO SOME MATHS

Level 2 Boomcards time

Click the link below, find your name.

Password is boomcards123

BOOMCARDS LINK

Bread and Butter Maths

On the next slide click the link to get to Quizziz

Use your full name when asked

Answer the questions

Use a calculator