Year 8

# Direct proportion (Part 1)

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## Lesson details

### Key learning points

- In this lesson, we will explore real life scenarios involving direct proportion and model solutions.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 6 Questions

Q1.

Four apples cost 96p. Each apple costs the same price. Use the bar model to help you find the cost of 1 apple.

£0.72

0.24

72 p

Q2.

The cost of 10 text messages is 60 pence. What is the cost of 5 text messages?

10 p

5 p

6 p

Q3.

The cost of 10 text messages is 60 pence. What is the cost of 20 text messages?

£0.40

£1.2

£12

Q4.

If 4 ice creams cost £4.80, what is the cost of 1 ice cream?

£120

120

Q5.

If 4 ice creams cost £4.80, what is the cost of 12 ice creams?

12.2

12.20

14.4

Q6.

If 4 ice creams cost £4.80, what is the cost of 7 ice creams (Hint: you can use our answer to question 4 to help you with this).

£8.04

8.4

8.40 p

### 6 Questions

Q1.

Alex goes to a fair. He wants to go on 6 rides. Each ride costs £2. How much will he pay?

£10

£8

Q2.

The cost of four pencils is £1.60 What is the cost of one pencil.

£0.4

0.4

Q3.

The cost of four pencils is £1.60. What is the cost of 12 pencils?

£19.20

£2.80

Q4.

It costs 60 p to send text messages. Alex has been charged £3 for text messages by Vodafone. How many text messages did he send?

0.05

180

4

Q5.

Which rule connects n to C?

n = 4C

n = C - 3

n = C + 3

Q6.

True or False? A graph of direct proportion always starts at the origin.

False