Year 8

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## Lesson details

### Key learning points

- In this lesson, we will learn how to recognise when two quantities are directly proportional to each other.

### 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.

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

### 6 Questions

Q1.

A chain costs 8p per 2cm. The cost and length are directly proportional. What is the cost of 6 cm?

10 p

12 p

16 p

Q2.

The number of text messages sent and the cost are directly proportional. It costs 60 pence to send 10 text messages. What is the cost of sending 20 text messages?

200 pence

600 pence

Q3.

The number of text messages sent and the cost are directly proportional. It costs 60 pence to send 10 text messages. What is the cost of sending 5 text messages?

300 pence

50 pence

Q4.

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

£19.20

£57.60

Q5.

Look at the table below. Choose the correct statement that describes the relationship between the number of mugs and the cost of the mugs.

The cost and the number of mugs are not directly proportional.

Q6.

Look at the table below. Choose the correct statement that describes the relationship between the number of hours worked and the pay.

The number of hours worked and the pay are directly proportional.