# Direct proportion (Part 3)

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## Lesson details

### Key learning points

- In this lesson, we will solve worded problems involving direct proportion and model solutions using tables.

### 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.

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.

### 7 Questions

Q1.

The number of pens are directly proportional to the cost. What is the missing number?

£1.40

£8.40

Q2.

The number of rulers are directly proportional to the cost. What is the missing number A?

+2

+4

x 2

Q3.

The number of rulers are directly proportional to the cost. What is the missing number B?

£12.60

£8.40

Q4.

x and y are directly proportional. What is the missing number in the box?

+ 14

x 2

Q5.

A shop sells ribbon for £3 per metre. The length of the ribbon is directly proportional to its cost. What is the cost of 5.5 metres?

£14.50

£15.50

Q6.

Which description cannot go that can go in the arrow?

divide by 2

multiply by 1/2

Q7.

Which number is missing from the box?

+1

x 0.5