Year 8

# Direct or inverse proportion?

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## Lesson details

### Key learning points

- In this lesson, we will solve a variety of direct and inverse proportion problems. We will learn how to identify when a problem is about direct or inverse proportion.

### 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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### 7 Questions

Q1.

True or False? Inverse proportion can be represented graphically with the line 𝒚 = 𝒂𝒙 passing through the origin.

True

Q2.

True or False: Inverse proportion can be represented graphically using 𝑦 =𝑎/𝑥. This is a curved line.

False

Q3.

Direct, inverse or neither?

Inverse

Neither

Q4.

Direct, inverse or neither?

Inverse

Neither

Q5.

Direct, inverse or neither?

Direct

Inverse

Q6.

Direct, inverse or neither?

Direct

Neither

Q7.

Direct, inverse or neither?

Direct

Inverse

### 7 Questions

Q1.

Decide whether the scenarios below represent direct or inverse proportion: The cost of apples and the quantity of apples.

Inverse

Q2.

Decide whether the scenarios below represent direct or inverse proportion: The speed travelled and the time taken.

Direct

Q3.

The time it takes to build a house compared with the number of builders all working at the same rate.

Direct

Q4.

Is this a direct or inverse proportion question? It takes 6 hours to fill a pool with water coming from three taps. How long would it take if only two taps are switched on?

Direct

Neither

Q5.

Is this a direct or inverse proportion question? It costs £6 for a cinema ticket. Given that there are no current offers. How much would it cost to buy 6 tickets?

Inverse

Neither

Q6.

Does this scenario represent direct or inverse proportion or neither? 𝑥 represents the number of units of gas used in a house in a month. 𝑦 represents the cost in pence. There is a charge of £12 each month, even if no gas is used. Each unit of gas costs 25 pence.

Direct

Inverse

Q7.

Is this a direct or inverse proportion question? Michael fills a fish tank. Michael uses a 4 litre jug, he will need to use 15 jugfuls. How many jugfuls are needed if he uses a 6 litre jug?

Direct

Neither