Direct or inverse proportion?

In this lesson, you will solve direct and inverse proportion problems.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Q1.True or False? Inverse proportion can be represented graphically with the line π’š = 𝒂𝒙 passing through the origin.

1/7

Q2.True or False: Inverse proportion can be represented graphically using 𝑦 =π‘Ž/π‘₯. This is a curved line.

2/7

Q3.Direct, inverse or neither?

3/7

Q4.Direct, inverse or neither?

4/7

Q5.Direct, inverse or neither?

5/7

Q6.Direct, inverse or neither?

6/7

Q7.Direct, inverse or neither?

7/7

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Q1.True or False? Inverse proportion can be represented graphically with the line π’š = 𝒂𝒙 passing through the origin.

1/7

Q2.True or False: Inverse proportion can be represented graphically using 𝑦 =π‘Ž/π‘₯. This is a curved line.

2/7

Q3.Direct, inverse or neither?

3/7

Q4.Direct, inverse or neither?

4/7

Q5.Direct, inverse or neither?

5/7

Q6.Direct, inverse or neither?

6/7

Q7.Direct, inverse or neither?

7/7

Video

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Worksheet

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This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Direct or inverse proportion

Exit Quiz

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Q1.Decide whether the scenarios below represent direct or inverse proportion: The cost of apples and the quantity of apples.

1/7

Q2.Decide whether the scenarios below represent direct or inverse proportion: The speed travelled and the time taken.

2/7

Q3.The time it takes to build a house compared with the number of builders all working at the same rate.

3/7

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?

4/7

Q5.Is this a direct or inverse proportion question? It costs Β£6 for a cinema ticket. Given that there are no current offers. How much would it cost to buy 6 tickets?

5/7

Q6.Does this scenario represent direct or inverse proportion or neither? π‘₯ 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 Β£12 each month, even if no gas is used. Each unit of gas costs 25 pence.

6/7

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?

7/7

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Direct or inverse proportion

Exit Quiz

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Q1.Decide whether the scenarios below represent direct or inverse proportion: The cost of apples and the quantity of apples.

1/7

Q2.Decide whether the scenarios below represent direct or inverse proportion: The speed travelled and the time taken.

2/7

Q3.The time it takes to build a house compared with the number of builders all working at the same rate.

3/7

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?

4/7

Q5.Is this a direct or inverse proportion question? It costs Β£6 for a cinema ticket. Given that there are no current offers. How much would it cost to buy 6 tickets?

5/7

Q6.Does this scenario represent direct or inverse proportion or neither? π‘₯ 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 Β£12 each month, even if no gas is used. Each unit of gas costs 25 pence.

6/7

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?

7/7

Lesson summary: Direct or inverse proportion?

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This was the final lesson in the unit Direct and indirect proportion.

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