Maths

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Further proportionality

In this lesson, we will look at examples of proportion where we have three variables involved.

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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!

Q1.y is inversely proportional to 𝑥. Given that y = 2 when 𝑥 = 3, find a formula for y in terms of 𝑥.

1/4

Q2.y is inversely proportional to 𝑥. Given that y = 2 when 𝑥 = 3, what is the value of y when 𝑥 = 4?

2/4

Q3.y is inversely proportional to 𝑥. Given that y = 2 when 𝑥 = 3, what is the value of 𝑥 when y = 12?

3/4

Q4.y is inversely proportional to 𝑥². Given that y = 9 when 𝑥 = 2, what is the value of y when 𝑥 = 6?

4/4

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!

Q1.y is inversely proportional to 𝑥. Given that y = 2 when 𝑥 = 3, find a formula for y in terms of 𝑥.

1/4

Q2.y is inversely proportional to 𝑥. Given that y = 2 when 𝑥 = 3, what is the value of y when 𝑥 = 4?

2/4

Q3.y is inversely proportional to 𝑥. Given that y = 2 when 𝑥 = 3, what is the value of 𝑥 when y = 12?

3/4

Q4.y is inversely proportional to 𝑥². Given that y = 9 when 𝑥 = 2, what is the value of y when 𝑥 = 6?

4/4

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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:

Further proportionality

Look at an examples of proportion where we have three variables involved.

Q1.1. y is directly proportional to x and x is inversely proportional to z². y = 20 when x = 5 and z = 2 when x = 3 Find a formula for y in terms of x.

1/3

Q2.2. y is directly proportional to x and x is inversely proportional to z². y = 20 when x = 5 and z = 2 when x = 3 Find a formula for x in terms of z²

2/3

Q3.3. y is directly proportional to x and x is inversely proportional to z². y = 20 when x = 5 and z = 2 when x = 3 Find the value of y when z = 4

3/3

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:

Further proportionality

Look at an examples of proportion where we have three variables involved.

Q1.1. y is directly proportional to x and x is inversely proportional to z². y = 20 when x = 5 and z = 2 when x = 3 Find a formula for y in terms of x.

1/3

Q2.2. y is directly proportional to x and x is inversely proportional to z². y = 20 when x = 5 and z = 2 when x = 3 Find a formula for x in terms of z²

2/3

Q3.3. y is directly proportional to x and x is inversely proportional to z². y = 20 when x = 5 and z = 2 when x = 3 Find the value of y when z = 4

3/3

Lesson summary: Further proportionality

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This was the final lesson in the unit Direct and Inverse Proportion.

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