Higher

Higher

# Further proportionality

## Lesson details

### Key learning points

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

### 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.

## Video

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## Worksheet

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## Starter quiz

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### 4 Questions

Q1.
1. y is inversely proportional to 𝑥. Given that y = 2 when 𝑥 = 3, find a formula for y in terms of 𝑥.
A
B
C
Q2.
2. y is inversely proportional to 𝑥. Given that y = 2 when 𝑥 = 3, what is the value of y when 𝑥 = 4?
B
C
D
Q3.
3. y is inversely proportional to 𝑥. Given that y = 2 when 𝑥 = 3, what is the value of 𝑥 when y = 12?
A
B
D
Q4.
4. y is inversely proportional to 𝑥². Given that y = 9 when 𝑥 = 2, what is the value of y when 𝑥 = 6?
A
B
C

## Exit quiz

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### 3 Questions

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.
A
C
D
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
A
B