Year 11
Higher
Year 11
Higher

Further proportionality

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Lesson details

Key learning points

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

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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.
An image in a quiz
A
B
C
Correct answer: D
Q2.
2. y is inversely proportional to 𝑥. Given that y = 2 when 𝑥 = 3, what is the value of y when 𝑥 = 4?
An image in a quiz
Correct answer: A
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?
An image in a quiz
A
B
Correct answer: C
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?
An image in a quiz
A
B
C
Correct answer: D

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.
An image in a quiz
A
Correct answer: B
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
An image in a quiz
A
B
Correct answer: C
D
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
An image in a quiz
Correct answer: A
B
C
D