IGCSEMaths: ExtendedCIETopic Questions1. Number1.10 Direct & Inverse Proportion

Syllabus Edition

First teaching 2021

Last exams 2024

|

Direct & Inverse Proportion (CIE IGCSE Maths: Extended)

Topic Questions

DownloadView
Medium
Hard
Very Hard
Medium
Hard
Very Hard
1
Sme Calculator2 marks

y is directly proportional to left parenthesis x minus 4 right parenthesis.
When x equals 16, y equals 3.
Ā 
FindĀ y in terms ofĀ x.
Ā 

y equals....................................................

How did you do?

Did this page help you?

2
Sme Calculator3 marks

space p is directly proportional toĀ open parentheses q plus 2 close parentheses squared.
WhenĀ q equals 1,Ā space p equals 1.
Ā 

FindĀ space p whenĀ q equals 10.
Ā 

space p equals .................................................

How did you do?

Did this page help you?

3
Sme Calculator2 marks

space y is inversely proportional to the square root of x.
When space y equals 7,Ā x equals 2.25.
Ā 
WriteĀ space y in terms of x.
Ā 

space y equals................................................

How did you do?

Did this page help you?

4
Sme Calculator2 marks

y is inversely proportional to x cubed.
WhenĀ x equals 2,Ā y equals 0.5.
Ā 
FindĀ y in terms of x.
Ā 

y equals ................................................

How did you do?

Did this page help you?

5
Sme Calculator3 marks

y is directly proportional to left parenthesis x minus 1 right parenthesis squared .
When x equals 5 comma space y equals 4.

Find y when x equals 7.

y equals ..............................................

How did you do?

Did this page help you?

6
Sme Calculator3 marks

yĀ is directly proportional to left parenthesis x minus 1 right parenthesis squared.
WhenĀ x equals 3 comma space y equals 24.

Find y whenĀ x equals 6.

y equals................................................

How did you do?

Did this page help you?

1
Sme Calculator3 marks

y is directly proportional to the square root ofĀ x.
WhenĀ x equals 9,Ā y equals 6.
Ā 
FindĀ y whenĀ x equals 25.
Ā 

y = ...............................................

How did you do?

Did this page help you?

2a
Sme Calculator2 marks

A ball falls d metres in t seconds.
d is directly proportional to the square of t.
The ball falls 44.1 m in 3 seconds.

Find a formula for d in terms of t.

d equals................................................

How did you do?

2b
Sme Calculator1 mark

Calculate the distance the ball falls in 2 seconds.

............................................ m

How did you do?

Did this page help you?

3
Sme Calculator3 marks

y is inversely proportional to x.
When x equals 9, y equals 8.

Find y when x equals 6.


y = ............................................

How did you do?

Did this page help you?

4
Sme Calculator3 marks

yĀ is inversely proportional to x squared.
When x equals 4, y equals 7.5.

Find yĀ when x equals 5.


y equals .................................................

How did you do?

Did this page help you?

5
Sme Calculator3 marks

y is inversely proportional to x squared.
When x equals 4, y equals 2.

Find y when x equals 1 half.

y = ...................................................

How did you do?

Did this page help you?

1
Sme Calculator3 marks

m is inversely proportional to the square of open parentheses p minus 1 close parentheses.
WhenĀ p equals 4 comma space m equals 5.

Find m when p equals 6.


m equals ..................................................

How did you do?

Did this page help you?

2
Sme Calculator3 marks

space y is directly proportional to the cube root ofĀ open parentheses x plus 3 close parentheses.
WhenĀ x equals 5 comma space y equals 2 over 3.
Ā 
Find space y whenĀ x equals 24.
Ā 

y equals................................................

How did you do?

Did this page help you?

3a
Sme Calculator2 marks

t is inversely proportional to the square of left parenthesis x plus 1 right parenthesis.
When x equals 2, t equals 5.

WriteĀ t in terms ofĀ x.


t = ...................................................

How did you do?

3b
Sme Calculator2 marks

When t equals 1.8,Ā find the positive value of x.

xĀ = ...................................................

How did you do?

Did this page help you?

4
Sme Calculator3 marks

y is inversely proportional toĀ open parentheses x plus 3 close parentheses squared
WhenĀ x equals 2,Ā y equals 8.

FindĀ y whenĀ x equals 7.
Ā 

y equals.................................................

How did you do?

Did this page help you?

5
Sme Calculator3 marks

y is inversely proportional to the square of left parenthesis x plus 2 right parenthesis.
WhenĀ x equals 3, y equals 2.

FindĀ y whenĀ x equals 8.

y = ...............................................

How did you do?

Did this page help you?

6
Sme Calculator3 marks

y is inversely proportional to the square root ofĀ left parenthesis x plus 1 right parenthesis.
WhenĀ x equals 8 comma space y equals 2.

FindĀ y whenĀ x equals 99.
Ā 

y= ............................................

How did you do?

Did this page help you?

7
Sme Calculator3 marks

y is inversely proportional to the square ofĀ left parenthesis x plus 1 right parenthesis.
y equals 0.875 when x equals 1.

FindĀ y whenĀ x equals 4.
Ā 

y = ....................................................

How did you do?

Did this page help you?