CIE IGCSE Maths: Extended

Topic Questions

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

Syllabus Edition

First teaching 2021

Last exams 2024

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1.10 Direct & Inverse Proportion

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1
Sme Calculator2 marks

y is directly proportional to left parenthesis x minus 4 right parenthesis.
When x equals 16, y equals 3.
 
Find y in terms of x.
 

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

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2
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space p is directly proportional to open parentheses q plus 2 close parentheses squared.
When q equals 1, space p equals 1.
 

Find space p when q equals 10.
 

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

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3
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space y is inversely proportional to the square root of x.
When space y equals 7, x equals 2.25.
 
Write space y in terms of x.
 

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

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4
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y is inversely proportional to x cubed.
When x equals 2, y equals 0.5.
 
Find y in terms of x.
 

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

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5
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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 ..............................................

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6
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y is directly proportional to left parenthesis x minus 1 right parenthesis squared.
When x equals 3 comma space y equals 24.

Find y when x equals 6.

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

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1
Sme Calculator3 marks

y is directly proportional to the square root of x.
When x equals 9, y equals 6.
 
Find y when x equals 25.
 

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

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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................................................

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2b
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Calculate the distance the ball falls in 2 seconds.

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

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3
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y is inversely proportional to x.
When x equals 9, y equals 8.

Find y when x equals 6.


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

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

Find y when x equals 5.


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

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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 = ...................................................

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

Find m when p equals 6.


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

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2
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space y is directly proportional to the cube root of open parentheses x plus 3 close parentheses.
When x equals 5 comma space y equals 2 over 3.
 
Find space y when x equals 24.
 

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

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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.

Write t in terms of x.


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

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3b
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When t equals 1.8, find the positive value of x.

x = ...................................................

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4
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y is inversely proportional to open parentheses x plus 3 close parentheses squared
When x equals 2, y equals 8.

Find y when x equals 7.
 

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

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5
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y is inversely proportional to the square of left parenthesis x plus 2 right parenthesis.
When x equals 3, y equals 2.

Find y when x equals 8.

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

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6
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y is inversely proportional to the square root of left parenthesis x plus 1 right parenthesis.
When x equals 8 comma space y equals 2.

Find y when x equals 99.
 

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

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7
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y is inversely proportional to the square of left parenthesis x plus 1 right parenthesis.
y equals 0.875 when x equals 1.

Find y when x equals 4.
 

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

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