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Proportion (Cambridge O Level Maths): Exam Questions

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1
Sme Calculator3 marks

y space proportional to space fraction numerator 1 over denominator square root of x end fraction

When space y space equals space 8 comma space x space equals space 4. space

Find y space when space x space equals space 49.

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

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2
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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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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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4a
Sme Calculator1 mark

R is directly proportional to the cube of p.
When p space equals space 2 comma space R space equals space 24.

Find the formula for R in terms of p.

R space equals......................

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4b
Sme Calculator2 marks

Find the value of p when R space equals space 192. 

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

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4c
Sme Calculator1 mark

Which of the diagrams below represents the graph of R against p?

q16c-june-2018-4024-1-cambridge-o-level-maths-d

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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
Sme Calculator2 marks

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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3
Sme Calculator3 marks

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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4
Sme Calculator2 marks

y is proportional to open parentheses x minus 1 close parentheses squared.

Given that y = 18 when x space equals space 4, find y when x space equals space 6.

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

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1
Sme Calculator3 marks

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
Sme Calculator3 marks

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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3
Sme Calculator3 marks

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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4
Sme Calculator3 marks

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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