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Proportion (Cambridge O Level Maths)

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Proportion

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Proportion

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1
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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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2
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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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3a
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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3b
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Calculate the distance the ball falls in 2 seconds.

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

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4
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y is inversely proportional to the cube root of x.

Given that y space equals space 2.5 when x space equals space 8, find y when x space equals space 64.

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1
Sme Calculator2 marks

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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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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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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1
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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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2a
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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2b
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When t equals 1.8, find the positive value of x.

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

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3
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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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