Proportion (Cambridge O Level Maths)

Topic Questions

1
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2 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................................................

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2
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3 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 .................................................

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3
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3 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 ..............................................

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1
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3 marks

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

Find yĀ when x equals 5.


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

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2
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3 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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3a
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2 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................................................

3b
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1 mark

Calculate the distance the ball falls in 2 seconds.

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

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1
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3 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................................................

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2a
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2 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 = ...................................................

2b
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2 marks

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

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

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3
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3 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 = ....................................................

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