Proportion (Cambridge (CIE) IGCSE International Maths: Extended): Exam Questions

1 hour25 questions
1
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2 marks

The following table of data represents the length, x and area, y of some irregular shapes.

x

1

5

b

y

a

5

20

Given that y is proportional to the square of x, find the values of aand b.

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2
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3 marks

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

When space y equals 8 comma space x equals 4. space
Find ywhen space x equals 49.

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

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3
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3 marks

y varies directly with the square root of x.
When x equals 9y equals 6.  

Find y when x equals 25.  

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

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4
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3 marks

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

Find y when x equals 6.

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

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1
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2 marks

y varies inversely as the square root of left parenthesis x plus 1 right parenthesis.

When x equals 8 comma space y equals 5.

Find y in terms of x.

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2
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2 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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3
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2 marks

y is inversely proportional to x cubed.
When x equals 2y equals 0.5.  

Find y in terms of x.  

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

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4
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3 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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1a
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1 mark

The table below shows the time, t hours, it takes a car to travel a certain distance at different speeds, s miles per hour.

s

30

40

50

60

t

4

3

a

2

State what type of variation model would be suitable for this data.

1b
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2 marks

Find an equation for t in terms of s.

1c
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1 mark

Find the value of a.

1d
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1 mark

State the total distance that the car has driven.

1e
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1 mark

Use the model to calculate the speed if a car takes 30 minutes to complete the journey.

1f
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1 mark

Give a reason why using the model to answer part (e) is not suitable.

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2
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2 marks

m varies inversely with 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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3
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3 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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41 mark

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

Find y when x equals 7.  

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

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5
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2 marks

y varies inversely with 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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