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Surds
Question Paper
Course CIE IGCSE Maths
Section Number
Topic Surds
Difficulty Medium
Time allowed: 60
Score: /47
Percentage: /100
Page 1 of 7
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Question 1
Simplify.
32 + 98
[2 marks]
Question 2a
12
Rationalise the denominator of .
3
[2 marks]
Question 2b
Work out the value of ( 2 + 8 )2 .
[2 marks]
Question 3
Work out the value of ( 12 − 3 ) 2 .
[2 marks]
Page 2 of 7
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Question 4
10
Rationalise the denominator of .
5
Give your answer in its simplest form.
[2 marks]
Question 5
12
Show that
3+2
can be written in the form a b where a is a simplified fraction and b is an integer.
[2 marks]
Question 6
Show that (6 + 2 12 ) 2 = 12(7 + 4 3 )
Show each stage of your working.
[3 marks]
Page 3 of 7
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Question 7
20 + 80
Show that can be expressed in the form a where a is an integer.
3
Show your working clearly.
[3 marks]
Question 8
Show that 45 + 20 = 5 5
Show your working clearly.
[2 marks]
Question 9
10
Rationalise the denominator of
6
Give your answer in its simplest form
[2 marks]
Question 10
Show that 20 = 2 5 .
Page 4 of 7
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[2 marks]
Question 11
Write (1 + 3 ) 2 in the form a + b 3 .
[3 marks]
Question 12
Simplify 6 × 3 .
[2 marks]
Question 13
Simplify fully by rationalising the denominator.
20
5
[3 marks]
Page 5 of 7
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Question 14
Simplify fully.
200
[2 marks]
Question 15
Write 12 + 75 in the form k 3 .
[3 marks]
Question 16
Simplify fully.
50 + 2
[2 marks]
Question 17
Work out 2 10 × 80 × 18
Give your answer as an integer.
Page 6 of 7
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[3 marks]
Question 18
10
Rationalise the denominator and simplify
3 5
[2 marks]
Question 19
8300 = 100 × 83
Circle the number that is closest in value to 8300
19 90 830 900
[1 mark]
Question 20
14
Show that can be written in the form a b where a and b are integers.
7
[2 marks]
Page 7 of 7
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