1 Write 48 in the form k 3 , where k is an integer.

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(Total for question 1 is 2 marks)

2 Write 50 in the form k 2 , where k is an integer.

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(Total for question 2 is 2 marks)

3 Write 5 27 in the form k 3 , where k is an integer.

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(Total for question 3 is 2 marks)

4 Write 7 20 in the form k 5 , where k is an integer.

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(Total for question 4 is 2 marks)

1
5 Expand and Simplify (2 + 3 )(2 – 3)

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(Total for question 5 is 2 marks)

6 Write (3 + 5 )2 in the form a + b 5 , where a and b are integers.

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(Total for question 6 is 2 marks)

7 Expand and Simplify (2 + 5 )(1 – 5)

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(Total for question 7 is 2 marks)

8 Write (3 – 2 )2 in the form a + b 2 , where a and b are integers.

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(Total for question 8 is 2 marks)

2
9 Expand and Simplify (2 + 3 )2 – (2 – 3 )2

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(Total for question 9 is 2 marks)

10 Rationalise the denominator 6

3

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(Total for question 10 is 2 marks)

11 Rationalise the denominator x

x

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(Total for question 11 is 2 marks)

12 Rationalise the denominator 1 + 5

2

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(Total for question 12 is 2 marks)

3
13 Simplify (3 + 6 )
3

(Total for question 13 is 3 marks)

14 Simplify fully (4 + 2 3 )(4 – 2 3 )

11

You must show all your working.

(Total for question 14 is 3 marks)

4
15 Show that 5 + 2 3 can be written as 4 – 3
2+ 3

(Total for question 15 is 3 marks)

3 3+3
16 Show that can be written as 3
3+ 3

(Total for question 16 is 3 marks)

5
 1 2
17 Show that can be written as
1 3
+ 2
2

(Total for question 17 is 3 marks)

18 Show that 2 can be written as 3 – 3

1
+1
3

(Total for question 18 is 3 marks)

6
19 Simplify fully ( a + b )( a – b)

(Total for question 19 is 2 marks)

2
20 Simplify fully ( 2a + b )

(Total for question 20 is 2 marks)