Topic Test 1 (20 minutes)
Surds (non-calculator) - Higher
1 (a) Simplify ( 15 ) 4
[1 mark]
Answer
96
1 (b) Simplify
8
Give your answer in the form a 3 , where a is an integer.
[2 marks]
Answer
1 (c) Simplify
[1 mark]
Answer
2 Circle the value that is equivalent to
[1 mark]
AQA Education (AQA) is a registered charity (number 1073334) and a company limited by guarantee register
England and Wales (number 3644723). Our registered address is AQA, Devas Street, Manchester M15 6EX.
3 Circle the value that is equivalent to ÷
[1 mark]
4 Show that can be written as a integer.
[2 marks]
5 Rationalise the denominator and simply
[2 marks]
Answer
AQA Education (AQA) is a registered
charity (number 1073334) and a company limited by guarantee registered 2 of 5
England and Wales (number 3644723). Our registered address is AQA, Devas Street, Manchester M15 6EX.
6 Here are the first 4 terms of a geometric progression
6 (a) Work out the 10th term.
Give your answer in terms of r.
[1 mark]
Answer
6 (b) When r = 8, work out the sum of the first 4 terms.
Give your answer in the form a(b + ), where a and b are integers.
[3 marks]
Answer
AQA Education (AQA) is a registered
charity (number 1073334) and a company limited by guarantee registered 3 of 5
England and Wales (number 3644723). Our registered address is AQA, Devas Street, Manchester M15 6EX.
7 All lengths are in centimetres.
Work out the area of this rectangle.
Give your answer in the form , where a and b are integers.
[2 marks]
Answer cm2
AQA Education (AQA) is a registered
charity (number 1073334) and a company limited by guarantee registered 4 of 5
England and Wales (number 3644723). Our registered address is AQA, Devas Street, Manchester M15 6EX.
8 For a right-angled triangle with sides a, b and c, Pythagoras’ theorem states that
a2 + b2 = c2 a c
b
Is this triangle right-angled?
All lengths are in centimetres.
[4 marks]
AQA Education (AQA) is a registered
charity (number 1073334) and a company limited by guarantee registered 5 of 5
England and Wales (number 3644723). Our registered address is AQA, Devas Street, Manchester M15 6EX.
