1.

(a) Simplify x 8 × x 3
….......................…
(1)

(b) Simplify ( 5 y )3
….......................…
(1)
7
w
(c) Simplify 4
w
….......................…
(1)

(Total for question 1 is 3 marks)

2.
(a) Simplify a 9 × a4
….......................…
(1)
3
(b) Simplify ( 4 b2 c )
….......................…
(2)
9
d
(c) Simplify 4
d
….......................…
(1)

(Total for question 2 is 4 marks)

3.
(a) Simplify 2 m2 ×5 n 6
….......................…
(1)
 3
15 p
(b) Simplify 4
3p
….......................…
(2)

(Total for question 3 is 3 marks)

4.
4
(a) Simplify ( t 3 )
….......................…
(1)
2 6
12m n
(b) Simplify 4
3 mn
….......................…
(2)

(Total for question 4 is 3 marks)

5.
Simplify 5 m2 n 3 ×3 m n4
….......................…
(2)

(Total for question 5 is 2 marks)

6.
(a) Write down the value of 5−3
….......................…
(1)
(b) Write down the value of 50
….......................…
(1)

(Total for question 6 is 2 marks)

7.
Work out the value of 52 ×23
….......................…
(2)

(Total for question 7 is 2 marks)

8.
Write down the value of 2−3
….......................…
(1)

(Total for question 8 is 1 mark)

9.
(a) y 2 × y a= y 7
Find the value of a.
….......................…
(1)
b
(b) ( y 4 ) = y 12
Find the value of b.
….......................…
(1)

(Total for question 9 is 2 marks)

10.
6
x 8
(a) Given a
=x , find the value of a.
x
a=¿ ….......................…
(1)
 4
(b) Simplify ( 2 m2 )
….......................…
(2)

(Total for question 10 is 3 marks)

11.
4 5
3 ×3
(a) Write 2 as a power of 3
3
….......................…
(2)
(b) Write down the value of 3−3
….......................…
(1)
(c) Write down the value of 30
….......................…
(1)

(Total for question 11 is 4 marks)

12.
9 −2
2 ×2
Work out the value of 4
2
….......................…
(2)

(Total for question 12 is 2 marks)

13.
3
Work out the value of ( 22 )
….......................…
(1)

(Total for question 13 is 1 mark)

14.
(a) Simplify p3 × p5
….......................…
(1)
3
(b) Simplify ( 4 a b 2)
….......................…
(2)
7 3
16 m n
(c) Simplify 3
4m n
….......................…
(2)

(Total for question 14 is 5 marks)

15.
4 x
10 =10 Find the value of x.
….......................…
(1)

(Total for question 15 is 1 mark)

16.
3
2 ×2
Work out the value of 5
2
….......................…
(2)

(Total for question 16 is 2 marks)

17.
Write down the reciprocal of 8
….......................…
(1)
(Total for question 17 is 1 mark)

18.
(a) Simplify 9 p3 ×2 p−2
….......................…
(1)
3
(b) Simplify ( 5 x 3 y 2 )
….......................…
(2)
(c) p3 × p5= p12 × p y
Find the value of y.
….......................…
(2)

(Total for question 18 is 5 marks)

19.
x
10 =1Write down the value of x.
….......................…
(1)

(Total for question 19 is 1 mark)

20.
Write 54 × 5 as a power of 5
….......................…
(1)

(Total for question 20 is 1 mark)

21.
Write down the reciprocal of 2
….......................…
(1)

(Total for question 21 is 1 mark)

22.
(a) Simplify 5 c 2 d3 ×2 d
….......................…
(1)
5
64 × 4
(b) Write 2 as a power of 4
4
….......................…
(2)
2
(c) Simplify p3 × ( p5 )
….......................…
(2)

(Total for question 22 is 5 marks)

23.
9 5 x
p × p = p Write down the value of x.
….......................…
(1)

(Total for question 23 is 1 mark)

24.
1
Write down the reciprocal of
3
….......................…
(1)

(Total for question 24 is 1 mark)

25.
3 5
10 p q r
Simplify 3 6
4p q
….......................…
(2)

(Total for question 25 is 2 marks)