mathsgenie.co.uk
1
Please do not write on this sheet
mathsgenie.co.uk
1
Find the value of 3-1
11
Find the value of 8 3
(1 mark)
2
3
Find the value of
()
−1
4
5
(1 mark)
12
Find the value of 27
1
3
(1 mark)
Find the value of 5-1
(1 mark)
13
Find the value of 125
1
3
(1 mark)
4
Find the reciprocal of 3
(1 mark)
14
−
Find the value of 64
1
3
(1 mark)
5
Find the value of 100
1
2
(1 mark)
15
−
2
Find the value of 64 3
(1 mark)
6
Find the value of 64
1
2
(2 mark)
16
Find the value of 125
2
3
(1 mark)
7
Find the value of 49
1
2
(2 mark)
17
2
−
3
Find the value of 8
(1 mark)
8
Find the value of 81
1
2
(2 mark)
18
−
Find the value of 27
2
3
(1 mark)
9
−
(2 mark)
1
Find the value of 36 2
19
2
6 3
Find the value of (8 x )
(1 mark)
10
Find the value of 64
1
3
20
(1 mark)
Grade 6
(2 mark)
Find the value of
( )
Fractional and Negative Indices
2
64 − 3
125
(2 mark)
Grade 6
mathsgenie.co.uk
21
22
23
24
Find the value of
Find the value of
Find the value of
( )
Please do not write on this sheet
3
25 − 2
16
( )
8
27
2
−
3
()
3
29
(2 mark)
30
(2 mark)
31
Given that 5–n = 0.5
Find the value of (5n)3
Given that 4n = 8
Find the value of n.
4
Find the value of √ 2 × 8 × 1012
(2 mark)
25
Given that 3–n = 0.2
Find the value of (3n)2
(2 mark)
(2 mark)
9 −2
4
mathsgenie.co.uk
32
(2 mark)
(2 mark)
Given that 4–n = 32
Find the value of n.
(2 mark)
3
Find the value of √4 × 16 × 1015
(2 mark)
26
27
28
Given that 3 × 3 = 3n
Find the value n.
Given that 3 × 27 = 3n
Find the value n.
(2 mark)
(2 mark)
Given that x = 2p and y = 2q
Express in terms of x and/or y,
(i)
2p + q
(ii)
22p
(iii)
2q – 1
(3 mark)
Grade 6
Fractional and Negative Indices
Grade 6