Year 10 Mathematics
Indices Practice Test 5
Name__________________________
1 Write in expanded form
a)
25
b)
36
c)
9a3b2
d)
–5ab4
2 Write in index form
a)
4x4x4x4x4
b)
2x2x2x2x3x3x3x3x3
c) –6 x –6 x –6 x –6 x –6
d)
axaaxaxbxbxb
3 Write as products of its prime factors in index form
a)
36
b)
400
b)
33 x 37
4 Simplify giving answers in index form
a)
5
24 x 25
Simplify
a)
a2 x a3
b)
7m2 x 5m4
c)
a 2 b 3 x a4 b 5
c)
24a7b9 ÷ 3a5 b6
c)
(a3b2)4
c)
5b0
6 Simplify giving answers in index form
a)
7
27 ÷ 22
b)
39 ÷ 36
Simplify
a)
a6 ÷ a2
b)
12m8 ÷ 4m5
8 Simplify giving answers in index form
a)
9
(32)2
b)
(53)7
Simplify
a)
(a2)8
b)
(2a4)3
10 Simplify giving answers in index form
a)
11
(3a4b3)2
b)
(34)b
Simplify
a)
70
b)
(3a)0
12
Simplify
a)
13
b)
78 ÷ 78
c)
b9 ÷ b9
c)
" 2 % −2
$ '
# 3&
c)
(24)5
Evaluate giving your answers as fractions
a)
14
a6 ÷ a6
2–3
b)
7–2
Write with negative indices
a)
1
62
b)
5
a4
€
15 Simplify writing your answers with positive indices
a)
€
16
50 ÷ 52
€
b)
a4 x 3a–2
Simplify writing your answers in index form
a)
24 x 27
b)
212 ÷ 23
17 Simplify
a)
18
" 4m 2 % 3
b) $ 3 '
# 5n &
15a5b4 ÷ 3a2b3
Evaluate
1
a)
€
36 2
b) 27
1
3
17 Simplify
€
a)
18
19
(16a b )
€
102
b)
10–3
1000
b)
0.000 01
b)
6 x 10–2
Write as basic numerals
a)
21
b)
Write as a power of 10
a)
20
(25 p )
1
2 6 2
Write the value of
a)
€
€
1
8 2
3 x 104
Evaluate
a)
5
10 x 10
2
8
b) 10 ÷ 10
5
c)
2 3
d) (10
(10 )
€
1
9 3
)
22
Express in scientific notation
a)
22
b)
81 000
c)
5 638 000
b)
9.0
c)
3.54
b)
3.48 x 104
c)
1.365 x 105
Express in scientific notation
a)
23
345
6.8
Change to a basic numeral
a)
2.5 x 103