WorksheetsIndices and Standard Form
Total questions: 10
Worksheet time: 33mins
Name
Class
Date
1.
Simplify the following, giving your answers with positive indices:
(4a2b)×(6ab)a)
24a2b2
b)
24a3b
c)
24a3b2
d)
10a3b2
2.
The number below, when written in standard form is:
0.000 000 017 3a)
1.73 ×10−8
b)
1.73 ×108
c)
17.3 ×10−9
d)
1.73×10−9
3.
Calculate
(6 × 102) + (3 × 103)
Give your answer in standard form.
a)
3.6 × 102
b)
3.6 × 103
c)
3,600
4.
Write in standard form
6 x 1012 ÷ 3 x 104
6 x 1012 ÷ 3 x 104
a)
18 x 108
b)
2 x 103
c)
2 x 1016
d)
2 x 108
5.
Simplify: (3x)2 × (2x3y)2 ÷ 6y3
a)
6x8y-1
b)
6x8y
c)
3x7y
d)
3x7y-1
6.
Which expression is equivalent to the following?
a)
32x3y4
b)
32x9y13
c)
16x8y12
d)
16x6y7
7.
Simplify
a)
10x3
b)
x4 / 2
c)
x3
d)
x3 / 2
8.
Simplify: (4pq3)2 ÷ (2p2q)3
a)
2p-4q3
b)
8p4q3
c)
16p4q2
d)
4p-4q2
9.
Find the standard form value of (2.5 x 104 ) x ( 6 x 10−9 )
a)
15 ×10−5
b)
15 ×10−4
c)
1.5 × 10−4
d)
1.5 × 10−6
10.
The rectangular floor of a living room measures 4000cm long and 2800cm wide. The floor is covered with square tiles each of side 20cm. Calculate the number of square tiles used to cover the floor of the living room.
a)
2.8 x 104
b)
2.8 x 108
c)
5.6 x 104
d)
5.6 x 108
100 %
