Indices, Standard Form And Surds Worksheet Page 16

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Chapter review
A
a i
Write 7900 in standard form
ii
Write 0.000 35 in standard form.
15
Work out 4  10
3
________
Give your answer in standard form.
b
8  10
5
In 2003 the population of Great Britain was 6.0  10
7
.
16
AO 2
In 2003 the population of India was 9.9  10
8
.
Work out the difference between the population of India and the population of Great Britain in 2003.
Give your answer in standard form.
June 2007
8
 2
x
y
Express y in terms of x.
17
__
3 
27  3
n
Find the value of n.
18
June 2006
__
__
__
__
__
54  k
6
Find the value of k.
2 
8  p
2
Find the value of p.
a
b
19
__
8
8 can be written in the form 8
.
k
20
Find the value of k.
a
__
__
8
8 can also be expressed in the form m
2 where m is a positive integer.
b
Find the value of m.
___
1
c
Rationalise the denominator of
__
8
8
__
2
___
Give your answer in the form
where p is a positive integer.
June 2006
p
Work out
21
2  2.2  10
12
 1.5  10
12
______________________
2.2  10
12
 1.5  10
12
Give your answer in standard form correct to 3 signifi cant fi gures.
Nov 2007
______
p  q
_____
x 
22
pq
p  4  10
8
q  3  10
6
Find the value of x.
Give your answer in standard form correct to 2 signifi cant fi gures.
Mar 2005
 ab
_____
y
2
23
a  b
a  3  10
8
b  2  10
7
Find y.
Give your answer in standard form correct to 2 signifi cant fi gures.
June 2003
A fl oppy disk can store 1 440 000 bytes of data.
24
AO 3
a
Write the number 1 440 000 in standard form.
A hard disk can store 2.4  109 bytes of data.
Calculate the number of fl oppy disks needed to store the 2.4  10
bytes of data.
b
9
Nov 2003
625

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