Indices, Standard Form And Surds Worksheet Page 17
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17Chapter 25 Indices, standard form and surds
A
a
Write 5 720 000 in standard form.
25
p 5 720 000
q 4.5 105
p q
_______
b
Find the value of
(p q)
2
Give your answer in standard form, correct to 2 signifi cant fi gures.
Winter 2005
A nanosecond is 0.000 000 001 second.
26
AO 2
a
Write the number 0.000 000 001 in standard form.
A computer does a calculation in 5 nanoseconds.
b
How many of these calculations can the computer do in 1 second?
Give your answer in standard form.
Summer 2004
a
Write 0.000 000 000 054 in standard form.
27
S 12.6 R
2
R 0.000 000 000 054
Use the formula to calculate the value of S.
b
Give your answer in standard form, correct to 3 signifi cant fi gures.
Winter 2005
A
Solve
28
1
1
1
1
__
__
__
__
4
2
2 2
2
2x
a
x
b
x
c
d
x
16
16
4
2
__
1
a
Rationalise the denominator of
29
__
3
√
__
__
b
Expand (2
3 ) (1
3 ).
√
√
__
Give your answer in the form a b
3 where a and b are integers.
√
June 2008
The value of a car can be modelled by the equation:
30
AO 3
V 17 000 (0.9)
t
where V the value of the car in £s and t age from new in years.
a
Find V when t 0.
b
Find V when t 4.
c
Find the age of the car when the price fi rst falls below £10 000.
d
Sketch a graph showing V against t.
1
1
1
1
______
________
________
________
Calculate
.......
31
AO 2
_____
__
__
__
__
__
2 1
3
2
4
3
10
99
A O 3
√
√
√
√
√
√
626
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