Factors, Powers And Standard Form Worksheet Page 21
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21B
10
Work out the value of (4
3
3 10
) 3 (4
3 10
3
)
21
24
[2 marks]
11
Write each of these as a decimal number.
a
17
0
[1 mark]
b
2
21
[1 mark]
12
Work these out. Give your answers in standard form.
a
(6.2 3 10
6
) 3 (3 3 10
3
)
[2 marks]
b
(2.4 3 10
3
) 4 (2 3 10
11
)
[2 marks]
B
13
An ant colony contains 5 3 10
5
ants. The total mass of all the ants
in the colony is 1.5 kg.
Work out the average mass of an ant.
Give your answer in kg in standard form.
[3 marks]
2
AO
B
14
Anselm wants to take these files to a friend’s house.
Filename
File size (kb)
project_ideas.doc
7.1 3 10
2
science1.mpg
8.34 3 10
5
blues_in_C.wav
9.42 3 10
4
me_bowling.jpg
3
2.41 3 10
He has a memory stick which can hold 1 000 000 kb of data.
3
AO
Will all of his files fit on the memory stick? Show all of your working.
[4 marks]
Chapter summary
In this chapter you have learned how to
• solve problems involving multiples
E
• evaluate expressions involving squares, cubes
and roots
C
• solve problems involving factors
E
• write a number as a product of prime factors
• recognise two-digit prime numbers
E
C
using index notation
• calculate squares and cubes
E
• use prime factors to find HCFs and LCMs
C
• calculate square roots and cube roots
E
• use laws of indices to multiply and divide
• understand and use index notation in
numbers written in index notation
C
B
calculations
E
• understand and use negative powers and
• understand the difference between positive and
numbers to the power of 1 or 0
B
D
negative square roots
• carry out calculations with numbers given in
• find lowest common multiples
C
B
standard form
• find highest common factors
C
178
Factors, powers and standard form
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