igureMaths
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Level 4
Level 5
Writing numbers in standard form
14 questions
Lesson
Not started
Mark as done
Write
45
×
10
6
45 \times 10^6
45
×
1
0
6
in standard form.
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Level 4
1 mark
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Mark as done
(a)
Write 0.00306 in standard form.
(b)
Explain why
30.6
×
10
−
4
30.6 \times 10^{-4}
30.6
×
1
0
−
4
is
not
standard form, even though it equals 0.00306.
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Level 4
2 marks
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p
=
8
×
10
5
p = 8 \times 10^5
p
=
8
×
1
0
5
. Write
2
p
2p
2
p
in standard form.
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Level 4
2 marks
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→
Mark as done
Write
0.35
×
10
5
0.35 \times 10^5
0.35
×
1
0
5
in standard form.
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Level 4
2 marks
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→
Mark as done
Write these numbers in order of size, starting with the smallest.
3.4
×
10
−
2
5.1
×
10
−
3
2.9
×
10
−
2
8
×
10
−
3
3.4 \times 10^{-2} \qquad 5.1 \times 10^{-3} \qquad 2.9 \times 10^{-2} \qquad 8 \times 10^{-3}
3.4
×
1
0
−
2
5.1
×
1
0
−
3
2.9
×
1
0
−
2
8
×
1
0
−
3
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Level 4
2 marks
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q
=
3.6
×
10
7
q = 3.6 \times 10^7
q
=
3.6
×
1
0
7
Write
q
9
\dfrac{q}{9}
9
q
in standard form.
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Level 4
2 marks
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→
Calculating in standard form
20 questions
Lesson
Not started
Mark as done
Work out
(
4
×
10
5
)
×
(
5
×
10
3
)
(4 \times 10^5) \times (5 \times 10^3)
(
4
×
1
0
5
)
×
(
5
×
1
0
3
)
. Give your answer in standard form.
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Level 4
3 marks
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→
Mark as done
Work out
8
×
10
7
3.2
×
10
2
\dfrac{8 \times 10^7}{3.2 \times 10^2}
3.2
×
1
0
2
8
×
1
0
7
. Give your answer in standard form.
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Level 4
3 marks
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→
Mark as done
Work out
(
3.4
×
10
5
)
+
(
2.7
×
10
4
)
(3.4 \times 10^5) + (2.7 \times 10^4)
(
3.4
×
1
0
5
)
+
(
2.7
×
1
0
4
)
. Give your answer in standard form.
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Level 4
3 marks
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→
Mark as done
Work out
6
×
10
8
1.5
×
10
−
3
\dfrac{6 \times 10^8}{1.5 \times 10^{-3}}
1.5
×
1
0
−
3
6
×
1
0
8
. Give your answer in standard form.
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●
Level 4
3 marks
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→
Mark as done
Work out
(
6
×
10
4
)
×
(
7
×
10
5
)
(6 \times 10^4) \times (7 \times 10^5)
(
6
×
1
0
4
)
×
(
7
×
1
0
5
)
. Give your answer in standard form.
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●
Level 4
2 marks
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→
Mark as done
Work out
9
×
10
8
3
×
10
−
2
\dfrac{9 \times 10^8}{3 \times 10^{-2}}
3
×
1
0
−
2
9
×
1
0
8
. Give your answer in standard form.
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●
Level 4
2 marks
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→
Mark as done
Work out
(
5.6
×
10
6
)
−
(
8
×
10
5
)
(5.6 \times 10^6) - (8 \times 10^5)
(
5.6
×
1
0
6
)
−
(
8
×
1
0
5
)
. Give your answer in standard form.
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●
Level 4
2 marks
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→
Mark as done
M
=
A
B
M = \frac{A}{B}
M
=
B
A
A
=
7.26
×
10
5
A = 7.26 \times 10^{5}
A
=
7.26
×
1
0
5
correct to
3
3
3
significant figures.
B
=
4.8
×
10
2
B = 4.8 \times 10^{2}
B
=
4.8
×
1
0
2
correct to
2
2
2
significant figures.
Work out the upper bound for
M
M
M
.
Give your answer as an ordinary number correct to the nearest integer.
You must show all your working.
(3 marks)
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Level 4
3 marks
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→
Standard form in context
19 questions
Lesson
Not started
Mark as done
Light travels at
3
×
10
8
3 \times 10^8
3
×
1
0
8
metres per second. Work out how far light travels in 5 minutes. Give your answer in metres, in standard form.
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Level 4
3 marks
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Mark as done
The mass of the Earth is
5.97
×
10
24
5.97 \times 10^{24}
5.97
×
1
0
24
kg. The mass of the Moon is
7.35
×
10
22
7.35 \times 10^{22}
7.35
×
1
0
22
kg.
How many times greater is the mass of the Earth than the mass of the Moon? Give your answer to 1 decimal place.
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Level 4
3 marks
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A country has a population of
6.8
×
10
7
6.8 \times 10^7
6.8
×
1
0
7
people and an area of
2.4
×
10
5
2.4 \times 10^5
2.4
×
1
0
5
km².
Work out the number of people per km². Give your answer to 3 significant figures.
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Level 4
3 marks
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Sound travels at
3.4
×
10
2
3.4 \times 10^2
3.4
×
1
0
2
metres per second.
Work out how far sound travels in
2
×
10
3
2 \times 10^3
2
×
1
0
3
seconds. Give your answer in standard form.
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Level 4
2 marks
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A
=
8
×
10
9
A = 8 \times 10^9
A
=
8
×
1
0
9
and
B
=
4
×
10
5
B = 4 \times 10^5
B
=
4
×
1
0
5
How many times bigger is
A
A
A
than
B
B
B
? Give your answer in standard form.
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●
Level 4
2 marks
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→
Mark as done
One bacterium has a mass of
9.5
×
10
−
13
9.5 \times 10^{-13}
9.5
×
1
0
−
13
grams.
A colony contains
5
×
10
8
5 \times 10^8
5
×
1
0
8
bacteria.
Work out the total mass of the colony. Give your answer in grams, in standard form.
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Level 4
3 marks
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→