igureMaths
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Integers, powers & roots
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Browse Integers, powers & roots
45 questions at your level
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Level 1
Level 2
Level 3
Level 4
Level 5
Negatives and the order of operations
13 questions
Lesson
Not started
Mark as done
Work out
(a)
3
+
4
×
2
2
3 + 4 \times 2^2
3
+
4
×
2
2
(b)
18
−
12
÷
3
+
1
18 - 12 \div 3 + 1
18
−
12
÷
3
+
1
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Level 3
4 marks
Start
→
Mark as done
(a)
Work out
(
−
12
)
÷
(
−
3
)
+
(
−
2
)
×
5
(-12) \div (-3) + (-2) \times 5
(
−
12
)
÷
(
−
3
)
+
(
−
2
)
×
5
(b)
At midnight the temperature in Oslo is −8°C. By noon the temperature has risen by 13°C. By the next midnight it has fallen 9°C from its noon value.
Work out the temperature at the next midnight.
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Level 3
4 marks
Start
→
Mark as done
Add
one pair of brackets
to each statement to make it true.
(a)
3
+
4
×
2
−
1
=
13
3 + 4 \times 2 - 1 = 13
3
+
4
×
2
−
1
=
13
(b)
20
÷
4
+
1
−
3
=
1
20 \div 4 + 1 - 3 = 1
20
÷
4
+
1
−
3
=
1
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Level 3
2 marks
Start
→
Mark as done
Work out
2
+
3
×
6
14
−
4
\dfrac{2 + 3 \times 6}{14 - 4}
14
−
4
2
+
3
×
6
●●●
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Level 3
2 marks
Start
→
Mark as done
One night in Aberdeen the temperature fell to
−
8
°
-8°
−
8°
C.
The next afternoon it rose to
5
°
5°
5°
C.
(a)
Work out the rise in temperature.
The following night the temperature fell
9
9
9
degrees from
5
°
5°
5°
C.
(b)
Work out the temperature that night.
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Level 3
2 marks
Start
→
Prime factorisation
17 questions
Lesson
Not started
Mark as done
Write 504 as a product of its prime factors.
Give your answer in index form.
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●●
Level 3
3 marks
Start
→
Mark as done
Write
396
396
396
as a product of its prime factors. Give your answer in index form.
●●●
●●
Level 3
2 marks
Start
→
Mark as done
(a)
Write
168
168
168
as a product of its prime factors.
(2 marks)
A
=
3
4
×
5
A = 3^4 \times 5
A
=
3
4
×
5
B
=
3
2
×
5
3
B = 3^2 \times 5^3
B
=
3
2
×
5
3
(b)
Write down the lowest common multiple (LCM) of
A
A
A
and
B
B
B
.
(1 mark)
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Level 3
3 marks
Start
→
HCF and LCM
17 questions
Lesson
Not started
Mark as done
(a)
Write 84 and 120 as products of their prime factors.
(b)
Find the highest common factor (HCF) of 84 and 120.
(c)
Find the lowest common multiple (LCM) of 84 and 120.
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Level 3
4 marks
Start
→
Mark as done
Two buses leave the station together at 9:00 am.
Bus A leaves every
20
20
20
minutes. Bus B leaves every
25
25
25
minutes.
At what time will they next leave together?
●●●
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Level 3
3 marks
Start
→
Mark as done
(a)
Write
168
168
168
as a product of its prime factors.
(2 marks)
A
=
3
4
×
5
A = 3^4 \times 5
A
=
3
4
×
5
B
=
3
2
×
5
3
B = 3^2 \times 5^3
B
=
3
2
×
5
3
(b)
Write down the lowest common multiple (LCM) of
A
A
A
and
B
B
B
.
(1 mark)
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Level 3
3 marks
Start
→
Mark as done
A
A
A
and
B
B
B
are numbers such that
A
=
2
3
×
5
2
×
11
A = 2^3 \times 5^2 \times 11
A
=
2
3
×
5
2
×
11
B
=
5
×
11
2
B = 5 \times 11^2
B
=
5
×
1
1
2
(a)
Find the highest common factor (HCF) of
A
A
A
and
B
B
B
.
(1 mark)
(b)
Find the lowest common multiple (LCM) of
A
A
A
and
B
B
B
.
(2 marks)
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Level 3
3 marks
Start
→