igureMaths
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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
p
=
−
2
p = -2
p
=
−
2
and
q
=
−
3
q = -3
q
=
−
3
Work out the value of
3
p
2
−
q
3
3p^2 - q^3
3
p
2
−
q
3
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Level 4
3 marks
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→
Mark as done
(a)
Priya says that
−
6
2
=
36
-6^2 = 36
−
6
2
=
36
.
Explain why Priya is wrong.
(b)
Work out
(
−
1
)
100
−
(
−
1
)
99
(-1)^{100} - (-1)^{99}
(
−
1
)
100
−
(
−
1
)
99
(c)
Work out
5
−
2
×
(
4
−
7
)
2
5 - 2 \times (4 - 7)^2
5
−
2
×
(
4
−
7
)
2
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Level 4
5 marks
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a
=
−
5
a = -5
a
=
−
5
Work out the value of
2
a
2
+
3
a
2a^2 + 3a
2
a
2
+
3
a
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Level 4
2 marks
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→
Mark as done
Work out
5
−
2
×
(
3
−
7
)
2
÷
8
5 - 2 \times (3 - 7)^2 \div 8
5
−
2
×
(
3
−
7
)
2
÷
8
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●
Level 4
3 marks
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→
Prime factorisation
17 questions
Lesson
Not started
Mark as done
2520
=
2
3
×
3
2
×
5
×
7
2520 = 2^3 \times 3^2 \times 5 \times 7
2520
=
2
3
×
3
2
×
5
×
7
(a)
Write 5040 as a product of prime factors in index form.
(b)
Write 252 as a product of prime factors in index form.
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●
Level 4
2 marks
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→
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k
=
2
3
×
3
×
5
2
k = 2^3 \times 3 \times 5^2
k
=
2
3
×
3
×
5
2
(a)
Explain why
k
k
k
is
not
a square number.
(b)
Find the smallest whole number
n
n
n
such that
k
n
kn
k
n
is a square number.
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●
Level 4
3 marks
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→
Mark as done
p
=
2
4
×
3
×
5
3
p = 2^4 \times 3 \times 5^3
p
=
2
4
×
3
×
5
3
(a)
Explain how you can tell that 12 is a factor of
p
p
p
.
(b)
Find the largest square number that is a factor of
p
p
p
.
●●●●
●
Level 4
3 marks
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780
=
2
2
×
3
×
5
×
13
780 = 2^2 \times 3 \times 5 \times 13
780
=
2
2
×
3
×
5
×
13
Use this fact to write each of the following as a product of prime factors in index form.
(a)
1560
1560
1560
(b)
390
390
390
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Level 4
2 marks
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→
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n
=
2
3
×
3
5
×
5
2
n = 2^3 \times 3^5 \times 5^2
n
=
2
3
×
3
5
×
5
2
Find the smallest whole number that
n
n
n
must be multiplied by to give a
square
number.
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●
Level 4
3 marks
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→
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12
=
2
2
×
3
12 = 2^2 \times 3
12
=
2
2
×
3
Find the smallest whole number that
12
12
12
must be multiplied by to give a
cube
number.
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Level 4
3 marks
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→
HCF and LCM
17 questions
Lesson
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Two lighthouses flash together at 8 pm.
One lighthouse flashes every 36 seconds. The other flashes every 60 seconds.
How many seconds after 8 pm do they next flash together?
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●
Level 4
3 marks
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→
Mark as done
A florist has 72 roses and 90 tulips.
She makes identical bunches, using every flower.
(a)
What is the greatest number of bunches she can make?
(b)
How many roses and how many tulips are in each bunch?
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●
Level 4
4 marks
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→
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A
=
2
3
×
3
2
×
5
A = 2^3 \times 3^2 \times 5
A
=
2
3
×
3
2
×
5
and
B
=
2
2
×
3
4
×
7
B = 2^2 \times 3^4 \times 7
B
=
2
2
×
3
4
×
7
(a)
Find the highest common factor (HCF) of
A
A
A
and
B
B
B
.
(b)
Find the lowest common multiple (LCM) of
A
A
A
and
B
B
B
.
Give each answer as a product of prime factors in index form.
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●
Level 4
4 marks
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→
Mark as done
(a)
Write
60
60
60
and
126
126
126
as products of their prime factors.
(b)
Find the highest common factor (HCF) of
60
60
60
and
126
126
126
.
(c)
Find the lowest common multiple (LCM) of
60
60
60
and
126
126
126
.
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●
Level 4
4 marks
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→
Mark as done
Hot dog sausages are sold in packs of
10
10
10
. Bread rolls are sold in packs of
8
8
8
.
Dev wants to buy exactly the same number of sausages as rolls.
(a)
What is the smallest number of sausages he can buy?
(b)
How many packs of each does he buy?
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●
Level 4
3 marks
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