igureMaths
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43 questions at your level
Difficulty
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Level 1
Level 2
Level 3
Level 4
Level 5
The index laws
18 questions
Lesson
Not started
Mark as done
Simplify:
(a)
x
5
×
x
3
x^5 \times x^3
x
5
×
x
3
(b)
y
9
÷
y
3
y^9 \div y^3
y
9
÷
y
3
(c)
(
z
4
)
3
(z^4)^3
(
z
4
)
3
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Level 3
3 marks
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→
Mark as done
Simplify
(
3
x
2
y
)
3
(3x^2y)^3
(
3
x
2
y
)
3
.
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Level 3
2 marks
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→
Mark as done
Simplify:
(a)
3
a
2
×
4
a
5
3a^2 \times 4a^5
3
a
2
×
4
a
5
(b)
20
b
8
÷
4
b
2
20b^8 \div 4b^2
20
b
8
÷
4
b
2
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Level 3
4 marks
Start
→
Mark as done
Simplify
(
2
x
3
y
2
)
4
\left(2x^3y^2\right)^4
(
2
x
3
y
2
)
4
●●●
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Level 3
2 marks
Start
→
Mark as done
(a)
Simplify
(
2
a
3
b
)
4
(2a^3b)^4
(
2
a
3
b
)
4
(2 marks)
(b)
Work out the value of
8
2
3
8^{\frac{2}{3}}
8
3
2
(1 mark)
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Level 3
3 marks
Start
→
Zero and negative indices
18 questions
Lesson
Not started
Mark as done
Write down the value of:
(a)
5
0
5^0
5
0
(b)
4
−
2
4^{-2}
4
−
2
(c)
(
1
3
)
−
1
\left(\dfrac{1}{3}\right)^{-1}
(
3
1
)
−
1
●●●
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Level 3
3 marks
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→
Mark as done
(a)
Write
2
−
5
2^{-5}
2
−
5
as a fraction.
(b)
Write
1
81
\dfrac{1}{81}
81
1
as a power of 3.
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Level 3
3 marks
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→
Mark as done
Write down the value of:
(a)
7
0
7^0
7
0
(b)
10
−
3
10^{-3}
1
0
−
3
(c)
(
1
4
)
−
2
\left(\dfrac{1}{4}\right)^{-2}
(
4
1
)
−
2
●●●
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Level 3
3 marks
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→
Mark as done
Write these three numbers in order of size, smallest first:
3
−
2
3
0
3
−
1
3^{-2} \qquad 3^0 \qquad 3^{-1}
3
−
2
3
0
3
−
1
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Level 3
2 marks
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Fractional indices
13 questions
Lesson
Not started
Mark as done
Evaluate:
(a)
49
1
/
2
49^{1/2}
4
9
1/2
(b)
27
1
/
3
27^{1/3}
2
7
1/3
(c)
8
2
/
3
8^{2/3}
8
2/3
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Level 3
4 marks
Start
→
Mark as done
Evaluate:
(a)
100
1
/
2
100^{1/2}
10
0
1/2
(b)
64
1
/
3
64^{1/3}
6
4
1/3
(c)
32
1
/
5
32^{1/5}
3
2
1/5
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Level 3
3 marks
Start
→
Mark as done
(a)
Simplify
(
2
a
3
b
)
4
(2a^3b)^4
(
2
a
3
b
)
4
(2 marks)
(b)
Work out the value of
8
2
3
8^{\frac{2}{3}}
8
3
2
(1 mark)
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Level 3
3 marks
Start
→