mathsgenie.co.uk
1
2
Please do not write on this sheet
Simplify
x8 × x3
(1)
(b) Simplify
(5y)3
(1)
(c) Simplify
w7
w4
(1)
(a)
(a)
Simplify
Work out the value of 5² × 23
7
(1 mark)
Write down the value of 2-3
8
(1 mark)
(3 marks)
a9 × a4
(1)
2
3
(b) Simplify
(4b c)
(1)
(c) Simplify
d9 ÷ d4
(1)
y² × ya = y7
9
(a) Find the value of a.
Simplify
2m2 × 5n6
(1)
(b) Simplify
15p 3 ÷ 3p 4
(2)
(a)
(b) Find the value of b.
10 (a) Given
(a) Simplify (t 3)4
(b) Simplify 12m²n6 ÷ 3mn4
(b)
11
(3 marks)
5
Simplify 5m²n3 × 3mn4
(2 marks)
6
x6
= x8
a
x
Simplify (2m²)⁴
(1)
(2)
(a) Write down the value of 5-3
(1)
(b) Write down the value of 50
(1)
(1)
(2 marks)
(1)
Find the value of a.
(3 marks)
4
(1)
(y4)b = y12
(3 marks)
3
mathsgenie.co.uk
(a) Write
(2)
(3 marks)
3 4 × 35 as a power of 3
2
3
(2)
(b)
Write down the value of 3-3
(1)
(c)
Write down the value of 30
(1)
(4 marks)
(2 marks)
Grade 4
Indices
Grade 4
mathsgenie.co.uk
12
Work out the value of
Please do not write on this sheet
29 × 2−2
4
2
19
10x = 1
Write down the value of x.
(2 marks)
13
mathsgenie.co.uk
(1 mark)
Work out the value of (22)3
20
Write 54 × 5 as a power of 5
(1 marks)
14
(a)
Simplify p3 × p5
2 3
(b) Simplify (4ab )
(1 mark)
(1)
21
Write down the reciprocal of 2
(2)
(1 mark)
7 3
(c) Simplify
15
16m n
4m3n
(2)
22
(5 marks)
10004 = 10x
(a) Simplify 5c2d3 × 2d
(1)
(b) Write 64 × 45 as a power of 4
(2)
(c) Simplify p3 × ( p5)2
(2)
Find the value of x.
(5 marks)
(1 mark)
16
17
3
Work out the value of 2 × 2
5
2
23
Write down the value of x
(2 marks)
Write down the reciprocal of 8
24
(1 mark)
18
(a)
Simplify 9p3 × 2p-2
(b) Simplify (5x3y2)3
Write down the reciprocal of
(1 mark)
1
3
(1 mark)
(1)
25
(2)
(c) p3 × p5 = p12 × p y
Find the value of y
p9 × p5 = px
Simplify
10p3q5r
4p3q6
(2 marks)
(2)
(5 marks)
Grade 4
Indices
Grade 4