Cambridge International Mathematics

Assumed Knowledge (Number) 13

1 Write down:

a the first 8 powers of 2

b the first 5 powers of 3

c the first 4 powers of 4

d the first 4 powers of 5.

2 Find without using a calculator:

a

p

25 b^3

p

8 c^5

p

32 d^3

p

27 e^4

p

81

f^3

p

125 g^3

p

64 h^4

p

625 i^3

p

1000 j

q

(^214)
3 Use your calculator to find the exact value of:
a^5
p
1024 b 74 c 47 d^3
p
729
e
p
6 : 76 fg(0:83)^3 h
p
0 : 5041
i^3
p
1 :157 625 j
p
7163 : 9296 k (1:04)^4 l (2:3)^5
Aratiois a way of comparing two quantities.
If we have 6 apples and 4 bananas, the ratio of
the number of apples to the number of bananas
is 6 to 4.
We write this as apples : bananas=6:4
Notice that bananas : apples=4:6
If measurements are involved we must use thesame unitsfor each quantity.
For example, the ratio of lengths shown is
20 : 7 f 20 mm : 7 mmg and not 2:7:
Example 18 Self Tutor
Find the ratio of the number of squares
to the number of triangles.
number of squares : number of triangles
=8:11
F RATIO AND PROPORTION [1.5]
The powers of , , and
are worth memorising.
234 5
2cm 7mm
EXERCISE E
p
16 : 81
IGCSE01
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