Download Factors and multiples 10a Square numbers 10b

List the factors of 16.
16 ⫽ 1 ⫻ 16, 2 ⫻ 8 or 4 ⫻ 4
So the factors of 16 are 1, 2, 4, 8 and 16.
1 List the first five multiples of these numbers.
a 2
b 5
c 6
d9
e 12
2 List all the factors of these numbers.
a 3
b 4
c 10
d 18
e 25
3 True or false? Explain each answer.
a 38 is an even number
b 85 is a multiple of 5
c 4 is a factor of 34
d 72 will divide by 3 exactly.
4 Gemma wins £68.43 on the lottery.
She decides to give an equal share to each of her three children.
Can this be done?
5 Clare makes 114 cards to sell at a Christmas fair.
If Clare bundles her cards into packs of 4,
will she have an exact number of packs?
10b Square numbers
example
example
10a Factors and multiples
Calculate 192
Using a calculator: 1
9
x2
1 Without using a calculator, write the value of these.
a 32 ⫽ 3 ⫻ ⫽
b 52 ⫽ 5 ⫻ ⫽
c 82 ⫽ ⫻ ⫽
d 92 ⫽ ⫻ ⫽
e 102 ⫽ ⫻ ⫽
f 122 ⫽ ⫻ ⫽
2 Use your calculator to find the value of these
square numbers.
a 132
b 172
c 312
2
2
d 35
e 70
3 a Copy and continue this sequence for three more lines.
1⫽1
1⫹3⫽4
1⫹3⫹5⫽9
b What type of numbers are on the left hand side of
each equation?
c What type of numbers are on the right hand side of
each equation?
4 Work out the area of these.
55 cm
85 m
a
b
6 True or false?
Any multiple of 6 is also a multiple of 2 and a multiple of 3.
c
55 cm
85 m
Candace’s
chess board
The playground at
Tom’s school
54
Algebra Factors and multiples
361
ⴝ
72 m
72 m
A swimming pool in
a pleasure park
Algebra Square numbers
55