Cambridge University Press
978-0-521-68996-0 - Foundation Transition for AQA, Edexcel and OCR Two-Tier GCSE Mathematics
The School Mathematics Project
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1
Odds, evens, multiples, factors
This work will help you decide when numbers are
•
•
•
•
•
A
even or odd
divisible by 5 or 10
divisible by any number below 10
multiples of numbers
factors of numbers
Odd and even numbers
level 3
Even numbers are those that can be divided by 2 leaving no remainder.
We say that even numbers are divisible by 2.
Odd numbers are those that are not divisible by 2.
A1 (a) Which numbers in the loop are even?
7
(b) Which are odd?
14
11
6
20
21
A2 Rosie runs a stall at a fete where you pick a ball out of a bag.
If you pick a ball with a number on it you win a soft toy.
• An even number on a ball wins a bear.
• An odd number on a ball wins a bunny.
What do you win with each of these, a bear or a bunny?
(a)
(b)
(c)
(d)
(e)
A3 Each of these cards shows a letter and a number.
D
E
C
I
M
A
L
S
4
29
44
17
55
34
23
12
Write down each letter that is on a card with an odd number.
Rearrange these letters to give the name of a fruit.
*A4 Is the number 629 an odd or an even number?
8 1 Odds, evens, multiples, factors
© Cambridge University Press
www.cambridge.org
Cambridge University Press
978-0-521-68996-0 - Foundation Transition for AQA, Edexcel and OCR Two-Tier GCSE Mathematics
The School Mathematics Project
Excerpt
More information
B
T
Divisibility
level 3
A number that can be divided by 10 exactly (leaving no remainder) is divisible by 10.
• Which numbers in the loop are divisible by 10?
17
How can you decide quickly if a number is divisible by 10?
53
25
32
20
• Which numbers in the loop are divisible by 5?
45
40
5
How can you decide quickly if a number is divisible by 5?
B1 (a) Which numbers in the loop are divisible by 5?
55
52
16
25
30
(b) Which are even?
80
50
53
Which are even and divisible by 5?
(ii) What do you notice about these numbers?
(c)
(i)
B2 Josie runs a stall where you pick a straw out of a box.
Each straw contains a rolled-up slip of paper with a number on it.
• A number that can be divided by 10 exactly wins £1.
Pick a st
raw
• An odd number wins a balloon.
• Any other number wins a lollipop.
What do you win with each of these?
(a)
(b)
23
(c)
60
(d)
15
(e)
100
Work out 21 ) 3.
(ii) Explain how your answer shows that 21 is divisible by 3.
(b) Which numbers in the loop are divisible by 3?
(c) Which numbers in the loop are divisible by 4?
18
B3 (a) (i)
6
24
4
8
18
12
30
10
B4 Each of these cards shows a letter and a number.
O
B
A
D
G
E
R
I
T
15
7
35
9
30
14
28
4
10
(a) Write down each letter that is on a card with
a number that is divisible by 3
(ii) an even number
(iii) a number that is divisible by 5
(iv) a number that is divisible by 7
(b) Rearrange each set of letters to give the name of an animal.
(i)
1 Odds, evens, multiples, factors 9
© Cambridge University Press
www.cambridge.org
Cambridge University Press
978-0-521-68996-0 - Foundation Transition for AQA, Edexcel and OCR Two-Tier GCSE Mathematics
The School Mathematics Project
Excerpt
More information
B5 (a) Which numbers in the wall are divisible by 5?
364
(b) Which are odd?
180
Which number is odd and divisible by 5?
(d) Find two numbers in the wall that add to make 230.
(c)
C
89
44
184
91
45
93
46
Multiples
47
level 4
Multiples of 6 are numbers that are in the 6 times table: 6, 12, 18, 24, 30, …
All numbers that are divisible by 6 are multiples of 6.
For example, 60 ) 6 = 10 so 60 is a multiple of 6.
C1 Copy and complete this list to show all the multiples of 5 up to 50.
5, 10, 15, 20,
,
,
,
,
, 50
C2 List all the multiples of 4 that are less than 30.
C3 Which numbers in this list are multiples of 10?
50, 72, 45, 20, 130, 68, 402, 240
C4 Which numbers in the loop are multiples of
(a) 3
(b) 5
(c)
15
6
50
65
16
12
39
30
36
C5 Each of these cards shows a letter and a number.
S
O
N
I
C
B
R
A
W
L
77
60
55
85
27
35
15
11
132
32
(a) Write down each letter that is on a card with
a multiple of 5
(ii) a multiple of 4
(iii) a multiple of 3
(iv) a multiple of 11
(b) Rearrange each set of letters to give the name of a bird.
(i)
C6 Use the clues to find the numbers.
(a)
(d)
Between 10 and 20
Multiple of 7
Between 40 and 50
Odd multiple of 5
(b)
(e)
Less than 10
Multiple of 9
(c)
Between 20 and 30
Multiple of 8
Multiple of 5 less than 60
Digits add to 8
10 1 Odds, evens, multiples, factors
© Cambridge University Press
www.cambridge.org
Cambridge University Press
978-0-521-68996-0 - Foundation Transition for AQA, Edexcel and OCR Two-Tier GCSE Mathematics
The School Mathematics Project
Excerpt
More information
D
T
Factors
level 4
15 can be divided exactly by 3 (15 ) 3 = 5).
We say that 3 is a factor of 15.
• Find all four factors of 15.
D1 Which number in this list is not a factor of 10?
2, 5, 1, 3, 10
D2 Which of these numbers are factors of 12?
2, 5, 1, 3, 10, 4, 8, 6
D3 List all the factors of 6.
D4 Which of these numbers are factors of 20?
2, 5, 1, 3, 10, 4, 8, 6
D5 Use the clues to find the numbers.
(a)
(b)
Between 2 and 8
Factor of 9
Between 5 and 10
Factor of 28
(c)
Factor of 8
Odd number
Test yourself
3
T1
6
50
57
65
71
Copy and complete these sentences using numbers from the box.
You can use a number more than once.
(a) ……………………………… are all the odd numbers.
(b) ……………………………… can be divided by five exactly.
(c) ……………………………… can be divided by ten exactly.
(d) …………… and …………… add up to 60.
T2 Which numbers in the loop are
(a) even
(c)
multiples of 3
(b) multiples of 10
35
2
9
1
25
OCR
30
40
6
15
(d) factors of 18
T3 Here is a list of numbers.
32 33 36 41 45 47 50
Use a number from this list to complete each sentence.
(a) …………… is an odd number less than 40
(b) …………… is even and divisible by 5.
OCR
1 Odds, evens, multiples, factors 11
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