Patterns And Relations Worksheet - Grade 7 Page 9
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46You have sorted numbers in a Venn diagram. You can also use a Carroll diagram
to sort numbers.
Divisible by 3
Not Divisible by 3
Here is an example:
Divisible by 8
24, 120, 1104, 12 096
32, 224, 2360
Not Divisible by 8
12, 252, 819, 11 337
10, 139, 9212
Divisibility Rules
A whole number is divisible by:
8
if the number represented by
2
if the number is even
the last 3 digits is divisible
3
by 8
if the sum of the digits is
divisible by 3
9
if the sum of the digits is
4
divisible by 9
if the number represented by the
last 2 digits is divisible by 4
10
if the ones digit is 0
5
if the ones digit is 0 or 5
6
if the number is divisible
by 2 and by 3
Which numbers are divisible by 3? By 9? How do you know?
1.
a) 117
b) 216
c) 4125
d) 726
e) 8217
f) 12 024
Write 3 numbers that are divisible by 6. How did you choose the numbers?
2.
Which of these numbers is 229 344 divisible by? How do you know?
3.
a) 2
b) 3
c) 4
d) 5
e) 6
f) 8
g) 9
h) 10
Use the divisibility rules to find the factors of each number.
4.
How do you know you have found all the factors?
a) 150
b) 95
c) 117
d) 80
Use a Carroll diagram.
5.
Which numbers are divisible by 4? By 9? By 4 and by 9? By neither 4 or 9?
144
128
252
153
235
68
120
361
424
468
12
UNIT 1: Patterns and Relations
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