0÷2=0
2÷2=1
4÷2=2
6÷2=3
8÷2=4
10 ÷ 2 = 5
12 ÷ 2 = 6
14 ÷ 2 = 7
16 ÷ 2 = 8
18 ÷ 2 = 9
20 ÷ 2 = 10
22 ÷ 2 = 11
24 ÷ 2 = 2
26 ÷ 2 = 13
28 ÷ 2 = 14
30 ÷ 2 = 15
0÷3=0
3÷3=1
6÷3=2
9÷3=3
12 ÷ 3 = 4
15 ÷ 3 = 5
18 ÷ 3 = 6
21 ÷ 3 = 7
24 ÷ 3 = 8
27 ÷ 3 = 9
30 ÷ 3 = 10
33 ÷ 3 = 11
36 ÷ 3 = 12
39 ÷ 3 = 13
42 ÷ 3 = 14
45 ÷ 3 = 15
0÷4=0
4÷4=1
8÷4=2
12 ÷ 4 = 3
16 ÷ 4 = 4
10 ÷ 4 = 5
24 ÷ 4 = 6
28 ÷ 4 = 7
32 ÷ 4 = 8
36 ÷ 4 = 9
40 ÷ 4 = 10
44 ÷ 4 = 11
48 ÷ 4 = 12
52 ÷ 4 = 13
56 ÷ 4 = 14
60 ÷ 4 = 15
0÷5=0
5÷5=1
10 ÷ 5 = 2
15 ÷ 5 = 3
20 ÷ 5 = 4
25 ÷ 5 = 5
30 ÷ 5 = 6
35 ÷ 5 = 7
40 ÷ 5 = 8
45 ÷ 5 = 9
50 ÷ 5 = 10
55 ÷ 5 = 11
60 ÷ 5 = 12
65 ÷ 5 = 13
70 ÷ 5 = 14
75 ÷ 5 = 15
0÷6=0
6÷6=1
12 ÷ 6 = 2
18 ÷ 6 = 3
24 ÷ 6 = 4
30 ÷ 6 = 5
36 ÷ 6 = 6
42 ÷ 6 = 7
48 ÷ 6 = 8
54 ÷ 6 = 9
60 ÷ 6 = 10
66 ÷ 6 = 11
72 ÷ 6 = 12
78 ÷ 6 = 13
84 ÷ 6 = 14
90 ÷ 6 = 15
0÷7=0
7÷7=1
14 ÷ 7 = 2
21 ÷ 7 = 3
28 ÷ 7 = 4
35 ÷ 7 = 5
42 ÷ 7 = 6
49 ÷ 7 = 7
56 ÷ 7 = 8
63 ÷ 7 = 9
70 ÷ 7 = 10
77 ÷ 7 = 11
84 ÷ 7 = 12
91 ÷ 7 = 13
98 ÷ 7 = 14
105 ÷ 7 =15
0÷8=0
8÷8=1
16 ÷ 8 = 2
24 ÷ 8 =3
32 ÷ 8 = 4
40 ÷ 8 = 5
48 ÷ 8 = 6
56 ÷ 8 = 7
64 ÷ 8 = 8
72 ÷ 8 = 9
80 ÷ 8 = 10
88 ÷ 8 = 11
96 ÷ 8 = 12
104 ÷ 8 = 13
112 ÷ 8 = 14
120 ÷ 8 = 15
DIVISION RULES
A number is divisible by 2 if the last digit is 0, 2, 4, 6 or 8..
Divisibility by 3:
A number is divisible by 3 if the sum of the digits is divisible by 3
A number is divisible by 4 if the number formed by the last two digits is divisible
by 4.
A number is divisible by 5 if the last digit is either 0 or 5..
Divisibility by 5:
Divisibility by 6:
Divisibility by 9:
A number is divisible by 6 if it is divisible by 2 AND it is divisible by 3.
A number is divisible by 8 if the number formed by the last three digits is
divisible by 8.
A number is divisible by 9 if the sum of the digits is divisible by 9.
Divisibility by 10:
A number is divisible by 10 if the last digit is 0.
Divisibility by 12:
A number is divisible by 12 if it is divisible by 3 AND 4
Divisibility by 8:
0 ÷ 10 = 0
10 ÷ 10 = 1
20 ÷ 10 = 2
30 ÷ 10 = 3
40 ÷ 10 = 4
50 ÷ 10 = 5
60 ÷ 10 = 6
70 ÷ 10 = 7
80 ÷ 10 = 8
90 ÷ 10 = 9
100 ÷ 10 = 10
110 ÷ 10 = 11
120 ÷ 10 =12
130 ÷ 10 = 13
140 ÷ 10 = 14
150 ÷ 10 = 15
SQUARE ROOTS
Divisibility by 2:
Divisibility by 4:
0÷9=0
9÷9=1
18 ÷ 9 = 2
27 ÷ 9 = 3
36 ÷ 9 = 4
45 ÷ 9 = 5
54 ÷ 9 = 6
63 ÷ 9 = 7
72 ÷ 9 = 8
81 ÷ 9 = 9
90 ÷ 9 = 10
99 ÷ 9 = 11
108÷ 9 = 12
117 ÷ 9 = 13
126 ÷ 9 = 14
135 ÷ 9 =15
ORDER OF OPERATIONS(BODMAS)
FIRST
Brackets
SECOND
“of” and then “x”
THIRD
“x” and “÷”
FOURTH
“+” and “-”
0 x 11 = 0
1 ÷ 11 = 1
22 ÷ 11 = 2
33 ÷ 11 = 3
44 ÷ 11 = 4
55 ÷ 11 = 5
66 ÷ 11 = 6
77 ÷ 11 = 7
88 ÷ 11 = 8
99 ÷ 11 = 9
110 ÷ 11 =10
121 ÷ 11 = 11
132 ÷ 11 = 12
143 ÷ 11 = 13
154 ÷ 11 = 14
165 ÷ 11 = 15
√
√
√
1
2
3
CUBE ROOTS
1
√
2
√
3
√
√
√
√
4
5
6
√
√
√
√
√
√
√
√
√
√
7
8
9
10
11
12
13
√
√
√
√
4
5
6
7
8
9
10
0 ÷ 12 = 0
12 ÷ 12 = 1
24 ÷ 12 = 2
36 ÷ 12 = 3
48 ÷ 12 = 4
60 ÷ 12 = 5
72 ÷ 12 = 6
84 ÷ 12 = 7
96 ÷ 12 = 8
108 ÷ 12 = 9
120 ÷12 = 10
132 ÷ 12 = 11
144 ÷ 12 = 12
156 ÷ 12 =13
168 ÷ 12 = 14
180 ÷ 12 = 15