Download Types of number - An Inductive Activity

Types of number
even numbers
A number that ends in 2, 4, 6, 8 or 0
factor
A number which divides exactly into another number
integer
A whole number
odd number
A number ending in 1, 3, 5, 7 or 9
prime
A number with exactly two factors, 1 and itself.
Square numbers These are made by multiplying a whole number by itself
Triangular numbers
The number sequence made by the following pattern
Objectives
Recognise and use multiples, factors and primes
(less than 100); use simple tests for divisibility
Recognise the first few triangular numbers, squares
of numbers to at least 12 by 12
Recognise simple cubes.
Which is the odd one out?
14
25
36
44
Which is the odd one out?
2
3
4
5
Which is the odd one out?
49
16
64
21
Which is the odd one out?
231
154
324
489
Sorting Numbers
2
6
10
21
36
64
125
512
3
7
11
25
45
81
144
1000
4
8
15
27
49
100
216
5
9
16
28
55
121
343
Sort the numbers into different groups using a mathematical criteria
Repeat using a different mathematical criteria.
How many different groups can you make?
Answers
Guess the Criteria
Group A
2
10
64
512
Group B
3
21
81
Group C
5
45
Group D
7
Group E
11
121
4
16
100
1000
6
28
144
8
36
216
6
27
144
9
36
216
15
45
10
55
15
100
25
125
21
28
49
1000
343
Answers
Guess the Criteria
Group A
2
3
11
Group B
4
9
36
49
100
Group C
3
6
21
28
55
Group D
8
27
216
5
7
16
64
25
81
121
343
144
10
36
15
45
64
125
512
1000
Odd Numbers
Multiples of 3
Multiples of 5
Triangular
Numbers
Even Numbers
Square Numbers
Complete this grid
D Cavill
2003
Why?
Justify your answer
14, 36 and 44 are even numbers
25 is the only odd number
2, 3 and 5 are prime numbers
4 is the only number that is not a
prime number
16, 49 and 64 are square numbers
21 is not a square number
231, 324 and 489 are multiples of 3
231 ÷ 3 = 77
324 ÷ 3 = 108
489 ÷ 3 = 163
154 is not a multiple of 3
Guess the Criteria
Group A – Multiples of 2
2
4
10
16
64
100
512
1000
Group B – Multiples of 3
3
6
21
27
81
144
Group C – Multiples of 5
5
10
45
55
Group D – Multiples of 7
7
21
Group E – Multiples of 11
11
121
28
6
28
144
8
36
216
9
36
216
15
45
15
100
25
125
49
1000
343
Guess the Criteria
Group A – prime numbers
2
3
5
11
Group B – square numbers
4
9
16
36
49
64
100
121
Group C – triangular numbers
3
6
10
21
28
36
55
Group D – cube numbers
8
27
64
216
343
7
25
81
144
15
45
125
512
1000