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Picturing
Square Numbers
http://nrich.maths.org/2275
Full Screen
Interactivity
With Square Numbers
http://nrich.maths.org/content/...
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Square Numbers
1 x 1 = 1 1 is a square number
2 x 2 = 4 4 is a square number
3 x 3 = 9 9 is a square number
4 x 4 = 16 16 is a square number
5 x 5 = 25 25 is a square number
6 x 6 = 36 36 is a square number
7 x 7 = 49 49 is a square number
8 x 8 = 64 64 is a square number
9 x 9 = 81 81 is a square number
10 x 10 = 100 100 is a square number
11 x 11 = 121 121 is a square number
12 x 12 = 144 144 is a square number
13 x 13 = 169 169 is a square number
14 x 14 = 196 196 is a square number
15 x 15 = 225 225 is a square number
and so on
Square Number Game
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Draw lines on a square
to divide into smaller squares
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Lines |
Squares |
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2 |
4 |
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4 |
9 |
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6 |
16 |
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8 |
25 |
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10 |
36 |
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A List Of The First 100 Square Numbers
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| 1 x 1 = 1 |
21 x 21 = 441 |
41 x 41 = 1,681 |
61 x 61 = 3,721 |
81 x 81 = 6,561 |
| 2 x 2 = 4 |
22 x 22 = 484 |
42 x 42 = 1,764 |
62 x 62 = 3,844 |
82 x 82 = 6,724 |
| 3 x 3 = 9 |
23 x 23 = 529 |
43 x 43 = 1,849 |
63 x 63 = 3,969 |
83 x 83 = 6,889 |
| 4 x 4 = 16 |
24 x 24 = 576 |
44 x 44 = 1,936 |
64 x 64 = 4,096 |
84 x 84 = 7,056 |
| 5 x 5 = 25 |
25 x 25 = 625 |
45 x 45 = 2,025 |
65 x 65 = 4,225 |
85 x 85 = 7,225 |
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| 6 x 6 = 36 |
26 x 26 = 676 |
46 x 46 = 2,116 |
66 x 66 = 4,356 |
86 x 86 = 7,396 |
| 7 x 7 = 49 |
27 x 27 = 729 |
47 x 47 = 2,209 |
67 x 67 = 4,489 |
87 x 87 = 7,569 |
| 8 x 8 = 64 |
28 x 28 = 784 |
48 x 48 = 2,304 |
68 x 68 = 4,624 |
88 x 88 = 7,744 |
| 9 x 9 = 81 |
29 x 29 = 841 |
49 x 49 = 2,401 |
69 x 69 = 4,761 |
89 x 89 = 7,921 |
| 10 x 10 = 100 |
30 x 30 = 900 |
50 x 50 = 2,500 |
70 x 70 = 4,900 |
90 x 90 = 8,100 |
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| 11 x 11 = 121 |
31 x 31 = 961 |
51 x 51 = 2,601 |
71 x 71 = 5,041 |
91 x 91 = 8,281 |
| 12 x 12 = 144 |
32 x 32 = 1,024 |
52 x 52 = 2,704 |
72 x 72 = 5,184 |
92 x 92 = 8,464 |
| 13 x 13 = 169 |
33 x 33 = 1,089 |
53 x 53 = 2,809 |
73 x 73 = 5,329 |
93 x 93 = 8,649 |
| 14 x 14 = 196 |
34 x 34 = 1,156 |
54 x 54 = 2,916 |
74 x 74 = 5,476 |
94 x 94 = 8,836 |
| 15 x 15 = 225 |
35 x 35 = 1,225 |
55 x 55 = 3,025 |
75 x 75 = 5,625 |
95 x 95 = 9,025 |
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| 16 x 16 = 256 |
36 x 36 = 1,296 |
56 x 56 = 3,136 |
76 x 76 = 5,776 |
96 x 96 = 9,216 |
| 17 x 17 = 289 |
37 x 37 = 1,369 |
57 x 57 = 3,249 |
77 x 77 = 5,929 |
97 x 97 = 9,409 |
| 18 x 18 = 324 |
38 x 38 = 1,444 |
58 x 58 = 3,364 |
78 x 78 = 6,084 |
98 x 98 = 9,604 |
| 19 x 19 = 361 |
39 x 39 = 1,521 |
59 x 59 = 3,481 |
79 x 79 = 6,241 |
99 x 99 = 9,801 |
| 20 x 20 = 400 |
40 x 40 = 1,600 |
60 x 60 = 3,600 |
80 x 80 = 6,400 |
100 x100 = 10,000 |
2 square numbers
that add to make
a square number
eg 9 + 16 = 25
eg 36 + 64 = 100
eg 81 + 144 = 225
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Square numbers
that are
palindromic
eg 121
eg 484
eg 676
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A square number
which is also
a cube number
eg 64
8 x 8 = 64
4 x 4 x 4 = 64
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3 square numbers
that add to make
a square number
eg 4 + 9 + 36 = 49
eg 1 + 16 + 64 = 81
eg 16 + 25 + 400 = 441
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EXTERNAL LINK Cambridge/Thesaurus/Square Number
EXTERNAL LINK Wolfram/MathWorld/Square Number
SEARCH
Square Numbers
Square Number Worksheets
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Created and Edited by Dr David Cornelius an Independent Private Maths Tutor with over 25 years of experience and The Secretary of The Association of Tutors in the UK for 15 years
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