Let a, b and c be the pear numbers.
a + b is a square number
b + c is a square number
c + a is a square number
Answers
1, 8 and 8
2, 2 and 2
2, 2 and 7
2, 2 and 14
2, 2 and 23
2, 2 and 34
2, 2 and 47
2, 2 and 62
2, 2 and 79
2, 2 and 98
2, 7 and 2
2, 14 and 2
2, 23 and 2
2, 23 and 98
2, 34 and 2
2, 34 and 47
2, 47 and 2
2, 47 and 34
2, 62 and 2
2, 79 and 2
2, 98 and 2
2, 98 and 23
2, 98 and 98
3, 22 and 78
3, 78 and 22
4, 21 and 60
4, 32 and 32
4, 60 and 21
5, 20 and 44
5, 44 and 20
6, 19 and 30
6, 30 and 19
6, 75 and 94
6, 94 and 75
7, 2 and 2
7, 18 and 18
8, 1 and 8
8, 8 and 1
8, 8 and 8
8, 8 and 17
8, 8 and 28
8, 8 and 41
8, 8 and 56
8, 8 and 73
8, 8 and 92
8, 17 and 8
8, 28 and 8
8, 41 and 8
8, 56 and 8
8, 73 and 8
8, 92 and 8
9, 72 and 72
10, 54 and 90
10, 90 and 54
12, 52 and 69
12, 69 and 52
14, 2 and 2
14, 35 and 86
14, 50 and 50
14, 86 and 35
15, 34 and 66
15, 66 and 34
16, 33 and 48
16, 48 and 33
17, 8 and 8
17, 32 and 32
18, 7 and 18
18, 18 and 7
18, 18 and 18
18, 18 and 31
18, 18 and 46
18, 18 and 63
18, 18 and 82
18, 31 and 18
18, 46 and 18
18, 63 and 18
18, 82 and 18
19, 6 and 30
19, 30 and 6
20, 5 and 44
20, 44 and 5
21, 4 and 60
21, 60 and 4
22, 3 and 78
22, 78 and 3
23, 2 and 2
23, 2 and 98
23, 98 and 2
23, 98 and 98
26, 74 and 95
26, 95 and 74
28, 8 and 8
28, 72 and 72
29, 52 and 92
29, 92 and 52
30, 6 and 19
30, 19 and 6
30, 51 and 70
30, 70 and 51
31, 18 and 18
31, 50 and 50
32, 4 and 32
32, 17 and 32
32, 32 and 4
32, 32 and 17
32, 32 and 32
32, 32 and 49
32, 32 and 68
32, 32 and 89
32, 49 and 32
32, 68 and 32
32, 89 and 32
33, 16 and 48
33, 48 and 16
34, 2 and 2
34, 2 and 47
34, 15 and 66
34, 47 and 2
34, 66 and 15
35, 14 and 86
35, 86 and 14
41, 8 and 8
44, 5 and 20
44, 20 and 5
46, 18 and 18
46, 98 and 98
47, 2 and 2
47, 2 and 34
47, 34 and 2
48, 16 and 33
48, 33 and 16
48, 73 and 96
48, 96 and 73
49, 32 and 32
49, 72 and 72
50, 14 and 50
50, 31 and 50
50, 50 and 14
50, 50 and 31
50, 50 and 50
50, 50 and 71
50, 50 and 94
50, 71 and 50
50, 94 and 50
51, 30 and 70
51, 70 and 30
52, 12 and 69
52, 29 and 92
52, 69 and 12
52, 92 and 29
54, 10 and 90
54, 90 and 10
56, 8 and 8
60, 4 and 21
60, 21 and 4
62, 2 and 2
63, 18 and 18
66, 15 and 34
66, 34 and 15
68, 32 and 32
69, 12 and 52
69, 52 and 12
70, 30 and 51
70, 51 and 30
71, 50 and 50
71, 98 and 98
72, 9 and 72
72, 28 and 72
72, 49 and 72
72, 72 and 9
72, 72 and 28
72, 72 and 49
72, 72 and 72
72, 72 and 97
72, 97 and 72
73, 8 and 8
73, 48 and 96
73, 96 and 48
74, 26 and 95
74, 95 and 26
75, 6 and 94
75, 94 and 6
78, 3 and 22
78, 22 and 3
79, 2 and 2
82, 18 and 18
86, 14 and 35
86, 35 and 14
89, 32 and 32
90, 10 and 54
90, 54 and 10
92, 8 and 8
92, 29 and 52
92, 52 and 29
94, 6 and 75
94, 50 and 50
94, 75 and 6
95, 26 and 74
95, 74 and 26
96, 48 and 73
96, 73 and 48
97, 72 and 72
98, 2 and 2
98, 2 and 23
98, 2 and 98
98, 23 and 2
98, 23 and 98
98, 46 and 98
98, 71 and 98
98, 98 and 2
98, 98 and 23
98, 98 and 46
98, 98 and 71
98, 98 and 98

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Teacher, do your students have
access to computers? Do they have iPads or Laptops in Lessons?
Whether your students each have a TabletPC, a Surface or a Mac,
this activity lends itself to eLearning (Engaged Learning). 

Here a concise URL for a version of this page without the comments.
Transum.org/go/?Start=January8
Here is the URL which will take them to a similar activity.
Transum.org/go/?Start=March20
Here is the URL which will take them to another activity involving square numbers.
Transum.org/go/?to=Square