Statistics


These statistics only include those students who are fully registered for the USAMTS. They will change slightly as we receive missing Entry Forms and add improperly registered students to the database.

Overall: All - Grade 12 - Grade 11 - Grade 10 - Grade 9 - Grade 8 or below
Round 1: All - Grade 12 - Grade 11 - Grade 10 - Grade 9 - Grade 8 or below
Round 2: All - Grade 12 - Grade 11 - Grade 10 - Grade 9 - Grade 8 or below
Round 3: All - Grade 12 - Grade 11 - Grade 10 - Grade 9 - Grade 8 or below
Round 4: All - Grade 12 - Grade 11 - Grade 10 - Grade 9 - Grade 8 or below
Commended Solvers Per Problem - Score Distribution Per Problem

Overall Scores Distribution - All students
100
99
98
97
96
95
94
93
92
91
7
11
3
10
6
4
10
13
1
6
90
89
88
87
86
85
84
83
82
81
6
10
9
7
12
9
5
7
10
8
80
79
78
77
76
75
74
73
72
71
12
9
15
8
9
11
5
4
6
7
70
69
68
67
66
65
64
63
62
61
8
9
9
6
9
8
3
9
6
10
60
59
58
57
56
55
54
53
52
51
4
6
4
4
4
4
6
3
2
6
50
49
48
47
46
45
44
43
42
41
2
4
7
9
7
6
10
10
5
10
40
39
38
37
36
35
34
33
32
31
6
4
3
7
5
2
5
5
9
5
30
29
28
27
26
25
24
23
22
21
2
2
1
3
5
33
17
31
14
15
20
19
18
17
16
15
14
13
12
11
29
11
12
13
3
16
14
9
8
9
10
9
8
7
6
5
4
3
2
1
14
7
9
5
3
13
7
4
6
1

Total: 717; Average: 49.19

Overall Scores Distribution - Grade 12
100
99
98
97
96
95
94
93
92
91
0
3
1
3
2
3
1
4
0
1
90
89
88
87
86
85
84
83
82
81
2
2
2
2
2
2
1
4
2
1
80
79
78
77
76
75
74
73
72
71
3
1
4
0
1
0
0
1
2
3
70
69
68
67
66
65
64
63
62
61
2
2
4
0
3
2
1
2
1
4
60
59
58
57
56
55
54
53
52
51
0
3
0
2
2
2
1
0
1
2
50
49
48
47
46
45
44
43
42
41
0
1
2
6
1
4
1
7
1
4
40
39
38
37
36
35
34
33
32
31
4
0
0
4
1
1
3
3
2
0
30
29
28
27
26
25
24
23
22
21
0
0
0
1
2
14
9
12
5
6
20
19
18
17
16
15
14
13
12
11
8
3
2
4
1
5
3
1
2
0
10
9
8
7
6
5
4
3
2
1
3
1
0
0
0
0
1
1
1
0

Total: 200; Average: 48.07

Overall Scores Distribution - Grade 11
100
99
98
97
96
95
94
93
92
91
5
3
1
2
2
0
6
4
0
4
90
89
88
87
86
85
84
83
82
81
1
4
1
4
4
4
1
2
6
4
80
79
78
77
76
75
74
73
72
71
5
4
5
4
5
5
3
3
2
3
70
69
68
67
66
65
64
63
62
61
2
4
2
4
2
1
2
3
3
4
60
59
58
57
56
55
54
53
52
51
3
3
2
1
2
2
2
2
1
3
50
49
48
47
46
45
44
43
42
41
1
1
3
3
3
1
3
2
3
5
40
39
38
37
36
35
34
33
32
31
0
2
2
2
1
1
0
1
3
3
30
29
28
27
26
25
24
23
22
21
1
1
1
1
0
8
4
7
4
4
20
19
18
17
16
15
14
13
12
11
9
2
4
7
1
8
5
4
3
3
10
9
8
7
6
5
4
3
2
1
5
2
2
0
1
4
0
2
1
0

Total: 252; Average: 51.90

Overall Scores Distribution - Grade 10
100
99
98
97
96
95
94
93
92
91
2
5
1
4
2
1
3
3
1
1
90
89
88
87
86
85
84
83
82
81
0
4
2
1
2
3
1
1
2
1
80
79
78
77
76
75
74
73
72
71
3
2
6
2
1
2
1
0
1
1
70
69
68
67
66
65
64
63
62
61
1
0
1
1
3
3
0
1
0
2
60
59
58
57
56
55
54
53
52
51
0
0
1
1
0
0
2
0
0
1
50
49
48
47
46
45
44
43
42
41
0
1
1
0
1
0
5
1
0
0
40
39
38
37
36
35
34
33
32
31
2
2
0
0
3
0
2
1
2
1
30
29
28
27
26
25
24
23
22
21
1
0
0
1
0
6
2
8
4
5
20
19
18
17
16
15
14
13
12
11
6
4
2
2
0
2
2
3
0
2
10
9
8
7
6
5
4
3
2
1
4
4
5
3
1
4
2
1
4
1

Total: 157; Average: 48.90

Overall Scores Distribution - Grade 9
100
99
98
97
96
95
94
93
92
91
0
0
0
1
0
0
0
2
0
0
90
89
88
87
86
85
84
83
82
81
3
0
4
0
3
0
2
0
0
1
80
79
78
77
76
75
74
73
72
71
0
2
0
2
1
3
1
0
1
0
70
69
68
67
66
65
64
63
62
61
0
2
2
1
0
2
0
2
2
0
60
59
58
57
56
55
54
53
52
51
1
0
1
0
0
0
0
0
0
0
50
49
48
47
46
45
44
43
42
41
1
1
1
0
2
0
1
0
0
1
40
39
38
37
36
35
34
33
32
31
0
0
1
1
0
0
0
0
2
0
30
29
28
27
26
25
24
23
22
21
0
1
0
0
3
3
2
3
0
0
20
19
18
17
16
15
14
13
12
11
5
2
1
0
0
1
3
1
2
2
10
9
8
7
6
5
4
3
2
1
2
0
2
1
0
3
3
0
0
0

Total: 79; Average: 47.38

Overall Scores Distribution - Grade 8 or below
100
99
98
97
96
95
94
93
92
91
0
0
0
0
0
0
0
0
0
0
90
89
88
87
86
85
84
83
82
81
0
0
0
0
1
0
0
0
0
1
80
79
78
77
76
75
74
73
72
71
1
0
0
0
1
1
0
0
0
0
70
69
68
67
66
65
64
63
62
61
3
1
0
0
1
0
0
1
0
0
60
59
58
57
56
55
54
53
52
51
0
0
0
0
0
0
1
1
0
0
50
49
48
47
46
45
44
43
42
41
0
0
0
0
0
1
0
0
1
0
40
39
38
37
36
35
34
33
32
31
0
0
0
0
0
0
0
0
0
1
30
29
28
27
26
25
24
23
22
21
0
0
0
0
0
2
0
1
1
0
20
19
18
17
16
15
14
13
12
11
1
0
3
0
1
0
1
0
1
2
10
9
8
7
6
5
4
3
2
1
0
0
0
1
1
2
1
0
0
0

Total: 29; Average: 39.86

Round 4 Score Distribution - All students
25
24
23
22
21
20
19
18
17
16
30
14
20
9
13
17
14
13
18
16
15
14
13
12
11
10
9
8
7
6
24
28
27
22
12
28
19
11
4
1
5
4
3
2
1
4
3
0
1
0

Total: 321; Average: 16.01

Round 4 Score Distribution - Grade 12
25
24
23
22
21
20
19
18
17
16
7
3
6
3
2
4
0
3
4
2
15
14
13
12
11
10
9
8
7
6
4
5
10
6
2
4
5
2
0
1
5
4
3
2
1
1
0
0
0
0

Total: 71; Average: 16.32

Round 4 Score Distribution - Grade 11
25
24
23
22
21
20
19
18
17
16
12
4
9
2
3
3
8
6
10
7
15
14
13
12
11
10
9
8
7
6
10
14
7
8
4
16
9
5
0
0
5
4
3
2
1
1
0
0
1
0

Total: 129; Average: 15.60

Round 4 Score Distribution - Grade 10
25
24
23
22
21
20
19
18
17
16
11
6
4
3
5
7
4
2
4
5
15
14
13
12
11
10
9
8
7
6
4
2
6
4
4
4
1
2
1
0
5
4
3
2
1
1
1
0
0
0

Total: 76; Average: 17.66

Round 4 Score Distribution - Grade 9
25
24
23
22
21
20
19
18
17
16
0
1
1
1
3
3
2
2
0
1
15
14
13
12
11
10
9
8
7
6
4
5
2
2
0
1
3
2
2
0
5
4
3
2
1
1
1
0
0
0

Total: 32; Average: 14.63

Round 4 Score Distribution - Grade 8 or below
25
24
23
22
21
20
19
18
17
16
0
0
0
0
0
0
0
0
0
1
15
14
13
12
11
10
9
8
7
6
2
2
2
2
2
3
1
0
1
0
5
4
3
2
1
0
1
0
0
0

Total: 13; Average: 12.08

Round 3 Score Distribution - All students
25
24
23
22
21
20
19
18
17
16
87
28
36
36
38
42
25
18
18
14
15
14
13
12
11
10
9
8
7
6
13
11
12
11
3
13
9
10
4
3
5
4
3
2
1
5
0
5
4
0

Total: 407; Average: 19.24

Round 3 Score Distribution - Grade 12
25
24
23
22
21
20
19
18
17
16
24
7
8
12
6
7
6
3
5
3
15
14
13
12
11
10
9
8
7
6
4
4
1
2
1
3
3
0
2
1
5
4
3
2
1
1
0
1
1
0

Total: 99; Average: 19.58

Round 3 Score Distribution - Grade 11
25
24
23
22
21
20
19
18
17
16
30
11
13
11
21
18
14
6
7
6
15
14
13
12
11
10
9
8
7
6
3
4
8
6
1
5
4
4
2
1
5
4
3
2
1
0
0
1
0
0

Total: 158; Average: 19.16

Round 3 Score Distribution - Grade 10
25
24
23
22
21
20
19
18
17
16
20
8
8
8
7
9
1
7
4
4
15
14
13
12
11
10
9
8
7
6
3
3
1
0
1
3
2
2
0
0
5
4
3
2
1
2
0
3
3
0

Total: 91; Average: 19.24

Round 3 Score Distribution - Grade 9
25
24
23
22
21
20
19
18
17
16
11
1
6
3
3
8
3
2
2
0
15
14
13
12
11
10
9
8
7
6
0
0
1
3
0
2
0
1
0
1
5
4
3
2
1
0
0
0
0
0

Total: 43; Average: 19.88

Round 3 Score Distribution - Grade 8 or below
25
24
23
22
21
20
19
18
17
16
2
1
1
2
1
0
1
0
0
1
15
14
13
12
11
10
9
8
7
6
3
0
1
0
0
0
0
3
0
0
5
4
3
2
1
2
0
0
0
0

Total: 16; Average: 16.19

Round 2 Score Distribution - All students
25
24
23
22
21
20
19
18
17
16
42
33
41
38
41
45
32
34
24
25
15
14
13
12
11
10
9
8
7
6
21
21
20
14
12
13
12
12
8
16
5
4
3
2
1
9
5
6
6
4

Total: 492; Average: 17.22

Round 2 Score Distribution - Grade 12
25
24
23
22
21
20
19
18
17
16
13
12
16
10
9
12
8
12
3
6
15
14
13
12
11
10
9
8
7
6
5
5
5
2
5
4
3
3
3
1
5
4
3
2
1
2
1
2
1
0

Total: 136; Average: 17.93

Round 2 Score Distribution - Grade 11
25
24
23
22
21
20
19
18
17
16
14
9
15
15
18
20
14
13
13
6
15
14
13
12
11
10
9
8
7
6
8
7
6
6
5
7
4
2
2
4
5
4
3
2
1
2
3
0
3
1

Total: 179; Average: 17.41

Round 2 Score Distribution - Grade 10
25
24
23
22
21
20
19
18
17
16
12
7
4
6
10
10
4
5
5
8
15
14
13
12
11
10
9
8
7
6
4
5
6
5
1
0
1
4
2
9
5
4
3
2
1
3
0
3
1
2

Total: 108; Average: 16.56

Round 2 Score Distribution - Grade 9
25
24
23
22
21
20
19
18
17
16
3
4
5
6
3
3
5
2
3
3
15
14
13
12
11
10
9
8
7
6
3
2
1
0
1
2
3
2
0
2
5
4
3
2
1
2
1
1
1
0

Total: 52; Average: 16.83

Round 2 Score Distribution - Grade 8 or below
25
24
23
22
21
20
19
18
17
16
0
1
1
1
1
0
1
2
0
2
15
14
13
12
11
10
9
8
7
6
1
2
2
1
0
0
1
1
1
0
5
4
3
2
1
0
0
0
0
1

Total: 17; Average: 14.94

Round 1 Score Distribution - All students
25
24
23
22
21
20
19
18
17
16
192
84
106
67
36
48
24
25
17
4
15
14
13
12
11
10
9
8
7
6
31
18
8
7
5
18
5
4
4
2
5
4
3
2
1
10
4
3
3
0

Total: 661; Average: 20.92

Round 1 Score Distribution - Grade 12
25
24
23
22
21
20
19
18
17
16
57
29
31
18
11
10
10
9
5
1
15
14
13
12
11
10
9
8
7
6
8
4
1
1
0
7
2
0
0
0
5
4
3
2
1
0
0
1
0
0

Total: 189; Average: 21.58

Round 1 Score Distribution - Grade 11
25
24
23
22
21
20
19
18
17
16
65
32
38
29
10
20
5
9
5
3
15
14
13
12
11
10
9
8
7
6
10
7
2
3
3
6
2
1
0
0
5
4
3
2
1
2
0
2
0
0

Total: 233; Average: 21.12

Round 1 Score Distribution - Grade 10
25
24
23
22
21
20
19
18
17
16
40
15
24
11
9
9
5
3
6
0
15
14
13
12
11
10
9
8
7
6
9
2
3
0
1
3
1
2
1
0
5
4
3
2
1
5
1
0
3
0

Total: 136; Average: 20.55

Round 1 Score Distribution - Grade 9
25
24
23
22
21
20
19
18
17
16
24
6
11
7
4
7
3
1
1
0
15
14
13
12
11
10
9
8
7
6
2
3
2
3
1
2
0
1
3
0
5
4
3
2
1
1
3
0
0
0

Total: 77; Average: 20.06

Round 1 Score Distribution - Grade 8 or below
25
24
23
22
21
20
19
18
17
16
6
2
2
2
2
2
1
3
0
0
15
14
13
12
11
10
9
8
7
6
2
2
0
0
0
0
0
0
0
2
5
4
3
2
1
2
0
0
0
0

Total: 26; Average: 18.69

Number of Commended Solvers Per Problem
1
2
3
4
5
Round 1
105
72
59
55
55
Round 2
66
38
34
55
41
Round 3
30
25
47
43
35
Round 4
31
12
22
21
11


Score Distributions Per Problem
5
4
3
2
1
-
Avg
Problem 1/1
598
56
33
8
12
27
4.55
Problem 1/2
278
88
184
49
20
115
3.29
Problem 1/3
434
76
47
36
18
123
3.69
Problem 1/4
585
41
31
31
13
33
4.44
Problem 1/5
600
26
27
18
12
51
4.40
Problem 2/1
255
71
51
73
55
30
3.58
Problem 2/2
162
65
97
67
50
94
2.89
Problem 2/3
183
177
59
24
37
55
3.52
Problem 2/4
215
54
115
77
22
52
3.39
Problem 2/5
309
43
72
15
26
70
3.72
Problem 3/1
401
12
8
8
0
16
4.70
Problem 3/2
350
24
19
9
18
25
4.36
Problem 3/3
190
74
102
21
8
50
3.60
Problem 3/4
263
23
21
29
23
86
3.49
Problem 3/5
154
16
27
139
42
67
2.78
Problem 4/1
288
26
23
8
0
3
4.68
Problem 4/2
250
72
5
5
3
13
4.50
Problem 4/3
91
19
6
24
41
167
1.83
Problem 4/4
94
7
40
25
75
107
2.14
Problem 4/5
97
42
72
28
33
76
2.75
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