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

Total: 539; Average: 42.03

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

Total: 82; Average: 53.43

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

Total: 193; Average: 38.76

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

Total: 149; Average: 41.30

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

Total: 81; Average: 39.00

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

Total: 34; Average: 43.53

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

Total: 219; Average: 14.91

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

Total: 36; Average: 18.81

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

Total: 69; Average: 13.81

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

Total: 69; Average: 13.71

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

Total: 30; Average: 16.17

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

Total: 15; Average: 13.60

Round 3 Score Distribution - All students
25
24
23
22
21
20
19
18
17
16
67
23
22
26
8
26
6
16
15
13
15
14
13
12
11
10
9
8
7
6
8
8
10
8
5
12
5
16
6
14
5
4
3
2
1
11
7
9
3
6

Total: 297; Average: 17.32

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

Total: 45; Average: 21.38

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

Total: 98; Average: 17.03

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

Total: 87; Average: 16.74

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

Total: 44; Average: 16.09

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

Total: 23; Average: 15.17

Round 2 Score Distribution - All students
25
24
23
22
21
20
19
18
17
16
64
24
37
25
23
20
28
18
24
17
15
14
13
12
11
10
9
8
7
6
16
18
14
19
9
13
11
9
11
13
5
4
3
2
1
10
9
10
7
4

Total: 388; Average: 17.06

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

Total: 66; Average: 20.30

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

Total: 129; Average: 16.84

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

Total: 106; Average: 16.20

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

Total: 58; Average: 15.83

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

Total: 29; Average: 16.28

Round 1 Score Distribution - All students
25
24
23
22
21
20
19
18
17
16
69
25
25
27
23
26
26
19
35
21
15
14
13
12
11
10
9
8
7
6
24
22
22
24
22
20
30
37
27
20
5
4
3
2
1
21
5
5
4
4

Total: 494; Average: 15.37

Round 1 Score Distribution - Grade 12
25
24
23
22
21
20
19
18
17
16
26
3
8
4
7
6
5
4
6
2
15
14
13
12
11
10
9
8
7
6
3
2
1
3
3
0
3
2
0
3
5
4
3
2
1
1
0
1
1
0

Total: 72; Average: 19.13

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

Total: 176; Average: 15.26

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

Total: 140; Average: 14.49

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

Total: 75; Average: 13.97

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

Total: 31; Average: 14.68

Number of Commended Solvers Per Problem
1
2
3
4
5
Round 1
31
42
44
47
31
Round 2
26
24
30
17
29
Round 3
21
16
17
16
17
Round 4
9
17
11
7
5


Score Distributions Per Problem
5
4
3
2
1
-
Avg
Problem 1/1
516
35
14
4
8
1
4.81
Problem 1/2
201
73
97
121
20
10
3.54
Problem 1/3
231
79
72
33
77
12
3.63
Problem 1/4
211
37
29
21
78
43
3.37
Problem 1/5
166
14
31
57
40
46
3.20
Problem 2/1
273
69
40
24
20
2
4.27
Problem 2/2
198
66
85
33
42
4
3.78
Problem 2/3
232
56
51
28
19
7
4.10
Problem 2/4
123
32
35
33
37
20
3.40
Problem 2/5
236
62
26
25
18
14
4.13
Problem 3/1
184
34
33
46
31
8
3.80
Problem 3/2
200
27
17
26
25
7
4.09
Problem 3/3
212
16
40
15
34
10
4.00
Problem 3/4
123
26
52
21
48
32
3.20
Problem 3/5
195
12
15
15
34
9
4.04
Problem 4/1
186
22
17
11
4
3
4.51
Problem 4/2
65
9
35
69
35
3
2.96
Problem 4/3
112
13
8
21
27
12
3.65
Problem 4/4
90
7
12
15
69
13
2.98
Problem 4/5
68
17
64
31
22
13
3.18
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