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

Total: 525; Average: 43.56

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

Total: 91; Average: 41.33

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

Total: 184; Average: 47.15

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

Total: 129; Average: 42.99

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

Total: 81; Average: 46.25

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

Total: 40; Average: 28.58

Round 4 Score Distribution - All students
25
24
23
22
21
20
19
18
17
16
47
11
16
9
13
19
14
13
5
2
15
14
13
12
11
10
9
8
7
6
13
7
9
10
7
7
4
6
9
5
5
4
3
2
1
3
5
7
3
9

Total: 227; Average: 16.62

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

Total: 31; Average: 17.32

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

Total: 87; Average: 17.66

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

Total: 54; Average: 16.26

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

Total: 41; Average: 15.80

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

Total: 14; Average: 12.43

Round 3 Score Distribution - All students
25
24
23
22
21
20
19
18
17
16
71
30
30
27
15
30
14
14
7
8
15
14
13
12
11
10
9
8
7
6
18
17
4
6
7
9
10
4
6
5
5
4
3
2
1
8
6
3
2
4

Total: 314; Average: 18.38

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

Total: 44; Average: 19.05

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

Total: 119; Average: 18.67

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

Total: 77; Average: 18.68

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

Total: 52; Average: 19.25

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

Total: 22; Average: 12.36

Round 2 Score Distribution - All students
25
24
23
22
21
20
19
18
17
16
41
27
31
22
19
19
14
14
15
12
15
14
13
12
11
10
9
8
7
6
11
13
17
7
11
18
10
4
10
9
5
4
3
2
1
12
13
14
9
9

Total: 340; Average: 15.61

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

Total: 54; Average: 15.87

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

Total: 123; Average: 16.70

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

Total: 80; Average: 15.85

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

Total: 59; Average: 14.61

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

Total: 24; Average: 11.13

Round 1 Score Distribution - All students
25
24
23
22
21
20
19
18
17
16
65
44
36
32
31
27
29
25
18
23
15
14
13
12
11
10
9
8
7
6
20
17
16
20
22
29
17
16
16
9
5
4
3
2
1
14
16
9
10
4

Total: 490; Average: 16.37

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

Total: 90; Average: 16.99

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

Total: 169; Average: 16.94

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

Total: 121; Average: 16.21

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

Total: 77; Average: 16.04

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

Total: 33; Average: 13.03

Number of Commended Solvers Per Problem
1
2
3
4
5
Round 1
48
60
26
29
16
Round 2
28
13
23
53
23
Round 3
48
35
26
20
21
Round 4
6
23
22
26
8


Score Distributions Per Problem
5
4
3
2
1
-
Avg
Problem 1/1
368
50
45
47
20
5
4.28
Problem 1/2
361
41
57
71
23
3
4.15
Problem 1/3
197
64
35
43
88
39
3.26
Problem 1/4
308
17
24
18
59
25
3.94
Problem 1/5
115
84
72
81
82
28
2.97
Problem 2/1
247
24
15
22
17
14
4.24
Problem 2/2
182
16
18
23
34
24
3.73
Problem 2/3
138
84
51
54
34
5
3.61
Problem 2/4
171
13
45
52
33
10
3.64
Problem 2/5
130
21
36
32
42
27
3.29
Problem 3/1
283
24
28
8
6
3
4.59
Problem 3/2
216
29
21
17
39
18
3.92
Problem 3/3
242
12
20
12
8
15
4.37
Problem 3/4
221
40
28
13
13
11
4.26
Problem 3/5
98
35
26
54
27
26
3.17
Problem 4/1
163
8
34
11
14
10
4.10
Problem 4/2
118
48
37
23
14
6
3.87
Problem 4/3
163
13
12
14
9
6
4.33
Problem 4/4
152
5
6
11
13
18
4.06
Problem 4/5
78
5
7
20
18
22
3.26
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