REPORT FOR: Open Number Theory - Nationals 2023
(Jump to Results By Student)

MEAN SCORE: 67.167     STANDARD DEVIATION: 30.948     MEDIAN SCORE: 70.5

Average number of questions left blank:	11.9
Average number of questions answered incorrectly:	7.1
Average number of questions answered correctly:	11.1

Question #1:     Correct Answer: D

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	5.6%	8.3%	5.6%	80.6%	0.0%		0.0%	19.4%	80.6%
Number of students (out of 36)	2	3	2	29	0		0	7	29

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Question #2:     Correct Answer: B

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	5.6%	72.2%	5.6%	2.8%	0.0%		13.9%	13.9%	72.2%
Number of students (out of 36)	2	26	2	1	0		5	5	26

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Question #3:     Correct Answer: C

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	30.6%	5.6%	22.2%	8.3%	2.8%		30.6%	47.2%	22.2%
Number of students (out of 36)	11	2	8	3	1		11	17	8

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Question #4:     Correct Answer: D

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	13.9%	0.0%	11.1%	44.4%	13.9%		16.7%	38.9%	44.4%
Number of students (out of 36)	5	0	4	16	5		6	14	16

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Question #5:     Correct Answer: D

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	0.0%	5.6%	5.6%	33.3%	8.3%		47.2%	19.4%	33.3%
Number of students (out of 36)	0	2	2	12	3		17	7	12

---

Question #6:     Correct Answer: B

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	0.0%	58.3%	16.7%	0.0%	0.0%		25.0%	16.7%	58.3%
Number of students (out of 36)	0	21	6	0	0		9	6	21

---

Question #7:     Correct Answer: B

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	8.3%	61.1%	2.8%	2.8%	5.6%		19.4%	19.4%	61.1%
Number of students (out of 36)	3	22	1	1	2		7	7	22

---

Question #8:     Correct Answer: D

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	2.8%	11.1%	8.3%	27.8%	0.0%		50.0%	22.2%	27.8%
Number of students (out of 36)	1	4	3	10	0		18	8	10

---

Question #9:     Correct Answer: A

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	8.3%	22.2%	11.1%	8.3%	5.6%		44.4%	47.2%	8.3%
Number of students (out of 36)	3	8	4	3	2		16	17	3

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Question #10:     Correct Answer: D

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	5.6%	8.3%	8.3%	22.2%	11.1%		44.4%	33.3%	22.2%
Number of students (out of 36)	2	3	3	8	4		16	12	8

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Question #11:     Correct Answer: C

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	0.0%	2.8%	83.3%	0.0%	0.0%		13.9%	2.8%	83.3%
Number of students (out of 36)	0	1	30	0	0		5	1	30

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Question #12:     Correct Answer: A

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	44.4%	11.1%	2.8%	2.8%	5.6%		33.3%	22.2%	44.4%
Number of students (out of 36)	16	4	1	1	2		12	8	16

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Question #13:     Correct Answer: A

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	52.8%	8.3%	11.1%	2.8%	0.0%		25.0%	22.2%	52.8%
Number of students (out of 36)	19	3	4	1	0		9	8	19

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Question #14:     Correct Answer: B

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	0.0%	27.8%	5.6%	8.3%	0.0%		58.3%	13.9%	27.8%
Number of students (out of 36)	0	10	2	3	0		21	5	10

---

Question #15:     Correct Answer: C

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	2.8%	5.6%	55.6%	13.9%	2.8%		19.4%	25.0%	55.6%
Number of students (out of 36)	1	2	20	5	1		7	9	20

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Question #16:     Correct Answer: B

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	2.8%	36.1%	2.8%	5.6%	2.8%		50.0%	13.9%	36.1%
Number of students (out of 36)	1	13	1	2	1		18	5	13

---

Question #17:     Correct Answer: A

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	38.9%	2.8%	2.8%	8.3%	0.0%		47.2%	13.9%	38.9%
Number of students (out of 36)	14	1	1	3	0		17	5	14

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Question #18:     Correct Answer: D

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	13.9%	5.6%	13.9%	19.4%	2.8%		44.4%	36.1%	19.4%
Number of students (out of 36)	5	2	5	7	1		16	13	7

---

Question #19:     Correct Answer: B

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	0.0%	27.8%	8.3%	13.9%	0.0%		50.0%	22.2%	27.8%
Number of students (out of 36)	0	10	3	5	0		18	8	10

---

Question #20:     Correct Answer: C

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	0.0%	8.3%	47.2%	0.0%	2.8%		41.7%	11.1%	47.2%
Number of students (out of 36)	0	3	17	0	1		15	4	17

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Question #21:     Correct Answer: C

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	5.6%	8.3%	22.2%	2.8%	5.6%		55.6%	22.2%	22.2%
Number of students (out of 36)	2	3	8	1	2		20	8	8

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Question #22:     Correct Answer: A

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	58.3%	5.6%	13.9%	11.1%	5.6%		5.6%	36.1%	58.3%
Number of students (out of 36)	21	2	5	4	2		2	13	21

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Question #23:     Correct Answer: C

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	5.6%	5.6%	30.6%	2.8%	2.8%		52.8%	16.7%	30.6%
Number of students (out of 36)	2	2	11	1	1		19	6	11

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Question #24:     Correct Answer: B

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	5.6%	30.6%	11.1%	2.8%	0.0%		50.0%	19.4%	30.6%
Number of students (out of 36)	2	11	4	1	0		18	7	11

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Question #25:     Correct Answer: B

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	0.0%	25.0%	13.9%	2.8%	0.0%		58.3%	16.7%	25.0%
Number of students (out of 36)	0	9	5	1	0		21	6	9

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Question #26:     Correct Answer: E

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	19.4%	5.6%	8.3%	5.6%	25.0%		36.1%	38.9%	25.0%
Number of students (out of 36)	7	2	3	2	9		13	14	9

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Question #27:     Correct Answer: A

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	11.1%	0.0%	16.7%	27.8%	0.0%		44.4%	44.4%	11.1%
Number of students (out of 36)	4	0	6	10	0		16	16	4

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Question #28:     Correct Answer: E

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	0.0%	5.6%	8.3%	0.0%	27.8%		58.3%	13.9%	27.8%
Number of students (out of 36)	0	2	3	0	10		21	5	10

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Question #29:     Correct Answer: C

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	0.0%	8.3%	11.1%	2.8%	0.0%		77.8%	11.1%	11.1%
Number of students (out of 36)	0	3	4	1	0		28	4	4

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Question #30:     Correct Answer: A

	Answered A	Answered B	Answered C	Answered D	Answered E		Left It Blank	Got It Wrong	Got It Correct
Percent of students	0.0%	11.1%	8.3%	5.6%	0.0%		75.0%	25.0%	0.0%
Number of students (out of 36)	0	4	3	2	0		27	9	0

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Rank

Score

School

Student

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

1st

132

Lawton Chiles High School

Aaron Hu

D

B

E

D

D

B

B

D

A

D

C

A

A

B

C

A

D

B

C

C

A

C

B

B

E

A

E

B

2nd

122

Buchholz High School

Andrew Xing

D

B

C

D

D

B

B

D

D

C

A

A

B

C

B

A

D

C

C

A

C

E

E

3rd

114

American Heritage Broward

Darsh Patel

D

B

D

E

B

B

D

A

D

C

A

B

D

B

A

A

B

C

C

A

C

B

B

E

D

E

4th

109

Buchholz High School

Edward Guthrie

D

B

C

E

B

B

D

C

A

A

B

C

A

B

C

A

C

B

B

E

E

5th

106

Buchholz High School

Kelsey Morey

D

B

E

B

B

C

D

D

C

A

A

B

C

B

A

D

B

C

C

A

B

D

A

E

6th

99

Buchholz High School

Will Guan

D

B

A

D

D

B

B

D

C

A

A

B

C

B

A

D

C

A

C

B

B

7th

97

American Heritage Broward

Timothy Kong

D

B

D

D

D

B

B

D

C

D

C

A

A

D

C

A

A

B

C

A

B

E

E

8th

93

Community School of Naples

Melita D'Souza

D

B

C

D

D

B

B

D

C

A

B

D

B

B

C

A

B

B

A

A

E

B

9th

86

American Heritage Broward

Sailalitha Kodukula

D

B

D

D

B

D

C

C

A

A

C

B

A

C

E

D

E

D

E

10th

84

American Heritage Broward

Joseph Wang

D

B

A

D

D

B

D

A

C

A

A

C

B

A

C

C

B

C

A

C

C

C

A

C

C

C

11th

81

Vestavia Hills High School

Cuewon Kim

D

B

A

D

B

B

D

C

D

C

A

C

A

B

E

B

C

E

E

12th

78

Vestavia Hills High School

Eric Wang

D

B

A

D

E

B

B

B

E

C

A

A

C

A

E

C

A

C

B

B

E

D

13th

77

American Heritage Broward

Aaron Zhang

D

B

B

E

D

B

B

B

B

E

C

B

A

B

C

B

A

B

B

C

A

B

B

A

D

B

B

B

14th

76

Alabama School of Fine Arts

Rishi Yellamraju

D

B

D

B

B

C

A

C

B

D

C

A

C

D

Rank

Score

School

Student

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

15th

75

American Heritage Palm Beach

Isidoro Lapidot

D

B

A

C

D

B

B

D

D

A

C

A

B

C

C

B

B

C

B

C

A

A

C

C

C

C

C

C

C

C

16th

74

American Heritage Palm Beach

Pratheek Nathani

D

B

A

D

D

B

B

A

B

C

C

B

A

B

C

D

A

B

C

A

A

17th

74

Buchholz High School

Abhinav Pothuri

D

B

A

C

D

A

C

E

C

A

A

C

B

D

D

C

B

A

C

B

A

18th

71

Dunbar High School

Jaansi Parsa

D

B

A

D

B

B

D

C

A

C

C

C

A

D

19th

70

American Heritage Palm Beach

Tom Zhang

D

B

A

D

D

B

B

C

B

B

C

E

A

B

C

E

A

C

C

C

B

A

E

A

C

C

C

C

C

C

20th

69

Buchholz High School

Zach Xiao

D

B

D

B

C

A

C

A

C

A

B

21st

67

Buchholz High School

Luke Xue

D

B

A

A

B

B

B

A

C

A

A

C

D

B

A

C

B

D

22nd

60

Alabama School of Fine Arts

Becker Barghothi

D

C

C

A

B

B

B

B

B

C

B

B

A

B

C

D

A

A

B

C

D

D

B

B

C

B

C

C

C

D

23rd

53

Buchholz High School

Rishi Gadikota

D

B

C

C

C

C

C

C

A

B

A

D

24th

52

Orlando Science Schools

Amogh Reddy

D

B

D

E

C

B

C

C

C

D

C

C

B

A

B

D

A

B

25th

40

Windsor Charter Academy

Kendall Albertsen

D

B

A

D

C

C

A

D

B

C

C

B

A

D

B

A

C

D

D

B

A

C

A

A

D

B

C

E

D

B

26th

40

Thomas Jefferson High School

Justin Lowey

D

C

D

D

D

27th

39

Alabama School of Fine Arts

Nicholas Godwin

D

B

E

B

C

E

28th

38

Gainesville High School

Kallum Wang

D

C

B

E

B

E

C

D

B

C

C

D

Rank

Score

School

Student

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

29th

33

Thomas Jefferson High School

Abel Mesfin

A

B

B

A

C

B

C

E

B

B

C

C

E

D

C

E

D

30th

33

Kamehameha Schools

Nathaniel Ho

C

A

B

E

D

D

A

31st

33

Marion High School

Ryan Spitzer

B

D

C

A

B

C

A

D

E

B

C

A

B

D

C

B

D

A

D

E

C

D

C

A

C

B

D

32nd

32

Scottsbluff High School

Grant Kildow

D

D

D

33rd

31

Kamehameha Schools

Steadman Chang

B

A

D

C

B

E

C

C

D

34th

27

Thomas Jefferson High School

Aileen Suh

B

E

C

35th

27

Saint Edward's School

Conor Powell

C

A

C

36th

26

Thomas Jefferson High School

Gurshan Singh

A

C

C

C

C

C

C

B

E