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AhMath Real than i, rational than π

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104. Problem: 1DAA , proposed by Ahmet Arduc
104 is the smallest known number of unit line segments that can exist in the plane, 4 touching at every vertex.
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Format of the items of the selection menu: Problem Order, Problem Code (Difficulty Level). Red problems have a difficulty level of less than 0.75, thus, as an example, a 0.18 means only 18% of all answers submitted are correct.


Number of Responses: 3630
Number of Correct R.: 2387
Difficulty Level: 65.76
1. Problem: 595A , proposed by Ahmet Arduc, Tip: Key Fact(s): 7695
1 is the multiplicative identity.
Correct answers have been submitted by:
1. Mohamed Karamany
2. Jeffrey Robles
3. Joseph Rodelas
4. Mahmut Cemrek
5. Suleyman Akarsu
6. Yavuz Selim Koseoglu
7. John Gamal Aziz Attia
8. Serkan Callioglu
9. Βαρελάς Γεώρ𝛾ιος
10. Marvin Cato
11. Isaiah James de Dios Maling
12. Joselito Torculas
13. John Albert A. Reyes
14. Nheil Ignacio
15. Gerald M. Pascua
16. Angelu G. Leynes
17. Roenz Joshlee Timbol
18. Rindell Mabunga
19. Caed Mark Medul Mendoza
20. Russel J. Galanido
21. Melga Sonio
22. Mark Elis Espiridion
23. Adrian Pilotos Burgos
24. Sumet Ketsri
25. Daniel James Molina
26. Nixon Balandra
27. Jacob Sabido
28. Poetri Sonya Tarabunga
29. John Patrick
30. Lilanie Monique Torilla
31. Chris Norman Algo
32. Christian Daang
33. Grant Lewis Bulaong
34. Richard Phillip Dimaala Fernandez
35. Jake Gacuan
36. Ibrahim Demir
37. Christian Paul Patawaran
38. Amirul Faiz Abdul Muthalib
39. Norwyn Nicholson Kah
40. Jhepoy Dizon
41. Ralph Macarasig
42. Dan Lang
43. Chayapol
44. Dreimuru Tempest
45. Kurara Chibana
46. Lim Jing Ren
47. Alea Astrea
48. Kumar Ayush
49. Joem Canciller
50. Gluttony
51. Serdal Aslantas
52. Radu Bogo
53. Barry Villanueva
54. Randy Orton
55. Captain Magneto
56. Willie Revillame Wowowin
57. Mertkan Simsek
58. Mark Lawrence P Velasco
59. Srinivas Kanigiri
60. Prince Ivan Paraiso
61. Dale Angelo Azas Cortez
62. Mythreya Lakshman
63. Bikram Chohan
64. Law Tik Shun
65. Gideon Tomas
66. Jereco Dela Pena
67. John Aries Sarza
68. nonoy
69. echo gabata
70. Anjelo V. Racho
71. Darwin Ojera
72. Andrei Alido
73. Sam Kashkooli
74. Mark Kenneth Dairo
75. Adisa Tolani
76. Hanelet Santos
 

Futured Math Enthusiasts

The first problem
is solved firstly by
Mohamed Karamany
Last solved problem
351B
by Mertkan Simsek
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Long Jumper
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Marathon Runner
Number of page views
57820

Score Table - Math Enthusiasts (only the first 100)

Score depends on number of correct answers and number of trials.

  • FS stands for First Solver. For each problem, there is a first solver. Each time you solve a problem as the first person your FS score increases by one.
  • SF stands for Solution Files. Some of the Math Enthusiasts sends solutions to the problems. This is to promote their valuable contribution to the Arf League.
  • SP stands for Sniper. You can get this badge if and only if you do not miss any problem in your first try and solve them correctly. Only snipers have the potential to get the full score.
  • UT stands for User Type. "MT" is for Math Teacher and "S" is for Student.

hide this Please submit your country to be listed in this table!

Order Score # of Correct Answers Names Badges Country
FS SF SP UT
1.072.06
87Isaiah James de Dios Maling427 PhilippinesPhilippines
2.070.86
99Caed Mark Medul Mendoza8109MT PhilippinesPhilippines
3.069.42
95Richard Phillip Dimaala Fernandez690MT PhilippinesPhilippines
4.066.48
78Amirul Faiz Abdul Muthalib110MT MalaysiaMalaysia
5.064.42
67Lilanie Monique Torilla055S PhilippinesPhilippines
6.064.01
84Jereco Dela Pena00MT PhilippinesPhilippines
7.063.84
79Jeffrey Robles154 PhilippinesPhilippines
8.053.86
57Sumet Ketsri558 ThailandThailand
9.052.06
62Kurara Chibana40S JapanJapan
10.051.92
54Willie Revillame Wowowin00 PhilippinesPhilippines
11.051.57
63Russel J. Galanido130S South KoreaSouth Korea
12.045.53
66Mertkan Simsek80MT TurkeyTurkey
13.042.17
50Marvin Cato130MT PhilippinesPhilippines
14.041.98
49Radu Bogo040 RomaniaRomania
15.038.81
52Law Tik Shun00MT Hong KongHong Kong
16.036.32
48Nixon Balandra346MT PhilippinesPhilippines
17.035.95
54Randy Orton60 United States of AmericaUnited States of America
18.035.69
60Rindell Mabunga131S PhilippinesPhilippines
19.033.65
35Arjun Singh Rajawat04S IndiaIndia
20.032.33
41Jacob Sabido05S PhilippinesPhilippines
21.028.86
41Darwin Ojera022MT PhilippinesPhilippines
22.026.50
41Joselito Torculas426 PhilippinesPhilippines
23.025.61
57Roenz Joshlee Timbol01S PhilippinesPhilippines
24.025.43
36Lim Jing Ren00S MalaysiaMalaysia
25.025.00
26Alea Astrea00S PhilippinesPhilippines
26.021.67
26Kuba Helsztynski00MT PolandPoland
27.018.27
19Lenard Guillermo02S PhilippinesPhilippines
28.017.48
20Gluttony00 PhilippinesPhilippines
29.016.85
29Joseph Rodelas10S PhilippinesPhilippines
30.015.85
26Norwyn Nicholson Kah038S PhilippinesPhilippines
31.015.81
25Jhepoy Dizon00S PhilippinesPhilippines
32.015.09
19Mark Alvero00MT PhilippinesPhilippines
33.014.92
32Daniel James Molina01S PhilippinesPhilippines
34.014.25
20Ralph Macarasig00S PhilippinesPhilippines
35.013.54
26Joem Canciller10 PhilippinesPhilippines
36.013.46
14John Albert A. Reyes06S PhilippinesPhilippines
37.012.63
17Nheil Ignacio08S PhilippinesPhilippines
38.012.25
22Hanelet Santos015S PhilippinesPhilippines
39.012.11
23Kumar Ayush01S IndiaIndia
40.011.60
28Mark Kenneth Dairo126S PhilippinesPhilippines
41.011.58
17Ibrahim Demir01MT TurkeyTurkey
42.011.13
18Francis Gerard Magtibay00S PhilippinesPhilippines
43.011.08
22Christian Paul Patawaran01S PhilippinesPhilippines
44.010.85
19Bikram Chohan05S IndiaIndia
45.010.82
15Srinivas Kanigiri00S IndiaIndia
46.010.58
11Melga Sonio00S PhilippinesPhilippines
47.010.16
13Poetri Sonya Tarabunga00S IndonesiaIndonesia
48.009.89
12Andrew Chiu00 PhilippinesPhilippines
49.009.62
10Monu Baba Rura Sirsa Up00S IndiaIndia
50.009.42
14Ewen Goisot017 FranceFrance
51.008.89
43Kimi No Nawa8166S JapanJapan
52.008.83
21Christian Daang125S PhilippinesPhilippines
53.008.65
18James Ericson10 ThailandThailand
54.008.57
14Angelu G. Leynes10S PhilippinesPhilippines
55.008.31
11Mark Elis Espiridion00 PhilippinesPhilippines
56.007.94
17Stefano Ongari00S ItalyItaly
57.007.85
14Gideon Tomas00S PhilippinesPhilippines
58.007.39
13Chris Norman Algo010S PhilippinesPhilippines
59.006.92
12Reymark Togno00 PhilippinesPhilippines
60.006.92
12Dreimuru Tempest20S PhilippinesPhilippines
61.006.73
7Adrian Pilotos Burgos00 PhilippinesPhilippines
62.006.01
10Mythreya Lakshman03 IndiaIndia
63.005.77
6Yavuz Selim Koseoglu20S TurkeyTurkey
64.005.77
6Mahmut Cemrek00 TurkeyTurkey
65.005.77
6John Gamal Aziz Attia21S EgyptEgypt
66.005.56
9Blake Herrera00S United States of AmericaUnited States of America
67.005.34
10Ikemen30 JapanJapan
68.004.71
7Emmanuel David00S PhilippinesPhilippines
69.004.12
27Keedgwh00 IndiaIndia
70.004.01
5Sigmund Dela Cruz05S PhilippinesPhilippines
71.003.85
4Chayapol02S ThailandThailand
72.003.85
4Βαρελάς Γεώρ𝛾ιος00 GreeceGreece
73.003.43
5John Lester Tan00S PhilippinesPhilippines
74.003.25
9Anjelo V. Racho00S PhilippinesPhilippines
75.003.00
5Grant Lewis Bulaong01S PhilippinesPhilippines
76.002.88
3Gerald M. Pascua00 PhilippinesPhilippines
77.002.88
3Barry Villanueva02 PhilippinesPhilippines
78.002.67
5Jake Gacuan09 PhilippinesPhilippines
79.002.56
4Mark Lawrence P Velasco00S PhilippinesPhilippines
80.002.47
6Fred Gutierrez00S PhilippinesPhilippines
81.002.20
4Smahi Abdeslem04S AlgeriaAlgeria
82.002.16
3Andrei Alido00S PhilippinesPhilippines
83.002.00
5Dan Lang00 PhilippinesPhilippines
84.001.92
2Nathanael Joshua Balete00 PhilippinesPhilippines
85.001.92
2Jaydee Lucero02S PhilippinesPhilippines
86.001.92
2Edge Ramos00S PhilippinesPhilippines
87.001.92
2Avishek Yadav10S IndiaIndia
88.001.92
2Afshiram Muhammed00S TurkeyTurkey
89.001.41
5John Marco Latagan00S PhilippinesPhilippines
90.001.28
2Judy Ann Rubante00S PhilippinesPhilippines
91.001.03
4Gerlie Emata Mantua01S PhilippinesPhilippines
92.000.96
2Evan Gruda00S United States of AmericaUnited States of America
93.000.96
1Suleyman Akarsu00 TurkeyTurkey
94.000.96
1Serkan Callioglu00 TurkeyTurkey
95.000.96
1Rosendo Parra Milian01S PeruPeru
96.000.96
1Muhammed Aydogdu00 TurkeyTurkey
97.000.96
1Mohamed Karamany10 EgyptEgypt
98.000.96
1Kwok Ho Yin, Jaffy01S Hong KongHong Kong
99.000.96
1Captain Magneto00S GermanyGermany
100.000.96
1Avrila Frazier01MT United States of AmericaUnited States of America

hide this All problems are solved 2386 times.

Score Table - Countries

Country # of Correct Answers # of Trials Performance
PhilippinesPhilippines1477215968.41%
NigeriaNigeria11100%
CanadaCanada1250%
TurkeyTurkey10314571.03%
IndiaIndia14333143.2%
IranIran2825%
United States of AmericaUnited States of America669768.04%
Hong KongHong Kong536877.94%
GreeceGreece44100%
PolandPoland263086.67%
FranceFrance142070%
EgyptEgypt77100%
GermanyGermany11100%
RomaniaRomania516085%
ItalyItaly173548.57%
ThailandThailand799880.61%
JapanJapan11528939.79%
AlgeriaAlgeria4757.14%
IndonesiaIndonesia131681.25%
PeruPeru11100%
MalaysiaMalaysia10412781.89%
South KoreaSouth Korea637485.14%

Online Problem Solver

Key Facts

  • 1. Key Fact 7446 |Tags: product,rational,number,irrational
  • 2. Key Fact 7695 |Tags: fraction,lowest term,numerator,denominator,relatively prime
  • 3. Key Fact ABAD |Tags: square,even,integer,divisibility
  • 4. Key Fact BAB3 |Tags: square,odd,integer,divisibility
  • 5. Key Fact 988C |Tags: product,perfect square,consecutive numbers
  • 6. Key Fact 9A34 |Tags: divisibility
  • 7. Key Fact B664 |Tags: identity,factorial
  • 8. Key Fact 969B |Tags: identity
  • 9. Key Fact CE81 |Tags: identity
  • 10. Key Fact B945 |Tags: identity
  • 11. Key Fact BCC8 |Tags: factorial,inequality
  • 12. Key Fact 965A |Tags: identity
  • 13. Key Fact E856 |Tags: identity
  • 14. Key Fact 7C45 |Tags: Sophie-Germain,identity
  • 15. Key Fact EA1C |Tags: identity
  • 16. Key Fact 3E17 |Tags: identity,factorization
  • 17. Key Fact 2545 |Tags: identity,factorization
  • 18. Key Fact A376 |Tags: identity
  • 19. Key Fact 3278 |Tags: composite number
  • 20. Key Fact 2DCC |Tags: prime number,definition
  • 21. Key Fact 87D4 |Tags: prime number,composite number,1
  • 22. Key Fact 9E11 |Tags: prime number,composite number,1
  • 23. Key Fact A478 |Tags: prime number,even
  • 24. Key Fact 2AB2 |Tags: prime number
  • 25. Key Fact DAEA |Tags: prime numbers
  • 26. Key Fact 9ECE |Tags: prime factorization
  • 27. Key Fact 525C |Tags: prime number,composite number
  • 28. Key Fact 163E |Tags: Wilson's Theorem
  • 29. Key Fact 5221 |Tags: Bertrand's Postulate,prime number
  • 30. Key Fact 24D6 |Tags: Bonse's Inequality,prime numbers
  • 31. Key Fact C181 |Tags: prime,divisor
  • 32. Key Fact 8A33 |Tags: divisibility,square,odd,integer
  • 33. Key Fact 7B55 |Tags: divisibility
  • 34. Key Fact 8C41 |Tags: divisibility
  • 35. Key Fact 8632 |Tags: product,consecutive,integer,divisibility
  • 36. Key Fact EADA |Tags: divisibility
  • 37. Key Fact A4A7 |Tags: binomial expansion
  • 38. Key Fact 3845 |Tags: binomial expansion,number of terms
  • 39. Key Fact D8CD |Tags: identity
  • 40. Key Fact DEA5 |Tags: identity
  • 41. Key Fact 7B38 |Tags: identity
  • 42. Key Fact 2EBB |Tags: identity
  • 43. Key Fact 89DD |Tags: identity
  • 44. Key Fact ECD9 |Tags: chessboard,square
  • 45. Key Fact A86B |Tags: arithmetic mean,real numbers
  • 46. Key Fact B65C |Tags: geometric mean,real numbers
  • 47. Key Fact D477 |Tags: arithmetic mean,geometric mean,inequality
  • 48. Key Fact DDC5 |Tags: harmonic mean,real numbers
  • 49. Key Fact 29D9 |Tags: arithmetic mean,harmonic mean,inequality
  • 50. Key Fact 5375 |Tags: inequality
  • 51. Key Fact 1E7C |Tags: inequality
  • 52. Key Fact 3981 |Tags: inequality
  • 53. Key Fact 1EB9 |Tags: inequality,identity
  • 54. Key Fact D7B8 |Tags: inequality
  • 55. Key Fact 2483 |Tags: inequality
  • 56. Key Fact 6C13 |Tags: inequality
  • 57. Key Fact 7185 |Tags: inequality
  • 58. Key Fact 8C62 |Tags: inequality
  • 59. Key Fact 913D |Tags: inequality,identity
  • 60. Key Fact ADBA |Tags: Cauchy–Schwarz,inequality
  • 61. Key Fact 2169 |Tags: Chebyshev,inequality
  • 62. Key Fact E1B9 |Tags: line,intersection,parabola,abscissa,vertex,midpoint,line segment
  • 63. Key Fact 72A4 |Tags: De Moivre,formula
  • 64. Key Fact 5DB3 |Tags: fibonacci,numbers
  • 65. Key Fact 47EB |Tags: finite serie,finite sequence
  • 66. Key Fact 13D3 |Tags: infinite serie,infinite sequence
  • 67. Key Fact EAA4 |Tags: partial sum,series
  • 68. Key Fact 3332 |Tags: sequence,partial sum,series,limit
  • 69. Key Fact 2B69 |Tags: sequence,partial sum,series,limit
  • 70. Key Fact C62B |Tags: series,sum
  • 71. Key Fact 1529 |Tags: sum,infinite serie
  • 72. Key Fact E6E7 |Tags: relative error,measurement
  • 73. Key Fact 8B56 |Tags: angle,bisector,triangle
  • 74. Key Fact B4C3 |Tags: sum,exterior angles,convex,polygon
  • 75. Key Fact C4CC |Tags: triangle,circle,greatest area,isosceles triangle
  • 76. Key Fact 8146 |Tags: circle,plane,common tangent
  • 77. Key Fact B13A |Tags: lattice points,gcd,greatest common divisor
  • 78. Key Fact 4BC8 |Tags: right triangle,median
  • 79. Key Fact 2B31 |Tags: minimal polynomial
  • 80. Key Fact C77E |Tags: british flag theorem, rectangle, geometry
  • 81. Key Fact B9E9 |Tags: pythagorean triple, triangle
  • 82. Key Fact 865E |Tags: primitive pythagorean triples, triangle

If you want to be a contractor (problem writer, key fact writer, etc.), please contact AhMath by sending an email to challenging-problems@ahmath.com.

Amirul Faiz Abdul Muthalib

Amirul Faiz Abdul Muthalib

Problem Writer

Number of problems: 10

With over 5 years of hands-on, successful teaching experience, Amirul is an enthusiastic Pre-University Mathematics Lecturer in INTEC Education College, Malaysia. Being a versatile individual who love Maths, he has earned a Master’s Degree in Mechanical Engineering in Japan. He had opportunity to teach Maths in Japanese Syllabus for scholarship sponsored students who will further their study in KOSEN (National College of Technology in Japan). He also train some of his students for the National Olympiad every year.

İhsan Yücel

İhsan Yücel

Problem Writer

Number of problems: 3

I am currently in the thesis phase of my postgraduate education which is about mathematics teaching education. I got some notable national and international achievements in various secondary school mathematics national and international project competitions. Likewise, my students also got many elementary and secondary level mathematical olympics achievements. In the recent past, my students got the first and the second place in the TÜBİTAK National Secondary School Research Projects Contest. One of my students, Read More a team member of the national math team, received a bronze medal in IMO. I'm an author of many scientific articles about mathematics in the quarterly magazine "Mathematical World". I'm the founder of Matematik Meraklısı, which is a website dedicated to Mathematics. Read Less

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I knew AhMath from a facebook group, "Math Enthusiasts Quiz Group", that I just joined a few weeks ago. Then I found that there are the "challenging math problems" here that refresh my Math skill.
I like many ideas on this website, the word "Math Enthusiasts" exactly describes what I'm and it makes me recall the feeling about Math when I was young, it was fun and exciting!
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