AhMath Real than i, rational than π

Arf League

There are 96 problems and 78 key facts, waiting for math enthusiasts! All problems are solved 1835 times.
Last solved problem: E328 (by Gerlie Emata Mantua). Number of page views: 47077.

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Arf League is looking for new problem and/or key fact writers. If you are interested in writing challenging math problems and/or key facts,
please contact us. We'll be glad to meet with new contractors.

A new problem will be published as soon as the latest problem gets at least 10 solvers. 3 more solvers are needed to release the new problem.

☆★☆★☆★  Newest Problem!  ★☆★☆★☆

96. Problem: 7DC6 , proposed by Ahmet Arduc
96 is the smallest number that can be written as the difference of 2 squares in 4 ways.
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Previous Problems

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: 2748
Number of Correct R.: 1828
Difficulty Level: 66.52
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
 
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This is the second version, starting with the 13th problem. In this version, you'll see a full-functional 'Send Your Answer' section. Please feel free to send your solution(s) by using the textarea given in this section. We'll not publish any of the solutions here on this page.
In the 'Score Tables' section, we use different algorithms and/or parameters for different tables. In time, we may change the algorithm and/or parameters of any table. Therefore, your ranking and score may change even if you do not do any further activity.
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Score Table - Math Enthusiasts

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.

Order Score # of Correct Answers Names Badges Country
FSSFSP
1.071.81
77Amirul Faiz Abdul Muthalib110 MalaysiaMalaysia
2.071.68
92Caed Mark Medul Mendoza5109 PhilippinesPhilippines
3.069.79
67Lilanie Monique Torilla055 PhilippinesPhilippines
4.066.08
73Jeffrey Robles154 PhilippinesPhilippines
5.061.13
65Isaiah James de Dios Maling427 PhilippinesPhilippines
6.058.35
57Sumet Ketsri558 ThailandThailand
7.056.40
62Kurara Chibana40 JapanJapan
8.056.25
54Willie Revillame Wowowin00 PhilippinesPhilippines
9.055.87
63Russel J. Galanido130 South KoreaSouth Korea
10.046.14
61Mertkan Simsek80 TurkeyTurkey
11.045.69
50Marvin Cato130 PhilippinesPhilippines
12.039.34
48Nixon Balandra346 PhilippinesPhilippines
13.038.94
54Randy Orton60 United States of AmericaUnited States of America
14.038.66
60Rindell Mabunga131 PhilippinesPhilippines
15.035.02
41Jacob Sabido05 PhilippinesPhilippines
16.033.06
44Richard Phillip Dimaala Fernandez445 PhilippinesPhilippines
17.030.21
29Arjun Singh Rajawat04 IndiaIndia
18.028.71
41Joselito Torculas426 PhilippinesPhilippines
19.027.55
36Lim Jing Ren00 MalaysiaMalaysia
20.027.08
26Alea Astrea00 PhilippinesPhilippines
21.025.04
25Radu Bogo025 RomaniaRomania
22.019.79
19Lenard Guillermo02 PhilippinesPhilippines
23.018.94
20Gluttony00 PhilippinesPhilippines
24.018.73
40Roenz Joshlee Timbol01 PhilippinesPhilippines
25.017.17
26Norwyn Nicholson Kah038 PhilippinesPhilippines
26.017.13
25Jhepoy Dizon00 PhilippinesPhilippines
27.016.35
19Mark Alvero00 PhilippinesPhilippines
28.016.16
32Daniel James Molina01 PhilippinesPhilippines
29.015.43
20Ralph Macarasig00 PhilippinesPhilippines
30.014.67
26Joem Canciller10 PhilippinesPhilippines
31.014.58
14John Albert A. Reyes06 PhilippinesPhilippines
32.013.68
17Nheil Ignacio08 PhilippinesPhilippines
33.013.12
23Kumar Ayush01 IndiaIndia
34.012.54
17Ibrahim Demir01 TurkeyTurkey
35.012.00
22Christian Paul Patawaran01 PhilippinesPhilippines
36.011.72
15Srinivas Kanigiri00 IndiaIndia
37.011.46
11Melga Sonio00 PhilippinesPhilippines
38.011.00
13Poetri Sonya Tarabunga00 IndonesiaIndonesia
39.010.71
12Andrew Chiu00 PhilippinesPhilippines
40.010.42
10Monu Baba Rura Sirsa Up00 IndiaIndia
41.010.21
14Ewen Goisot017 FranceFrance
42.009.73
43Kimi No Nawa7166 JapanJapan
43.009.38
18James Ericson10 ThailandThailand
44.009.28
14Angelu G. Leynes10 PhilippinesPhilippines
45.009.00
11Mark Elis Espiridion00 PhilippinesPhilippines
46.008.87
20Christian Daang125 PhilippinesPhilippines
47.008.60
17Stefano Ongari00 ItalyItaly
48.008.33
8Joseph Rodelas10 PhilippinesPhilippines
49.008.00
13Chris Norman Algo010 PhilippinesPhilippines
50.007.50
12Reymark Togno00 PhilippinesPhilippines
51.007.50
12Dreimuru Tempest20 PhilippinesPhilippines
52.007.29
7Adrian Pilotos Burgos00 PhilippinesPhilippines
53.006.25
6Yavuz Selim Koseoglu20 TurkeyTurkey
54.006.25
6Mahmut Cemrek00 TurkeyTurkey
55.006.25
6John Gamal Aziz Attia21 EgyptEgypt
56.005.79
10Ikemen30 JapanJapan
57.005.10
7Emmanuel David00 PhilippinesPhilippines
58.004.34
5Sigmund Dela Cruz05 PhilippinesPhilippines
59.004.17
4Chayapol02 ThailandThailand
60.004.17
4Βαρελάς Γεώρ𝛾ιος00 GreeceGreece
61.003.72
5John Lester Tan00 PhilippinesPhilippines
62.003.50
22Keedgwh00 IndiaIndia
63.003.26
5Hanelet Santos00 PhilippinesPhilippines
64.003.26
5Grant Lewis Bulaong01 PhilippinesPhilippines
65.003.13
3Gerald M. Pascua00 PhilippinesPhilippines
66.003.13
3Barry Villanueva02 PhilippinesPhilippines
67.002.89
5Jake Gacuan09 PhilippinesPhilippines
68.002.78
4Mark Lawrence P Velasco00 PhilippinesPhilippines
69.002.68
6Fred Gutierrez00 PhilippinesPhilippines
70.002.38
4Smahi Abdeslem04 AlgeriaAlgeria
71.002.17
5Dan Lang00 PhilippinesPhilippines
72.002.08
2Melek Cimen10 TurkeyTurkey
73.002.08
2Edge Ramos00 PhilippinesPhilippines
74.002.08
2Afshiram Muhammed00 TurkeyTurkey
75.001.53
5John Marco Latagan00 PhilippinesPhilippines
76.001.39
2Judy Ann Rubante00 PhilippinesPhilippines
77.001.11
4Gerlie Emata Mantua01 PhilippinesPhilippines
78.001.04
2Evan Gruda00 United States of AmericaUnited States of America
79.001.04
1Suleyman Akarsu00 TurkeyTurkey
80.001.04
1Serkan Callioglu00 TurkeyTurkey
81.001.04
1Rosendo Parra Milian01 PeruPeru
82.001.04
1Rdvnaksu11 TurkeyTurkey
83.001.04
1Muhammed Aydogdu00 TurkeyTurkey
84.001.04
1Mohamed Karamany10 EgyptEgypt
85.001.04
1Captain Magneto00 GermanyGermany
86.001.04
1Avrila Frazier01 United States of AmericaUnited States of America
87.001.04
1Abhishek Singh00 IndiaIndia
88.000.83
2Serdal Aslantas01 RomaniaRomania
89.000.69
2John Rocel Perez00 PhilippinesPhilippines
90.000.35
1Ryan Quimo00 PhilippinesPhilippines
91.000.35
1Mark Allen Facun00 PhilippinesPhilippines
92.000.35
1John Patrick03 PhilippinesPhilippines
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    ✔   Singapore Mathematical Olympiads-2005
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    ✔   Solving Equations in Integers by A. O. Gelfond (1981)
    ✔   Solving Mathematical Problems - A Personal Perspective by Terence Tao (2006)
    ✔   Street-Fighting Mathematics - The Art of Educated Guessing and Opportunistic Problem Solving by Sanjoy Mahajan (2010)
    ✔   Techniques of Problem Solving by Luis Fernandez, Steven G. Krantz (1997) (Solutions Manual)
    ✔   Techniques of Problem Solving by Steven G. Krantz (1997)
    ✔   The Art and Craft of Problem Solving, 2nd Ed. by Paul Zeitz (2007) instructor's manual.
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    ✔   The Art of Mathematics - Coffee Time in Memphis by Béla Bollob?s (2006)
    ✔   The Art of Problem Posing, 3rd Ed. by Stephen I. Brown, Marion I. Walter (2005)
    ✔   The Art of Problem Solving - A Resource for the Mathematics Teacher by Alfred S. Posamentier, Wolfgang Schulz (1996)
    ✔   The Art of Problem Solving, Vol. 1 - The Basics by Sandor Lehoczky, Richard Rusczyk (2006)
    ✔   The Best Problems From Around the World by Cao Minh Quang (2006)
    ✔   The Canadian Mathematical Olympiad [1969-1993] by Michael Doob (1993)
    ✔   The Cauchy-Schwarz Master Class - An Introduction to the Art of Mathematical Inequalities (2004)
    ✔   The Colorado Mathematical Olympiad and Further Explorations From the Mountains of Colorado to the Peaks of Mathematics (2011)
    ✔   The Colossal Book of Mathematics - Classic Puzzles, Paradoxes, and Problems by Martin Gardner (2001)
    ✔   The Geometry of Numbers by C. D. Olds, Anneli Lax (2000)
    ✔   The Green Book of Mathematical Problems by Kenneth Hardy, Kenneth S. Williams (1985)
    ✔   The Higher Arithmetic - An Introduction to the Theory of Numbers, 8th Ed. by H. Davenport (2008)
    ✔   The IMO Compendium - A Collection of Problems Suggested for the International Mathematical Olympiads [1959-2009] 2nd Ed. (2011)
    ✔   The Last Recreations - Hydras, Eggs, and Other Mathematical Mystifications by Martin Gardner (1997)
    ✔   The Magic Numbers of Dr. Matrix by Martin Gardner (1985)
    ✔   The Math Problems Notebook by Valentin Boju, Louis Funar (2007)
    ✔   The Mathemagician and Pied Puzzler - A Collection in Tribute to Martin Gardner by Elwyn R. Berlekamp, Tom Rodgers (1999)
    ✔   The Mathematical Recreations of Lewis Carroll - Pillow Problems and a Tangled Tale (1958)
    ✔   The Mathematics of Ciphers - Number Theory and RSA Cryptography by S.C. Coutinho (1999)
    ✔   The Mathscope - All the Best From Vietnamese Problem Solving Journals (2007)
    ✔   The Method of Mathematical Induction by I. S. Sominskii (1961)
    ✔   The Moscow Puzzles - 359 Mathematical Recreations by Boris A. Kordemsky (1972)
    ✔   The New Mathlete Problem Book with Sample Solutions and Appendices (1977)
    ✔   The New York City Contest Problem Book - Problems and Solutions from the New York City Interscholastic Mathematics..(1986)
    ✔   The Penguin Book of Curious and Interesting Geometry by David Wells (1991)
    ✔   The Penguin Book of Curious and Interesting Numbers by David Wells (1986)
    ✔   The Penguin Book of Curious and Interesting Puzzles by David Wells (1992)
    ✔   The Pleasures of Pi,e and Other Interesting Numbers by Y. E. O. Adrian (2006)
    ✔   The Quest for Functions - Functional Equations for the Beginners by Paul Vaderlind (2005)
    ✔   The Red Book of Mathematical Problems by Kenneth S. Williams, Kenneth Hardy (1988)
    ✔   The Square Root of 2 - A Dialogue Concerning a Number and a Sequence by David Flannery (2006)
    ✔   The Stanford Mathematics Problem Book - With Hints and Solutions by George Polya, Jeremy Kilpatrick (1974)
    ✔   The Theory of Numbers - A Text and Source Book of Problems by Andrew Adler, John E. Cloury (1995)
    ✔   The Unexpected Hanging and Other Mathematical Diversions by Martin Gardner (1991)
    ✔   The Universe in a Handkerchief - Lewis Carroll’s Mathematical Recreations, Games, Puzzles, and Word Plays (1996)
    ✔   The USSR Olympiad Problem Book - Selected Problems and Theorems of Elementary Mathematics (1993)
    ✔   The William Lowell Putnam Mathematical Competition - Problems and Solutions [1938-1964] (1980)
    ✔   The William Lowell Putnam Mathematical Competition - Problems and Solutions [1965–1984] (1985)
    ✔   The William Lowell Putnam Mathematical Competition - Problems, Solutions, and Commentary [1985-2000] (2002)
    ✔   The William Lowell Putnam Mathematical Competition - Problems, Solutions, and Commentary [2001-2008] (2008)
    ✔   The Wohascum County Problem Book by George T. Gilbert (1993)
    ✔   The Wonders of Magic Squares by Jim Moran (1982)
    ✔   Time Travel and Other Mathematical Bewilderments by Gardner Martin (1988)
    ✔   Topics in Algebra and Analysis - Preparing for the Mathematical Olympiad by Radmila Bulajich Manfrino (2015)
    ✔   Trigonometric Delights by Eli Maor (1998)
    ✔   USA and International Mathematical Olympiads [2004] by Titu Andreescu, Zuming Feng (2005)
    ✔   USA and International Mathematical Olympiads [2006-2007] by Zuming Feng, Yufei Zhao
    ✔   USA Mathematical Olympiads [1972-1986] Compiled and with Solutions by Murray S. Klamkin (1988)
    ✔   Variance on Topics of Plane Geometry by Florentin Smarandache (2013)
    ✔   What Is the Name of This Book - The Riddle of Dracula and Other Logical Puzzles by Raymond M. Smullyan (1978)
    ✔   What to Solve - Problems and Suggestions for Young Mathematicians by Judita Cofman (1990)
    ✔   Wheels, Life and Other Mathematical Amusements by Martin Gardner (1983)
    ✔   When Less is More - Visualizing Basic Inequalities by Claudi Alsina, Roger Nelsen (2009)
    ✔   Which Way Did the Bicycle Go by Konhauser, Velleman, Wagon (1996)
    ✔   Winning Solutions by Edward Lozansky, Cecil Rousseau (1996)
  • Key Fact 7446
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    Key Fact 7695
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    Key Fact ABAD
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    Key Fact BAB3
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    Key Fact 988C
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    Key Fact 9A34
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    Key Fact B664
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    Key Fact 969B
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    Key Fact CE81
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    Key Fact B945
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    Key Fact BCC8
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    Key Fact 965A
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    Key Fact E856
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    Key Fact EA1C
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    Key Fact 3E17
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    Key Fact EADA
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    Key Fact D8CD
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    Key Fact 7B38
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    Key Fact 2EBB
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    Key Fact 89DD
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    Key Fact ECD9
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    Key Fact A86B
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    Key Fact B65C
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    Key Fact D477
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    Key Fact DDC5
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    Key Fact 29D9
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    Key Fact 5375
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    Key Fact 1E7C
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    Key Fact D7B8
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    Key Fact 2483
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    Key Fact 6C13
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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

Please feel free to send your general comments to challenging-problems@ahmath.com.


It's a good way to practice maths and also the site encourages you to submit your answer with an accompanying solution. Participants can not just simply guess the answer or predict what will be the answer based on the given, they need to know and understand the topic. Also this refrains participants to just simply ask the answer from other people. So the method was excellent and people will definitely learn many things about math.

- Rindell Mabunga / Philippines

I want to say my deepest gratitude in creating this website. The questions are not the typical type and not normally taught to non-mathematical major degrees. I really hope that you'll continue your mission and vision in creating this site, as this serves as a platform to enhance our mathematical skills. Hoping for the best good luck!!!

- Russel J. Galanido / South Korea

I see AhMath as the one encouraging self-paced learning or practice in solving math problems. It does not put me into any kind of pressure like requiring myself to be the first one to solve the problems correctly and giving answers with a limited time. Also, it gives me excitement for the next problems to solve as well as for the appearance of my name on the list of the people who submitted the correct solutions and answers for those math problems. Overall, it gives me confidence to be better in math.
Thank you for everything, AhMath.

- Marvin Cato / Philippines

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!
I like the motto "Real than i, rational than n", it's playing in my head and I'm still doubt about its meaning :-D
There is no time constraint for solving the problems so we can think about the solutions in the different ways. Sometimes the new solutions reveal the beauty of Math and that only happens when we have time to think about other solutions.
Thank you the creator and moderator of this website, especially Ahmet Arduc, who brings me back to the feeling of fun and exciting with his creative problems.

- Sumet Ketsri / Thailand

Ahmath is basically a great site. The problems are really challenging and mind boggling. I really like the way that the Math enthusiasts should show the solution as well for each problem. You need to learn on your own. This site greatly help me improve my Math skills and writing solutions as well. Thank you much Ahmath for an amazing job. More power and God bless. "Train HARD, win EASY. Train Easy, win HARD". Hoping you all the best out there. Just continue on your aim to help the students as well as the non-students to further enhance their math skills. God bless and More power AHMATH FTW!!!

- Isaiah James de Dios Maling / Philippines

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