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  • 9. (7 points) Find the number of positive integer solutions of <math>(x^2+2)(y^2+3)(z^2+4)=60xyz</math>. 10. (7 points) What is the smallest number <math>n</math> such that you can choose <math>n</math> distinct odd integer
    1 KB (252 words) - 22:39, 4 February 2009
  • This page was deemed obsolete. The contents were moved [[Number Theory Problems Collection|here]] {{delete|obsolete}}
    117 bytes (16 words) - 21:19, 19 February 2025
  • ...mber theory and its applications. There are important results and practice problems. Here includes some important results for number theory.
    25 KB (4,013 words) - 20:22, 7 January 2025

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  • ...includes [[arithmetic]], [[algebra]], [[counting]], [[geometry]], [[number theory]], [[probability]], and [[statistics]]. The focus of MATHCOUNTS curriculum ...st 20 problems are usually the easiest in the competition, and the last 10 problems can be as hard as some of the Team Round questions. No calculators are allo
    10 KB (1,503 words) - 22:32, 4 February 2025
  • ...ex.php?f=298 middle school math forums] where students can discuss contest problems and mathematics. ...school. This competition has five rounds, mystery (misc), geometry, number theory, arithmetic, algebra, and team. Each scoring competitor competes in three i
    5 KB (733 words) - 10:59, 8 June 2024
  • * [{{SERVER}}/store/item/intro-number-theory Introduction to Number Theory] ...ers help organize a large and well-organized [{{SERVER}}/resources list of problems and solutions] from [[mathematics competitions]] all over the world. <!--I
    5 KB (624 words) - 14:58, 13 January 2025
  • ...tions]]. Look around the AoPSWiki. Individual articles often have sample problems and solutions for many levels of problem solvers. Many also have links to Introduction To Number Theory: https://thepuzzlr.com/math-courses
    17 KB (2,329 words) - 04:01, 3 February 2025
  • ...combinatorics, and number theory, along with sets of accompanying practice problems at the end of every section. ...88606&sprefix=after+school+maths+%2Caps%2C268&sr=8-2 100 Challenging Maths Problems]
    23 KB (3,038 words) - 18:33, 15 February 2025
  • ...combinatorics, and number theory, along with sets of accompanying practice problems at the end of every section. ...://www.artofproblemsolving.com/Books/AoPS_B_Item.php?page_id=8 AP Calculus Problems and Solutions Part II AB and BC] -- A fantastic resource for students maste
    7 KB (902 words) - 14:34, 13 January 2025
  • === Chaos Theory === ...n.com/Dreams-Final-Theory-Steven-Weinberg/dp/0679419233/ Dreams of a Final Theory] by Weinberg
    10 KB (1,405 words) - 14:37, 13 January 2025
  • ...5,6,7,8,9,0</math>|right|The ten [[digit]]s making up <br> the [[decimal]] number system.}} ...metic]] might be considered part of arithmetic as well as part of [[number theory]].
    6 KB (846 words) - 19:30, 13 February 2025
  • ...guably a branch of [[elementary algebra]], and relate slightly to [[number theory]]. They deal with [[relations]] of [[variable]]s denoted by four signs: <ma For two [[number]]s <math>a</math> and <math>b</math>:
    12 KB (1,806 words) - 05:07, 19 June 2024
  • ...Multiple Choice|difficulty=1 - 2|breakdown=<u>Problems 1 - 12</u>: 1<br><u>Problems 13 - 25</u>: 2}} ...minutes given in the exam. Problems increase in difficulty as the problem number increases. Students are not permitted calculators during the test.
    4 KB (584 words) - 18:59, 19 February 2025
  • The AMC 10 is a 25-question, 75-minute multiple-choice test. Problems generally increase in difficulty as the exam progresses. Calculators were p ...theory]], [[probability]], and other secondary school mathematical topics. Problems are designed to be solved by students without any background in calculus or
    4 KB (596 words) - 03:53, 3 February 2025
  • ...use during the test; however, calculators were never required to solve any problems, and students who did not use calculators were not disadvantaged. ...5 points, to give a total score out of 150 points. From 2002 to 2006, the number of points for an unanswered question was 2.5 points and before 2002 it was
    5 KB (646 words) - 03:52, 3 February 2025
  • ...correct answers receive one point of credit, making the maximum score 15. Problems generally increase in difficulty as the exam progresses - the first few que ...ber theory]], and [[probability]] and other secondary school math topics. Problems usually require either very creative use of secondary school curriculum, or
    5 KB (669 words) - 03:52, 3 February 2025
  • ...branch of mathematics but just a bunch of short cuts. The AMCs use number theory in much deeper (although elementary, without analysis) ways. Tests vary wid * [[AMC Problems and Solutions]]
    5 KB (696 words) - 02:47, 24 December 2019
  • ...]] exams. The competition takes place over 2 consecutive days. Each day, 3 problems are given to the students to work for 4.5 hours. Responses are assessed bas ...the USAMO have considerable experience in both solving highly challenging problems and [[writing proofs]]. Following the general format of high school competi
    6 KB (836 words) - 03:57, 3 February 2025
  • ...and has harder problems, while Division B is for newcomers and has easier problems. The test structure is the same for both divisions. ...ach division participate in the Finals round, and they have to solve three problems in 1 hour.
    2 KB (295 words) - 22:19, 5 January 2019
  • == Example Problems == 2001- Number theory Topic Test- Theta
    4 KB (632 words) - 17:21, 21 December 2024
  • In [[number theory]], '''Wilson's Theorem''' states that if [[integer ]]<math>p > 1</math> , t ...<math>b-c</math>&mdash;a contradiction.) This inverse is unique, and each number is the inverse of its inverse. If one integer <math>a</math> is its own in
    4 KB (639 words) - 00:53, 2 February 2023
  • ...re than algebra problems, sometimes going into other topics such as number theory. == Fun Practice Problems ==
    4 KB (682 words) - 09:25, 18 February 2025
  • '''Number theory''' is the field of [[mathematics]] associated with studying the properties Number theory is a broad topic, and may cover many diverse subtopics, such as:
    3 KB (404 words) - 19:56, 28 December 2024

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