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  • ...includes [[arithmetic]], [[algebra]], [[counting]], [[geometry]], [[number theory]], [[probability]], and [[statistics]]. The focus of MATHCOUNTS curriculum ...blems are usually the easiest problems 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 (1,504 words) - 13:10, 1 December 2024
  • ...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
    16 KB (2,192 words) - 22:06, 19 July 2024
  • ...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]
    24 KB (3,198 words) - 19:44, 4 December 2024
  • === Chaos Theory === === Introductory Textbooks ===
    10 KB (1,410 words) - 12:07, 20 February 2024
  • ...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
  • ...ltiple Choice|difficulty=1 - 1.5|breakdown=<u>Problems 1 - 12</u>: 1<br><u>Problems 13 - 25</u>: 1.5}} ...minutes given in the exam. Problems increase in difficulty as the problem number increases.
    4 KB (576 words) - 18:36, 22 September 2024
  • The AMC 10 is a 25 question, 75 minute multiple choice test. Problems generally increase in difficulty as the exam progresses. Calculators were p ...ber theory]], and [[probability]] and other secondary school math topics. Problems are designed to be solved by students without any background in calculus or
    4 KB (586 words) - 16:48, 28 October 2024
  • ...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
    4 KB (529 words) - 08:01, 24 July 2024
  • ...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
    8 KB (1,067 words) - 19:15, 24 October 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) - 12:13, 8 December 2024
  • '''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 (399 words) - 22:08, 8 January 2024
  • ...ers]]. Since modular arithmetic is such a broadly useful tool in [[number theory]], we divide its explanations into several levels: === Introductory Resources ===
    992 bytes (121 words) - 19:38, 19 July 2006
  • ...ponents in [[modular arithmetic]] (which students should study more at the introductory level if they have a hard time following the rest of this article). This th If <math>{a}</math> is an [[integer]], <math>{p}</math> is a [[prime number]] and <math>{a}</math> is not [[divisibility|divisible]] by <math>{p}</math
    16 KB (2,660 words) - 22:42, 28 August 2024
  • ...]]. If <math>n</math> is a positive integer, <math>\phi{(n)}</math> is the number of integers in the range <math>\{1,2,3\cdots{,n}\}</math> which are relativ ==Problems==
    3 KB (542 words) - 16:45, 21 March 2023
  • ...ntity given a name and usually denoted by a letter or symbol. Many contest problems test one's fluency with [[algebraic manipulation]]. ...a in general deals with general classes of structure. Furthermore, number theory interacts more specifically with
    3 KB (369 words) - 20:18, 18 June 2021
  • ...ed equal to <math>\frac{n(n+1)}{2}</math> (the <math>n</math>th triangular number is defined as <math>1+2+\cdots +n</math>; imagine an [[equilateral polygon ...ptible to induction solutions, but that's not to say that there aren't any problems in other areas, such as [[Inequalities]], that can be solved with induction
    5 KB (768 words) - 23:59, 28 September 2024
  • ...impler one. And we can do this reduction again and again until the smaller number becomes <math>0</math>. ===Introductory===
    6 KB (923 words) - 16:39, 30 September 2024
  • ==Introductory Topics== ...n is the set <math>\{x:|x| \geq 3\}</math>, where <math>x</math> is a real number, because the square root is only defined when its argument is nonnegative.
    10 KB (1,761 words) - 02:16, 12 May 2023
  • ...product of powers of [[prime number]]s. An important theorem of [[number theory]] called the [[Fundamental Theorem of Arithmetic]] tells us that every [[po where <math>n</math> is any natural number, the <math>p_{i}</math> are prime numbers, and the <math>e_i</math> are the
    3 KB (496 words) - 21:14, 5 January 2024

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