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- ...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 i5 KB (733 words) - 10:59, 8 June 2024
- ...ofproblemsolving.com/store/item/intro-number-theory Introduction to Number Theory] * [https://artofproblemsolving.com/store/item/intermediate-algebra Intermediate Algebra]5 KB (658 words) - 09:03, 3 November 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-courses16 KB (2,192 words) - 22:06, 19 July 2024
- * Intermediate is recommended for students who can expect to pass the AMC 10/12. ...combinatorics, and number theory, along with sets of accompanying practice problems at the end of every section.24 KB (3,182 words) - 10:10, 31 August 2024
- * Intermediate is recommended for students grades 9 to 12. ...combinatorics, and number theory, along with sets of accompanying practice problems at the end of every section.7 KB (901 words) - 13:11, 6 January 2022
- === Chaos Theory === ...n.com/Dreams-Final-Theory-Steven-Weinberg/dp/0679419233/ Dreams of a Final Theory] by Weinberg10 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
- ...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 was4 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, or8 KB (1,067 words) - 19:15, 24 October 2024
- ...re than algebra problems, sometimes going into other topics such as number theory. == Fun Practice Problems ==4 KB (679 words) - 20:05, 16 October 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: * [[Intermediate modular arithmetic]]992 bytes (121 words) - 19:38, 19 July 2006
- '''Fermat's Little Theorem''' is highly useful in [[number theory]] for simplifying the computation of exponents in [[modular arithmetic]] (w 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}</math16 KB (2,660 words) - 22:42, 28 August 2024
- ...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 with3 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 induction5 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>. ===Intermediate===6 KB (923 words) - 16:39, 30 September 2024
- Consider the task of counting the number of integers between 14 and 103 inclusive. We could simply list those [[int ...h <math>n</math> and end with <math>m</math> (i.e. m and n inclusive), the number of integers in the list is2 KB (289 words) - 16:17, 13 February 2009
- ...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. ==Intermediate Topics==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 the3 KB (496 words) - 21:14, 5 January 2024
- ...system. To help explain what this means, consider the number 2746. This number can be rewritten as <math>2746_{10}=2\cdot10^3+7\cdot10^2+4\cdot10^1+6\cdot Note that each number in 2746 is actually just a placeholder which shows how many of a certain po4 KB (547 words) - 16:23, 30 December 2020