 Examination Papers  University of Cambridge
Download PDF and PostScript files of Cambridge's mathematical tripos examination papers from the past decade. See also the exam papers from Natural Sciences Tripos (NST) and Part III (postgraduate).
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 Examinations Home Page  Department of Education and Science, Government of Ireland
Leaving Certificate Examination Papers, Junior Certificate Examination Papers, marking schemes, annual results and statistics, brochure, timetables, Chief Examiner's Reports, and other material documenting Ireland's "leaving certs." Mathematics (Matamaitic)
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 Example Problems.com  Todd Smith
This site is an opencommunity collection of math problems and full solutions for every area of math from Algebra through graduate level partial differential equations, optics, and special functions. The code used on the site's wiki is the same as TeX.
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 ExamSolutions
ExamSolutions.co.uk is designed to help revision for maths A level. It contains questions, answers and worked solutions to past exam papers from Edexcel, OCR and AQA exam boards, all in PDF format. Some are free.
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 Excel Traffic Problem (MSTE)  Kocinski, Clark; University of Illinois at UrbanaChampaign (UIUC)
Problem (by HansGeorg Weigand): there is a traffic jam on the highway when cars pass a building site. A model of this situation shows that cars drive with the same speed v and all have the same length l. For the distance d between two cars there are
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 Exercices de Géometrie en Troisième  T. Touré
Révisions de vacances: de nombreux exercices de géométrie. Thalès/Droite des milieux; Pythagore; Sinus, cosinus, et tangente; Cercle et triangle rectangle; Droites remarquables; Distance et aire; Volume; Symétrie, rotation
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 Exercises in Math Readiness for University (EMR)  Dept. of Mathematics and Statistics, University of Saskatchewan
A collection of exercises with solutions/tutorials for high school mathematics topics important for university study in mathematics, sciences, engineering and commerce. Exercises at three degrees of difficulty, covering graphing, solving inequalities,
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 Exit 10A  Joe Schwartz
"Trying to make math meaningful in an elementary school somewhere off the New Jersey Turnpike." Posts, enlivened by classroom photos, date back to December, 2013: "A Mathematician's Lament," "Building Number Sense," "Fun and Games in Fifth Grade," and
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 Exploring Geometric Solids and Their Properties (iMath Investigations)  Illuminations; National Council of Teachers of Mathematics (NCTM)
An online, interactive, multimedia math investigation. Investigating and then reasoning about the relationships within and between threedimensional shapes is important for students in grades 35 as they continue to develop understanding about geometry
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 The Exponential Curve  Dan Greene
A blog by a math teacher at Downtown College Prep charter high school (San Jose, California), where the students "... are primarily Latino, are far below grade level in their math and reading skills, and will be the first in their families to go to college.
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 Eye Opener Series  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A collection of Java applets that illustrate and thus help to solve or prove various math problems: Euclid's Proof of the Pythagorean Theorem; Construction problem; Disappearing Lines puzzle; Sam Loyd's fifteen; Sliders puzzle; Lucky 7 puzzle; Happy 8
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 The Factor Game (iMath Investigations)  Illuminations; National Council of Teachers of Mathematics (NCTM)
An online, interactive, multimedia math investigation. The Factor Game engages students in a friendly contest in which winning strategies involve distinguishing between numbers with many factors and numbers with few factors. Students are then guided through
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 Family or Child First?  Math Forum, a Classic Problem from the Ask Dr. Math FAQ
In a twochild family, one child is a boy. What is the probability that the other child is a girl? Discusses the difference between choosing the child first and choosing the family first, and why they're mathematically different.
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 The Family Photo and Counting on One Hand (Math Chat)  Frank Morgan; Christian Science Monitor
From Norman Goodwin: A photographer wants to line up the 11 members of the Goodwin family from shortest to tallest (left to right), starting with anyone, adding someone else on either side, and continuing by always adding someone next to those already
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 Famous Paradoxes  Isaac Reed
Zeno's Paradox and Cantor's Infinities.
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 Famous Problems in the History of Mathematics  Isaac Reed
History of mathematics presented through some famous problems, with exercises and solutions. The problems include The Bridges of Königsburg; The Value of Pi; Puzzling Primes; Famous Paradoxes; The Problem of Points; A Proof of the Pythagorean Theorem;
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 Fast Arithmetic Tips  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Specific tips for three broad categories of rapid math: offensive (for the purpose of getting a result fast), defensive (for the purpose of discounting a result fast), or entertaining (for stunning your friends with math magic!). The entertaining category
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 Fermi Questions  Sheila Talamo
Fermi questions emphasize estimation, numerical reasoning, communicating in mathematics, and questioning skills. Students often believe that "word problems" have one exact answer and that the answer is derived in a unique manner. Fermi questions encourage
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 Fibonacci Numbers and Nature  Ron Knott
Fibonacci and his original problem about rabbits that gave the series its name; the family trees of bees; the golden ratio and the Fibonacci series; the Fibonacci Spiral and sea shell shapes; branching plants; flower petal and seedheads; and the leaf
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 The Fibonacci Numbers, Pineapples, Sunflowers, and the Golden Mean  Don Cohen (The Mathman)
Mathematics from a Pineapple: Infinite sequences, limit of a sequence, ratios, fractions, and decimals. Also Looking at a Regular Pentagon. Sample problems with some answers from Chapter 7 of Don Cohen's worksheet book.
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 The Fibonacci Series  Matt Anderson, Jeffrey Frazier, and Kris Popendorf; ThinkQuest 1999
The Fibonacci Series is deceptively simple, but its ramifications and applications are many. Learn more about the Fibonacci Series itself: an introduction, the rabbit problem, Binet's formula, the successor formula (given only one term in the Fibonacci
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 Fido Dido Puzzle  Digital Creative Communications
"Want to let me read your mind?" A Flash game in which Fido Dido asks you for clues as he figures out the random number you have chosen.
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 Figure This! Math Challenges for Families  National Council of Teachers of Mathematics (NCTM)
Elementarylevel problems with hints, information about when and why answers matter in the real world, suggestions for getting started, and answers with explanations. A Challenge Index lists problems by topic. Examples include: Line Up! (How long do you
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 FillItIn Outline Mathematics  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A collection of outline solutions to various problems: word and logic problems, problems from arithmetic, number theory and geometry. Solutions are practically complete with a few essential pieces omitted and to be filled in by the student.
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 Financial Literacy Math Quizzes  HowToSaveMoney.me
Quizzes for practicing addition and subtraction of dollar and coin amounts, presented with pictures of US currency or as numerical expressions. "Grade My Quiz" or generate new problems with the click of a button. The site also offers finance calculators,
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 Finding the Value of Pi  Isaac Reed
Throughout the history of civilization various mathematicians have been concerned with discovering the value of and different expressions for the ratio of the circumference of a circle to its diameter.
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 Finding Ways to Nguyen Students Over  Fawn Nguyen
Nguyen blogs mostly about her teaching middle school math. Posts, which date back to November, 2011, have included "Teaching 101  How I Got Like This," "Puzzles and Brainteasers, Set 11," "Pi Day Activities," "Always Sometimes Never," "Using Excel for
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 First Grade (AAA Math)  John Banfill
Interactive math exercises, lessons, and games covering basic arithmetic concepts and methods, for first grade.
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 Fisica Legal (Cool Physics)  Professor Ricardo
Download several educational programs for teaching and learning Physics, Math, Chemistry and Astronomy. Presently this page is in Portuguese although most of programs are in English. All of the software is freeware. Also features tutoring, chats, discussion
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 Five Twelve Thirteen  Dylan Kane
Blog by an eighth grade math teacher in Boston. Posts, which date back to October, 2012, have included "Assessment & Rigor," "Pythagorean Triples Function," "Construct Viable Arguments and Critique the Reasoning of Others," "Guatemalan Sinkhole," "Problem
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 Flashcards (A+ Math)
Java and nonJava homeworkhelper flashcards for practicing: Java (with answers and with or without sound): addition, subtraction, multiplication, division, square roots, and rounding; nonJava: addition, subtraction, multiplication, division, order of
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 Flashcards for Kids  Education 4 Kids, Inc.
This customizable online application creates flashcards for drilling in addition, subtraction, multiplication, division, and addition and subtraction together, in simple or complex forms (only two numbers, or up to ten numbers), with choice of numbers
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 Flexagon Re'flex'ions
Several possibly new trihexaflexagon phenomena are presented, with a wide spectrum of findings including explorations with magic squares, palindromes, and much more.
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 Flooble :: Perplexus  Lev Epshteyn
A searchable, categorized collection of all sorts of puzzles, from simple logic questions and word tricks to indepth math problems in probability and geometry. Users can talk to one another and collaborate on solutions, as well as post their own problems
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 Flying Between Two Trains  Math Forum, Ask Dr. Math FAQ
Two trains 150 miles apart travel toward each other along the same track, the first train at 60 mph, the second at 90 mph. A fly buzzes back and forth between the two trains until they collide. If the fly's speed is 120mph, how far will it travel?
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 Forest Path  Maths  Vern Beaumont
Timed JavaScript practice activities in the four operations plus a number sequencing activity.
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 A Formula for C(n,k)  Jay's Corner
We would like to obtain a formula to calculate C(n,k) without writing down Pascal's triangle (although, to be honest, it is generally faster to write down Pascal's triangle than it is to use this formula, especially if you need a number of these binomial
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 Four 4's Puzzle  Ruth Carver, Math Forum
For students in grades 312 with a general knowledge of mathematics. Using four 4's and any operations, try to write equations that have the numbers from 0 to 100 as the answer. The answer for each number and the name of the first person to get it are
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 Four Construction Problems  Cut the Knot!, Alexander Bogomolny
Construct a triangle, given the three points in the plane that are the outer vertices of equilateral triangles constructed outward on the sides of the desired triangle. Construct a triangle, given the three points in the plane that are the centers of
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 Four Numerical Triangles in Nexus  Len Smiley
Three wellknown combinatorial number triangles are tightly related to each other as coefficients in transforms of a seminal sequence of exponential generating functions (for n^{n+m}). A fourth triangle is a part of the picture in much the same way that
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 Four Travelers Problem  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Four roads on a plane, each a straight line, are oriented so that no two are parallel and no three pass through the same point. A traveler walks along each road at a constant speed. The speeds, however, may not be the same. Traveler 1 meets Travelers
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 The Four Types of Symmetry in the Plane  Susan Addington
Rotation, translation, reflection, and glide reflection, with illustrations and problems for consideration. Written by Dr. Susan Addington for the California Math Show; presented on the Web by Suzanne Alejandre as part of her Tessellation Tutorials.
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 FoV
Puzzles and pointers on math and programming from a future secondary school math teacher in England. Blog posts, which date to March, 2010, have included "Make 42," "Find a, b and c," "Programming Mahjong Scoring," "Broken Geometry," and "Using Mersenne
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 FractImage  David Rose
Preview jigsaw puzzle images that exhibit selfsimilarity, and purchase the puzzles online. Visit the fractal gallery; read about fractals and FractImage; and download fractal wallpaper for your desktop.
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 Fractions and Corresponding Percents  NASA Lewis Learning Technologies Project
Which statement is correct? 27 percent < 1/4; 12 percent = 1/8; 3 3/5 = 335 percent; 2/3 > 66 percent. A detailed answer is provided. From NASA's 9th Grade Math Proficiency Test.
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 Fractions and Decimals (Highline Advanced Math Program)  Don and Jerre McQuinn; Highline Council PTSA, Seattle, WA
Introductions to fractions and decimals, for grades 56. Addition, subtraction, division, factoring; mixed numbers.
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 Fractions and Infinite Series  Don Cohen (The Mathman)
Young children (ages 67) learn to add fractions through graphing and partial sums, and about infinite series. A sample problem with answers from Chapter 1 of Don Cohen's worksheet book.
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 Fractions: Parts is Parts  Energy Conservation Enhancement Project
Incandescent & fluorescent lighting. Math objectives: 1. Describe the two parts that make up a fraction. 2. Explain mixed numbers and improper fractions. 3. Find the least common denominator. 4. Reduce fractions to lowest terms. Energy objectives:
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 Fractions (S.O.S. Mathematics)  Dept. of Mathematical Sciences, Univ. of Texas at El Paso
A math review for people who have forgotten what they once knew about fractions. Simple fractions (Identification; Factoring Integers; Reducing Fractions; Multiplication; Division; Building Fractions; Addition; Subtraction; Order of Operations). Complex
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 Fractions Worksheets
Worksheets and lessons on fractions: equivalent fractions, comparing fractions, adding fractions, subtracting fractions, reducing fractions, multiplying fractions, and dividing fractions. See also the blog at http://fractionsworksheets.com/.
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