Competition Mathematics Series

Competition Math for Grades 6–8

Topics and Problem-Solving Strategies for Math Contests

MATHCOUNTS ReadyAMC 8Problem-Solving StrategiesWorked Solutions

Grades 6–8 ·Competition Ready · Print-Ready PDF

$30.00

About This Book

A complete middle school contest course aimed at MATHCOUNTS and AMC 8. Part I covers the topics these contests test; Part II covers the strategies — working backwards, symmetry, invariants, extreme cases — that separate a solver from a calculator. Every problem has an answer, and a worked solution for the method it uses.

Table of Contents

1 Clever Computation and Order of Operations

2 Fractions

3 Decimals, Repeating Decimals and Rounding

4 Exponents, Powers and Scientific Notation

5 Square Roots and Radicals

6 Made-Up Operations and Symbols

7 Ratios, Proportions and Unit Rates

8 Percent of a Number

9 Percent Change, Discounts and Markups

10 Simple and Compound Interest

11 Distance, Rate and Time

12 Working Together: Work Rates

13 Mixtures and Money

14 Writing and Simplifying Expressions

15 Linear Equations

16 Inequalities and Absolute Value

17 Systems of Equations

18 Functions and Function Notation

19 Sequences and Their Sums

20 Quadratic and Exponential Equations

21 Primes and Prime Factorization

22 Counting Divisors and Factorial Zeros

23 GCD and LCM

24 Divisibility Rules

25 Remainders and Clock Arithmetic

26 Digit Problems and Cryptarithms

27 Number Bases

28 Whole-Number Solutions

29 Angles, Triangles and Polygons

30 Congruent Triangles

31 Similar Triangles

32 Medians, Altitudes and Angle Bisectors

33 The Pythagorean Theorem

34 Perimeter and Area

35 Composite and Shaded Regions

36 Area Ratios

37 Parallelograms and Trapezoids

38 Circles: Arcs and Angles

39 Circles: Chords, Tangents and Secants

40 Drawing the Helpful Line

41 Shortest Paths and Best Shapes

42 Volume and Surface Area

43 The Coordinate Plane

44 Averages

45 The Counting Principle

46 Permutations and Combinations

47 Counting with Restrictions

48 Counting Shapes and Paths

49 Probability

50 Sets and Venn Diagrams

51 Work Backwards

52 Make a Table and Find the Pattern

53 Casework

54 Count the Complement

55 Guess, Check and Refine

56 Draw a Diagram

57 Solve a Simpler Problem

58 Use Symmetry

59 The Pigeonhole Principle

60 Largest, Smallest and Best Possible

61 Logic and Elimination Puzzles

62 Calendars, Clocks and Cycles

Free Sample

A free sample for this title is coming soon.

Why This Book?

∞

Infinite Variations

Every practice set uses our AI-powered generator — the same numbers never appear twice.

✓

Answers and Worked Methods

Every problem has an answer, and a full step-by-step solution for its method — nothing is left as just a number.

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Competition Aligned

Difficulty and style are calibrated to AMC 8 and MathCounts standards.

📄

Print Ready

Professionally typeset with LaTeX — sharp on any standard printer.

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