Competition Mathematics Series
Competition Math for Grades 4–6
Topics and Problem-Solving Strategies for Math Contests
MOEMS ReadyMath KangarooProblem-Solving StrategiesWorked Solutions
Grades 4–6
·Competition Ready
·
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About This Book
A first competition course for elementary students, at the level of MOEMS and Math Kangaroo. Part I builds the topics contest problems are made of; Part II teaches the strategies that turn a hard problem into an easy one. Every problem has an answer, and a worked solution for the method it uses.
Table of Contents
1
Digit Puzzles: Place Value, Digit Sums, Largest and Smallest Numbers
2
Clever Arithmetic: Grouping, Compensation, Pairing
3
Operation Puzzles: Missing Signs, Parentheses, Defined Operations
4
Odd and Even Reasoning
5
Divisibility Rules and Missing Digits
6
Factors and Primes
7
Common Multiples and Common Factors in Stories
8
Remainders, Last Digits and Repeating Patterns
9
Patterns, Sequences, Fence Posts and Gaps
10
Counting Numbers and Digits
11
Sums of Evenly Spaced Numbers
12
Fractions of a Whole, a Set and a Figure
13
Fraction Story Problems
14
Decimals, Money and Percents
15
Ratios and Rates
16
Averages
17
Angles, Triangles and Polygons
18
Time, Calendars and Clocks
19
Measurement and Unit Conversion
20
Perimeter and Area of Rectilinear Figures
21
Counting Figures: Squares, Rectangles, Triangles
22
Cubes and Solids: Counting Cubes, Nets, Painted Cubes
23
Grids, Paths and Routes
24
Counting with Lists and the Multiplication Principle
25
Handshakes, Games and Choosing Groups
26
Chance: Favorable Outcomes over All Outcomes
27
Venn Diagrams and Overlapping Groups
28
Logic Puzzles: Truth-Tellers, Ordering Clues, Elimination Grids
29
Number Arrangements and Sum Puzzles
30
Balance and Substitution Puzzles
31
Age Problems
32
Work Backwards
33
Guess, Check and Revise
34
Make a Table and Look for a Pattern
35
Draw a Diagram: Bar Models
36
Make an Organized List
37
Solve a Simpler Problem First
38
Two Kinds of Objects: Heads and Legs, Tickets, Coins
39
Meeting and Catching Up
40
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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.
Competition Aligned
Difficulty and style are calibrated to AMC 8 and MathCounts standards.
Print Ready
Professionally typeset with LaTeX — sharp on any standard printer.