Competition Math Practice Worksheets & Problems

Competition math practice spanning two tiers — an Elementary tier (grades 4–6) covering number sense, counting, logic, and puzzles, and a Middle School tier (grades 6–8) reaching into number theory, combinatorics, algebra, geometry, and olympiad topics. Problems mirror MOEMS, Math League, and MATHCOUNTS in structure, each with a complete worked solution.

What Competition Math covers

Elementary (Grades 4–6)

Number Sense and Place Value

• Place Value Puzzles
• Digit Problems

Patterns and Sequences

• Number Series Sums
• Number Patterns

Divisibility, Factors and Multiples

• Multiples and LCM
• Remainder Problems

Fractions and Money

• Money Problems
• Fraction of a Figure

Rates, Time and Calendar

• Rate Problems
• Calendar and Clock

Geometry and Measurement

• Area by Decomposition

Counting and Logic

• Systematic Counting
• Logic Puzzles

Puzzles

• Cryptarithms
• Magic Squares

Middle School (Grades 6–8)

Advanced Number Theory

• Primes, Factors and Divisibility
• GCD, LCM and Factorials
• Modular Arithmetic
• Exponents, Powers and Bases
• Sequences and Series

Counting and Probability

• Counting and Combinatorics
• Permutations and Combinations
• Probability and Expected Value
• Sets, Venn and Logic

Algebra and Equations

• Expressions, Equations and Inequalities
• Systems, Functions and Polynomials
• Ratios, Percents and Proportions
• Rates, Work and Data

Geometry

• Angles, Triangles and Polygons
• Circles
• Perimeter, Area, Surface Area and Volume
• Coordinate Geometry and Transformations

Olympiad and Advanced

• Olympiad Number Theory
• Advanced Counting
• Olympiad Geometry and Theorems
• Advanced Puzzles

Sample Competition Math problems

A few auto-generated examples — every worksheet you make is a fresh set, with complete step-by-step solutions.

Generating sample problems…

More math practice

• Pre-Algebra practice Grades 6–7
• Algebra 1 practice Grades 8–9 · High School
• Geometry practice High School
• Elementary Math practice Grades 4–5
• High School Competition practice Grades 8–12 · AMC
• Printable workbooks →
• Common Core standards coverage →