Practice Contest Math I

Courses

Contest Math I

Learn the key techniques and train hard for contest math.

68 Lessons

Algebra

Learn to search for algebraic strategies that minimize the work you need to do.

Start lesson

Algebra

Geometry

Rotate, stretch, combine, and break apart pieces of the figures in these challenges.

Jump ahead

Geometry

Combinatorics

Learn casework and counting strategies that can be applied to many areas of math including probability.

Jump ahead

Combinatorics

Number Theory

Explore the relationships between prime and composite numbers and the rules for determining divisibility.

Jump ahead

Number Theory

Math Requires Creativity

There are many ways to solve each puzzle! Stretch your mental muscles and come up with a unique approach.

Jump ahead

Math Requires Creativity

End of Introduction

Keep completing lessons to reach this milestone!

Diagnostic: Ratios and Percentages

Check your knowledge of ratios and percentages and identify areas for growth.

Jump ahead

Diagnostic: Ratios and Percentages

Diagnostic: Simple Equations

Review these essential techniques for keeping equations in balance and isolating variables.

Jump ahead

Diagnostic: Simple Equations

Sequences and Series

Find the pattern, extend the pattern, and add them all up in these questions about sequences.

Jump ahead

Sequences and Series

Equations with Ratios

Learn some counter-intuitive tricks for working with ratio equations to avoid making them harder.

Jump ahead

Equations with Ratios

Non-numeric Geometric Ratios

How can you work with ratios when the numerical values are unknown?

Jump ahead

Non-numeric Geometric Ratios

Equations Practice Quiz 1

Put your knowledge to the test with these equation practice questions.

Jump ahead

Equations Practice Quiz 1

Equations Practice Quiz 2

Put your knowledge to the test with these equation practice questions.

Jump ahead

Equations Practice Quiz 2

End of Algebra: Equations

Keep completing lessons to reach this milestone!

Diagnostic: Data

Check your knowledge of data and statistics and identify areas for growth.

Jump ahead

Diagnostic: Data

Data Measures

There are many ways to describe the center of a data set. Make sure you know which is which.

Jump ahead

Data Measures

Changing Data Sets

How do modifications to the data sets affect these statistics?

Jump ahead

Changing Data Sets

Determine the Set

Reconstruct the original data from incomplete information.

Jump ahead

Determine the Set

Multiple Possibilities

Determine what values satisfy each of these circumstances.

Jump ahead

Multiple Possibilities

Data Practice 1

Put your knowledge to the test with these data practice questions.

Jump ahead

Data Practice 1

Data Practice Quiz 2

Put your knowledge to the test with these data practice questions.

Jump ahead

Data Practice Quiz 2

End of Algebra: Data

Keep completing lessons to reach this milestone!

Diagnostic: Measures

Review your knowledge of geometry and identify areas for growth.

Jump ahead

Diagnostic: Measures

Diagnostic: Angle Hunting

Finding angles relies on a handful of key ideas; make sure you're familiar with them all.

Jump ahead

Diagnostic: Angle Hunting

Polygon Angle Hunting

Extend your hunt for angles to more complicated, polygonal figures.

Jump ahead

Polygon Angle Hunting

Special Right Triangles

The side ratios in these special right triangles show up again and again on contests!

Jump ahead

Special Right Triangles

Creating Right Triangles

Add lines to figures to turn tricky puzzles into right triangle problems that you can solve quickly!

Jump ahead

Creating Right Triangles

Measures Practice Quiz 1

Put your knowledge to the test with these geometry practice questions.

Jump ahead

Measures Practice Quiz 1

Measures Practice Quiz 2

Put your knowledge to the test with these geometry practice questions.

Jump ahead

Measures Practice Quiz 2

End of Geometry: Measures

Keep completing lessons to reach this milestone!

Diagnostic: Similarity

Check your understanding of the key ideas used in similarity problems, and identify areas for growth.

Jump ahead

Diagnostic: Similarity

Scaling

Scale figures in multiple dimensions to answer these questions.

Jump ahead

Scaling

Exploring Similarity

Leverage your skill with similarity to solve these challenging puzzles.

Jump ahead

Exploring Similarity

Applying Similarity

To solve these problems, look for opportunities to add line segments that will create similar figures.

Jump ahead

Applying Similarity

Coordinate Geometry

Connect your algebra and geometry skills by putting geometric figures on a coordinate plane.

Jump ahead

Coordinate Geometry

Similarity Practice Quiz 1

Put your knowledge to the test with these similarity practice questions.

Jump ahead

Similarity Practice Quiz 1

Similarity Practice Quiz 2

Put your knowledge to the test with these similarity practice questions.

Jump ahead

Similarity Practice Quiz 2

End of Geometry: Similarity

Keep completing lessons to reach this milestone!

Diagnostic: Composites

Check your understanding of the fundamental geometric formulas and identify areas for growth.

Jump ahead

Diagnostic: Composites

Lunes & Leaves

These circle pieces are easiest to work with when they are sliced up.

Jump ahead

Lunes & Leaves

Inscribed Figures

Polygons in circle and circles in polygons!

Jump ahead

Inscribed Figures

Ratios Meet Geometry

Connect proportional reasoning from algebra to geometry in order to solve these problems.

Jump ahead

Ratios Meet Geometry

Working in 3D

Deepen your intuition and extend your thinking into the third dimension.

Jump ahead

Working in 3D

Composites Practice Quiz 1

Put your knowledge to the test with these composite practice questions.

Jump ahead

Composites Practice Quiz 1

Composites Practice Quiz 2

Put your knowledge to the test with these composite practice questions.

Jump ahead

Composites Practice Quiz 2

End of Geometry: Composites

Keep completing lessons to reach this milestone!

Diagnostic: Counting

Review these combinatorics problem-solving strategies, and identify areas for growth.

Jump ahead

Diagnostic: Counting

Venn Diagrams

Use Venn diagrams to think carefully about the properties of sets.

Jump ahead

Venn Diagrams

Branch Diagrams

Learn an essential, organizational technique for counting in many situations.

Jump ahead

Branch Diagrams

Over-Counting

Sometimes the best way to count everything is to count some parts twice and then subtract the extra.

Jump ahead

Over-Counting

Symmetry

计数是最简单的,当你可以避免它;看佛r ways to shortcut these problems with symmetry.

Jump ahead

Symmetry

Counting Practice Quiz 1

Put your knowledge to the test with these counting practice questions.

Jump ahead

Counting Practice Quiz 1

Counting Practice Quiz 2

Put your knowledge to the test with these counting practice questions.

Jump ahead

Counting Practice Quiz 2

End of Combinatorics: Counting

Keep completing lessons to reach this milestone!

Diagnostic: Probability

Review the principles that underlie basic probability, and identify areas for growth.

Jump ahead

Diagnostic: Probability

Probability by Outcomes

Use the definition of probability to solve these problems by counting.

Jump ahead

Probability by Outcomes

PIE and Complements

See what happens when probability intersects with thinking about sets.

Jump ahead

PIE and Complements

Choosing

Solve these problems that combine counting with probability.

Jump ahead

Choosing

Symmetry and Conditional

Symmetry can be just as useful in probability as it is in counting.

Jump ahead

Symmetry and Conditional

Probability Practice Quiz 1

Put your knowledge to the test with these probability practice questions.

Jump ahead

Probability Practice Quiz 1

Probability Practice Quiz 2

Put your knowledge to the test with these probability practice questions.

Jump ahead

Probability Practice Quiz 2

End of Combinatorics: Probability

Keep completing lessons to reach this milestone!

Diagnostic: Efficiency

尝试解决这些问题的有效和鉴别ify areas for growth in your number theory skills.

Jump ahead

Diagnostic: Efficiency

Calculations

Find the fastest (and laziest!) way to solve these problems.

Jump ahead

Calculations

Exponents

Apply the product and quotient rule to rapidly simplify these exponent questions.

Jump ahead

Exponents

Roots

Explore a handful of techniques for working with radicals.

Jump ahead

Roots

What's the Number?

These cryptogram puzzles will put your understanding of arithmetic into practice!

Jump ahead

What's the Number?

Efficiency Practice Quiz 1

Put your knowledge to the test with these arithmetic efficiency practice questions.

Jump ahead

Efficiency Practice Quiz 1

Efficiency Practice Quiz 2

Put your knowledge to the test with these arithmetic efficiency practice questions.

Jump ahead

Efficiency Practice Quiz 2

End of Number Theory: Efficiency

Keep completing lessons to reach this milestone!

Diagnostic: Factorization

Review and apply factorization with these practice problems, and identify areas for growth.

Jump ahead

Diagnostic: Factorization

Number of Divisors

What's the best way to determine how many divisors an integer has?

Jump ahead

Number of Divisors

GCD and LCM

Use the prime factorization of integers to work with greatest common divisor and least common multiple.

Jump ahead

GCD and LCM

Factorials

Work with these gigantic values without calculating them out fully.

Jump ahead

Factorials

Cryptograms

Apply divisibility rules and careful thinking to solve these cryptograms.

Jump ahead

Cryptograms

Factorization Practice Quiz 1

Put your knowledge to the test with these factorization practice questions.

Jump ahead

Factorization Practice Quiz 1

Factorization Practice Quiz 2

Put your knowledge to the test with these factorization practice questions.

Jump ahead

Factorization Practice Quiz 2

End of Number Theory: Factorization

Keep completing lessons to reach this milestone!