MATHCOUNTS MINIS

A video resource created by Art of Problem Solving!

Art of Problem Solving's Richard Rusczyk, a MATHCOUNTS alumnus, has been creating MATHCOUNTS Minis videos for more than a decade! Minis provide detailed explanations for MATHCOUNTS problems and their associated math concepts, plus include activity sheets. They're great resources for math team practices or club meetings! Visit Art of Problem Solving for many more educational resources.

Great Minis for At-Home Learners
triangle
Mini #11

Tangent Segments & Similar Triangles

lines of text
Mini #19

Turning Word Problems into Algebra Equations

right triangle
Mini #22

Geometry: 30-60-90 Right Triangles

pattern
Mini #29

Sequences, Series and Patterns

shortcut
Mini #32

Using Algebra and Number Sense as Shortcuts

triangle and circle
Mini #34

Geometry: Circles and Right Triangles

parabola
Mini #38

Solving Quadratic Equations Using Substitution Simplification

magnifying glass
Mini #57

Number Sense: Looking for Patterns

directional signs
Mini #64

More Than One Way to Solve a Problem

Division
Mini #75

Strategic Guessing Using Divisibility Rules

path
Mini #85

Counting Paths

Average
Mini #93

Sequences and Central Tendency

Please select an option.
MINI #15 - PROBABILITY WITH GEOMETRY REPRESENTATIONS
Math Topic:
Plane Geometry, Probability, Counting and Combinatorics
Common Core State Standard:
7.SP.7
Difficulty:
Difficult
Video by Art of Problem Solving's Richard Rusczyk.
MINI #16 - RELATIONSHIPS BETWEEN A BOX'S DIMENSIONS, VOLUME AND SURFACE AREA
Math Topic:
Measurement, Solid Geometry
Common Core State Standard:
6.G.4, 7.G.6
Difficulty:
Medium
Video by Art of Problem Solving's Richard Rusczyk.
MINI #17 - RELATIONSHIPS BETWEEN ARITHMETIC SEQUENCES, MEAN AND MEDIAN
Math Topic:
Sequences, Series and Patterns, Statistics and Data
Common Core State Standard:
F-BF.2
Difficulty:
Medium
Video by Art of Problem Solving's Richard Rusczyk.
MINI #18 - AREAS OF IRREGULAR CONVEX POLYGONS
Math Topic:
Plane Geometry
Common Core State Standard:
6.G.1
Difficulty:
Difficult
Video by Art of Problem Solving's Richard Rusczyk.
MINI #19 - TURNING WORD PROBLEMS INTO ALGEBRA EQUATIONS
Math Topic:
Algebraic Expressions and Equations
Common Core State Standard:
6.EE.7
Difficulty:
Easy
Video by Art of Problem Solving's Richard Rusczyk.
MINI #20 - USING THE DIFFERENCE OF SQUARES TO SOLVE PROBLEMS
Math Topic:
Algebraic Expressions and Equations
Common Core State Standard:
A-APR.5, A-SSE.2
Difficulty:
Medium
Video by Art of Problem Solving's Richard Rusczyk.
MINI #21 - COUNTING RECTANGLES IN A GRID/SQUARES IN A LATTICE GRID
Math Topic:
Probability, Counting and Combinatorics
Common Core State Standard:
S-CP.9, SMP
Difficulty:
Medium
Video by Art of Problem Solving's Richard Rusczyk.
MINI #22 - GEOMETRY/30-60-90 RIGHT TRIANGLES
Math Topic:
Plane Geometry
Common Core State Standard:
G-SRT.6
Difficulty:
Medium
Video by Art of Problem Solving's Richard Rusczyk.
MINI #23 - PERFECT SQUARES/USING A SIMPLER CASE TO SOLVE A PROBLEM
Math Topic:
Algebraic Expressions and Equations
Common Core State Standard:
A-APR.5, A-REI.4
Difficulty:
Medium
Video by Art of Problem Solving's Richard Rusczyk.
MINI #24 - FINDING SIMPLER WAYS TO APPROACH A COMPLEX PROBLEM
Math Topic:
Probability, Counting and Combinatorics, Problem Solving (Misc.)
Common Core State Standard:
S-CP.9
Difficulty:
Medium
Video by Art of Problem Solving's Richard Rusczyk.
MINI #25 - SEQUENCES
Math Topic:
Algebraic Expressions and Equations, Sequences, Series and Patterns
Common Core State Standard:
F-BF.2
Difficulty:
Difficult
Video by Art of Problem Solving's Richard Rusczyk.
MINI #26 - PROBABILITY AND COUNTING
Math Topic:
Probability, Counting and Combinatorics
Common Core State Standard:
S-CP.9
Difficulty:
Difficult
Video by Art of Problem Solving's Richard Rusczyk.
MINI #27 - AREA AND VOLUME
Math Topic:
Plane Geometry, Solid Geometry
Common Core State Standard:
7.G.6
Difficulty:
Difficult
Video by Art of Problem Solving's Richard Rusczyk.
MINI #28 - NEW APPROACHES TO RATE X TIME = DISTANCE
Math Topic:
Algebraic Expressions and Equations, General Math
Common Core State Standard:
6.EE.7
Difficulty:
Easy
Video by Art of Problem Solving's Richard Rusczyk.
MINI #29 - SEQUENCES, SERIES AND PATTERNS
Math Topic:
Sequences, Series and Patterns
Common Core State Standard:
F-BF.2
Difficulty:
Medium
Video by Art of Problem Solving's Richard Rusczyk.
MINI #30 - SIMILAR TRIANGLES AND PROPORTIONAL REASONING
Math Topic:
Plane Geometry, Proportional Reasoning
Common Core State Standard:
7.G.1
Difficulty:
Difficult
Video by Art of Problem Solving's Richard Rusczyk.
MINI #31 - CONSTRUCTIVE COUNTING
Math Topic:
Probability, Counting and Combinatorics
Common Core State Standard:
S-CP.9
Difficulty:
Medium
Video by Art of Problem Solving's Richard Rusczyk.
MINI #32 - USING ALGEBRA AND NUMBER SENSE AS SHORTCUTS
Math Topic:
Algebraic Expressions and Equations, Problem Solving (Misc.)
Common Core State Standard:
6.EE.7, 8.EE.8, A-APR.5
Difficulty:
Medium
Video by Art of Problem Solving's Richard Rusczyk.