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All problems
Spirograph Predictions
Read through this whole problem before making any designs. Before you've drawn …
Fractions
Ratios and Proportions
Spirograph
Lost in Minecraft
Imagine you have built a base in Minecraft. You wander away from …
Make a Sketch
Geometry
Minecraft
How many Skittles?
Start by weighing a bag of Skittles. With a kitchen scale, pour …
Ratios and Proportions
Simplified Star Bracelet - Twice as Long
You start a star bracelet by placing rubber bands from the first …
Algebra 1
Rainbow Loom
Simplified Star Bracelet - Two More Pins
You start a star bracelet by placing rubber bands from the first …
Algebra 1
Rainbow Loom
Simplified Star Bracelet
You start a star bracelet by placing rubber bands from the first …
Algebra 1
Rainbow Loom
Minecraft Towers
If you haven't done so already, make a simple world for yourself …
Minecraft
Minecraft Rectangles
If you haven't done so already, make a simple world for yourself …
Minecraft
Maximum /fill cube size
Using the /fill command in Minecraft PE, there's a limit to the …
Minecraft
Electric Kettle
For this problem, you'll need an electric kettle with a digital temperature …
Kitchen
LEGO Gears 3
Materials: 2 small LEGO gears, and 2 medium LEGO gears. Make a …
Fractions
LEGO
LEGO Gears 2
Make a small LEGO gear drive a medium LEGO gear. How many …
Fractions
LEGO
Larger Circles
Use a compass to draw a circle. Measure the diameter, and then …
Circles
Predicting Circumference
Use a compass to draw three circles. Larger circles are easier to …
Circles
LEGO Gears 1
Make a small LEGO gear drive a large LEGO gear. How many …
Fractions
LEGO
Lego Fractions: Sixteenths
If you use a 2x8 plate to represent one whole, what fraction …
Fractions
LEGO
Lego Fractions: Eighths
You can use a 1x8 plate to represent one whole. What does …
Fractions
LEGO
Lego Fractions: Fourths
You can consider a 1x4 plate to represent one whole. That means …
Fractions
LEGO
Saturn V Height
The Lego Saturn V Rocket kit is a scale model. That means …
Geometry
LEGO
Square Ages
Think of someone in your life who’s a fair bit older than …
Algebra 1
Bench Placement
You are part of a team building a picnic table. You know …
Carpentry
Dealing with Absences
There's a student in your math class who was supposed to make …
Gardening
Picnic Table Supports
We're going to make a picnic table top out of 2x8's. We'll …
Carpentry
Fractions
Lag Screw Sizing
We are going to make a table top out of 2x8's. The …
Carpentry
Picnic Table Spacing
You want to make a square picnic table that is 4 1/2 …
Carpentry
Hanging Bowling Ball
A bowling ball with a mass of 4 kg is suspended by …
Unit Analysis
Algebra 1
Physical Science
Bowling Ball Speed
A bowling ball with a mass of 4 kg has 392 J …
Unit Analysis
Physical Science
Falling Mass
A one-kilogram mass is falling through Earth's atmosphere. If you ignore air …
Unit Analysis
Physical Science
Bowling Ball
A bowling ball with a mass of 4 kg is suspended by …
Algebra 1
Physical Science
Roller Coaster
You are in a roller coaster car that has a mass of …
Algebra 1
Physical Science
Roof Angle
The rafters on a 5/12 pitch roof rise 5 inches for every …
Geometry
Right Triangles
Carpentry
Roof Height 2
The rafters on a 5/12 pitch roof rise 5 inches for every …
Geometry
Right Triangles
Carpentry
Roof Height
The rafters on a 5/12 pitch roof rise 5 inches for every …
Geometry
Right Triangles
Carpentry
More Lumber
You are running a sawmill. A forester brings you two logs. Both …
Geometry
Carpentry
Rolling Dice - 2 of any size
Take two dice of any size. Typically when we roll a pair …
Rolling Dice
Fractions
Rolling Dice - 2 D6
Take two six-sided dice. Typically when we roll a pair of dice, …
Rolling Dice
Fractions
Rolling Dice - 1 D6
Take a single six-sided die. If you roll the die 100 times, …
Rolling Dice
Fractions
Dangerous Miter Saw
You have a 10" miter saw, and unbeknownst to you one of …
Unit Analysis
Algebra 1
Physical Science
Carpentry
Lumber from Trees
You have an 8-foot section of a tree, that has been debarked. …
Algebra 1
Circles
Carpentry
Arc length
Every angle can be placed at the center of a circle. The …
Geometry
Circles
Hexagonal Table
You want to make a hexagonal table top. It's going to have …
Geometry
Carpentry
Building a Longer Road
You now know how many tiles it takes to make a 2-foot …
Simple Conversions
Building a Road
You have a giant box of wooden tiles that are 1" wide …
Simple Conversions
Dropping a Softball
You hold a softball at shoulder height. How much potential energy does …
Physical Science
My Grandmother's Heels
I have mostly good memories of my grandmother, but I have one …
Physical Science
Fastball Deceleration
A pitcher throws a fastball at 97 mph, and the catcher catches …
Physical Science
Catching a Fastball
A baseball pitcher throws a fastball at about 97 miles per hour. …
Physical Science
Angle of the Sun
You are standing in a flat, open area and notice that your …
Geometry
Right Triangles
Similar Triangles
Different Plates
You have two lego plates of different sizes. One is m studs …
Permutations
LEGO
Identical Plates
You have two lego plates of the same size; the plates are …
Permutations
LEGO
3x5 and 2x4 Plates
You have two Lego plates; one is a 3x5 plate and one …
Permutations
LEGO
3x5 Plates
You have two 3x5 Lego plates. You start with one plate flat …
Permutations
LEGO
2x4 Plates
You have two 2x4 Lego plates. You start with one plate flat …
Permutations
LEGO
Making Molecules
If you look in the first column of the periodic table, you'll …
Permutations
Periodic Table
Steel Rods on a 1-ton Truck
You are loading half-inch diameter, 6-foot long steel rods into the bed …
Welding
Medication II
You are responsible for determining the amount of medication to give a …
Unit Analysis
Medical
Unit conversion - formulas: F = mv2/r
A 100g marble is being spun around on a string that is …
Unit Analysis
Unit conversion - formulas: F = ma
You drop a 100g marble from a height of 10m, and measure …
Unit Analysis
Trick or Treat Street
You are going trick or treating on a special, but slightly mathematically …
Halloween
Two-Sided Tiles
You have a set of tiles that have different colors on each …
Twenty Questions, 100 Points
A test has twenty questions worth 100 points. The test consists of …
Algebra 1
Right Hand Turns
Cassidy is visiting New York City in the middle of a road …
Make a Sketch
Tire Lifetime
A typical tire starts with about 10/32" of tread depth. A tire …
Square Rings
Place a square tile on the middle of a table. Now choose …
Steel Plates on a 1-ton Truck
You are loading ¼" steel plates into the bed of a 1-ton …
Unit Analysis
Welding
Blood Spatter Analysis - Two drops
You are analyzing a blood spatter pattern at a crime scene. You …
Criminal Investigation
Medication
You are responsible for determining the amount of medication to give a …
Unit Analysis
Medical
The Largest Diamond
The weight of a diamond is often expressed in carats. A carat …
Unit Analysis
Basic Conversions
The purpose of this problem is not just to do the conversion, …
Simple Conversions
Annual Sales
You've decided to sell your artwork at a flat rate of $25 …
Matt's Long Run
Matt ran 9.8 miles to Indian River Falls and back. How many …
Unit Analysis