EEduVistaHQ
Explore • Experiment • Build • Learn

STEM Projects & Olympiad Lab

120 hands-on experiments, engineering builds, and Olympiad-inspired challenges for Grades 1 to 12.

Clear filters

46 projects

Grade 7
Math ChallengeIntermediate

Binary Numbers and Coding Cards

Technology, Math · Coding, Number Sense

Use five cards to count, convert and send secret messages in binary, the language computers use.

45 to 70 min · 4 materialsView project
Grade 7
Math OlympiadIntermediate

The Pigeonhole Principle

Math · Logic, Number Sense

Discover a simple idea that guarantees surprising facts, such as two people in a class sharing a birthday month.

40 to 60 min · 3 materialsView project
Grade 8
Math ChallengeIntermediate

Codebusters: Caesar and Cipher Cracking

Math, Technology · Logic, Number Sense

Make secret messages with a Caesar cipher and crack coded messages using letter frequency.

40 to 70 min · 4 materialsView project
Grade 9
Math OlympiadIntermediate

Counting Problems: Permutations and Combinations

Math · Probability, Logic

Discover systematic ways to count arrangements and selections, and use them to solve olympiad-style problems.

50 to 80 min · 3 materialsView project
Grade 9
Math OlympiadAdvanced

Digit Sums and Divisibility

Math · Number Sense, Logic

Discover why you can test for divisibility by 3 and 9 by adding digits, and prove it.

45 to 75 min · 3 materialsView project
Grade 9
Math OlympiadIntermediate

Euler Paths and the Konigsberg Bridges

Math · Logic, Geometry

Decide whether a route can cross every bridge once and discover the rule that solves every such puzzle.

50 to 80 min · 4 materialsView project
Grade 9
ExperimentIntermediate

Heart Rate and Exercise

Science, Math · Biology, Data Analysis

Measure pulse before, during and after exercise and analyze how fast the body recovers.

40 to 60 min · 5 materialsView project
Grade 10
Math OlympiadAdvanced

Clock Math: Modular Arithmetic

Math · Number Sense, Logic

Explore arithmetic that wraps around like a clock and use it to solve remainder and last digit puzzles.

50 to 80 min · 3 materialsView project
Grade 10
Math OlympiadAdvanced

Discovering Pick's Theorem on a Geoboard

Math · Geometry, Logic

Draw polygons on dot paper, count points, and discover a formula for area using only dots.

50 to 90 min · 4 materialsView project
Grade 10
Math ChallengeIntermediate

Estimating Pi with Random Sampling

Math, Technology · Probability, Coding

Scatter random points in a square, count how many land inside a quarter circle, and use the ratio to estimate pi.

50 to 90 min · 5 materialsView project
Grade 10
ExperimentIntermediate

Mark and Recapture: Estimating a Population

Science, Math · Biology, Environmental Science

Estimate the number of beans in a bag the way biologists estimate wildlife populations.

45 to 75 min · 5 materialsView project
Grade 10
Math ChallengeAdvanced

Vigenere Cipher and Frequency Analysis

Math, Technology · Logic, Coding

Encrypt with a keyword and break the cipher by splitting the message and using frequency analysis on each part.

1 to 1.7 hr · 4 materialsView project
Grade 11
Math ChallengeAdvanced

Binomial Distribution with Coin Flips

Math · Probability, Data Analysis

Flip 10 coins many times, build a histogram of heads, and compare it with the binomial model.

1 to 1.7 hr · 4 materialsView project
Grade 11
Math ChallengeAdvanced

Fibonacci, Recursion and the Golden Ratio

Technology, Math · Coding, Number Sense

Code the Fibonacci sequence two ways, compare their speed, and watch the ratio of terms home in on the golden ratio.

1 to 1.7 hr · 3 materialsView project
Grade 11
ExperimentAdvanced

Pendulum Lab: Measuring Gravity with Uncertainty

Science, Math · Physics, Measurement

Use a string and a weight to measure the acceleration of gravity and judge how trustworthy your result is.

60 to 90 min · 7 materialsView project
Grade 12
ExperimentAdvanced

Designing an Experiment and Testing the Difference

Science, Math · Data Analysis, Probability

Run a two-group reaction time experiment, calculate means and standard error, and decide whether the difference is real.

1.3 to 2 hr · 4 materialsView project
Grade 12
ExperimentAdvanced

Newton's Law of Cooling

Science, Math · Physics, Energy

Record how a cup of hot water cools, fit an exponential model, and use it to predict the temperature at a later time.

1 to 2 hr · 6 materialsView project
Grade 12
Math ChallengeAdvanced

Shortest Paths and Dijkstra's Algorithm

Technology, Math · Coding, Logic

Find the fastest route on a weighted map by hand, then turn the method into code.

1.2 to 2 hr · 4 materialsView project
Grade 12
ExperimentAdvanced

Terminal Velocity and Drag with Coffee Filters

Science, Math · Physics, Data Analysis

Drop stacks of coffee filters, measure their steady fall speed, and show how air drag grows with speed.

1 to 1.7 hr · 5 materialsView project
Grade 12
Math OlympiadAdvanced

The AM-GM Inequality

Math · Logic, Geometry

Discover why the average of two numbers is never less than their geometric mean and use it to solve optimization problems.

1 to 1.7 hr · 3 materialsView project
Grade 12
Math ChallengeAdvanced

The Best Open Box: Modeling and Optimization

Math, Engineering · Geometry, Measurement

Cut squares from a sheet to fold an open box, then model its volume and find the cut that holds the most.

60 to 90 min · 7 materialsView project
Grade 12
Math OlympiadAdvanced

Tower of Hanoi and Mathematical Induction

Math · Logic, Number Sense

Solve the Tower of Hanoi puzzle, find the minimum number of moves, and prove your formula by induction.

1 to 1.7 hr · 3 materialsView project

EduVistaHQ.com · Learn • Explore • Grow. Olympiad-inspired activities are practice for the skills those competitions use. EduVistaHQ is not affiliated with Science Olympiad or any other competition organization.