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STEM Projects & Olympiad Lab

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

10 projects for Grade 12

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

Momentum and Collisions

Science · Physics, Data Analysis

Crash two toy carts together, measure speeds from video, and test whether total momentum is conserved.

1.3 to 2 hr · 7 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
ExperimentAdvanced

RC Circuits: Charging a Capacitor

Science, Engineering · Electricity, Physics

Chart the voltage across a charging capacitor and fit the exponential curve to find the time constant.

1.2 to 1.8 hr · 7 materialsView project
Grade 12
ExperimentAdvanced

Rolling Race: Moment of Inertia

Science · Physics, Energy

Roll a solid cylinder and a hollow tube down the same ramp and use the winner to test a prediction from rotational physics.

1.2 to 1.8 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.