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STEM Projects & Olympiad Lab

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

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22 projects

Grade 1
Math ChallengeBeginner

How Long Is My Foot? Measuring with Anything

Math · Measurement, Number Sense

Measure the same things with paper clips, blocks and a ruler and discover why we need standard units.

25 to 40 min · 5 materialsView project
Grade 1
Math ChallengeBeginner

Pattern Train

Math · Logic, Number Sense

Build trains of colored blocks that follow a pattern and figure out what comes next.

20 to 35 min · 2 materialsView project
Grade 2
Math ChallengeBeginner

Coin Counting: The Make Change Shop

Math · Number Sense, Logic

Run a pretend shop and find the fewest coins to make each price and give back change.

30 to 45 min · 5 materialsView project
Grade 3
Math ChallengeBeginner

Fraction Strips Puzzles

Math · Number Sense, Geometry

Fold paper strips into halves, thirds, fourths and more, and use them to compare and match fractions.

35 to 55 min · 5 materialsView project
Grade 3
Math ChallengeBeginner

Measure and Estimate Like a Pro

Math, Science · Measurement, Number Sense

Guess lengths, masses and volumes first, then measure them, and see how close your estimates can get.

30 to 45 min · 5 materialsView project
Grade 3
Math ChallengeBeginner

Multiplication Array Puzzles

Math · Number Sense, Geometry

Use rows of counters to see multiplication, and discover why 3 times 4 equals 4 times 3.

30 to 45 min · 3 materialsView project
Grade 4
Math OlympiadIntermediate

Magic Squares

Math · Logic, Number Sense

Place the numbers 1 to 9 in a grid so every row, column and diagonal adds to the same total.

30 to 50 min · 3 materialsView project
Grade 4
Math OlympiadBeginner

The Handshake Puzzle

Math · Logic, Number Sense

Act out handshakes with friends and discover the pattern behind counting pairs.

30 to 45 min · 4 materialsView project
Grade 5
BuildIntermediate

Solar System Scale Model

Science, Math · Earth Science, Measurement

Use a scale to place the planets along a strip of paper and discover how empty space really is.

40 to 70 min · 5 materialsView project
Grade 6
Math ChallengeIntermediate

Mean, Median and Mode: A Class Survey

Math · Data Analysis, Probability

Survey your family and friends, find the mean, median and mode, and decide which one tells the story best.

45 to 70 min · 5 materialsView project
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 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 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

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 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 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.