• Measurement and geometry
• Statistics and probability
• Number and algebra
• Problem solving

Measurement and geometry

• Draw your very own Easter egg! - explore the maths of the humble egg
• Giant hole - climb through a big hole in a tiny sheet of paper
• Stretchy pictures - learn how to bend pictures just like computers do
• Imperial pie - use old measurements, and make a pie for Pi day
• Tessellating tiles - make a shape that can tile with no gaps
• Marble ramps - find the fastest path to the finish line
• How big is the Sun? How big is the Moon? - measure the size of the Sun and the Moon, without using a spaceship!
• Christmas packing puzzle - try to fit all the presents into the box
• Crochet a hyperbolic plane - use wool to make a strange mathematical sheet
• Fold a spaceship solar panel - find out how they fit huge solar panels into tiny spaceship capsules
• Racetrack - learn about vectors and momentum as you race around a track
• How far do you ride your bike? - turn your bike into a measuring machine
• Where on Earth am I? - use the Sun to discover your latitude
• Gobstopper packing - how many gobstoppers can you fit into a jar?
• Infinite photos - what happens when you take a photo of a photo of a photo?
• Penrose marshmallows - discover  quasi-crystals and also a great topping for cakes!
• Make a piece of shortbread - scale up this recipe to get as much shortbread as you want!
• Reversing perspective - does the room go in or stick out?

Statistics and probability

• Thumb wrestling tournament - how do you find the best thumb wrestler?
• Counting Smarties - use ‘mark and recapture’ to estimate the population of a bag of Smarties
• Party food database - make a machine that can tell you what your friends like to eat
• How much is lots? - survey your friends and find out the difference between a few and a lot
• Birthday paradox - see if you know two people who share a birthday
• Coin toss game - throw coins in the air and try to avoid the lines in this simple game
• Right on target - score points by estimating your own accuracy!
• is anyone average? - explore what average means and whether anyone is truly average
• Faking random - see if you can be as random as a pair of dice!

Number and algebra

• Caesar cipher - make and decode secret messages with your own code wheel
• Make your own slide rule - use two weird rulers to multiply numbers
• One time pad - learn how to use the most secure code in the world.
• Run a lemonade stand - a great way to make some money over summer
• Folding a piece of paper in half - how many times can you do it?
• Chain reaction - use a tiny eraser to knock over a giant box
• Guess my number - see how many guesses it takes!
• Triangular patterns - use a simple rule to create a beautiful pattern
• Read a barcode - learn how a computer turns a barcode into a number
• Make a perpetual calendar - construct a calendar that shows every month until 2027!
• The sieve of Eratosthenes - find prime numbers with this ancient activity

Problem solving

• Dominos on a Chessboard - try to cover a chessboard with dominos!
• Unfriendly neighbours - explore networks with this puzzling activity
• Magic noughts and crosses - predict the outcome of a game before it starts
• Logic puzzles - use clues to solve the mystery
• Sorting with a piece of paper - learn about algorithms with this intriguing activity
• River crossings - help the farmer cross a river
• The bridges of Königsberg - can you cross every bridge once?
• Solve a Sudoku - learn how to solve these popular puzzles
• A game of Nim - make your opponent take the last counter in this challenging game
• Make a sliding puzzle - construct and solve a puzzle with sliding blocks
• A dark bridge crossing - try and get everyone across the bridge as fast as possible in this puzzle
• Share some cakes! - learn about different methods for dividing things
• A game of Hex - try and link two sides of the board before your opponent does
• Solve a Kakuro - learn how to solve these popular puzzles