problem School fair necklaces Age 5 to 11 Challenge level How many possible symmetrical necklaces can you find? How do you know you've found them all?
problem Number Daisy Age 11 to 14 Challenge level Can you find six numbers to go in the Daisy from which you can make all the numbers from 1 to a number bigger than 25?
article Peg and Pin Boards This article for teachers suggests activities based on pegboards, from pattern generation to finding all possible triangles, for example.
problem Ribbon Squares Age 7 to 11 Challenge level What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?
problem The Dice Train Age 7 to 11 Challenge level This dice train has been made using specific rules. How many different trains can you make?
problem Cover the tray Age 7 to 11 Challenge level These practical challenges are all about making a 'tray' and covering it with paper.
problem Difference Sudoku Age 14 to 16 Challenge level Use the differences to find the solution to this Sudoku.
problem Greater Than or Less Than? Age 7 to 11 Challenge level Use the numbers and symbols to make this number sentence correct. How many different ways can you find?
problem Sums and Differences 2 Age 7 to 11 Challenge level Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?
problem Sums and Differences 1 Age 7 to 11 Challenge level This challenge focuses on finding the sum and difference of pairs of two-digit numbers.