problem What numbers can we make now? Age 11 to 14 Challenge level Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
problem Unravelling Sequences Age 7 to 11 Challenge level Can you describe what is happening as this program runs? Can you unpick the steps in the process?
problem Maxagon Age 11 to 14 Challenge level What's the greatest number of sides a polygon on a dotty grid could have?
problem Growing Surprises Age 11 to 14 Challenge level Can you find the connections between linear and quadratic patterns?
problem Speedy summations Age 16 to 18 Challenge level Watch the video to see how to add together an arithmetic sequence of numbers efficiently.
problem Steel Cables Age 14 to 16 Challenge level Some students have been working out the number of strands needed for different sizes of cable. Can you make sense of their solutions?
problem Odds, Evens and More Evens Age 11 to 14 Challenge level Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...
problem Seven Squares Age 11 to 14 Challenge level Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?
problem What numbers can we make? Age 11 to 14 Challenge level Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?