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Jumping Squares
In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.
Round and Round the Circle
What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.
Sports Equipment
If these balls are put on a line with each ball touching the one in front and the one behind, which arrangement makes the shortest line of balls?
Light the Lights Again
Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you work out the rule for each light?
Up and Down Staircases
One block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?
Curvature of Surfaces
Playing With Factors and Multiples
This article for primary teachers outlines why developing an intuitive 'feel' for numbers matters, and how our activities focusing on factors and multiples can help.