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This collection of tasks is part of the activities for 14-16 year olds section of the Maths At Home feature. The activities below all include an online interactivity where you can test your ideas and make discoveries. The stars represent the challenge level, with three stars indicating the most challenging activities.
You may also wish to explore Interactive Games and Puzzles for 11-14 year olds, and Videos and Interactive Problems for 16-18 year olds.
A game in which players take it in turns to choose a number. Can you block your opponent?
Collect as many diamonds as you can by drawing three straight lines.
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?
Can you find the hidden factors which multiply together to produce each quadratic expression?
Can you work out which spinners were used to generate the frequency charts?