This collection of tasks is part of the activities for 16-18 year olds section of the Maths At Home feature. The activities below all include an online interactivity or video. 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 14-16 year olds.
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problem
Beelines
Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
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problem
Exploring cubic functions
Quadratic graphs are very familiar, but what patterns can you explore with cubics?
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problem
Picture story
Can you see how this picture illustrates the formula for the sum of the first six cube numbers?
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problem
Speedy summations
Watch the video to see how to add together an arithmetic sequence of numbers efficiently.