Visualising and representing
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listTeacher primary feature recording
This collection of activities offers an opportunity for you to focus on children's own creative representations and recordings. Read the article to find out why we have selected these particular tasks. Click the 'Submit a solution' link on any live problem to find out the closing date. -
problemBike shop
Age14 to 16Challenge level
If I walk to the bike shop, but then cycle back, what is my average speed? -
problemFence it
Age11 to 14Challenge level
If you have only 40 metres of fencing available, what is the maximum area of land you can fence off? -
problemStarting Fibonacci
Age11 to 14Challenge level
What is the first term of a Fibonacci sequence whose second term is 4 and fifth term is 22?
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problemSumming geometric progressions
Age14 to 18Challenge level
Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?
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problemKite in a square
Age14 to 18Challenge level
Can you make sense of the three methods to work out what fraction of the total area is shaded?
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problemDoing and undoing
Age5 to 11Challenge level
An investigation looking at doing and undoing mathematical operations focusing on doubling, halving, adding and subtracting. -
problemHyperbolic thinking
Age16 to 18Challenge level
Explore the properties of these two fascinating functions using trigonometry as a guide.