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Working With Luke
In this article for teachers, Liz Woodham describes conversations with Luke, aged 7, as they worked on some mathematics together.
problem
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Olympic Triathlon
14 to 16
Is it the fastest swimmer, the fastest runner or the fastest cyclist who wins the Olympic Triathlon?
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What's Possible?
14 to 16
Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?
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Your Number Was...
11 to 14
Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?
problem
Prime Sequences
16 to 18
This group tasks allows you to search for arithmetic progressions in the prime numbers. How many of the challenges will you discover for yourself?
problem
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Difference of Two Squares
14 to 16
What is special about the difference between squares of numbers adjacent to multiples of three?
problem
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Cyclic Quadrilaterals
11 to 16
Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?
game
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Factors and Multiples Game
7 to 16
A game in which players take it in turns to choose a number. Can you block your opponent?
problem
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Fifteen Cards
7 to 11
Can you use the information to find out which cards I have used?