Exploring and noticing
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problemDo Rare Events Happen?
I'd be very surprised if I had three children all with the same birthday, but I read in the paper that it happened to one family...
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problemSums of Pairs
Jo has three numbers which she adds together in pairs. When she does this she has three different totals: 11, 17 and 22 What are the three numbers Jo had to start with?”
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problemCircumference Angles
Can you prove the angle properties described by some of the circle theorems?
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gameLast Biscuit
Can you find a strategy that ensures you get to take the last biscuit in this game?
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problemThe Perforated Cube
A cube is made from smaller cubes, 5 by 5 by 5, then some of those cubes are removed. Can you make the specified shapes, and what is the most and least number of cubes required ?
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problem12345
Repeat a pattern of numbers to form a larger number. Can you find the sum of all the digits?
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problemDay of the Triffids
Jasmine buys three different types of plant. How many triffids did she buy?
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problemMaking Tracks
A bicycle passes along a path and leaves some tracks. Is it possible to say which track was made by the front wheel and which by the back wheel?