Prime numbers
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problemFavouriteFind the smallest numbers a, b, and c such that: a^2 = 2b^3 = 3c^5 What can you say about other solutions to this problem? -
problemFavouriteFac-Finding
Lyndon chose this as one of his favourite problems. It is accessible but needs some careful analysis of what is included and what is not. A systematic approach is really helpful. -
gameFavouriteDicey Array
Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why?
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problemFavouriteStatement Snap
You'll need to know your number properties to win a game of Statement Snap...
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problemFavouriteRound and Round the Circle
What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.
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problemFavouriteTwo Primes Make One Square
Can you make square numbers by adding two prime numbers together?
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problemFavouriteFactor Lines
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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gameFavouriteFactors and Multiples Game
A game in which players take it in turns to choose a number. Can you block your opponent?
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problemFavouriteHow Much Can We Spend?
A country has decided to have just two different coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?