Working systematically
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problemCountries from across the world competed in a sports tournament. Can you devise an efficient strategy to work out the order in which they finished? -
problemCayley
The letters in the following addition sum represent the digits 1 ... 9. If A=3 and D=2, what number is represented by "CAYLEY"?
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problemFootball Crazy Hockey Mad
In a league of 5 football teams which play in a round robin tournament show that it is possible for all five teams to be league leaders.
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problemMultiply the Addition Square
If you take a three by three square on a 1-10 addition square and multiply the diagonally opposite numbers together, what is the difference between these products. Why?
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problemOranges and Lemons, Say the Bells of St Clement's
Bellringers have a special way to write down the patterns they ring. Learn about these patterns and draw some of your own.
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problemTriangular Clock
Trinni rearanges numbers on a clock face so each adjacent pair add up to a triangle number... What number did she put where 6 would usually be? -
problemMini Kakuro
The sum of each column and row in this grid give the totals as shown. What number goes in the starred square?
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problemAce, Two, Three...
Can you picture how to order the cards to reproduce Charlie's card trick for yourself?
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problemAdvent Sudoku
Rather than using the numbers 1-9, this sudoku uses the nine different letters used to make the words "Advent Calendar".
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problemColour Islands Sudoku
An extra constraint means this Sudoku requires you to think in diagonals as well as horizontal and vertical lines and boxes of nine.