Working systematically
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problemTea Cups
Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.
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problemMore Children and Plants
This challenge extends the Plants investigation so now four or more children are involved. -
problemMore Plant Spaces
This challenging activity involves finding different ways to distribute fifteen items among four sets, when the sets must include three, four, five and six items.
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problemBuilding With Longer Rods
A challenging activity focusing on finding all possible ways of stacking rods.
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problemColour in the Square
Can you put the 25 coloured tiles into the 5 × 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?
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problemCentral Sum
Can you find numbers between 100 and 999 that have a middle digit equal to the sum of the other two digits?
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problemMedal Muddle
Countries from across the world competed in a sports tournament. Can you devise an efficient strategy to work out the order in which they finished?
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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.