Working systematically

There are 549 NRICH Mathematical resources connected to Working systematically
Crossing the Town Square
problem

Crossing the Town Square

Age
7 to 11
Challenge level
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This tricky challenge asks you to find ways of going across rectangles, going through exactly ten squares.
Stage 5 Cipher Challenge
problem

Stage 5 Cipher Challenge

Age
16 to 18
Challenge level
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Can you crack these very difficult challenge ciphers? How might you systematise the cracking of unknown ciphers?
Advent Calendar 2011 - Secondary
problem

Advent Calendar 2011 - Secondary

Age
11 to 18
Challenge level
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Advent Calendar 2011 - a mathematical activity for each day during the run-up to Christmas.
Building with longer rods
problem

Building with longer rods

Age
7 to 14
Challenge level
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A challenging activity focusing on finding all possible ways of stacking rods.
Building with rods
problem

Building with rods

Age
7 to 11
Challenge level
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In how many ways can you stack these rods, following the rules?
More plant spaces
problem

More plant spaces

Age
7 to 14
Challenge level
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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.
Fifteen cards
problem

Fifteen cards

Age
7 to 11
Challenge level
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Can you use the information to find out which cards I have used?
More children and plants
problem

More children and plants

Age
7 to 14
Challenge level
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This challenge extends the Plants investigation so now four or more children are involved.
Summing Consecutive Numbers
problem

Summing Consecutive Numbers

Age
11 to 14
Challenge level
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15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?