Conjecturing and generalising

There are 405 NRICH Mathematical resources connected to Conjecturing and generalising
Hollow Squares
problem
Favourite

Hollow squares

Age
14 to 16
Challenge level
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Which armies can be arranged in hollow square fighting formations?
Difference of Two Squares
problem
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Difference of two squares

Age
14 to 16
Challenge level
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What is special about the difference between squares of numbers adjacent to multiples of three?
Forwards Add Backwards
problem
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Forwards add backwards

Age
11 to 14
Challenge level
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What happens when you add a three digit number to its reverse?
Reasoned Rounding
problem
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Reasoned rounding

Age
7 to 14
Challenge level
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Four strategy dice games to consolidate pupils' understanding of rounding.
Double or Halve?
problem
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Double or halve?

Age
5 to 7
Challenge level
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Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?
Doubling Fives
problem
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Doubling fives

Age
5 to 7
Challenge level
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This activity focuses on doubling multiples of five.

Five Steps to 50
problem
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Five steps to 50

Age
5 to 7
Challenge level
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Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?
Division Rules
problem
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Division rules

Age
7 to 11
Challenge level
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This challenge encourages you to explore dividing a three-digit number by a single-digit number.
Unit Differences
problem
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Unit differences

Age
5 to 7
Challenge level
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This challenge is about finding the difference between numbers which have the same tens digit.