Conjecturing and generalising

There are 405 NRICH Mathematical resources connected to Conjecturing and generalising
Always, Sometimes or Never?
problem
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Always, sometimes or never?

Age
5 to 11
Challenge level
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Are these statements relating to odd and even numbers always true, sometimes true or never true?

Always, Sometimes or Never? KS1
problem
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Always, Sometimes or Never? KS1

Age
5 to 7
Challenge level
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Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?

Roman Numerals
problem
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Roman numerals

Age
7 to 11
Challenge level
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Can you find some examples when the number of Roman numerals is fewer than the number of Arabic numerals for the same number?
Satisfying Four Statements
problem
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Satisfying four statements

Age
7 to 11
Challenge level
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Can you find any two-digit numbers that satisfy all of these statements?
Build it up
problem
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Build it up

Age
7 to 11
Challenge level
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Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.
Number Lines in Disguise
problem
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Number lines in disguise

Age
7 to 14
Challenge level
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Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
Seeing Rhombuses
problem

Seeing rhombuses

Age
7 to 11
Challenge level
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Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

Celebrate 25 Years of NRICH
game

Celebrate 25 years of nrich

To celebrate NRICH's 25th birthday, why not play this special version of our classic game, Got It? Can you devise a strategy so that you will always win?