Reasoning, convincing and proving

There are 458 NRICH Mathematical resources connected to Reasoning, convincing and proving
Two-digit targets
problem

Two-digit targets

Age
5 to 7
Challenge level
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You have a set of the digits from 0 to 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?
NOTty logic
problem

NOTty logic

Age
16 to 18
Challenge level
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Have a go at being mathematically negative, by negating these statements.
Direct logic
problem

Direct logic

Age
16 to 18
Challenge level
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Can you work through these direct proofs, using our interactive proof sorters?
Contrary Logic
problem

Contrary Logic

Age
16 to 18
Challenge level
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Can you invert the logic to prove these statements?
Iffy logic
problem

Iffy logic

Age
14 to 18
Challenge level
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Can you rearrange the cards to make a series of correct mathematical statements?
Air Nets
problem

Air Nets

Age
7 to 18
Challenge level
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Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
Magic Vs
problem

Magic Vs

Age
7 to 11
Challenge level
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Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?
Crossed Ends
problem

Crossed Ends

Age
11 to 14
Challenge level
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Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?
Out of Line
problem

Out of Line

Age
11 to 14
Challenge level
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Fill in the grid with A-E like a Sudoku. Which letter is in the starred square?
Quiz Questions
problem

Quiz Questions

Age
11 to 14
Challenge level
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Jack does a 20-question quiz. How many questions didn't he attempt?