Conjecturing and generalising

There are 405 NRICH Mathematical resources connected to Conjecturing and generalising
Sums and Differences 2
problem

Sums and differences 2

Age
7 to 11
Challenge level
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Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?
Sums and Differences 1
problem

Sums and differences 1

Age
7 to 11
Challenge level
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This challenge focuses on finding the sum and difference of pairs of two-digit numbers.
Super Computer
problem

Super computer

Age
14 to 16
Challenge level
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What is the units digit of the given expression?
Little Difference
problem

Little difference

Age
14 to 16
Challenge level
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What is the value of $2015 \times 2017 - 2016 \times 2016$?
Journeying in Numberland
problem

Journeying in numberland

Age
7 to 11
Challenge level
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Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.