Reasoning, convincing and proving

problem
Prime sequences

Age

16 to 18

Challenge level

This group tasks allows you to search for arithmetic progressions in the prime numbers. How many of the challenges will you discover for yourself?
problem
Integration matcher

Age

16 to 18

Challenge level

Can you match the charts of these functions to the charts of their integrals?
problem
Power mad!

Age

11 to 14

Challenge level

Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.
$Mind your \Ps and \Qs$

problem
Mind your Ps and Qs

Age

16 to 18

Challenge level

Sort these mathematical propositions into a series of 8 correct statements.
problem
Making sixty

Age

14 to 16

Challenge level

Why does this fold create an angle of sixty degrees?
problem
Two-digit targets

Age

5 to 7

Challenge level

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?
problem
NOTty logic

Age

16 to 18

Challenge level

Have a go at being mathematically negative, by negating these statements.
problem
Direct logic

Age

16 to 18

Challenge level

Can you work through these direct proofs, using our interactive proof sorters?
problem
Contrary logic

Age

16 to 18

Challenge level

Can you invert the logic to prove these statements?
problem
Iffy logic

Age

14 to 18

Challenge level

Can you rearrange the cards to make a series of correct mathematical statements?