Reasoning, convincing and proving

There are 458 NRICH Mathematical resources connected to Reasoning, convincing and proving
Anti-Magic Square
problem

Anti-Magic Square

Age
11 to 14
Challenge level
filled star filled star empty star
You may have met Magic Squares, now meet an Anti-Magic Square. Its properties are slightly different - can you still solve it?
Exponential intersection
problem

Exponential intersection

Age
16 to 18
Challenge level
filled star filled star filled star
Can the pdfs and cdfs of an exponential distribution intersect?
Next-door Numbers
problem

Next-door Numbers

Age
5 to 7
Challenge level
filled star empty star empty star
Florence, Ethan and Alma have each added together two 'next-door' numbers. What is the same about their answers?
Number Lines in Disguise
problem

Number Lines in Disguise

Age
7 to 14
Challenge level
filled star filled star empty star
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
More Number Sandwiches
problem

More Number Sandwiches

Age
11 to 16
Challenge level
filled star empty star empty star
When is it impossible to make number sandwiches?
Statement Snap
problem

Statement Snap

Age
7 to 14
Challenge level
filled star empty star empty star
You'll need to know your number properties to win a game of Statement Snap...
Making Pathways
problem

Making Pathways

Age
7 to 11
Challenge level
filled star empty star empty star
Can you find different ways of creating paths using these paving slabs?
Placeholder: several colourful numbers
problem

Triangular intersection

Age
14 to 16
Challenge level
filled star filled star filled star
What is the largest number of intersection points that a triangle and a quadrilateral can have?