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What Makes a Good Mathematician?

In this article for students, we outline what we believe are the five key ingredients that make a successful mathematician. Where are your strengths? What might you want to work on?

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Student Webinars

Here you will find links to recordings of all NRICH student webinars.

Three gift boxes wrapped in brown paper with ribbons.

problem

More Christmas Boxes

7 to 11

What size square should you cut out of each corner of a 10 × 10 grid to make the box that would hold the greatest number of cubes?

problem

Clever Santa

7 to 11

All the girls would like a puzzle each for Christmas and all the boys would like a book each. Solve the riddle to find out how many puzzles and books Santa left.

problem

Cube Roots

16 to 18

Evaluate without a calculator: (5 sqrt2 + 7)^{1/3} - (5 sqrt2 - 7)^1/3}.

problem

Colour in the Square

7 to 16

Can you put the 25 coloured tiles into the 5 × 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?

Two blank square picture frames on a wooden floor.

problem

Favourite

2-Digit Square

14 to 16

A 2-digit number is squared. When this 2-digit number is reversed and squared, the difference between the squares is also a square. What is the 2-digit number?