Indices

problem

Largest Expression

Age

14 to 16

Challenge level

Which of these five algebraic expressions is largest, given $x$ is between 0 and 1?
problem

Maundy Money

Age

11 to 14

Challenge level

How much money did the Queen give away in pence as a power of 2?
problem

Age of Augustus

Age

11 to 14

Challenge level

The English mathematician Augustus de Morgan has given his age in algebraic terms. Can you work out when he was born?
problem

Rachel's Problem

Age

14 to 16

Challenge level

Is it true that $99^n$ has 2n digits and $999^n$ has 3n digits? Investigate!
problem

Lastly - Well

Age

11 to 14

Challenge level

What are the last two digits of 2^(2^2003)?
problem

The Public Key

Age

16 to 18

Challenge level

Find 180 to the power 59 (mod 391) to crack the code. To find the secret number with a calculator we work with small numbers like 59 and 391 but very big numbers are used in the real world for this.
problem

eNRICHing Experience

Age

14 to 16

Challenge level

Find the five distinct digits N, R, I, C and H in the following nomogram
problem
Favourite

Perfectly Square

Age

14 to 16

Challenge level

The sums of the squares of three related numbers is also a perfect square - can you explain why?
problem

Really Mr. Bond

Age

14 to 16

Challenge level

Can you explain what's happening with these numbers?
problem
Favourite

Mega Quadratic Equations

Age

14 to 18

Challenge level

What do you get when you raise a quadratic to the power of a quadratic?