You may also like

problem icon

Rationals Between...

What fractions can you find between the square roots of 65 and 67?

problem icon

Root to Poly

Find the polynomial p(x) with integer coefficients such that one solution of the equation p(x)=0 is $1+\sqrt 2+\sqrt 3$.

problem icon

Consecutive Squares

The squares of any 8 consecutive numbers can be arranged into two sets of four numbers with the same sum. True of false?

Powers of Four

Stage: 4 Short Challenge Level: Challenge Level:1

Note that $4^x+4^x+4^x+4^x = 4 \times 4^x$ = $4^{x+1}$ .

So $x+1=16$, hence $x = 15$

This problem is taken from the UKMT Mathematical Challenges.