Transum Mathematics Puzzles

Where should the last slice of cake be cut to give two equal pieces?

Calculate the remaining volume of the sphere after a cylindrical hole has been drilled through the centre.

How many different places could the flea find itself after 8 foot-long jumps either north, south, east or west?

How many positive two-digit numbers are there whose square and cube both end in the same digit?

The probability that the next train to leave will be going north is five times the probability that the next train to leave will be going south.

Is it possible to answer the question if Betsy's age is not known?

Work out the combination of the safe given the clues about pairs of numbers.

A puzzle about two digit numbers that can be made from ten different digits.

A brand new puzzle involving the letters in numbers when written as words.

The angles of a triangle are all square numbers. What are they?

What is the probability of the three cars arriving at the road junction not being involved in an accident?

What is the smallest square number (greater than one) that cannot be expressed as the sum of two prime numbers?

Where did the missing pound go in this story about three people visiting a restaurant?

Find how ticks compare to tocks, tacks and tucks from the given information.

A question about indices to get you thinking mathematically at this festive time of year.

What single question could Dec ask Ant to find out what he is thinking?

How far does the bookworm travel on its meal-time journey?

How can the third mathematician be so certain that everyone wants a drink?

If the coin tossing game was cut short how would you share the winnings?

Questions about the letters used to make the natural numbers.