Transum Mathematics Puzzles

Work out the cost of the most expensive gift given the mean cost and other clues.

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

Find two whole numbers, not containing zeros, that when multiplied, give a million.

A dartboard splits in two. One piece's numbers sum to twice the other's. Where's the break?

Work out the range of the ages of the cousins given the average clues.

If x and y are positive integers, what is the sum of x and y?

x squared equals sixteen to the power of x. Find the value of x.

Write a number in words in the gap in the sentence that will make the statement true.

Work out how many children there were eating cupcakes from the given clues.

Can you make 100 from four sevens and a zero?

Work out Mr Wheeler's average speed given the palindromic numbers seen on his odometer.

Work out the teacher's favourite word from the statements made by the clever students.

How many ornaments are on the tree and how many of each colour are there?

Why are the probabilities the same of picking two balls with an odd sum from two different pots?

What is the best way to settle the debts of the four friends?

What is the correct result of the calculation that has become a viral talking point on the internet?

Work out the length of my holiday from the clues about the weather.

What four weights would enable me to use the balance scales to weigh any object from 1 to 40 pounds?

Arange all the natural numbers in alphabetical order - which number comes second?

Number the faces of the cubes to make strange dice with a minimum face sum.