You may also like

problem icon

Double Digit

Choose two digits and arrange them to make two double-digit numbers. Now add your double-digit numbers. Now add your single digit numbers. Divide your double-digit answer by your single-digit answer. Try lots of examples. What happens? Can you explain it?

problem icon

Bang's Theorem

If all the faces of a tetrahedron have the same perimeter then show that they are all congruent.

problem icon

Rudolff's Problem

A group of 20 people pay a total of £20 to see an exhibition. The admission price is £3 for men, £2 for women and 50p for children. How many men, women and children are there in the group?

Weekly Problem 33 - 2008

Short Challenge Level: Challenge Level:1

Quince, quonce, and quance are three types of fruit. Seven quince weigh the same as four quonce, and five quonce weigh the same as six quance.

                           quince and quonce              quonce and quance           
Put the fruit into order of weight, heaviest last.

Click here for a poster of this problem.


If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.



This problem is taken from the UKMT Mathematical Challenges.

View the previous week's solution
View the current weekly problem