You may also like

problem icon

Pebbles

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

problem icon

Adding All Nine

Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some other possibilities for yourself!

problem icon

GOT IT Now

For this challenge, you'll need to play Got It! Can you explain the strategy for winning this game with any target?

Ewa's Eggs

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

 

basket
Tomek accidentally knocked over Ewa's basket of eggs. Wishing to make amends he offers to pay as they are all broken.

Ewa, a mathematician, recognising a fellow mathematician's embarrassment, replies:
"I put the eggs into the basket in groups of 7 and noticed that I could easily have divided them into piles of 2, 3, 4, 5 or 6 and always have one left over."

What should Tomek offer to pay? (Eggs currently cost 95p a dozen)