Multiplication and division

problem

Special 24

Age

7 to 11

Challenge level

Find another number that is one short of a square number and when you double it and add 1, the result is also a square number.
problem

What Two ...?

Age

7 to 11

Challenge level

56 406 is the product of two consecutive numbers. What are these two numbers?
problem

Zargon Glasses

Age

7 to 11

Challenge level

Zumf makes spectacles for the residents of the planet Zargon, who have either 3 eyes or 4 eyes. How many lenses will Zumf need to make all the different orders for 9 families?
problem

Arranging the Tables

Age

7 to 11

Challenge level

There are 44 people coming to a dinner party. There are 15 square tables that seat 4 people. Find a way to seat the 44 people using all 15 tables, with no empty places.
problem

Next Number

Age

7 to 11

Challenge level

Find the next number in this pattern: 3, 7, 19, 55 ...
problem

Pies

Age

7 to 11

Challenge level

Grandma found her pie balanced on the scale with two weights and a quarter of a pie. So how heavy was each pie?
problem

Rocco's Race

Age

7 to 11

Challenge level

Rocco ran in a 200 m race for his class. Use the information to find out how many runners there were in the race and what Rocco's finishing position was.
problem

Throw a 100

Age

7 to 11

Challenge level

Can you score 100 by throwing rings on this board? Is there more than way to do it?
problem

A-Magical Number Maze

Age

7 to 11

Challenge level

This magic square has operations written in it, to make it into a maze. Start wherever you like, go through every cell and go out a total of 15!
problem

Buckets of Thinking

Age

7 to 11

Challenge level

There are three buckets each of which holds a maximum of 5 litres. Use the clues to work out how much liquid there is in each bucket.