Combinations

problem

Bean Bags for Bernard's Bag

Age

7 to 11

Challenge level

2 out of 3

How could you put eight bean bags in the hoops so that there are four in the blue hoop, five in the red and six in the yellow? Can you find all the ways of doing this?
problem

Delia's Routes

Age

7 to 11

Challenge level

2 out of 3

A little mouse called Delia lives in a hole in the bottom of a tree.....How many days will it be before Delia has to take the same route again?
problem

Hubble, Bubble

Age

7 to 11

Challenge level

2 out of 3

Winifred Wytsh bought a box each of jelly babies, milk jelly bears, yellow jelly bees and jelly belly beans. In how many different ways could she make a jolly jelly feast with 32 legs?
problem

Six Is the Sum

Age

7 to 11

Challenge level

2 out of 3

What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?
problem

Two Egg Timers

Age

7 to 11

Challenge level

2 out of 3

You have two egg timers. One takes 4 minutes exactly to empty and the other takes 7 minutes. What times in whole minutes can you measure and how?
problem

Home City

Age

7 to 11

Challenge level

2 out of 3

Use the clues to work out which cities Mohamed, Sheng, Tanya and Bharat live in.
problem

Child's Play

Age

7 to 11

Challenge level

2 out of 3

A toy has a regular tetrahedron, a cube and a base with triangular and square hollows. If you fit a shape into the correct hollow a bell rings. How many times does the bell ring in a complete game?
problem

Prison Cells

Age

7 to 11

Challenge level

2 out of 3

There are 78 prisoners in a square cell block of twelve cells. The clever prison warder arranged them so there were 25 along each wall of the prison block. How did he do it?
problem

Zargon Glasses

Age

7 to 11

Challenge level

2 out of 3

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

Team Scream

Age

7 to 11

Challenge level

2 out of 3

Seven friends went to a fun fair with lots of scary rides. They decided to pair up for rides until each friend had ridden once with each of the others. What was the total number rides?