Combinations

problem

Beads

Age

7 to 11

Challenge level

2 out of 3

Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
problem

Semaphore Signals

Age

7 to 11

Challenge level

2 out of 3

Semaphore is a way to signal the alphabet using two flags. You might want to send a message that contains more than just letters. How many other symbols could you send using this code?
problem

Chocoholics

Age

7 to 11

Challenge level

2 out of 3

George and Jim want to buy a chocolate bar. George needs 2p more and Jim need 50p more to buy it. How much is the chocolate bar?
problem

Move a Match

Age

7 to 11

Challenge level

2 out of 3

How can you arrange these 10 matches in four piles so that when you move one match from three of the piles into the fourth, you end up with the same arrangement?
problem

Button-Up Some More

Age

7 to 11

Challenge level

2 out of 3

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?
problem

Calcunos

Age

7 to 11

Challenge level

3 out of 3

If we had 16 light bars which digital numbers could we make? How will you know you've found them all?
problem

Ice Cream

Age

7 to 11

Challenge level

3 out of 3

In the café, your ice cream selection can't include a combination that someone else has chosen. What could these seven children have chosen?
problem

Penta Place

Age

7 to 11

Challenge level

3 out of 3

Penta people, the Pentominoes, always build their houses from five square rooms. I wonder how many different Penta homes you can create?
problem

On Target

Age

7 to 11

Challenge level

3 out of 3

You have 5 darts and your target score is 44. How many different ways could you score 44?
problem

Tetrahedron Faces

Age

7 to 11

Challenge level

3 out of 3

One face of a regular tetrahedron is painted blue and each of the remaining faces are painted using one of the colours red, green or yellow. How many different possibilities are there?