Combinations

problem

Elf Suits

Age

7 to 11

Challenge level

2 out of 3

If these elves wear a different outfit every day for as many days as possible, how many days can their fun last?
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

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?