Combinations

problem

Calcunos

Age

7 to 11

Challenge level

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

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

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

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

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?
problem

Calendar Cubes

Age

7 to 11

Challenge level

Make a pair of cubes that can be moved to show all the days of the month from the 1st to the 31st.
problem

Waiting for Blast Off

Age

7 to 11

Challenge level

10 space travellers are waiting to board their spaceships. There are two rows of seats in the waiting room. Using the rules, where are they all sitting? Can you find all the possible ways?
problem

Wag Worms

Age

7 to 11

Challenge level

When intergalactic Wag Worms are born they look just like a cube. Each year they grow another cube in any direction. Find all the shapes that five-year-old Wag Worms can be.
problem

Penta Primes

Age

7 to 11

Challenge level

Using all ten cards from 0 to 9, rearrange them to make five prime numbers. Can you find any other ways of doing it?
problem

Rod Measures

Age

7 to 11

Challenge level

Using 3 rods of integer lengths, none longer than 10 units and not using any rod more than once, you can measure all the lengths in whole units from 1 to 10 units. How many ways can you do this?