Combinations

problem
Octa space

Age

7 to 11

Challenge level

In the planet system of Octa the planets are arranged in the shape of an octahedron. How many different routes could be taken to get from Planet A to Planet Zargon?
problem
Almost constant digits

Age

11 to 14

Challenge level

How many 10-digit numbers containing only 1s, 2s and 3s can you write?
problem
Homes

Age

5 to 7

Challenge level

Six new homes are being built! They can be detached, semi-detached or terraced houses. How many different combinations of these can you find?
problem
Let's investigate triangles

Age

5 to 7

Challenge level

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?
problem
Red express train

Age

5 to 7

Challenge level

The Red Express Train usually has five red carriages. How many ways can you find to add two blue carriages?
problem
Two dice

Age

5 to 7

Challenge level

Find all the numbers that can be made by adding the dots on two dice.
problem
A city of towers

Age

5 to 7

Challenge level

In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?
problem
The school trip

Age

5 to 7

Challenge level

Lorenzie was packing his bag for a school trip. He packed four shirts and three pairs of pants. "I will be able to have a different outfit each day", he said. How many days will Lorenzie be away?
problem
Fair exchange

Age

5 to 7

Challenge level

In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
problem
What shape and colour?

Age

5 to 7

Challenge level

Can you fill in the empty boxes in the grid with the right shape and colour?