Combinations

Ben has five coins in his pocket. How much money might he have?

There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?

Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?

Find all the numbers that can be made by adding the dots on two dice.

Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.

Here are some rods that are different colours. How could I make a yellow rod using white and red rods?

How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?

Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?