'How many ways' investigations

Three boxes and 20 buttons. How many different ways can the buttons be put in the boxes so that each box has an even number?

How many presents could each of the three girls have got from a total of 20. They all got an even number of presents!

Investigating combinations of packs of toy farm animals.

Investigating combinations of fruit.

How many ways can the balloons be coloured? A logical thinking exercise.

Three very athletic runners sharing a 19 mile relay. They each run an odd number of miles. How could they do this?

How many ways can the apples be put in the boxes so that there is an even number of apples in each box?

Mini investigations into how many different ways totals can be made from three numbers.