Problem of the Week
Below is a selection of problems that are representative of the type of questions included in the APSMO papers. Please note that the solutions provided are not comprehensive and are intended to provide an overview only. If you would like more comprehensive examples of questions and solutions, please purchase one of our books or register for a program.
I’ve chosen 3 of these numbers: 1,2,3,4,5,6,7,8. See if you can find them.
My numbers add up to 7.
One of my numbers is 4.
Which 3 numbers did I choose?
My piggybank was empty but I have just put in 50c.
I only put in 10c coins or 20c coins.
What different combinations of coins might be inside?
At the beach, Jonah collected 15 shells.
Hugo collected the same number of shells as Ava.
When they combined the shells and shared them evenly, each child got 11 shells.
How many shells did Ava collect?
Orange Slices
Your team has won the championship!
You are excited but exhausted.
There are slices of orange to share!
If the slices are shared equally between the players, everyone gets 4 slices.
However, if they are shared equally between the players, the coach and
the team manager, everyone gets 3 slices.
How many players are on the team?