APSMO

Problem of the Week: Mystery Number

Find my mystery number on this number chart.

It is less than 40.

Its digit sum is less than 5.

It is more than 5 squared.

The difference between the digits is 2.

For the solution, visit: https://apsmo.edu.au/pow/

Problem of the Week: Bajorian Clock

On a standard circular 12-hour clock, the numerals 12 and 6 are opposite each other.

On the planet Bajor, they use a circulate ten-hour clock with the numerals 1 to 10 equally spaced.

What pair of opposite numerals on a Bajorian clock has a sum of 11?

For the solution, visit: https://apsmo.edu.au/pow/

Problem of the Week: 2 More Pencils

I want to put 2 more pencils on this ruler.

I don't want there to be any space between the pencils.

Which of these pencils can I use?

For the solution, visit: https://apsmo.edu.au/pow/

Problem of the Week: Number Cards

I have four cards that I can arrange in different orders to make four digit numbers.

If I add the largest four digit number that I can make to the smallest four digit number I can make, what will the answer be?

For the solution, visit: https://apsmo.edu.au/pow/

Problem of the Week: Where do they go?

Place these numbers where they belong...

17, 6, 13, 7, 4, 9, 11, 12.

For the solution, visit: https://apsmo.edu.au/pow/

Problem of the Week: 28 Pens

Altogether, Angus, Bella, Carlson and Danni have 28 pens.

Angus has three more pens than Carlson.

Bella has a quarter of the pens.

Carlson and Danni have the same number of pens.

How many pens does Angus have?

For the solution, visit: https://apsmo.edu.au/pow/