APSMO

• Questions are set at a standard suitable to students at a level equivalent to NSW School Year 5 or 6.


• Competing students must not be older than 12 years of age at the 1st May of the current year and must be in the equivalent of NSW School Year 6 (NZ School Year 7) or below.


• Students from Year 4 or below may enter the Olympiads, however they may find the questions particularly challenging.

• Division J Olympiads

• 1. 259
• 2. $10
• 3. 11
• 4. 9
• 5. 24

What is the value of:
      268 + 1375 + 6179 - 168 - 1275 - 6079 ?

Each of 8 boxes contains one or more marbles. Each box contains a different number of marbles, except for two boxes which contain the same number of marbles.

What is the smallest total number of marbles that the 8 boxes could contain?

Find the whole number which is:
      less than 100;
      a multiple of 3;
      a multiple of 5;
      odd, and such that,
      the sum of its digits is odd.

Takeru has four 1 centimetre long blocks, three 5 centimetre long blocks, and three 25 centimetre long blocks. By joining these blocks to make different total lengths, how many different lengths of at least 1 centimetre can Takeru make?

The figure below is made up of 5 congruent squares. The perimeter of the figure is 72 cm. Find the number of square cm in the area of the figure.