Division J - Sample Questions



The questions below are examples of the Division J questions.
For Division S Questions, please click here.

Additional sample questions and problem solving techinques can be found in our resources.



A. (Time: 3 minutes)

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

B. (Time: 5 minutes)

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?

C. (Time: 5 minutes)

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.

D. (Time: 6 minutes)

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?

E. (Time: 6 minutes)

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.

Question E Picture

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