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IMAS 2022 - Middle Primary (Grades 3-4) - Round 2 Question 15

IMAS · IMAS 2022 - Middle Primary (Grades 3-4) - Round 2

Question 15

In how many ways can we obtain a total score of 44 from the table shown, by following the conditions below?

- Start with any unit square of your choice and collect further different three numbers from the other squares which touch at least one selected square by a full side only.
- All the numbers chosen must be different and the number 12 must always be one of them.

Question illustration

The following figures below are two examples. Note that your answer must include both examples.

Question illustration

Answer: There are ______ ways, and the ways are as following:

Question illustration

[The source provides 20 copies of this blank answer board; one reusable copy is shown here.]