Maths Olympiad Prep

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, 2026

Algebra Difficulty 1.2 Junior Find the answer Canada

The right side of the equation below represents some number of
44s added together. 43=4+4+4++44^3 = 4 + 4 + 4 + \cdots + 4How many
44s are in the sum?

Pick one

Solution

Evaluated, the left side of the equation is equal to 43=644^3=64. Since 644=16\dfrac{64}{4}=16, then the number of
44s in the sum on the right side of
the equation is 1616.

Want a route through all this instead of an archive? The track puts 2,444 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.