Maths Olympiad Prep

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, 2016

Algebra Difficulty 1.2 Junior Find the answer Canada

If x=3x=3, y=2xy=2x, and z=3yz=3y, then the average of xx, yy and zz is

Pick one

Solution

Since there are 100 cm in 1 m, then 1 cm is 0.01 m. Thus, 3 cm equals 0.03 m.

Since there are 1000 mm in 1 m, then 1 mm is 0.001 m. Thus, 5 mm equals 0.005 m.

Therefore, 2 m plus 3 cm plus 5 mm equals 2+0.03+0.005=2.0352+0.03+0.005 = 2.035 m.

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