Maths Olympiad Prep

Library / /71 of 213

, 2015

Algebra Difficulty 1.3 Junior Find the answer Canada

At the beginning of the summer, Aidan was 160 cm tall. At the end of the summer, he measured his height again and discovered that it had increased by 5%5\%. Measured in cm, what was his height at the end of summer?

Pick one

Solution

The average (mean) number of points scored per game multiplied by the number of games played is equal to the total number of points scored during the season.
Therefore, the number of games that Hannah played is equal to the total number of points she scored during the season divided by her average (mean) number of points scored per game, or 312÷13=24312\div13=24.

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.