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Problem 114

Number theory Difficulty 1.3 Find the answer CEMC Gauss (Grade 8) · Canada · 2012

The number 0.2012 is between

(A) $0$ and $\frac{1}{10}$ (B) $\frac{1}{10}$ and $\frac{1}{5}$ (C) $\frac{1}{5}$ and $\frac{1}{4}$ (D) $\frac{1}{4}$ and $\frac{1}{3}$ (E) $\frac{1}{3}$ and $\frac{1}{2}$

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

Since Bailey scores on 6 of her 8 shots, then she misses on $8-6=2$ shots.
If she misses on $\frac{2}{8}=\frac{1}{4}$ of her shots, then the percentage of shots that she does not score is $\frac{1}{4}\times 100\%=25\%$ .

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