Maths Olympiad Prep

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, 2023

Geometry Difficulty 1.4 Junior Find the answer Canada

The vertices of a rectangle have coordinates (1,3)(1,3), (1,1)(1,1), (4,1)(4,1), and (4,3)(4,3), as shown.Figure 0If the rectangle is reflected in the yy-axis, which of the following points is
not a vertex of the reflected rectangle?

Pick one

Solution

Before adding tax, the combined cost of the three items is $4.20+$7.60+$3.20=$15.00\$4.20+\$7.60+\$3.20=\$15.00. The 5% tax on 15.00is15.00 is 0.05×0.05\times $15.00=$0.75, and so the total cost of the three items, after tax is added, is

Figure for this problem$15.00+$0.75=$15.75. Note that we could have calculated the 5% tax on each individual item, however doing so is less efficient than calculating tax on the

Figure for this problem15.00
total.

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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.