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# Answer Explanations for: ACT December 2012, Form 71A

This document contains detailed answer explanations to every question from the December 8, 2012 ACT, Form 71A. Many Mathematics and English explanations also link to content pages that explain the relevant grammatical and mathematical concepts in greater detail. Please note that this document contains the explanations only, and does not provide the test questions themselves; it is a tool intended for use with a copy of your test that you purchased from the ACT via the Test Information Release (TIR). The following are sample explanations:

English
4) F) This is a transition question, so you should read the previous sentence and the sentence containing the underlined portion without reading any of the transition words, so you can think clearly about how they are related. Here, the previous sentence describes a benefit that the actors would enjoy, while the sentence containing the underlined portion describes a benefit the farmers would enjoy. Because these benefits would be enjoyed simultaneously, answer choice A creates the most logical transition. G is incorrect because it is a contradictory transition, and the two sentences are not in contradiction. H incorrectly indicates that the second sentence describes a specific “instance,” or example, of a generalization made in the first sentence. J incorrectly indicates that the second sentence restates or clarifies the first sentence.

Mathematics
5) B) When the problem involves similar figures or a recipe, set up a proportion. When doing so, make sure your units line up on both sides. In other words, this/that = this/that. In this case, (inches)/(miles) = (inches)/(miles), so (1/4 inches)/(10 miles) = (x inches)/(250 miles). Cross multiply to get (1/4)(250) = 10x 62.5 = 10x x = 6.25 = 6 1/4. Alternatively, you could have simply realized that 250 is 25 times 10, so your answer must be equal to 25 times 1/4. See ratios and proportions.