12.Practice.Tests.for.the.SAT_2015-2016_1128p

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12 Practice Tests for the SAT 586 Practice Test Six Answers and Explanations Getting to the Answer: Total cases in 1960 (in thousands) : 200 + 150 + 50 + 60 = 460 Total cases in 1970 (in thousands): 50 + 40 + 5 + 20 = 1 15 Actual change = 460 - 11 5 = 345 Percent change = cig x 100% = 0.75 x 100% 11. A Difficulty: High Strategic Advice: The key to most average questions is to know how to use the average formula. Getting to the Answer: "The average (arithmetic mean) of a, b, and c is p," translates to 0 + + c = p. ''The average of a, b, c, and d" translates to o+b+c+d = 7 . 4 Solve the first equation for a + b + c: a +b +c=3p Now plug this into the second equation: a+ b + c + d _ 3p + d - 4 4 12. c Difficulty: Medium , W IC IS . h. h . (A) Strategic Advice: When the SAT presents measurements in different units, convert everything to the same unit of measure and pay attention to the question that is asked. Getting to the Answer: First, convert miles per hour to miles per minute: to do this, divide by 60. 4,680 =78 60 So the plane can travel 78 miles per minute. Ten seconds is i of a minute, so divide 78 by 6 to find the number of miles the plane can travel in 1 O seconds: 78 = 13 6 13. E Difficulty: High Strategic Advice: The SAT will never expect you to compute large sums, even if the testmakers assume you know how to use a calculator. Always look for the shortcut. Getting to the Answer: The sum will stay negative as long as you keep adding negative numbers. When will it start going positive? When the positives cancel out the negatives. In other words, -33 will cancel out +33, -32 will cancel out +32, and so forth. All the consecutive integers from -33 to +33 (there's 67 of them-don't forget O!) will add to zero, and then adding the next integer, 34, will make the sum 34. So there will be 68 consecutive integers, or (E). 14. c Difficulty: High Strategic Advice: When extra information is given in the question stem, fill in what you know and work from there. Getting to the Answer: Fill in the information for one triangle. One-half of the triangle forms a 5: 12: 13 triangle. Thus, the height is 12, and the area of one triangle = x 12 x 1 0 = 60. Since the parallelogram is made up of two triangles, the total area is 2 x 60 = 120. 15. c Difficulty: High Strategic Advice: Don't get thrown off by complex equations and symbols you don't recognize. Once you get past the notation, this is a simple plug-in problem. Getting to the Answer: 10 •37• = = v'36 =6 1tt 5 1tt = v'S=l = v'4 =2 6-2=4 12 1 3
12 Practice Tests for the SAT Practice Test Six Answers and Explanations 587 I 16. c Difficulty: High Strategic Advice: Visualizing a three-dimensional diagram can be difficult. Redraw this diagram if necessary. Be sure to label what you know as you work through the problem. Getting to the Answer: B @jJ y F We're essentially trying to work out two Pythagorean theorems, once for the XF base of the cube and once again for BF. Looking at the base of the cube, since XY and YF are both 3, the base forms a 45-45-90 right triangle with sides in the ratio of x:x:x\/2 . Therefore, the hypotenuse is 3\/2. Now let's find BF. This diagonal is a hypotenuse of a right triangle with legs of 3 and 3v'2, so let's apply the Pythagorean theorem: 32 + (3\/2)2 = BF2 9 + (9)(2) = Bf2 9 + 18 =BF2 27 =BF2 BF=Yn =V9V3 =3v3 SECTION 9 1. B Difficulty: Medium Make sure that transition words and phrases correctly establish the relationship between the ideas they connect. This sentence describes a cause (the Internet's enabling communication in a cost-effective way) and its effect (the Internet's usefulness). Choice (B) correctly expresses this relationship. Choices (A) and (D) reverse the cause and effect. Choice (C) expresses a contrast that is inappropriate in context. In (E), the plural pronoun they does not agree with its singular antecedent, the Internet. 2. A Difficulty: Medium Being methodical about eliminating wrong answer choices will help you spot sentences that are correct as written. This sentence contains no error. Choice (B) is incorrect grammatical structure. Choices (C), (D), and (E) are unnecessarily wordy. 3. D Difficulty: Medium The gerund (-ing) verb form can never be the main verb in a sentence. This sentence is a fragment. Choice (D) corrects it by replacing the gerund with a predicate verb form, promises. Choice (B) does not address the error. Choice (C) is incorrect grammatical structure. Choice (E) leaves the meaning of the sentence incomplete. 4. D Difficulty: Medium Look for the most concise choice that doesn't violate grammatical rules or the alter the sentence's original meaning. Choice (D) expresses all of the meaning of the original sentence without introducing any additional errors. In (B), the use of both generally and mostly is redundant. Choice (C) is awkward and uses a plural verb, are, with a singular subject, sleep. Choice (E) is idiomatically incorrect. 5. D Difficulty: Medium Items in a series or list must be presented in parallel form. The women are becoming specialists, not specialties. Choice (D) corrects the error; none of the other choices do so. 6. c Difficulty: Medium One way to correct a run-on sentence is to make one of the clauses subordinate. Choice (C) corrects the run-on by making the second independent clause dependent. Choice (B) is incorrect grammatical structure. Choice (D) merely joins the clauses with and; while this is not technically a runon, it is not considered good SAT style. Choice (E) does not address the error.
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