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

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12 Practice Tests for the SAT 212 Practice Test Two Answers an d Exp l anations Getting to t h e Answer: Blue 5,700 Chairs with armrests Green 6,500 - 5,700 = 800 Total 20,000 - 13,500 = 6,500 10. 180 Chairs without armrests 13,500 Total 16,200 3,800 16,200 + 3,800 = 20,000 Difficu l ty: Low Strategic A d vice: The first step to solving any math question should be to ask yourself, "What am I trying to solve for?" Asking this question here will get you a long way toward solving this problem. Getting to t h e Answer: a = 30 percent of 400 = 400 x 0.3 = 120 b = 40 percent of a = 0.4 x 120 = 48 c = 25 percent of b = 0.25 x 48 = 12 a + b + c = 120 + 48 + 12 = 180 11. ]_ 5 Difficu l ty: Low Strategic A d vice: Whenever you are given two fractions which are equal to each other, think of cross-multiplying. Getting to t h e Answer: lOq= 14 q = ..!1 = 10 1_ 5 12. 3 Difficu l ty: Medium Strategic A d vice: Figure out additional information based on what is given and interpret the problem to understand the "question behind the question:' Getting to t h e Answer: Line I is tangent to the circle, and line m intersects I at the point of tangency. Therefore, I is perpendicular to m. If you extend lines I and n so that they intersect, you can form a 30-60-90 triangle, where line n extended is the hypotenuse. You are told that line n extended to the intersection with line I measures 6. In other words, the hypotenuse is 6. The measures of the sides of a 30-60-90 triangle are (x, x\/3, 2x). In this case, 6 = 2x, so x = 3 =the short side of the triangle. In this case, the short side is OP. This is also the radius of the circle, which is what the question asks for. 26 13. 5.2 or 5 Difficu l ty: Medium Strategic A d vice: When the SAT puts a problem in words, try to translate it into numbers. After that, simply solve carefully. Getting to t h e Answer: 2 · 5 o 2 is 2 = = 0.2. A t 1s va ue to 5. 5 + 0.2 = S S f l · 2 ( l ) l dd h. 1 26 5.2, or 5 . 14. 715 Difficu l ty: Medium Strategic A d vice: With all math questions, especially percent questions, be sure you are answering the correct question. Getting to t h e Answer: Total up the percentage of respondents who commute more than 0.5 hours and then find the total respondents. 300/o + 200/o + 150/o = 650/o 15. 50 1,200 - l 00 = l , 100 l, 100 x 0.65 = 715 Difficu l ty: Medium Strategic A d vice: Questions such as this one require you to know certain facts or formulas. In this case, you need to know that the sum of supplementary angles is 180° and that the sum of the interior angles of a quadrilateral is 360°. Getting to t h e Answer: First, find the angle supplementary to x (called x'), then use it to find x. You can find x' because every quadrilateral has 360 degrees; just sum up the other three angles and subtract them from 360. x' = 360 - (1 10 + 75 + 45) x ' = 360 - 230 x' = 130 Since x is supplementary to x ' , we know that 180 - x' = x. So:
12 Practice Tests for the SAT Practice Test Two Answers an d Exp l anations l13 I 180-130=X 50=x 16. 115 Difficu l ty: High Strategic A d vice: The tangent line here forms the third side of a triangle. Since the shaded portion is exactly t the area of circle A, LBAD = go0• Use this information to find LBDA. Find LCDE by using the fact that LCDE and LBDA are supplementary. Getting to t h e Answer: LBDA = 180° - 25° - go0 = 65° LCDE = 180°-65°= 115° 17. 10 Difficu l ty: High Strategic A d vice: The shaded region is just the area of the larger triangle minus the area of the smaller triangle. Set up an equation using this information. Before you grid in your answer, make sure you're answering the right question (height of smaller triangle). Getting to t h e Answer: Large triangle: base = 15; height =x + 6 Small triangle: base = g; height =x Shaded area = large area - small area = CCD
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