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

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998 12 Practice Tests for the SAT Practice Test Eleven Answers and Explanations 11 9. 2.75 or 4 Difficulty: Medium Strategic Advice: Many SAT questions require multiple steps. In this case, first find the value of d from the second equation, then use that in the first equation to find the value of h. Getting to the Answer: 4d = 10 d =J.Q=2 4 2 d+ 2h = 8 +2h = 2 8 2h = 2 2 2 h = 4 10. 6 Difficulty: Low _ 2_ = _!_ _!_ Strategic Advice: First, subtract the fixed cost from the total amount Mr. Jones was charged to find the amount he spent on books. Then, divide this by the cost of one book to find the number of books he ordered. Getting to the Answer: 62 -35 =27 27 = 4.50 6 11. 12 Difficulty: Medium Strategic Advice: Sketching a diagram will often help you visualize geometry problems. Think about the relationship between the lengths of the different line segments in this problem. Getting to the Answer: Since C is the midpoint of segment AO, which is 16 cm long, segments AC and CO must each be 8 cm long. B is the midpoint of AC, so AB and BC are each 4 cm long. Segment BO is 4 + 8 = 1 2 cm long. 12. 3 Difficulty: Medium Strategic Advice: This particular problem can easily be solved by Picking Numbers. Since the digits of number M are the same, there are only 9 possible numbers to try. On top of that, you can quickly see that for any A > 3 , the product will be a four-digit number, ruling out 3-9. Try starting with 2 or 1. Getting to the Answer: 11 --2Ll.l. 121 1 + 2 = 3 13. 1,000 Difficulty: Medium Strategic Advice: This question deals with finding the number of possible combinations of two objects. No matter which entree Mary selects, she could order any of the 40 side dishes. Getting to the Answer: 25 x 40 = 1,000 14. 25 Difficulty: Medium Strategic Advice: One approach to this problem would be to draw a calendar, placing the first of the month on Monday and counting the days between that and the last Friday. While this technique doesn't take too long on this particular problem, it can be cumbersome when dealing with larger numbers. A faster approach is shown below. Getting to the Answer: The last Friday in the month is four days after the last Monday. The last Monday in the month is some multiple of seven days after the first Monday. Therefore, the last Friday is 7n + 4 days after the first Monday, where n is an integer. The largest possible value of 7n + 4 that is less than 31 is 25. 15. 812 Difficulty: Medium Strategic Advice: Although you could find the value of 29! and the value of 27!, this would be extremely
12 Practice Tests for the SAT Practice Test Eleven Answers and Explanations I 999 time-consuming. Many SAT problems can be done in both a time-consuming manner and a faster way. Try to find parts of the problem that cancel out to save yourself time and effort. 29! = 29 x 28 x 27! = 29 x 28 = 812 27! 27! 16. 30 Difficulty: Medium Strategic Advice: Many of the more difficult geometry questions on the SAT can be simplified by noticing relationships between different parts of the diagram. In this case, knowing the relationship between the area of the shaded sector and the area of the circle as a whole gives us the measure of the angle between AD and CF. This in turn gives us the measure of q. Since the shaded area is t the area of the circle, the angle between AD and CF is t of 360 degrees, or 60 degrees. The angles along CF add up to 1 80 degrees, so 60 + 90 + q = 180 and q = 30. 17. 6 Difficulty: Medium Strategic Advice: The median of a set of numbers is the number in the middle when the numbers are arranged in · increasing order. Getting to the Answer: These numbers should be in the order tx, 3x, and Sx. The median is 3x. 3x = 18 x=6 18. 210 Difficulty: Medium Strategic Advice: You probably already know that the interior angles of a triangle add up to 1 80 degrees and that the angles around a given point add up to 360 degrees. You can use these two pieces of information to find the sum of the interior angles of any convex multisided figure. You can also memorize the formula derived from the approach outlined, which is l 80n - 360 =sum of interior angles, where n is the number of sides. Once you have found the sum of the interior angles of this figure, you need only subtract the known angles to find the sum of a and b. Getting to the Answer: First, divide the figure into a number of triangles that meet at a centra I point: The sum of the interior angles of each triangle is 180 degrees. The angles around the central point (marked by the small circle) add up to 360 degrees. Therefore, the total sum of the interior angles of the six-sided polygon is 1 80(6) - 360 = 720 720 - (150 + 120 + 140 + 100) = 210 SECTION 7 1. D Difficulty: Low The word in the first blank has to be similar in meaning to controversy: (C) belligerent, (D) scandalous, and (E) provocative would fit. The band wouldn't do this if they didn't find that the strategy worked, so (B), rewarding, and (D), effective, fit for the second blank. Only (D) fits for both blanks. 2. B Difficulty: Low The correct answer is implied by numerous scribbled edits that cover even his supposed final drafts. In other words, Joyce attached great importance to (B), revision.
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