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1,001 Questions and Answers for the SAT
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1: Table of Contents
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2: Vocabulary Tips for the SAT
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3: Tricks with Ratios
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4: Multiple
Changes in Percentages
Math
Word Problems for the SAT
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1: Table of Contents
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2: Sample Problems with Percent
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3: Sample Problems with Statistics
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4: Problems with All Variables
1,001
Questions & Answers for the SAT
Sample
1: Table of Contents
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Section: Quantitative 18
Sample
Section: Answer Key Quantitative 18
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Answer
Key for Quantitative
Section 18
1. This problem can
be solved using a proportion. If there are 2 rest areas every 12 miles,
there will be x number of rest areas on 4356/2, or 2178 miles of highway?
2/12 = x/2178, solving for x = 363. Choice C is correct.
2. Group 1 + Group
2 + Neither - Both = 75. In this case, 50 + 30 + Neither - 11 = 75. Neither
= 6. Choice B is correct.
3. The cost of repairs = Total cost of parts + Total cost of labor. The total for the parts is $350 + $150 + $25 = $525. The total cost for labor = ($45) (3.5) = $157.50. The total cost to fix the car is $525 + $157.50 = $682.50, or Choice C.
4. 27 / 550 = 1 / 20. Choice D is correct.
5. Triangles with equal sides and equal angles are congruent. Choice B is correct.
6. We can solve this by plugging in numbers. Let's assume the original square was 10 inches x 10 inches; it's area was therefore 100 square inches. If we add 3 inches to its length and subtract 3 inches from its width, its new area is (10 + 3)(10 - 3) = (13)(7)= 91. This is 9% less, which is answer choice A.
7. A circle that is centered at the origin and passes through point (-7, 0) has a radius of 7. Therefore, its area is 49 , which is answer Choice D.
8. f(-1) = (-1)(-1) -4(-1) + 3 = 1 + 4 + 3 = 8. Choice D is correct.
9. The mean is 39.8, or Choice D.
10. We can solve by using a proportion. 12/500 = x / 14,280. x= 342.7 = 343. Choice C is correct.
11. Choice C is correct, 11/84.
12. The repeating pattern is 04321, which includes 5 digits. The 49th digit is 2, or Choice C.
13. Use the factorial formula to solve: 7! / 3! = (7 x 6 x 5 x 4 x 3 x 2 x 1) / (3 x 2 x 1) = 840. Choice C is correct.
14. (9)(9)(9) (27)(27) = 531,441, which is (729)2. Choice C is correct.
15. m =1/16. Choice A is correct.
16. If x2 + 3x - 18= 0, then (x + 6)(x - 3) = 0. So, x = 3, -6. Choice D is correct.
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