GRE-Verbal+Review及答案解析.doc

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1、GRE-Verbal+Review 及答案解析(总分：33.00，做题时间：90 分钟)一、BGeometr/B(总题数：4，分数：25.00)These exercises are designed to help you apply the mathematics concepts just covered. They are not in GRE format, but should help you to identify your areas of strength and weakness.Coordinate GeometryThese questions will test y

2、our knowledge of operations involving the equation and the slope of a line and distance and midpoint formulas.Answer the following questions.（分数：10.00）(1).What is the y-intercept of the line with the equation 2y=4x+6?（分数：1.00）_(2).What is the slope of the line with the equation 3y=-2x+5?（分数：1.00）_(3

3、).What is the slope of the line x=4?（分数：1.00）_(4).What is the equation of a line parallel to y=4x-12 that crosses the y-axis at 3?（分数：1.00）_(5).What is the equation of a line perpendicular to 3x=2-y with the y-intercept 8?（分数：1.00）_(6).What is the distance between the points (3,-4) and (9,4)?（分数：1.0

4、0）_(7).Solve for y if the distance between the two points (2,8) and (-6,y) is 17.（分数：1.00）_(8).What is the midpoint between (12,5) and (10, -7)?（分数：1.00）_(9).Solve for x if the midpoint between the two points (x,1) and (-2, -3) is (5,-1).（分数：1.00）_(10).What is the distance between the points (0,5) a

5、nd (5,0)?（分数：1.00）_Properties and Relations of Plane FiguresThese questions will test your knowledge of operations involving plane figures.Answer the following questions.（分数：5.00）(1).What is the hypotenuse of a right triangle with a base of 9 cm and an area of 54 cm2?（分数：1.00）_(2).What is the area o

6、f a circle with a circumference of 14 inches?（分数：1.00）_(3).If one of the angles of a parallelogram measures 35, what is the sum of the remaining angles?（分数：1.00）_(4).A trapezoid has one base of 8 ft, a height of 3 ft, and an area of 30 ft2. What is the length of the other base?（分数：1.00）_(5).A polygo

7、n with four sides and four right angles has one side of 6 mm. If the area of the polygon is 42 mm2, would the polygon be considered a square or a rectangle?（分数：1.00）_Angles, Parallel Lines, and Perpendicular LinesThese questions will test your knowledge of operations involving angles, parallel lines

8、, and perpendicular lines.Answer the following questions.（分数：5.00）(1).What is the measure of the angle that is supplementary to a 40 angle?（分数：1.00）_(2).What is the measure of the angle that is complementary to a 25 angle?（分数：1.00）_(3).In the figure below, line n is parallel to line m, and line p is

9、 parallel to line o. What is the measure of angle ?（分数：1.00）_(4).In the figure below, line x is parallel to line y. What is the measure of angle ?（分数：1.00）_(5).In the figure below, line t is parallel to line u, and line v is perpendicular to line u. What is the measure of angle ?（分数：1.00）_Perimeter,

10、 Area, and VolumeThese questions will test your knowledge of operations involving perimeter, area, and volume.Answer the following questions.（分数：5.00）(1).You are applying fertilizer to your backyard. The rectangular yard measures 40 feet wide and 70 feet long. You use 6 pounds of fertilizer to treat

11、 700 square feet. The fertilizer comes in 8-pound bags. How many bags of fertilizer will you need to complete the job?（分数：1.00）_(2).John is building a circular fence around his circular pool. The pool is 26 feet in diameter. If John wants to have 2 feet of space between the edge of the pool and the

12、fence, what is the area that will be encompassed by the fence? (=3.14)（分数：1.00）_(3).Tiffany inflates a beach ball. If the diameter of the ball is 0.6 m, what is its volume?（分数：1.00）_(4).A cylindrical can of pineapple juice contains 350 cm3 of liquid. If the can is cm tall, what is its diameter?（分数：1

13、.00）_(5).If a square prism has an edge of 5 inches, what is the volume of the square?（分数：1.00）_二、BWord Problems a(总题数：2，分数：8.00)These exercises are designed to help you apply the mathematics concepts just covered. They are not in GRE format, but should help you to identify your areas of strength and

14、 weakness in these areas.Translating Word ProblemsThese questions will test your ability to locate relevant mathematical information in word problems.Place an X next to the correct expression in the questions below.（分数：5.00）(1).Tom had 6 books. He gave 2 to his sister and then purchased 3 more books

15、 at the bookstore. Which of the following mathematical expressions is equivalent to the number of books that Tom now has?_6-2+3_6+2-3_6(2+3)_6(2-3)（分数：1.00）_(2).Juan walked 3 more miles than Rebecca. Rebecca walked 4 times as far as William. William walked 2 miles. Which of the following mathematica

16、l expressions is equivalent to the number of miles Juan walked?_342_(2+4)3_4(2)+3_4+3+2（分数：1.00）_(3).Tina goes to the store to purchase some CDs and DVDs. CDs cost $15 and DVDs cost $18. Which of the following expressions gives the total amount of money, in dollars, Tina will pay for purchasing 2 of

17、 the CDs and D of the DVDs?_15+D_30+18D_18+D+30_D(18+15)（分数：1.00）_(4).Mark is older than Frank, but younger than David. If m, f, and d represent the ages, in years, of Mark, Frank, and David, respectively, which of the following is true?_dfm_fmd_dmf_fdm（分数：1.00）_(5).Kathy was twice as old as Jim 2 y

18、ears ago. Today, Jim is j years old. In terms of j, how old was Kathy 2 years ago?_2(j-2)_2j-2_2(j+2)_j(2+2)（分数：1.00）_Data AnalysisThese questions will test your ability to interpret and analyze data presented in charts, tables, and graphs.Answer the following questions.Medals awarded to the 10 high

19、est-ranked countries in the Winter Olympics inTorino, Italy, in 2006 were as shown: Country Cold Medals Silver Medals Bronze Medals Germany 11 12 6United States 9 9 7Austria 9 7 7Russian Federation 8 6 8Canada 7 10 7Sweden 7 2 5South Korea 6 3 2Switzerland 5 4 5Italy 5 0 6France 3 2 4（分数：3.00）(1).Ho

20、w many more medals did Germany win than South Korea?（分数：1.00）_(2).What is the ratio of bronze to gold medals earned by Italy and France combined?（分数：1.00）_(3).What percentage of all of the medals earned by the top 5 of these countries were silver medals (rounded to the nearest percent)?（分数：1.00）_GRE

21、-Verbal+Review 答案解析(总分：33.00，做题时间：90 分钟)一、BGeometr/B(总题数：4，分数：25.00)These exercises are designed to help you apply the mathematics concepts just covered. They are not in GRE format, but should help you to identify your areas of strength and weakness.Coordinate GeometryThese questions will test your

22、knowledge of operations involving the equation and the slope of a line and distance and midpoint formulas.Answer the following questions.（分数：10.00）(1).What is the y-intercept of the line with the equation 2y=4x+6?（分数：1.00）_正确答案：()解析：First, rearrange the equation into the slope-intercept form by isol

23、ating y on the left side; divide both sides by 2: y=2x+3 You know that in the slope intercept formula, y=mx+b, b is the y-intercept. Because b=3, the correct answer is 3.(2).What is the slope of the line with the equation 3y=-2x+5?（分数：1.00）_正确答案：()解析：Rearrange the equation into the slope intercept f

24、orm by isolating y on the left side; divide both sides by 3: You know that in the slope intercept formula, y=mx+b, m is the slope. Because the correct answer is (3).What is the slope of the line x=4?（分数：1.00）_正确答案：()解析：This equation represents a vertical line; the y-intercept is 0, so the line is pa

25、rallel to the y-axis. A vertical line has an undefined slope, because the denominator is 0.(4).What is the equation of a line parallel to y=4x-12 that crosses the y-axis at 3?（分数：1.00）_正确答案：()解析：For two lines to be parallel, their slopes must be equal; therefore, in the standard equation y=mx+b, m=4

26、. You are given that the line crosses the y-axis at 3, so the y-intercept (b) must be 3. If you substitute 4 for m and 3 for b in the standard equation, you get y=4x+3.(5).What is the equation of a line perpendicular to 3x=2-y with the y-intercept 8?（分数：1.00）_正确答案：()解析：First, rearrange the equation

27、into slope-intercept form, by subtracting 3x and-y from both sides: y=-3x+2 For two lines to be perpendicular, their slopes must be negative reciprocals. The negative reciprocal of-3 is . The problem also states that the perpendicular line has a y-intercept of 8. If you substitute for m and 8 for b

28、in the standard equation, you get (6).What is the distance between the points (3,-4) and (9,4)?（分数：1.00）_正确答案：()解析：Use the Distance Formula to solve this problem. Substitute the given values of x and y into the formula to solve for the distance, as follows: (7).Solve for y if the distance between th

29、e two points (2,8) and (-6,y) is 17.（分数：1.00）_正确答案：()解析：Use the Distance Formula to solve this problem. Because you are given the distance between the points, your equation will look like this:(8).What is the midpoint between (12,5) and (10, -7)?（分数：1.00）_正确答案：()解析：Use the midpoint equation to solve

30、 this problem. First solve for the x-coordinate, which is half the distance between 12 and 10:Do the same for mm, which is half the distance between 5 and -7:Therefore, the midpoint is (11,-1).(9).Solve for x if the midpoint between the two points (x,1) and (-2, -3) is (5,-1).（分数：1.00）_正确答案：()解析：You

31、 only have to solve for the x-coordinate because you are given the y-coordinate: (10).What is the distance between the points (0,5) and (5,0)?（分数：1.00）_正确答案：()解析：Use the Distance Formula to solve this problem. Substitute the given values of x and y into the formula to solve for the distance, as foll

32、ows: Properties and Relations of Plane FiguresThese questions will test your knowledge of operations involving plane figures.Answer the following questions.（分数：5.00）(1).What is the hypotenuse of a right triangle with a base of 9 cm and an area of 54 cm2?（分数：1.00）_正确答案：()解析：The area of a triangle and

33、 the length of one of the legs of a right triangle are given. However, you need the length of both legs to use the Pythagorean theorem to determine the hypotenuse. Since you have the area, start there. For a triangle, . You are given the base and area, so solve for the height:Now you know the length

34、s of the two legs of the right triangle and can use the Pythagorean theorem (a2+b2=c2) to determine the hypotenuse:92+122=c281+144=c2225=c215=c.The hypotenuse is 15 cm.(2).What is the area of a circle with a circumference of 14 inches?（分数：1.00）_正确答案：()解析：The equation for the area of a circle is A=r

35、2. The equation for the circumference of a circle is C=2r. Since you are given the circumference, you can use that to find the radius, r, and then use the radius to find the area:14=2r14=2rr=7Now substitute r into the equation for area:Area=(7 2)Area=49(3).If one of the angles of a parallelogram measures 35, what is the sum of the remaining angles?（分数：1.00）_正确答案：()解析：A parallelograms angles add up to 360. So simply subtract 35 from 360: 360-35=325.(4).A trapezoid has one base of 8 ft, a height of 3 ft, and an area of 30 ft2. What is the lengt