1、GRE（ QUANTITATIVE）练习试卷 5及答案与解析 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 700 square feet. The fertilizer comes in 8-pound bags. How many bags of fertilizer will you need to complete the job? 2
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 fence, what is the area that will be encompassed by the fence? (=3.14) 3 Tiffany inflates a beach ball. If the diameter of the ball
3、is 0.6 m, what is its volume? 4 A cylindrical can of pineapple juice contains 350 cm3 of liquid. If the can is 14/ cm tall, what is its diameter? 5 If a square prism has an edge of 5 inches, what is the volume of the square? GRE（ QUANTITATIVE）练习试卷 5答案与解析 1 【正确答案】 The question asks you to determine t
4、he number of bags of fertilizer that will cover your rectangular backyard. According to information in the problem, 6 pounds of fertilizer can cover 700 square feet. Calculate the area of the backyard. The area of a rectangle is determined by multiplying the length (70 feet) by the width (40 feet):
5、7040=2,800 The area of the backyard is 2,800 square feet. The problem states that 6 pounds of fertilizer can cover 700 square feet. Calculate the number of times that 700 will go into 2,800: 2,800700=4 You will need 4 times 6 pounds of fertilizer to treat 2,800 square feet: 46=24 Since you will need
6、 a total of 24 pounds of fertilizer to treat the backyard, and each bag of fertilizer weighs 8 pounds, divide 24 by 8 to find the number of bags of fertilizer you will need: 248=3 You will need 3 bags of fertilizer to treat a backyard that measures 2,800 square feet. 2 【正确答案】 If the pool has a diame
7、ter of 26 feet, and the fence needs to be 2 feet away from the edge of the pool, the diameter of the area enclosed by the fence would be 26+2+2=30 feet. Draw a picture to help visualize the problem: The area of a circle is r2. The radius is half of the diameter, so r=15. Substitute 15 for r and 3.14
8、 for and solve: Area=(3.14)(15)2 Area=706.5 ft2 3 【正确答案】 A beach ball is a sphere, and the equation for the volume of a sphere is . The diameter is given as 0.6 m, so the radius is half of that, 0.3 m. Substitute that value into the equation and solve: Volume=0.036 m3 or approximately 0.113 ma 4 【正确
9、答案】 The equation for the volume of a cylinder is r2h. The question is asking for diameter, so first solve for r, then double it. Since the radius is 5 cm, the diameter is 10 cm. 5 【正确答案】 The equation for the volume of a square prism is s3. Since you are given a side (s) of 5, simply substitute 5 for
10、 s. The answer is 125 in3. and you might be able to quickly eliminate some incorrect answer choices. You should also remember that there are 360 degrees in a circle, because a question might ask you to calculate the value of x as the number of degrees it represents on the graph. SOURCES OF SCHOOL FUNDING, 1997 Figure 10.17 Sample pie graph Frequency distribution is often a more convenient way to express a set of measurements. A frequency distribution table or graph shows the frequency of occurrence of each value in the set. Following is an example of a frequency distribution table:
