1、GRE（ QUANTITATIVE）综合模拟试卷 9及答案与解析 1 For a given two-digit positive integer, the tens digit is 5 more than the units digit. The sum of the digits is 11. Find the integer. 2 If the ratio of 2x to 5y is 3 to 4, what is the ratio of x to y? 3 Kathleens weekly salary was increased by 8 percent to $237.60.
2、 What was her weekly salary before the increase? 4 A theater sells childrens tickets for half the adult ticket price. If 5 adult tickets and 8 childrens tickets cost a total of $27, what is the cost of an adult ticket? 5 Pat invested a total of $3,000. Part of the money was invested in a money marke
3、t account that paid 10 percent simple annual interest, and the remainder of the money was invested in a fund that paid 8 percent simple annual interest. If the interest earned at the end of the first year from these investments was $256, how much did Pat invest at 10 percent and how much at 8 percen
4、t? 6 Two cars started from the same point and traveled on a straight course in opposite directions for exactly 2 hours, at which time they were 208 miles apart. If one car traveled, on average, 8 miles per hour faster than the other car, what was the average speed of each car for the 2-hour trip? 6
5、A group can charter a particular aircraft at a fixed total cost. If 36 people charter the aircraft rather than 40 people, then the cost per person is greater by $12. (a)What is the fixed total cost to charter the aircraft? (b)What is the cost per person if 40 people charter the aircraft? 8 An antiqu
6、es dealer bought c antique chairs for a total of x dollars. The dealer sold each chair for y dollars. (a)Write an algebraic expression for the profit, P, earned from buying and selling the chairs. (b)Write an algebraic expression for the profit per chair. 10 In the coordinate system below, find the
7、following.(a)Coordinates of point Q(b)Lengths of PQ, OR, and PR(c)Perimeter of PQR(d)Area of PQR(e)Slope, y-intercept, and equation of the line passing through points P and R GRE（ QUANTITATIVE）综合模拟试卷 9答案与解析 1 【正确答案】 83 2 【正确答案】 15 to 8 3 【正确答案】 220 4 【正确答案】 3 5 【正确答案】 $800 at 10% and $2,200 at 8% 6 【正确答案】 48 mph and 56 mph 7 【正确答案】 4320 8 【正确答案】 108 9 【正确答案】 P = cy - x 10 【正确答案】 Profit per chair: 11 【正确答案】 (-2,0) 12 【正确答案】 PQ = 6,QR = 7,PR = 13 【正确答 案】 13 + 14 【正确答案】 21 15 【正确答案】 Slope: 7y+6x=30
