|
PREP07 Test 2
|
 On the number line above, the segment from 0 to 1 has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks. What is the least possible distance between any two of the tick marks?
|
|
PREP07 Test 2
|
What is the value of $$\sqrt{17}+\sqrt{47}$$, to the nearest whole number?
|
|
PREP07 Test 2
|
 In the figures above, if the area of the triangle on the right is twice the area of the triangle on the left, then in terms of s, S =
|
|
PREP07 Test 2
|
If n is a positive integer, which of the following must be an even integer?
|
|
PREP07 Test 2
|
9.4 9.9 9.9 9.9 10.0 10.2 10.2 10.5 The mean and the standard deviation of the 8 numbers shown are 10.0 and 0.3, respectively. What percent of the 8 numbers are within 1 standard deviation of the mean?
|
|
PREP07 Test 2
|
 In the figure shown, the length of line segment QS is $$4*\sqrt{3}$$. What is the perimeter of equilateral triangle PQR ?
|
|
PREP07 Test 2
|
If $$(400)(6,000) = (240)(100^x)$$, what is the value of x ?
|
|
PREP07 Test 2
|
If x is an integer, which of the following must be an odd integer?
|
|
PREP07 Test 2
|
Machine A produces pencils at a constant rate of 9,000 pencils per hour, and machine B produces pencils at a constant rate of 7,000 pencils per hour. If the two machines together must produce 100,000 pencils and if each machine can operate for at most 8 hours, what is the least amount of time, in hours, that machine B must operate?
|
|
PREP07 Test 2
|
Of the 50 employees of a certain company, 30 earn an average (arithmetic mean) salary of $30,000, 15 earn an average salary of $40,000, and 5 earn an average salary of $60,000. What is the average salary earned by the employees of this company?
|
|
PREP07 Test 2
|
In a certain group of 10 members, 4 members teach only French and the rest teach only Spanish or German. If the group is to choose a 3-member committee, which must have at least 1 member who teaches French, how many different committees can be chosen?
|
|
PREP07 Test 2
|
Amy's grade was the 90th percentile of the 80 grades for her class. Of the 100 grades from another class, 19 were higher than Amy's, and the rest were lower. If no other grade was the same as Amy's grade, then Amy's grade was what percentile of the grades of the two classes combined?
|
|
PREP07 Test 2
|
To determine her state income tax last year, Elena computed 5 percent of her gross income, rounded the resulting figure down to the nearest $100, and subtracted $50 for each dependent that she claimed. If Elena's gross income was $34,500 and she claimed 2 dependents, how much did she determine her state income tax to be?
|
|
PREP07 Test 2
|
Square S is inscribed in circle T. If the perimeter of S is 24, what is the circumference of T ?
|
|
PREP07 Test 2
|
Bobby bought two shares of stock, which he sold for $96 each. If he had a profit of 20 percent on the sale of one of the shares but a loss of 20 percent on the sale of the other share, then on the sale of both shares combined Bobby had
|
|
PREP07 Test 2
|
If x is an odd integer, which of the following is also an odd integer?
|
|
PREP07 Test 2
|
Lisa bought a house for $70,000 and paid closing costs equal to 2 percent of the purchase price. Later Lisa sold the house for $82,000 and paid a broker's commission equal to 10 percent of the selling price. What was Lisa's profit from the two transactions?
|
|
PREP07 Test 2
|
A circular cloth with a diameter of 20 inches is placed on a circular tray with a diameter of 24 inches. What fraction of the tray's surface is not covered by the cloth?
|
|
PREP07 Test 2
|
A stamping machine produces 100 gaskets per hour. When this machine works with a newer machine, the two machines, working simultaneously and independently at their respective constant rates, produce a total of 2,000 gaskets in 8 hours. How many gaskets does the newer machine produce per hour?
|
|
PREP07 Test 2
|
For any triangle T in the xy-coordinate plane, the center of T is defined to be the point whose x-coordinate is the average (arithmetic mean) of the x-coordinates of the vertices of T and whose y-coordinate is the average of the y-coordinates of the vertices of T. If a certain triangle has vertices at the points (0,0) and (6,0) and center at the point (3,2), what are the coordinates of the remaining vertex?
|