Sub 505 (Easy)
If the average (arithmetic mean) of x and y is 60 and the average (arithmetic mean) of y and z is 80, what is the value of z-x?.
Sub 505 (Easy)
Car X and Car Y traveled the same 80-mile route. If Car X took 2 hours and Car Y traveled at an average speed that was 50 percent faster than the average speed of Car X, how many hours did it take Car Y to travel the route?
Sub 505 (Easy)
Fermat primes are prime numbers that can be written in the form 2 k + 1 , where k is an integer and a power of 2. Which of the following is NOT a Fermat prime
555-605 (Medium)
If s is the product of the integers from 100 to 200 inclusive, and if t is the product of the integers from 100 to 201 inclusive, what is 1/s + 1/t in terms of t?
655-705 (Hard)
The inside dimensions of a rectangular wooden box are 6 inches by 8 inches by 10 inches. A cylindrical canister is to be placed inside the box so that it stands upright when the closed box rests on one of its six faces. Of all such canisters that could be used, what is the radius, in inches, of the one that has the maximum volume?
Sub 505 (Easy)
If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 63, what is the value of K?
Sub 505 (Easy)
If the operation @ is defined for all a and b by the equation a @ b = a 2 * b 3 , then 2 @ (3 @ − 1) =
555-605 (Medium)
Which of the following CANNOT be a value of 1 x − 1 ?
505-555 (Easy)
A part-time employee whose hourly wage was increased by 25 percent decided to reduce the number of hours worked per week so that the employee's total weekly income would remain unchanged. By what percent should the number of hours worked be reduced?
555-605 (Medium)
If r = 0.345 , s = 0.345 2 , and t = 0.345 − − √ t = 0.345 , which of the following is the correct ordering of r , s , and t ?
555-605 (Medium)
If candy bars that regularly sell for 0.40eachareonsaleattwofor0.75, what is the percent reduction in the price of two such candy bars purchased at the sale price?
555-605 (Medium)
If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 4 strokes ?
This year Henry will save a certain amount of his income, and he will spend the rest. Next year Henry will have no income, but for each dollar that he saves this year, he will have 1 + r dollars available to spend. In terms of r, what fraction of his income should Henry save this year so that next year the amount he has available to spend will be equal to half the amount that he spends this year?
Sub 505 (Easy)
I. 72, 73, 74, 75, 76
II. 74, 74, 74, 74, 74
III. 62, 74, 74, 74, 89
The data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following?
505-555 (Easy)
Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?
Sub 505 (Easy)
2 4 6 8 n 3 5 7 9
In the list above, if n is an integer between 1 and 10, inclusive, then the median must be
Sub 505 (Easy)
If x = -3, what is the value of -3x^2 ?
505-555 (Easy)
A point on the edge of a fan blade that is rotating in a plane is 10 centimeters from the center of the fan. WHat is the distance traveled, in centimeters, by this point in 15 seconds when the fan runs at the rate of 300 revolutions per minutes?
505-555 (Easy)
In the xy-coordinate system, if (a,b) and (a+3, b+k) are two points on the line defined by the equation x=3y-7, then k=?
505-555 (Easy)
A toy store regularly sells all stock at a discount of 20 percent to 40 percent. If an additional 25 percent were deducted from the discount price during a special sale, what would be the lowest possible price of a toy costing $16 before any discount?