Sub 505 (Easy)
If n is a prime number greater than 3, what is the remainder when n^2 is divided by 12 ?
505-555 (Easy)
Car X averages 25 miles per gallon of gasoline and Car Y averages 11.9 miles per gallon. If each car is driven 12,000 miles, approximately how many more gallons of gasoline will Car Y use than Car X ?
505-555 (Easy)
In the coordinate plane, a circle has center (2, -3) and passes through the point (5, 0). What is the area of the circle?
555-605 (Medium)
If n is an integer greater than 6, which of the following must be divisible by 3?
Sub 505 (Easy)
√ 80 + √ 125 = 80 − √ + 125 − − √ =
505-555 (Easy)
At a certain school, the ratio of the number of second graders to the number of fourth graders is 8 to 5, and the ratio of the number of first graders to the number of second graders is 3 to 4. If the ratio of the number of third graders to the number of fourth graders is 3 to 2, what is the ratio of the number of first graders to the number of third graders?
555-605 (Medium)
Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 30 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
Sub 505 (Easy)
1 0.75 − 1 =
555-605 (Medium)
Yesterday's closing prices of 2,420 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday?
Sub 505 (Easy)
In the xy-plane, what is the slope of the line with equation 3x + 7y = 9 ?
Sub 505 (Easy)
If n is an integer, which of the following must be even?
555-605 (Medium)
On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price per glass on the second day?
Sub 505 (Easy)
If | y − 1 2 | < 11 2 , which of the following could be a value of y?
Sub 505 (Easy)
At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products. If he spent the remaining $6 on candy, how much did John spend at the supermarket?
Sub 505 (Easy)
Which of the following equations is NOT equivalent to 10 y 2 = (x + 2) (x − 2) ?
Sub 505 (Easy)
A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox twice as long, twice as wide, and twice as high as the first sandbox, what would be the capacity, in cubic feet, of the second sandbox?
Sub 505 (Easy)
y = k x + 3 In the equation above, k is a constant. If y = 17 when x = 2, what is the value of y when x = 4 ?
Sub 505 (Easy)
A rectangular garden is to be twice as long as it is wide. If 360 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?
555-605 (Medium)
In the figure above, triangle ABC is equilateral, and point P is equidistant from vertices A, B, and C. If triangle ABC is rotated clockwise about point P, what is the minimum number of degrees the triangle must be rotated so that point B will be in the position where point A is now?
Sub 505 (Easy)
1 2 + 2 3 * 3 8 4 − 9 16 .