505-555 (Easy)
A rectangular box is 10 inches wide, 10 inches long, and 5 inches high. What is the greatest possible (straight-line) distance, in inches, between any two points on the box?
555-605 (Medium)
Door.png [ 6.35 KiB | Viewed 58175 times ]
The front of a 6-foot-by-8-foot rectangular door has brass rectangular trim, as indicated by the shading in the figure above. If the trim is uniformly 1 foot wide, what fraction of the door's front surface is covered by the trim?
Sub 505 (Easy)
A certain rectangular window is twice as long as it is wide. If its perimeter is 10 feet, then its dimensions in feet are
Sub 505 (Easy)
Rectangular Floors X and Y have equal area. If Floor X is 12 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?
Sub 505 (Easy)
The trapezoid shown in the figure above represents a cross section of the rudder of a ship. If the distance from A to B is 13 feet, what is the area of the cross section of the rudder in square feet?
Sub 505 (Easy)
In the figure above, if PQRS is a parallelogram, then y - x =
655-705 (Hard)
Pat will walk from intersection X to intersection Y along a route that is confined to the square grid of four streets and three avenues shown in the map above. How many routes from X to Y can Pat take that have the minimum possible length?
Sub 505 (Easy)
Of the following, which is the closest approximation of 50.2*0.49/199.8
Sub 505 (Easy)
A student’s average (arithmetic mean) test score on 4 tests is 80. What must be the student’s score on a 5th test for the student’s average score on the 5 tests to be 82?
505-555 (Easy)
The ratio of two quantities is 3 to 4. If each of the quantities is increased by 5, what is the ratio of these two new quantities?
555-605 (Medium)
Jill went up a hill at an unknown constant speed. She then immediately tumbled down the hill along the same route but twice as fast. If Jill’s average speed for the round trip was 6 mph, what was her average speed tumbling down the hill?
Sub 505 (Easy)
(0.3) 5 (0.3) 3 =
Sub 505 (Easy)
Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 40 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 6 minutes?
505-555 (Easy)
Drum x is 1/2 full of oil and drum y, which has twice the capacity of drum x is 2/3 full of oil. if all of the oil in drum x is poured into drum y, then drum y will be filled to what capacity?
555-605 (Medium)
A total of n trucks and cars are parked in a lot. If the number of cars is 1/4 the number of trucks, and 2/3 of the trucks are pickups, how many pickups, in terms of n, are parked in the lot?
Sub 505 (Easy)
In a horticultural experiment, 200 seeds were planted in plot I and 300 were planted in plot II. If 57 percent of the seeds in plot I germinated and 42 percent of the seeds in plot II germinated, what percent of the total number of planted seeds germinated?
505-555 (Easy)
If x is the product of the positive integers from 1 to 8, inclusive, and if i, k, m, and p are positive integers such that x = 2 i * 3 k * 5 m * 7 p , then i + k + m + p =
505-555 (Easy)
If n is positive, which of the following is equal to 1 √ n + 1 − √ n 1 n + 1 − − √ − n √
505-555 (Easy)
What is the units digit of
13
4
∗
17
2
∗
29
3
?
705-805 (Hard)
If x, y, and k are positive numbers such that x x + y * 10 + y x + y * 20 = k and if x < y, which of the following could be the value of k?