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R and r are two radii of the larger and smaller circle, respectively, if the ratio of R to r is 3. The shaded region is what percentage of the larger circle?
Give your answer as a fraction.


In the following number line, |x-y|=|z-y| (x < z).

Quantity A

$$\frac{x+z}{2}$$

Quantity B

y


The tick marks shown on the number line are evenly spaced. Points D and E have coordinates of $$4^{10}$$ and $$4^{11}$$, respectively. The point that has a coordinate of $$4^{9}$$ is?
When Mark carries a speed tester for feet, he moves 93 feet per minute; when Mark carries a speed tester for hands, he moves 90 feet per minute. In how many seconds will he moves on feet 0.25 feet more than he moves on hands? _____seconds
A, M and B are three train stations. M is somewhere between A and B. Two trucks start off from A and B station at the same time. The truck starting from station A travels at 60 miles per hour, while the truck from station B travels at 40 miles per hour. They arrive at station M at the same time. What is the ratio of the distance from station A to station M to the distance from station M to station B?

Give your answer with fraction.
If a=$$(-\frac{1}{37})^{12}$$, which of the following equals to $$37^{-12}$$?
How many different points (x, y), where x and y are both positive integers, in xy-plane satisfy the inequality x+y ≤ 200?
A point A (3s, 2s-3) is on the line y=-x-4, what is the value of s?

Give your answer as a fraction.
In the xy-plane, the slope of line l is p, the slope of line n is q, the y-intercept of line l is f, and the y-intercept of line n is j. 0 < q < p, 0 < f < j.

Quantity A

The x-intercept of line l

Quantity B

The x-intercept of line n
In the xy -plane, the circle with radius 50 and center (0, 0) passes through which of the following points?

Indicate all such points.
If a set S has a total of 6 subsets that consist of 2 members each, then S consists of how many members?
What's the number of integers that are neither multiple of 3 nor multiple of 7 from 1 to 1000, inclusive?
In a class, there are 3/4 of people taking chemistry class, and there are 5/6 of people taking biology class. It is possible that a student takes neither of them. What is the minimum ratio of people taking both these classes?
Give your answer as a fraction.
There are 210 students in a class. 160 of them take physics, 80 of them take chemistry, and 60 of them take biology. Each student has to take at least one courses. but cannot take all the three classes simultaneously. The number of students who take two classes is what percent of all the students?
Give your answer as a fraction.
Dr. Mosher call the roll ten days in a row. If Candy attended 8 times, Sam attended 7 times, and Amy attended 6 times. If they show in class simultaneously in only one day, and at least 1 student attend each day`s course, how many days in which exactly two of them attended?
The height a plant every day increased by $$\frac{1}{2}$$ than that of the preceding day. What is the ratio of the overall height in the fourth day to that of the seventh day? Give your answer as a fraction.
At 12:55 in the afternoon,there are 250 people in a certain stadium for a game scheduled to begin at 2:15 in the afternoon.If the number of people in the stadium will double every 20 minutes until the game is scheduled to start, how many people will be in the stadium at the time the game is scheduled to start?
A computer identification code on a certain machine consists of 2 letters from an alphabet of 26 letters, followed by 2 digits from the digits 0 to 9. The two digits must be different. How many identification codes are possible?
Joe remembers the first 8 digits of a 10-digit telephone number. If he uses the digits he remembers,what is the maximum number of telephone numbers that he may have to enter in order to reach the correct telephone number?
Three groups of people have 8, 6 and 10 people, respectively. How many ways can you select two people from all these groups such that they are from different groups?

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