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题目列表

题目内容
A circle is inscribed in a square. If a point is to be chosen at random from the square region, what is the probability that the point chosen will lie inside the circular region?
How many of the 900 positive 3-digit integers have a units digit of 2 and are the square of an integer?
Each of the people who took a data entry test made 0, 1, 2, 3, or 4 errors. Of those people, 65 percent made fewer than 4 errors, 46 percent made fewer than 3 errors, and 24 percent made fewer than 2 errors.

Quantity A

The percent of the people who took the data entry and made exactly 2 errors

Quantity B

20%
x > 1, $$\frac{1}{\sqrt{x}}$$ < $$\frac{1}{\sqrt{y}}$$

Quantity A

x

Quantity B

y
x ≠ $$\frac{1}{2}$$

Quantity A

$$\frac{(x+\frac{1}{2})^{2}}{(x-\frac{1}{2})^{2}}$$

Quantity B

1
Sequence S has 75 terms. The nth term of S is 2n+5, where n is an integer from 1 to 75, inclusive.

Quantity A

The median of the values of the terms in S

Quantity B

81
The original price of a certain musical instrument was 25 percent, or $150, greater than the discounted price. What was the original price of the instrument?


A typing test was given to 87 people. The table shows the cumulative frequency distribution for the numbers of errors made by this group of people on the test. How many of the 87 people made exactly 3 errors on the test?


For how many of the 12 months shown did the long-term average water level decrease during the month by at least 20 billion gallons?


The time period during which the actual water level was lower than the drought warning water level was approximately what fraction of the one-year period shown?


A date is to be selected at random from the 12 dates labeled on the graph. Which of the following is closest to the probability that the actual water level for the date selected will be at least 40 billion gallons greater than the drought warning water level for that date?
In the xy-plane, the graph of an equation is symmetric with respect to the y-axis if for every point (a, b) on the graph, the point (-a, b) is also on the graph. Which of the following equations have a graph in the xy-plane that is symmetric with respect to the y-axis?

Indicate ALL such equations.
The repeating decimal $$1.\overline{ab}$$, where a and b are different digits, is equivalent to the fraction $$\frac{n}{d}$$, where n and d are positive integers whose greatest common factor is 1. What is the greatest possible value of n+d ?


The two triangles above are equilateral and PQ=15.

Quantity A

The sum of the perimeters of the two triangles

Quantity B

42
The product of three consecutive integers r, s, and t is 0, where r < s < t.

Quantity A

r

Quantity B

-1
Jerry ate $$\frac{1}{5}$$ of the cookies in a full jar of cookies, and Cantin ate $$\frac{1}{6}$$ of the remaining cookies in the jar.

Quantity A

The fraction of the cookies in the full jar that were not eaten by either Jerry or Cantin

Quantity B

$$\frac{19}{30}$$


Lines I and m are parallel and tangent to the circle. A rectangle (not shown) is inscribed in the circle.

Quantity A

The length of a diagonal of the rectangle

Quantity B

The distance between lines I and m
a < 0 < b < c

Quantity A

$$\frac{ac}{b}$$

Quantity B

ac

Quantity A

The greatest integer less than 100 that is the product of 3 different prime numbers

Quantity B

(2)(3)(13)
Michael opened two new savings accounts, S and T, at the beginning of a certain year and deposited a total of $5,000 in the two accounts. Account S earned simple annual interest at the rate of 4 percent, account T earned simple annual interest at the rate of 5 percent, and there were no other transactions in the two accounts that year. If the total amount of interest earned by the two accounts at the end of the year was $226, what was the amount that Michael deposited in account S?

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