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A box contains 6 cards, numbered 1, 2, 3, 4, 5, and 6, respectively. If one of the 6 cards is to be selected at random, what is the probability that the number on the card selected will be greater than 3, or even, or both?
Give your answer as a fraction.
Which of the following statements are true for all integers a and b?

Indicate all such statements.
What is the tens digit of $$21^{(3^{50})}$$?

Quantity A

The tens digit of

($$4^{100}$$)($$5^{99}$$)

Quantity B

The tens digit of

($$4^{100}$$)($$5^{101}$$)






Two water faucets are used to fill a certain tank. Running individually at their respective constant rates, these faucets fill the empty tank in 12 minutes and 20 minutes, respectively. If no water leaves the tank, how many minutes will it take for both faucets running simultaneously at their respective rates to fill the empty tank?

Give your answer as a decimal.


In the figure shown, what is the length of line segment BD?
In the xy-plane, line segment RS is a side of a square. The coordinates of R are (2, 10) and the coordinates of the midpoint of RS are (7, 12). Which of the following CANNOT be the coordinates of a vertex of the square?


As shown in the figure, the centers of the two circles are respectively on the circumference of each other, and the radius is 3. What is the perimeter of this figure?

Quantity A

20!+19!+18!

Quantity B

400(18!)


How many 6-digit integers greater than 321,000 can be formed such that each of the digits 1, 2, 3, 4, 5, and 6 is used once in each 6-digit integer?
The newspapers described the writer as a (i) _____________, but she was really quite (ii) _____________once you met her in person.
According to the passage. in the era before phonographs, violinists probably
Which of the following, if true, provides the most support for the argument?
$$(5^{3})w+(5^{2})x+5y+z=264$$

In the equation shown, $$w$$, $$x$$, $$y$$ and $$z$$ are integers that are no less than 0 and no greater than 5. What is the sum of $$w+x+y+z$$?

Indicate all such values.
x ≥ 2

$$\sqrt{x-2}=x-2$$

Quantity A

x

Quantity B

$$\frac{5}{2}$$




Quantity A

x

Quantity B

y+z


Which of the following is the graph of all the values of x such that |2x-1| ≤ 7?

Quantity A

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

Quantity B

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


M, a, and b are positive numbers.

Quantity A

$$\frac{M(a^{2}+b^{2})}{12}$$

Quantity B

$$\frac{M(a+b)^{2}}{12}$$


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