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Quantity A

m + n

Quantity B

2m


n is an integer.

Quantity A

$$(-1)^{n}(-1)^{n+2}$$

Quantity B

1


If $$p$$ and $$n$$ are prime numbers, $$p-n=4$$, and $$\frac{3}{2} \lt \frac{p}{n} \lt 2$$, what is the value of $$p$$?

The table shows the percent distrbution of financial support for a nonprofit organization, by source. The amount of financial support from individuals is approximately what percent less than the amount from corporations?
The legs of aright triangle are in the ratio of 3 to 1. If the length of the hypotenuse of the triangle is $$\sqrt{40}$$, then the perimeter of the triangle is between.
In a distribution of the values of the variable x, the 50th percentile is 48.5 and the 60th percentile is 56.5.

Quantity A

The 40th percentile of the distribution of the values of x

Quantity B

40.5


A coffee shop sells its own brand of ground coffee packaged in two sizes-small and large. The small size is priced at k dollars per package, and the large size is priced at m dollars per package. If the total price of 4 packages of the coffee is $30, which of the following could be the values of k and m?

Indicate all such values.
If -8 ≤ h ≤ 10 and h+m=-4, what is the least possible value of mh?
When the integer k is divided by 6, the remainder is 4. What is the remainder when 8k is divided by 6?
If k is a positive integer and n is the ones digit of $$7^{k}$$, what is the greatest possible value of |n-7|?
x and y are positive numbers.

Quantity A

$$\sqrt{x}$$+$$\sqrt{y}$$

Quantity B

$$\sqrt{x+y}$$


Each person in a group of nine people was asked how many movies the person saw last month. The numbers of movies seen last month by five people in the group are 1, 1, 0, 2 and 2, respectively. If the median of the numbers of movies seen last month by the other four people in the group is 3, what is greatest possible value of the median of the numbers of movies seen last month by all the people in the group?
A rectangular floor will be completely covered with square tiles, each of which has sides of length 6 inches. If tiles are laid side by side with no space between them and no tiles are cut, then the number of tiles needed to cover the floor is 1,080. Which of the following could be the dimensions of the floor? (Note12 inches=1 foot.)
$$x^{2}$$+$$y^{2}$$=52. Both $$x$$ and $$y$$ are integers and $$x \gt y$$.

Quantity A

$$x$$

Quantity B

$$4$$


For all positive integer n, the function f is defined by the equation f(n)= $$\frac{n(n+1)}{2}$$

m is a positive integer

Quantity A

$$(-1)^{f(4m+1)}$$

Quantity B

$$(-1)^{f(4m+2)}$$


x and y are integers, and x < y-4

Quantity A

The number of even integers between x and y

Quantity B

The number of odd integers between x and y


k is a positive integer greater than 1

Quantity A

The remainder when $$k^{2}$$-k is divided by 2

Quantity B

0





Quantity A

The perimeter of ABCD

Quantity B

The sum of the lengths of diagonals AC and BD




For which of the following values of x does the expression $$\sqrt{\frac{24}{x+1}}$$ represent an irrational number?

Indicate all such numbers.
How many distinct solutions does the equation |1-|x-215||=1 have?

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