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The operation @ is defined for all numbers x and y by the equation x@y=$$x^{2}$$+y

Quantity A

($$\frac{2}{3}$$@$$\frac{2}{3}$$)@$$\frac{2}{3}$$

Quantity B

$$\frac{2}{3}$$@($$\frac{2}{3}$$@$$\frac{2}{3}$$)


In the xy-plane above, both the $$x$$-intercept and the $$y$$-intercept of lines l and m are integers.



The coordinates $$(x, y)$$ of each point in the shaded region satisfy which two of the following inequalities?

Indicate BOTH of the inequalities.

Quantity A

x

Quantity B

y+z


What is the ratio of the area of a square region with diagonal 10 to the area of a square region with diagonal 20?
Give your answer as a fraction.

The figure above represents the surface of a wall with an irregular shape, where all measurements are in meters and point P is 10 meters from the bottom edge and 10 meters from the left edge. The surface is to be painted, and one bucket of paint will cover 170 square meters of the surface. If the bucket of paint will cover the part of the surface from the left edge to a vertical line that is x meters from the left edge, which of the following is true?


If 20 red cubes and 7 white cubes, all of equal size, are fitted together to form one large cube, as shown above, what is the greatest fraction of the surface area of the large cube that could be red?
If $$a_{1}=1$$,$$a_{n}=2a_{n-1}+r$$,where r is a positive number. if $$a_{1}+a_{2}+a_{3}=35$$,what is the value of r?
A restaurant has a total of 16 tables, each of which can seat a maximum of 4 people. If 50 people were sitting at the tables in the restaurant, with no tables empty, what is the greatest possible number of tables that could be occupied by just 1 person?
A certain desk calendar shows the number of the day of the year and the number of days remaining in the year. If the calendar shows for Saturday, January 1, what does the calendar show for the Tuesday that is 20 weeks after the first Tuesday in January?

k is a positive integer greater than 1

Quantity A

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

Quantity B

0





The hexagon is both equilateral and equiangular.

Quantity A

P

Quantity B

Q


If x and y are positive and x is 43 percent greater than y, then y must be what percent less than x?

Give your answer to the nearest whole percent.

_____%
Joey drove from home to work at an average speed of 60 miles per hour, and he drove the same distance from work to home at an average speed of 40 miles per hour. If his total driving time was 2.5 hours, what was the distance, in miles, Joey drove from home to work?
A total of $60,000 was invested for onemonth in a new money market account that paid simple annual interest at the rate of r percent. If the investment earned $450 in interest for the month, what`s the value of r?

1 < x < 2

Quantity A

$$\frac{1}{x}$$+$$\frac{2}{x}$$+ $$\frac{3}{x}$$

Quantity B

x +$$\frac{x}{2}$$+ $$\frac{x}{3}$$


For all numbers x and y, the operation ▼ is defined by x ▼ y=x-2y.

Quantity A

1▼(2▼3)

Quantity B

(1▼2) ▼3


40 < r < s < t < 60
r, s and t are even integers. What is the range of all the possible values of r+s+t?

Quantity A

The standard deviation of all the even integers from 8 to 44, inclusive

Quantity B

The standard deviation of all the odd integers from 59 to 95, inclusive


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?
Set R={-3, -2, -1, 0, 1, 2, 3}
Set T={-7, -6, -5, -4, -3, -2}
If an integer is to be randomly selected from set S and an integer is to be randomly selected from set R, what is the probability that the product of the two integers selected will be positive?
Give your answer as a fraction.

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