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A monument is constructed on level ground in the shape of a pyramid with a square base. If each edge of the monument is 10 meters long, how many meters above the ground is the tip of the monument?
$$1 \lt x+y$$

Quantity A

$$x^2+y^2$$

Quantity B

$$1$$


Pam, Steve,and Adrian each had a party. The number of people at Pam's party was 6 more than the number of people at Steve's party. The number of people at Steve's party was 8 fewer than the number of people at Adrian's party. No one attended more than one of the three parties. If the total number of people at the three parties was 89, what was the number of people at Adrian's party?
The distance from Karen' s home to an office is 98.4 miles along a certain route. Along the route, a rest stop is located 83.8 miles from her home and a police car is always within 0.5 mile of the rest stop. Along the route, less than 0.5 mile before the office, Karen' s car broke down. Which of the following values could be the distance, in miles, along the route between Karen' s car and the police car?

Indicate all such values.
The prizes for a certain contest are in 5 sealed envelopes: 2 containing cash and the other 3 containing gift certificates. If 2 envelopes are to be randomly selected from the 5 envelopes, one at a time without replacement, what is the probability that at least one of the envelopes selected will contain a cash prize?


Points P, R, and S are on the circle with cener O. The measure of angle ROS is 92°.

Quantity A

x

Quantity B

y


$$0 < a < b < c$$

The average of $$a$$, $$b$$, and $$c$$ is $$b$$.

Quantity A

The average (arithmetic mean) of $$a^2$$, $$b^2$$ and $$c^2$$

Quantity B

The median of $$a^2$$, $$b^2$$ and $$c^2$$


Quantity A

The area of a triangle with a perimeter of 40 and a side whose length is 12

Quantity B

72




0 < $$x$$ < 90

Quantity A

$$y$$

Quantity B

5


A survey of 500 households found that 450 households had a microwave oven, 300 had a food processor, and 150 had a trash compactor. Each of the 500 households had at least one of the appliances, and more than 100 households had all three appliances. Which of the following could be the number of households that had a food processor and a trash compactor but no microwave oven?

Indicate all such numbers.
The author would be most likely to agree with which of the following assertions about the "misconceptions"?
Which of the following is the graph of $$|x-5| \leq 2$$?

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