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The greatest number of words read by a student exceeded the least number of words read by a student by approximately what percent?
Of all the articles read, students C, D, and E read the same 2 articles. In addition to these 2 articles, C and D read the same 10 articles, C and E read the same 5 articles, and D and E read the same 7 articles. How many articles were read by at least one of the three students, C, D, and E?
Set S consists of all three-digit positive integers that contain only the digits 1, 2, 3, 4, or 5.

Quantity A

The number of integers in S in which all three digits are different

Quantity B

60


$$1+2+3+......+n$$=$$\frac{n(n+1)}{2}$$

For each integer $$n$$ greater than 1, the sum of the first $$n$$ positive integers is given by the formula shown.

If the average (arithmetic mean) of the first $$n$$ positive integers is $$k$$, what is the sum of the first $$n$$ positive integers in terms of $$k$$?


The figure above represents the floor plan of a basement in which all the walls meet at right angles. The measurements shown in the floor plan, including the two sides of length x, are in centimeters. The floor plan is drawn using a scale of 1 centimeter to 1.5 meters. If the perimeter of the floor is 39.4 centimeters, approximately what is the area, in square meters, of the basement floor?
After decades of research, engineers were (i)____________ the (ii)____________ bending and breaking of layered materials. However, new findings from materials science and engineering research have (iii)____________ their understanding of how such materials are deformed by stresses and strains.
The author mentions "satellites of giant planets" in order to
The author implies that the fact that the Moon and Earth “have different compositions"
In a group of 10 people, the median height is 70 inches, the average (arithmetic mean) height is 70.5 inches, and the range of the heights is 12 inches. If an additional person who is 74 inches tall joins the group, which of the three statistics must change?
A student has a box containing only two kinds of bills: $$6$$ Canadian dollar bills and $$y$$ Australian dollar bills. If more than $$\frac{3}{8}$$ of the bills in the box are Australian dollar bills, what is the least number of bills that the student could have in the box?
The primary purpose of the passage is to
It is often the case that a certain intellectual advantage may be found by being (i)____________ an established field of knowledge, but even if you accept the argument about the importance of (ii)____________ thinking, it is hardly the only significant thinking there is.
Which of the following, if true, most strengthens the argument?
$$x$$ and $$y$$ are positive integers and $$x \gt y$$.

Quantity A

$$x^{y}$$

Quantity B

$$y^{x}$$


Given 14 consecutive integers, if the sum of the first 7 integers is S, what is the sum of the other 7 integers, in terms of S?


In the rectangular coordinate plane, how many points $$(x, y)$$, where both x and y are integers, lie on the circle with center at $$(0, 0)$$ and radius $$5$$?
In the xy-plane, line k passes through the point (1, 3). If the x-intercept is 2, which of the following is the equation of line k?


An experiment has five possible outcomes -- A, B, C, D, and E. The table shows the probabilities of three of the five outcomes. The probability of outcome C is twice the probability of outcome E.

Quantity A

The probability of outcome E

Quantity B

$$\frac{1}{9}$$




The table above shows the times, in seconds, that it took each of 5 mechanics to perform a simple task. For the 5 times shown, if the median is greater than the average (arithmetic mean), which of the following could be the value of x?

Indicate all such values.
Certain rectangular containers can each hold a maximum of 3 cubic feet of mulch. (1 yard =3 feet)

Quantity A

The maximum number of cubic yards of mulch that 100 of these containers can hold

Quantity B

13




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