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Quantity A

$$\frac{111}{1,111}$$

Quantity B

$$\frac{1,111}{11,111}$$
Each student in a school takes either the French class or Spanish class, but not both. Each class has some male and some female students. The ratio of the number of female students to the number of male students is less for Spanish class than for French class.

Quantity A

The ratio of the number of female students to the number of male students in French class

Quantity B

The ratio of the number of female students to the number of male students in the school
$$\frac{1}{a}$$ +$$\frac{1}{b}$$ =$$\frac{1}{c}$$, a+b=20, a, b, c are all positive. The value of c could be?

Indicate all such values.
The total amount that Mary paid for a book was equal to the price of the book plus a sales tax that was 4 percent of the price of the book. Mary paid for the book with a $10 bill and received the correct change, which was less than $3.00. Which of the following statements must be true?

Indicate all such statements.
What is the maximum possible number of interior angles that are right angles of a convex decagon (10-sided polygon)?
20 boys and 40 girls are in Group A, while at least 7 boys, together with some girls are in Group B. To choose one person from each of the group, the probability that both are boys is no greater than $$\frac{1}{15}$$. Which of the following statements must be true?

Indicate all such statements.
If f(x)=2x+1, g(x)=2f(x)+1, then what is the value of g(2)?


The figure above shows the graph of the function f in the xy-plane. What it the value of f(f(-1))?


Which of the following functions f defined for all numbers x has the property that f(-x)=-f(x)?
The operation ※ is defined for all integers x and y as x※y=xy-y. If x and y are positive integers, which of the following CANNOT be zero?
a is the sum of the second and third positive integer multiples of a.

Quantity A

5

Quantity B

15


(77△56)△81=?
How many points (x, y) lie on the line segment between (22, $$\frac{38}{3}$$) and (7, $$\frac{53}{3}$$) such that x and y are both integers?
Line l passes through points in both quadrants II and III. Which of the following statements are true?

Indicate all such statements.
The coordinates of three points in an x-y rectangular coordinate system are (0,3), (3,3b) and (b,3) respectively (b is a constant). If the area of the triangle is 18 when connecting the three coordinates, then b equals?

Indicate all such possible values.
Line k lies in the xy-plane. The x-intercept of line k is -4, and line k passes through the midpoint of the line segment whose endpoints are (2, 9) and (2, 0). What is the slope of line k ?

Give your answer as a fraction.
A rectangle is drawn in a standard xy-coordinate plane. If the sides of the rectangle are not parallel to the axes, what is the product of the slope of the four sides?
In the xy-plane, a line with equation $$y=mx+b$$, where $$m$$ and $$b$$ are constants and $$mb \neq 0$$, has a $$y$$-intercept that is twice the $$x$$-intercept.

Quantity A

$$m$$

Quantity B

$$-2$$
What is the y-intercept of the graph of the equation y=2·|4x-4|-10?
In the xy-plane, line k is a line that does not pass though the origin. Which of the following statements individually provide(s) sufficient additional information to determine whether the slope of line k is negative?

Indicate all such statements.

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