# Z! Prep SAT Math Only Quiz For Tutors

20 Questions | Total Attempts: 102

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This quiz is designed to measure a tutor's knowledge and familiarity with the math content on the SAT. In order to be eligible to tutor SAT math students for Club Z!, prospective tutors must be able to successfully answer the following sample questions from the Z! Prep SAT Math Diagnostic test. Your local Area Director will determine the minimum threshold for correct answers. Good luck!

• 1.
Directions: For this section, solve each problem and choose the best answer from among the choices given.
• 2.
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• 8.
Directions: for the following questions, please answer the question with a number, decimal or fraction.  Do not spell out a numeric answer.  Example: 12 is an acceptable answer.  "Twelve" is not an acceptable answer.  Some problems have more than one correct answer. Please use only one answer for each question.  No student response questions have negative answers.
• 9.
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• 11.
The table above represents the number of shares of stock purchased on a particular day. What is the average (arithmetic mean)  purchase price , in dollars, of a share of bought that day?
• A.

11

• B.

23

• C.
• D.

25

• E.

71

• 12.
Functions and  are defined as   If a<0 and c<0 for both f(x) and g(x), which of the following could be the graph of both functions?
• A.

• B.
• C.
• D.
• E.
• 13.
If AB > BC, which of the following must be true? I. AB > AC II. AB + AC > BC + AC III. AC AB < AC BC
• A.

I only

• B.

II only

• C.

III only

• D.

II and III only

• E.

I, II, and III

• 14.
The graph of which of the following equations is parallel to line  and contains points (5,6)?
• A.
• B.
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• D.
• E.
• 15.
Then all of the following could be values of x EXCEPT
• A.
• B.
• C.
• D.

0

• E.
• 16.
Each of the polygons could be folded to form a cube EXCEPT
• A.
• B.
• C.
• D.
• E.
• 17.
In the diagram above, square ABCD and semicircles EIH and FJG are inscribed within the larger square EFGH.  If the area of square ABCD is 36, what is the total perimeter of the two shaded regions?
• A.
• B.
• C.
• D.
• E.

Can not be determined from the information given

• 18.
If m and n are positive integers and   ,  what is the value of m?
• A.

2

• B.

3

• C.

4

• D.

5

• E.

6

• 19.
The figure above shows point B, (5.5, b), on the graph of  and point D, (-5.5, d), on the graph of   where   is constant. If the perimeter of rectangle ABCD is 38, what is the value of   ?
• 20.
A collegiate track team plans to enter the 400m relay race. the relay team will consist of four runners, each of whom will run 100m. Based on the scatterplot above, how many possible teams of runners could be chosen to run in the relay, if only runners with qualifying times below 10.3 seconds will be considered for the relay team?
• 21.
If f(x) = x - 1,    g(x) = xf(x) + 2, and g(f (a)) = 32, what is the sum of all possible values of a?
• 22.
If a diagonal of a figure is defined as a line segment joining any 2 non-adjacent vertices, how many diagonals exist in a cube?
• 23.
In the figure above, the smaller circle has a radius .  The larger circle has a radius  .  What is the ratio of the area of the smaller circle to the area of the shaded region?
• 24.
When the sum of n and 5 is subtracted from twice n, the result is 7. What is the value of n?
• A.

-12

• B.

-2

• C.

0

• D.

2

• E.

12

• 25.
Sara rides her bike from her house at point A to her friend's house at point E. If she were able to travel directly in a straight line to her friend's house, how many miles would she travel?
• A.

3

• B.
• C.

5

• D.
• E.
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