Write a response in which you examine the argument’s unstated assumptions, making sure to explain how the argument depends on the assumptions and what the implications are if the assumptions prove unwarranted.
Sample Quantitative Reasoning Questions
There are 25 Questions.
Important: The Quantitative Reasoning sample questions in this document are intended to be used with a figure supplement. A large-print (18 point) figure supplement will be available on the website where you obtained this script. A tactile (braille) figure supplement can be ordered free of charge from the ETS Disabilities Services Office, phone: 1-866-387-8602 in the United States, U.S. Territories, and Canada; 1-609-771-7780 all other locations. E-mail stassd@ets.org.
Directions for questions 1 through 10
Each of the following questions asks you to compare two quantities, Quantity A and Quantity B, and determine whether:
Quantity A is greater;
Quantity B is greater;
The two quantities are equal; or
The relationship cannot be determined from the information given.
A question may have additional information given that concerns one or both of the quantities to be compared.
A symbol that is used more than once in a question has the same meaning every time it is used in the question.
Question 1
Refer to the figure supplement
The figure shows two right triangles. One of the triangles has a leg of length 4 and a leg of length x, and a hypotenuse of length 8. The other triangle has two legs, each of which is of length 4, and a hypotenuse of length y.
Quantity A:&nbs p; x.
Quantity B: y.
Answer choice A - Quantity A is greater.
Answer choice B - Quantity B is greater.
Answer choice C - the two quantities are equal.
Answer choice D - the relationship cannot be determined from the information given.
From the answer choices given, select and indicate the one that describes the relationship between quantity A and quantity B.
Question 2 It is given that open parenthesis, x minus 2y, close parenthesis, times open parenthesis, x plus 2y, close parenthesis, is equal to 4.
Quantity A: x squared minus, open parenthesis, 4 times the quantity y squared, close parenthesis
Quantity B: 8
Answer choice A - Quantity A is greater.
Answer choice B - Quantity B is greater.
Answer choice C - the two quantities are equal.
Answer choice D - the relationship cannot be determined from the information given.
From the answer choices given, select and indicate the one that describes the relationship between quantity A and quantity B.
Question 3
A certain recipe requires three-halves cups of sugar and makes two dozen cookies. Parenthetical note: One dozen equals 12.
Quantity A: The amount of sugar required for the same recipe to make 30 cookies.
Quantity B: 2 cups
Answer choice A - Quantity A is greater.
Answer choice B - Quantity B is greater.
Answer choice C - the two quantities are equal.
Answer choice D - the relationship cannot be determined from the information given.
From the answer choices given, select and indicate the one that describes the relationship between quantity A and quantity B.
Question 4
It is given that a power station is located on the boundary of a square region that measures 10 miles on each side. Three substations are located inside the square region.
Quantity A: The sum of the distances from the power station to each of the substations
Quantity B: 30 miles
Answer choice A - Quantity A is greater.
Answer choice B - Quantity B is greater.
Answer choice C - the two quantities are equal.
Answer choice D - the relationship cannot be determined from the information given.
From the answer choices given, select and indicate the one that describes the relationship between quantity A and quantity B.
Question 5
It is given that 6 is less than x, which is less than 7. It is also given that y equals 8.
Quantity A: the fraction x over y
Quantity B: zero point eight five
Answer choice A - Quantity A is greater.
Answer choice B - Quantity B is greater.
Answer choice C - the two quantities are equal.
Answer choice D - the relationship cannot be determined from the information given.
From the answer choices given, select and indicate the one that describes the relationship between quantity A and quantity B.
Question 6
Refer to the figure supplement
The figure accompanying this question consists of a circle and triangle AOB, where O is the center of the circle and A and B are points that lie on the circle. In the triangle the measure of angle AOB is 60 degrees.
In addition, it is given that the perimeter of triangle AOB is 6.
Quantity A: The circumference of the circle
Quantity B: 12
Answer choice A - Quantity A is greater.
Answer choice B - Quantity B is greater.
Answer choice C - the two quantities are equal.
Answer choice D - the relationship cannot be determined from theinformation given.
From the answer choices given, select and indicate the one that describes the relationship between quantity A and quantity B.
