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GRE Quantitative Practice Questions — Arithmetic and Number-Theory Problems

    
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This GRE math review consists of 10 GRE Quantitative practice questions — all emphasizing arithmetic and number theory. Some questions are in the Problem Solving format; others are in the Quantitative Comparison format.
    NOTE: During your GRE Quantitative section, 10-12 out of all 28 questions will focus chiefly on arithmetic and number theory; these questions will be interspersed with algebra, geometry, and data-analysis questions.
In addition to attempting the practice questions here, be sure to review these related topics:

Instructions for GRE Quantitative Practice Questions

  1. Review the test directions (below).

  2. Go to the first practice question ("Begin Practice"). Select an answer choice by clicking on a button, then click on "Answer/Analysis" (or go directly to the next question). Use your browser's BACK button to review your responses.

  3. This is not a timed test. But if you want to simulate timed testing conditions, limit yourself to 20 minutes for all 10 questions.

  4. To gauge your performance, tally up your correct responses. After completing all four sets of GRE Quantitative practice questions (34 questions altogether), you can convert your grand total to a Quantitative scaled score using this Quantitative score conversion table.
 
OFFICIAL TEST DIRECTIONS

Directions for Problem Solving Questions

Questions 1, 4, 7, 8, and 10 are Problem Solving questions. Solve each problem and indicate the best of the answer choices given.

All numbers used are real numbers.

Directions for Quantitative Comparison Questions

Questions 2, 3, 5, 6, and 9 each consists of two quantities, one in Column A and one in Column B. Compare the two quantities and indicate:
.
(A) if the quantity in Column A is greater
(B) if the quantity in Column B is greater
(C) if the quantities are equal
(D) if the relationship cannot be determined from the information given
.
In some questions, additional information pertaining to one or both of the quantities to be compared is centered above the two columns.
.
Any symbol appearing in both columns represents the same thing in one column as in the other.
.
All numbers used are real numbers.
 
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