Easy GRE Quantitative Reasoning Set 1 Practice Questions

Concept Explanation

GRE Quantitative Reasoning measures your ability to solve problems using basic mathematical concepts from arithmetic, algebra, geometry, and data analysis.

Success on the GRE begins with a solid foundation in fundamental principles. This includes understanding the properties of integers, performing operations with fractions and decimals, and solving linear equations. At the easy level, questions often test your direct application of formulas rather than complex multi-step reasoning. For instance, you might be asked to find the average of a small set of numbers or determine the area of a rectangle. Familiarizing yourself with GRE Prep resources ensures you are comfortable with the test format and the basic mathematical conventions used by ETS. These easy GRE Quantitative Reasoning Set 1 practice questions are designed to build your confidence and help you identify areas where you may need further review before moving on to more difficult GRE practice questions with answers.

Solved Examples

Review these worked examples to understand the logic required for standard GRE math problems.

1. Arithmetic Example: If $x + 7 = 15$, what is the value of $2x - 3$?
   1. First, isolate $x$ by subtracting 7 from both sides: $x = 15 - 7$, so $x = 8$.
   2. Substitute the value of $x$ into the second expression: $2(8) - 3$.
   3. Perform the multiplication: $16 - 3 = 13$.
   4. The final answer is 13.
2. Geometry Example: A rectangular garden has a length of 10 feet and a width of 4 feet. What is its perimeter?
   1. Recall the formula for the perimeter of a rectangle: $P = 2l + 2w$.
   2. Substitute the given values: $P = 2(10) + 2(4)$.
   3. Calculate the products: $20 + 8$.
   4. The perimeter is 28 feet.
3. Data Analysis Example: The average (arithmetic mean) of four numbers is 20. If three of the numbers are 15, 25, and 18, what is the fourth number?
   1. Use the average formula: $\text{Average} = \frac{ \text{Sum}}{ \text{Number of items}}$.
   2. Set up the equation: $20 = \frac{15 + 25 + 18 + x}{4}$.
   3. Multiply both sides by 4 to clear the denominator: $80 = 15 + 25 + 18 + x$.
   4. Simplify the sum: $80 = 58 + x$.
   5. Subtract 58 from 80 to find $x = 22$.

Practice Questions

1. If $3n - 5 = 16$, what is the value of $n$?

2. A shirt originally priced at $40 is on sale for 25% off. What is the sale price of the shirt?

3. What is the area of a circle with a radius of 5? (Use $\pi$ in your answer.)

4. If the ratio of boys to girls in a class is 3:5 and there are 40 students in total, how many girls are in the class?

5. Which is greater: $\frac{3}{4}$ or $\frac{7}{9}$?

6. Solve for $y$: $2(y + 3) = 14$.

7. A car travels 180 miles in 3 hours. What is its average speed in miles per hour?

8. If $x^2 = 49$ and $x > 0$, what is the value of $x + 5$?

9. A square has a perimeter of 36 inches. What is the area of the square in square inches?

10. If the set of numbers is {4, 8, 12, 16, 20}, what is the median?

Answers & Explanations

1. 7: Add 5 to both sides to get $3n = 21$. Divide by 3 to find $n = 7$.
2. $30: Calculate 25% of $40: $0.25 \times 40 = 10$. Subtract the discount from the original price: $40 - 10 = 30$.
3. $25\pi$: The area of a circle is $A = \pi r^2$. Substituting 5 for $r$, we get $A = \pi (5^2) = 25\pi$.
4. 25: The total ratio units are $3 + 5 = 8$. Each unit represents $40 / 8 = 5$ students. Since there are 5 units for girls, $5 \times 5 = 25$.
5. $\frac{7}{9}$: Convert to decimals or find a common denominator. $\frac{3}{4} = 0.75$ and $\frac{7}{9} \approx 0.77$. Therefore, $\frac{7}{9}$ is greater.
6. 4: Divide both sides by 2 to get $y + 3 = 7$. Subtract 3 to find $y = 4$.
7. 60 mph: Speed is distance divided by time. $180 / 3 = 60$.
8. 12: Since $x^2 = 49$ and $x$ is positive, $x = 7$. Then $7 + 5 = 12$.
9. 81: A square has four equal sides, so each side is $36 / 4 = 9$ inches. Area is $\text{side}^2$, so $9^2 = 81$.
10. 12: The median is the middle value in a sorted list. In {4, 8, 12, 16, 20}, the middle number is 12.

1. What is the value of \( 5^3 \)?

• A15
• B25
• C125
• D625

Frequently Asked Questions

What math level is required for the GRE?

The GRE Quantitative Reasoning section tests math typically taught in high school, including arithmetic, algebra, geometry, and data analysis. It does not include high-level calculus or trigonometry.

Are calculators allowed on the GRE?

Yes, an on-screen calculator is provided during the computer-based GRE for basic arithmetic operations. You are not allowed to bring your own handheld calculator into the testing center.

How is the GRE Quantitative score calculated?

Your score is based on the number of correct answers across two sections, using an adaptive format where the difficulty of the second section depends on your performance in the first. For more practice, you can use the AI Exam Simulator to mimic this experience.

What is a good score on the GRE Quantitative section?

While "good" depends on your target graduate program, the average score is typically around 153-154. Top-tier engineering or science programs often look for scores above 160.

Can I skip questions and come back to them?

Yes, the GRE allows you to move forward and backward within a single section. You can mark questions you find difficult and return to them later if time permits.