Easy GRE Problem Solving Questions Practice Questions

Easy GRE Problem Solving Questions focus on fundamental arithmetic, algebra, geometry, and data analysis concepts that require direct application of mathematical rules. These questions typically appear early in the GRE Prep journey and serve as the foundation for more complex quantitative reasoning tasks. By mastering these types of problems, test-takers can secure quick points and build the confidence necessary for the harder sections of the exam.

Concept Explanation

Easy GRE Problem Solving Questions are multiple-choice math problems that test your ability to solve a specific quantitative task using basic mathematical principles. These questions often involve standard operations like percentages, ratios, linear equations, and simple geometric properties. Unlike the more complex Quantitative Comparison or Data Interpretation sets, Problem Solving questions follow a traditional format where you select one correct answer from five choices. Success on these introductory problems relies on a firm grasp of the ETS Quantitative Reasoning framework, which emphasizes logic and precision over high-level calculus or trigonometry. To excel at this level, you should focus on three core areas:

1. Arithmetic: Properties of integers, fractions, and decimals.
2. Algebra: Solving for a single variable and simplifying expressions.
3. Geometry: Basic area, perimeter, and angle calculations for circles, triangles, and rectangles.

Solved Examples

1. Percentage Calculation: If a shirt originally costs $40 and is on sale for 25% off, what is the sale price?

1. First, calculate the discount amount by multiplying the original price by the discount percentage: $40 \times 0.25 = 10$.
2. Subtract the discount from the original price to find the sale price: $40 - 10 = 30$.
3. The sale price is $30.

2. Simple Algebra: Solve for $x$ in the equation $3x + 7 = 22$.

1. Subtract 7 from both sides of the equation: $3x = 15$.
2. Divide both sides by 3 to isolate $x$: $x = \frac{15}{3}$.
3. The value of $x$ is 5.

3. Geometry Basics: A rectangular garden has a length of 8 meters and a width of 5 meters. What is the area of the garden?

1. Recall the formula for the area of a rectangle: $\text{Area} = \text{length} \times \text{width}$.
2. Substitute the given values into the formula: $\text{Area} = 8 \times 5$.
3. The area is 40 square meters.

Practice Questions

1. A car travels at a constant speed of 60 miles per hour. How many miles will it travel in 2.5 hours? 2. If $2y - 5 = 11$, what is the value of $y$? 3. In a class of 30 students, 12 are male. What percentage of the class is female? 4. A circle has a radius of 7. What is its circumference? (Use $\pi \approx \frac{22}{7}$) 5. If the ratio of apples to oranges in a basket is 3:4 and there are 12 apples, how many oranges are there? 6. Solve for $z$: $\frac{z}{4} + 10 = 15$. 7. The sum of three consecutive integers is 45. What is the smallest of these integers? 8. A laptop is sold for $540 after a 10% tax was added to the original price. What was the original price before tax? 9. What is the average (arithmetic mean) of 14, 18, 22, and 26? 10. If a triangle has a base of 10 cm and a height of 6 cm, what is its area?

Answers & Explanations

1. 150 miles. Using the distance formula $d = r \times t$, we multiply the speed (60 mph) by the time (2.5 hours) to get $60 \times 2.5 = 150$. For more on basic arithmetic, check out GRE Practice Questions with Answers. 2. 8. Add 5 to both sides: $2y = 16$. Then divide by 2: $y = 8$. 3. 60%. If 12 students are male, then $30 - 12 = 18$ are female. The percentage is $\frac{18}{30} \times 100 = 0.6 \times 100 = 60\%$. 4. 44. The formula for circumference is $C = 2\pi r$. Substituting the values, we get $2 \times \frac{22}{7} \times 7 = 44$. 5. 16. Set up a proportion: $\frac{3}{4} = \frac{12}{x}$. Cross-multiply: $3x = 48$, so $x = 16$. 6. 20. Subtract 10 from both sides: $\frac{z}{4} = 5$. Multiply both sides by 4: $z = 20$. 7. 14. Let the integers be $n$, $n+1$, and $n+2$. Their sum is $3n + 3 = 45$. Subtract 3: $3n = 42$. Divide by 3: $n = 14$. 8. $490.91 (or $500 if the tax is 8%). Wait, let's re-calculate for a clean integer: if $1.10x = 550$, then $x = 500$. For $540, the original price is $\frac{540}{1.10} \approx 490.91$. On the GRE, these usually result in cleaner numbers. Try our AI Question Generator for more variations. 9. 20. Add the numbers: $14 + 18 + 22 + 26 = 80$. Divide by the count: $\frac{80}{4} = 20$. 10. 30 cm². The formula for the area of a triangle is $\frac{1}{2} \times \text{base} \times \text{height}$. Thus, $\frac{1}{2} \times 10 \times 6 = 30$. You can find similar geometry drills in Free GRE Practice Questions.

1. If a bag contains 5 red marbles and 15 blue marbles, what is the probability of picking a red marble at random?

• A1/4
• B1/3
• C1/5
• D3/4

Frequently Asked Questions

What defines an "easy" problem on the GRE?

An easy problem typically requires only one or two steps to solve and tests direct knowledge of a mathematical property. These questions avoid the complex phrasing or multi-layered logic found in harder difficulty tiers.

How much time should I spend on easy GRE problem solving questions?

Ideally, you should aim to solve easy questions in under 60 seconds to save time for more difficult problems later in the section. Practicing with an AI Exam Simulator can help you improve your pacing and accuracy.

Are calculators allowed for these questions?

Yes, the GRE provides an on-screen calculator for the Quantitative Reasoning section, but for easy questions, mental math is often faster. Use the calculator only for multi-digit multiplication or division to avoid input errors.

Do easy questions count less toward my final score?

No, every question within a specific section carries the same weight toward your raw score. Because the GRE is section-adaptive, performing well on these easy questions is vital to reaching the higher-difficulty second section.

What is the best way to avoid silly mistakes on easy questions?

Always read the final line of the question twice to ensure you are answering exactly what is asked, such as finding the diameter instead of the radius. Writing down your intermediate steps, even for simple algebra, can also prevent mental lapses.