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What are some tough GRE math questions?

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The GRE math section, or Quantitative Reasoning, covers a range of mathematical concepts, including arithmetic, algebra, geometry, and data analysis. Here are some examples of tough math questions you may encounter on the GRE:

  1. Advanced algebra: Questions that involve solving complex equations, working with logarithms or exponentials, or manipulating matrices.

  2. Geometry: Questions that involve proving geometric theorems, working with geometric figures, or using trigonometry.

  3. Data Analysis: Questions that involve working with data sets, analyzing graphs and charts, or using statistics to answer questions.

  4. Word problems: Questions that involve reading and interpreting text, and using math to solve problems.

  5. Quantitative Comparison: Questions that involve comparing quantities of a question and determining which one is greater, smaller or equal.

It's important to note that practice is key to improve your math skills and your ability to solve these types of problems. You can use official practice materials and take practice tests to familiarize yourself with the types of questions you will encounter on the GRE and to improve your ability to solve them.

Here are some examples of tough GRE math questions that you may encounter on the exam:

  1. If the perimeter of a square is equal to the circumference of a circle with the same radius, what is the ratio of the area of the square to the area of the circle?

  2. If x and y are positive integers such that x^2 - y^2 = 15, what is the value of x + y?

  3. If a and b are positive integers, what is the value of (a+b)^3?

  4. If 2^x = 64, what is the value of x?

  5. If the equation x^2 - 10x + 24 = 0 has two distinct solutions, what is the value of one of the solutions?

  6. If the graph of y = mx + b is a line with a slope of m = 2 and a y-intercept of b = 3, what is the equation of the line in slope-intercept form?

  7. The price of a stock decreases by 8% in the first month and increases by 8% in the second month. What is the net percentage change in the price of the stock?

  8. If a and b are positive integers, what is the value of a*b^2?

  9. What is the value of (3x+5y)^2?

  10. If a, b, and c are positive integers, what is the value of (a+b+c)^3?

Please note that these are just examples and the actual questions on the GRE can vary. These are meant to give you an idea of the level of difficulty you can expect on the GRE math section.






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