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Revised GRE Math Practice Questions

Maybe you’ve been prepping for months or maybe this is your first foray on-line to see what this GRE thing is all about. Regardless, you need to do well on Quant, so you want to have a sense of where on the Revised GRE scale of 130 – 170 you are scoring. Below are some practice questions that will help you both sharpen your skills and determine at what level you are scoring. So if you struggle with the 165 – 170 problem, don’t despair.

Finally, these five practice questions cover the range of concepts you can expect to see. So if you answered an easier question incorrectly, it is not that you are necessarily at the 150 mark. Perhaps you are struggling with a certain area. No worries – click above each question to access even more practice problems dealing with a certain concept. Good luck!

 

Question Type: Multiple Answer Questions (Choose all that apply)

Concept: Absolute Value/Algebra
Level: 145 – 150

What are all the possible solutions of | |x – 2| – 2| = 5?

  1. -5
  2. -3
  3. -1
  4. 7
  5. 9

Question Type: Multiple Choice

Concept: Symbolic Reasoning/Exponents
Level: 165 – 170

If (a^2)(b) is an integer which of the following must be an integer?

  1. a
  2. b
  3. ab
  4. b^2
  5. None of the above

Question Type: Numeric Entry

Concept: Prime Numbers/Factors
Level: 150 – 155

How many positive integers less than 100 are the product of three distinct primes?     [    ]

Question Type: Quantitative Comparison

Concept: Exponents and Fractions
Level: 155 – 160

-1

Column A Column B
[pmath]x^3 x^6

 

  1. The quantity in Column A is greater
  2. The quantity in Column B is greater
  3. The two quantities are equal
  4. The relationship cannot be determined from the information given

 

Question Type: Multiple Choice

Concept: Geometry/Variables in Answer Choices
Level: 160 – 165

A square garden is surrounded by a path of uniform width. If the path and the garden both have an area of x, then what is the width of the path in terms of x? (160 – 165)

  1. x sqrt{2}
  2. 2 sqrt{x} - sqrt{2}
  3. {sqrt{2}/2} - {x/4}
  4. x sqrt{2} - {x/2}
  5. {sqrt{2x}/2} - {sqrt{x}/2}

 

Answers:

1. (A, E)
2. E
3. 5
4. D
5. E

Click here for the explanations post.

 

Takeaway

With any practice problems the key is trying to figure out why you answered the questions incorrectly. At first this process can be frustrating. But remember, by forcing yourself to figure out the answer, instead of turning to an explanation, you will understand the problem at a deeper level and so be less likely to miss a similar problem in the future.

If you are still unsure about the answers to the problems above, let me know and I will provide an explanation. For hundreds of Revised GRE practice problems, both math and verbal, try out Magoosh today. Not only do we offer text explanations we also provide excellent video explanations.

About the Author

Chris Lele has been helping students excel on the GRE, GMAT, and SAT for the last 10 years. He is the Lead Content Developer and Tutor for Magoosh. His favorite food is wasabi-flavored almonds. Follow him on Google+!

5 Responses to Revised GRE Math Practice Questions

  1. trubulu December 28, 2011 at 6:23 am #

    yeah , priya demanded right thing i think! we need at least a brief explanation.

    • Margarette December 28, 2011 at 10:23 am #

      We’ll have the explanations up next week, so keep an eye out for a new follow-up post coming soon!

  2. priya December 26, 2011 at 10:41 pm #

    It would be great if we can get explanation for all of the question ans.

    • Ahmad December 28, 2011 at 10:39 am #

      1. in place of x put all the values||x-2|-2|
      for x= 5
      ||-5-2|-2|=|7-2|=5
      similarly for x=9

      ||9-2|-2|=|7-2|=5

      2.
      Consider if – a=2^1/3, and let b=2^1/3 for case a=b

      (a^2)*(b)=2
      but none of the option except (E) is suitable.
      hope this would suffice

      3. prime no. are 2,3,5,7,11,13,17…..
      2*3*5=30
      2*3*7=42
      2*3*11=66
      2*3*13=78
      2*3*17=greater then 100
      2*5*7=70
      2*5*11=greater than 100

      ans=5

      4. couldn’t understand the question

      5.
      let length of square = ‘L’
      therefore area of square=L^2
      and from question L^2=X———–1

      let ‘w’ be the width of path
      {bit of analyzing is required} area of path = 4(L+w)(w)=X ———–2

      solve the two equ.

      (a^2)*(b)=2
      but none of the option except (E) is suitable.
      hope this would suffice .

      • Chris December 28, 2011 at 1:37 pm #

        Great job, Ahmad!

        I’ll post a longer explanation soon!


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