Magoosh GRE Quantitative Diagnostic Test

Take the Magoosh GRE Quant Diagnostic QuizWant to measure your GRE baseline? Looking to sharpen your quant skills with some GRE math practice? Here is a GRE diagnostic quiz (a mini-GRE practice test, if you will) that can help you get a strong start as you launch into your GRE prep and get ready for test day.

If you’re interested in learning more about what this diagnostic includes, scroll down to learn more. Otherwise, you can get started now!

Take the Magoosh GRE Diagnostic Test for Quant

Welcome to the Magoosh GRE Quantitative Diagnostic Quiz! This quiz has 10 questions; instructions for each prompt will appear above the question. After you take the quiz, we will email you your results along with custom GRE prep recommendations. Like the GRE itself, this Diagnostic is challenging. Take a deep breath and do your best.


Question 1 of 10

1. Consider each of the choices separately and select all that apply.

Both P and Q are positive numbers, and S is a negative number. Which of the following fractions could be undefined?

Question 1 of 10

Question 2 of 10

2. The average (arithmetic mean) weight of 18 automobiles is 3500 pounds.

No automobile weighs exactly 3500 pounds.

Column A: Number of automobiles that weigh more than 3500 pounds.

Column B: Number of automobiles that weigh less than 3500 pounds.

Question 2 of 10

Question 3 of 10

3. Enter the answer as a fraction.   gre practice test magoosh   What is the value of x? Give your answer as fraction.

Question 3 of 10

Question 4 of 10

4. Choose the correct statement.
gre practice test magoosh

Question 4 of 10

Question 5 of 10

5. Choose the option that best answers the question.

A container currently holds 4 quarts of alcohol and 4 quarts of water. How many quarts of water must be added to the container to create a mixture that is 3 parts alcohol to 5 parts water by volume?

Question 5 of 10

Question 6 of 10

6. 7 years ago, Samir was 3 times as old as Deepak. In 4 years, Samir will be twice as old as Deepak. What is Deepak’s present age?

Question 6 of 10

Question 7 of 10

7. Choose the option that best answers the question.

At a certain store, one can buy 6 cans of juice for $8. How many cans of this same juice could one buy with $48?

Question 7 of 10

Question 8 of 10

8. Choose the option that best answers the question.
gre practice test magoosh

Question 8 of 10

Question 9 of 10


AB = 12, AC = 10, AD = 18

Note: the region above is circular

Column A: x
Column B: y

Question 9 of 10

Question 10 of 10

10. If four numbers are randomly selected without replacement from set {1, 2, 3, 4}, what is the probability that the four numbers are selected in ascending order?

Question 10 of 10


The Making of this Miniature GRE Practice Test, and How it Can Help you Prepare for the GRE

As you can see, the above diagnostic as a miniature (not full length!) Quant GRE practice test. Through careful data analysis, Magoosh put together the most representative 10-question set possible, covering the most common question types and topics. The questions in the quiz come from the Magoosh GRE Quantitative question bank. You can think of them as a very small sampling of the kinds of questions you might see on test day.

On that note… take the Magoosh GRE Quantitative Diagnostic quiz!

How the Magoosh GRE Quantitative Diagnostic Test Compares to GRE Test Day

On test day, you’ll see 40 Quant questions rather than 10. While we did our best to cover a good range of multiple choice questions and numeric entry questions on this diagnostic test, there will be a much fuller breadth of Quant questions when you sit for the real exam. For a look at that question types and content you should study in your overall GRE Prep, read Magoosh’s breakdown of GRE Quant concepts by frequency.

Let the Diagnostic Help You Choose from GRE Study Plans

Magoosh has created a number of different study schedules to suit your study needs. The Magoosh Quant diagnostic can help you select a study plan that’s right for you. So be sure to check out the recommendations you get in your diagnostic score report. From there, you can compare your results against the various GRE study plans Magoosh offers.

Other GRE Prep to Go With this GRE Quant Diagnostic Test

Did you know that Magoosh has other free practice for the GRE too? For example, there’s our a full length free GRE practice test? We also have a recommended list of additional free GRE practice tests and other GRE free practice resources.

In addition to that list of resources, Magoosh offers free tutorials on the different GRE Quantitative problem solving question types. We also cover the GRE Quantitative Comparison question type, and give advice on specialized GRE math content such as Data Analysis, Geometry, Statistics, and so on. And of course, Magoosh GRE offers Quant video lessons and practice questions aplenty.

Last but certainly not least, this GRE Quantitative quiz comes with a companion GRE Verbal diagnostic quiz. And we have an overview of both quizzes with some advice on how to use them.

P.S. Ready to improve your GRE score? Get started today.

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47 Responses to Magoosh GRE Quantitative Diagnostic Test

  1. Stef October 26, 2018 at 12:30 am #

    These questions seemed easier and without any ‘tricks’ compared to the ones I faced in the original ETS practice book. Maybe only one of the 10 here gave a real fight, but for most of them even if you didn’t know how to approach them you can always procede with induction calculations, which i concede are time consuming but nothing it cant be managed without a calculator.
    Here I scored 9/10, while in the ETS book I usually score around 70-75%.
    In a comparison I think the Verbal questions were a more accurate rapresentation of the level needed for the General test.
    IMO ofc.

    • Magoosh Test Prep Expert
      Magoosh Test Prep Expert October 26, 2018 at 10:51 am #

      Hi Stef,

      Thank you for your feedback and perspective! We really caution against drawing too direct a parallel between this diagnostic quiz and overall test performance or score. A 90% in this test does not equate to a 90% accuracy in practice tests or other general practice. This test is meant to be taken when you begin studying in order to choose a study plan that is best for you! It takes much more practice and preparation to be ready for a test like the GRE, and this diagnostic is meant to give you a sense of how long you should study and where your starting point is 🙂

  2. Ali August 31, 2018 at 2:04 am #

    Hi, my major is mechanical engineering and I am thinking of preparing for the GRE test. Is there is a specific type of GRE designated for the mechanical engineering?

    • Magoosh Test Prep Expert
      Magoosh Test Prep Expert August 31, 2018 at 9:32 am #

      Hi Ali,

      The GRE General test is a general admissions test that is used for most graduate program, and is supposed to measure your general quantitative and verbal skills and readiness for graduate school. Some schools also require a GRE Subject Test, which is a more specific measure of skills related to your program of interest. Subject tests are usually not required, but they can provide you with a competitive edge and they provide you with an opportunity to show specific skills. ETS offers six different GRE Subject Tests, in the content areas of Biology, Chemistry, Literature in English, Mathematics, Physics, and Psychology. I recommend that you research the admissions requirements for your target schools to see if they accept, recommend or require GRE Subject tests. If not, then the GRE General Test is all you need!

  3. Ayush August 4, 2018 at 11:06 am #

    i have my exam on 7 th august that is 2 days from now and i got 7 correct what does that mean ? how to improve

    • Magoosh Test Prep Expert
      Magoosh Test Prep Expert August 8, 2018 at 10:25 am #

      Hi Ayush,

      I think that this response will be too late for you–it can take us a while to work through all of the comments from the blog! This diagnostic test is meant to help students who are just starting out in their studies. We can’t draw any specific score conclusions from these questions–after all, there are only 10, and the GRE is a comprehensive and long test!

    • Dan July 16, 2020 at 10:33 pm #

      Ayush, my man. How did you do? We are all wondering!

  4. Rishesh Jha August 1, 2018 at 2:56 pm #


    I was looking for two Powerprep test papers of ETS in PDF format having total page count of 121 ,but i am not able to find it .Please help me getting the links of it

    • Magoosh Test Prep Expert
      Magoosh Test Prep Expert August 8, 2018 at 9:32 am #

      Hi Rishesh,

      I’m afraid I’m not quite sure what PDFs you are looking for! I don’t know of any resources that match your description. The Powerprep tests are available for free online through your ETS accounts. They are fully online because they are meant to mimic the structure of the exam. There is a Practice Book for the paper-based GRE exam, but it’s only 117 pages and has one full-length exam. I hope that helps!

  5. kaushik ramnath June 10, 2018 at 8:31 am #

    Can anyone explain “QUESTION-9” please

    • Magoosh Test Prep Expert
      Magoosh Test Prep Expert June 15, 2018 at 10:54 am #

      Hi Kaushik,

      The easiest way to do this is to plug in a value for the sides and area of a square and see what happens if you double it! One reader, Kaushik, recently provided a great explanation for this :

      “Taking an example of first square of side 2 to have an area 4. Now, double the area to get 8. Therefore, the side of the new square becomes 2*(2^1/2). Percent increase is given by, (new value-original value/original value * 100. [2*(2^1/2) – 2]/2 * 100 = 41.4% i.e., less than 50%”

      So the answer is (B): quantity B is greater.

  6. will May 22, 2018 at 9:41 am #

    what does it mean that i got a Quant Score: 7-8 Points? What value is that in the GRE scoring system?

    • Magoosh Test Prep Expert
      Magoosh Test Prep Expert May 24, 2018 at 5:26 pm #

      Hi Will,

      You should have gotten an email with a full explanation of the questions and study schedule recommendations! This score is meant to provide a baseline for study advice for students, but it’s not meant to actually provide a predictive GRE score. The GRE is a long a complex test, and there are many factors that go into the final score; one set of 10 questions can’t possibly predict that! However, a score of 7-8 is pretty solid for the quant section, and it’s a good starting point for your studies!

  7. Siva May 8, 2018 at 10:41 am #

    Please suggest me best quant materials that to prepare to get high score in gre

    • Magoosh Test Prep Expert
      Magoosh Test Prep Expert May 8, 2018 at 10:56 am #

      Hi Siva,

      You can find our complete book reviews on this blog post:

      You’ll see in-depth analysis of different test prep resources, including reviews for quant materials!

  8. Mina February 21, 2018 at 2:34 pm #

    Can you explain question 9, please?

    • Magoosh Test Prep Expert
      Magoosh Test Prep Expert February 23, 2018 at 10:48 am #

      Hi Mina,

      I’m going to pass your question on to one of our tutors so that we don’t give the answer away here on the blog 🙂 You should hear from them soon!

  9. Zoe February 20, 2018 at 3:04 pm #

    Can you provide an explanation for the second problem? If there is already one there, I can’t see it. Thanks

    • Magoosh Test Prep Expert
      Magoosh Test Prep Expert February 21, 2018 at 12:22 pm #

      I just did a quick runthrough of the quiz myself, and I can’t see a full explanation for problem 2 either. Sorry about that!

      Here is my explanation:

      What you’re doing here is averaging the total number of items in two groups, combined. When you do this, the final average will be closest to the average for the larger of the two groups. In this case, the individual group averages are 250,000 for County X and 300,000 for County Y. The combined average for the two groups is 265,000. This is much closer to County X’s 250K average than it is to County Y’s 300K average. So with a combined average so much closer to County X’s original average, County X must have far more “items”– far more houses in this case.

  10. Ankita Patel February 7, 2018 at 5:42 am #

    i got 3 scores
    i know its not at all good but im ready to improve my score.
    can you please provide guidance to improve my score, Chris?

    • Magoosh Test Prep Expert
      Magoosh Test Prep Expert February 7, 2018 at 6:06 pm #

      Hi Ankita,

      First–the diagnostic test is difficult and it’s meant to challenge you! Many students only get a few correct when they first take it. You should have received recommendations in your email to help you decide how to proceed with your studies! I recommend that you start with our study plans, which will give you a good idea of what you must do to succeed on the GRE! I recommend that you give yourself at least three months to dedicate to your studies. If you are looking for high quality and low cost preparation materials, you should definitely check out our Magoosh Premium Program 🙂

      There’s no secret formula that will automatically get you a top score on the GRE. However, with hard work, good strategy and plenty of practice, you will see improvement! I hope this helps 🙂

  11. Tamara November 3, 2017 at 5:54 pm #

    What’s the estimated score if I got 6/10 correct? Also what does the “Quant Score” mean?

    • Magoosh Test Prep Expert
      Magoosh Test Prep Expert November 8, 2017 at 3:45 pm #

      Hi Tamara,

      These are not meant to give you an estimated score, but rather to give you a taste of what the quant section is like and where your weaknesses may lie. The “quant score” is just your grouping on this test, so that number is out of 10 questions answered. 🙂

  12. Chris October 30, 2017 at 8:47 am #

    Hi! I got Question 9 wrong and cannot figure out how to approach this problem. Can you please provide an explanation for Question 9? Thank you so much for your help!!!

    • Magoosh Test Prep Expert
      Magoosh Test Prep Expert October 31, 2017 at 11:28 am #

      Hi Chris,

      After submitting the test, you should receive an email that provides you with your score and answer explanations for each question. Check for inbox or spam folder to see if you got it! Unfortunately, we can’t provide the answer here because we don’t want to put up any “spoilers” for others who want to take the quiz 🙂

      • Richard Victor Biswas January 10, 2018 at 9:06 am #

        After getting the mail and looking for the solution to Question 9 from it, I failed to find that anywhere.

        • Magoosh Test Prep Expert
          Magoosh Test Prep Expert January 11, 2018 at 6:59 am #

          Hi Richard,

          Sorry you haven’t gotten access to your answers yet. That sounds frustrating. 🙁 I see you have a Magoosh GRE Premium account with us. I’ll get Premium support in touch with you via email ASAP.

        • Morgan January 16, 2018 at 6:30 am #

          Have you tried using a practical example? Say you had a square of size 4 and you doubled it to size 8. How much would each of the sides increase in length? If you used the right reasoning, you can see that this applies to any square and determine the exact increase in length.

    • Kruthi June 8, 2018 at 9:29 am #

      Taking an example of first square of side 2 to have an area 4. Now, double the area to get 8. Therefore, the side of the new square becomes 2*(2^1/2). Percent increase is given by, (new value-original value/original value * 100. [2*(2^1/2) – 2]/2 * 100 = 41.4% i.e., less than 50%

      • Magoosh Test Prep Expert
        Magoosh Test Prep Expert June 15, 2018 at 10:51 am #

        Great example, Kruti!

  13. Chris October 18, 2017 at 7:14 pm #

    Can you explain the answer to Question #2? (or tell me where to find it in the paid materials since I’ve paid for the product 😉

    • Magoosh Test Prep Expert
      Magoosh Test Prep Expert October 18, 2017 at 10:33 pm #

      Please email! Since you’re a premium user, our test prep experts will help you in depth with your question. 🙂

  14. Anish Ray October 9, 2017 at 10:36 am #

    Hi there I just submitted my test after fifnishing all the questions but it is showing ” Error: ERROR ERROR” after I submitted. Will I have to write the test again?

    • Magoosh Test Prep Expert
      Magoosh Test Prep Expert October 9, 2017 at 10:39 am #

      Please email and a technical expert will try to help you! 🙂

  15. Samantha September 24, 2017 at 12:56 pm #

    Question number 3 instructs that I should enter my answer as a fraction. I entered 6/15, which is the correct answer in fraction form, although not simplified. This answer was marked as incorrect. On the actual test, am I required to simplify fractions, even if the question doesn’t state that doing so is required? If my answer would be marked as correct on the actual test, you should consider updating your website to reflect this.

    • Magoosh Test Prep Expert
      Magoosh Test Prep Expert September 25, 2017 at 3:18 pm #

      Hi Samantha,

      This is an issue with the diagnostic. I will let the team know (but it might not allow for this kind of variance). On the real GRE, you don’t have to reduce as long as you enter a valid fraction! So 6/15 is acceptable and 2/5 is also fine, etc. I hope that clarifies!

  16. Shivang September 15, 2017 at 1:01 am #

    I score 10 correct but it gives me 9 points out of 10. Can I please know my approximate math score through this

    • Magoosh Test Prep Expert
      Magoosh Test Prep Expert September 19, 2017 at 10:06 am #

      Hi Shivang,

      The GRE Diagnostic test is meant to give you a general sense of what you need to improve and how long you should study, but unfortunately it is not enough information to determine your approximate math score. Magoosh students with Premium accounts have access to a score estimator that helps them to track their progress, but we are only able to estimate this once the student has answered over 100 questions–we need more information about your skills and knowledge first!

      However, this high score is a good indicator of success on the quant section. Not many students can achieve such a high score on our diagnostic test, so this means that you are already comfortable with many of the quant concepts that will come up in the GRE. For a more more accurate score prediction, I recommend that you complete one of the free ETS Powerprep tests. It is made by the test-makers, so it gives you the best score prediction possible!

  17. David September 9, 2017 at 1:56 pm #

    I got a 9 out of 10, but I have a qualm with the phrasing of question 2 (surprising that it’s the question I missed, I know). For this kind of question, wording is important. I often try to simplify “scenario” questions into purely mathematical terms, and I read “the average price of a home in both County X and Y is 265,000” to mean “the price of a home which occupies both counties.”

    Speaking in purely logical terms, it now seems obvious that a home cannot be in two counties at the same time, but consider this seemingly similar question:

    “The average height of people with green eyes is 62 inches. The average height of people with brown hair is 67 inches. The average height of a person with both green eyes and brown hair is 64 inches. Choose the most appropriate response:

    A) The number of people with green eyes is greater
    B) The number of people with brown hair is greater
    C) The number of people with green eyes is equal to the number of people with brown hair
    D) There is not enough information given to determine any of the above.

    The proper response to the above question would be D. Wording is very important when constructing and interpreting questions.

    • Magoosh Test Prep Expert
      Magoosh Test Prep Expert September 19, 2017 at 9:56 am #

      Hi David,

      I understand your concern here, but we also must use logic to answer these questions. Specifically, the meaning of these questions changes based on the context and information given. In the hair/eyes example, you are not talking about mutually exclusive events. A person can have both green eyes AND brown hair, they can have one feature and not the other, or they can have neither feature. This means that there are people who are included in the green eye group and the brown hair group that are not included in the combined group, which makes it impossible to tell how many people are actually in each group.

      In the case of the the home prices, all of the homes are contained in either County X or County Y, and the combined average includes ONLY the houses in County X and Y. There are no homes in either county that aren’t included in the average of either county, or in the combined average. This means that this is a question of weighted averages, and since the combined average price is closer to the average price of County X, (A) is the correct answer.

      Again, I can see your point here and I am going to send this question to our content improvement team to see if we can change the wording to “combined” instead of “both”. However, it is likely that you will see questions like this on the GRE that require logical thinking. It’s important to think about the context of the question and consider the logic of the information you are given.

  18. Moe September 3, 2017 at 11:48 am #

    Lol it gave me 9/10 cuz i entered 0.4 instead of 2/5 lol

    • Magoosh Test Prep Expert
      Magoosh Test Prep Expert September 3, 2017 at 5:34 pm #

      Hi Moe,

      Great job on the 9/10!! Yes, because the question stated “Give your answer as fraction.”, you would need to provide the answer in fraction form to get full marks. Nonetheless, great job! 😀

  19. Bold August 17, 2017 at 8:12 pm #

    I know it’s a very rough shot but if you get all 10 correct on this what approximate score would you say on quant?

    • Magoosh Test Prep Expert
      Magoosh Test Prep Expert August 18, 2017 at 1:49 pm #

      This is very rough, since it isn’t a full section. But if you got 10/10 you are on track for a 164+ score! 🙂

      • Bold August 18, 2017 at 2:20 pm #

        Thank you! Now I just need to make sure to not put 2*2 as 6… 🙁

  20. Vandon August 15, 2017 at 9:06 pm #

    How do these questions stack up to the ones on the GRE?

    • Magoosh Test Prep Expert
      Magoosh Test Prep Expert August 16, 2017 at 1:23 pm #

      Hi Vandon,

      We think they stack up well (and so do our statistical comparisons) but I am letting this question sit for other students to weigh in, too. Their opinions will probably be more valuable for you than ours. 🙂

Magoosh blog comment policy: To create the best experience for our readers, we will only approve comments that are relevant to the article, general enough to be helpful to other students, concise, and well-written! 😄 Due to the high volume of comments across all of our blogs, we cannot promise that all comments will receive responses from our instructors.

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