## Test your basic knowledge |

# GRE Math: Common Errors

**Instructions:**

- Answer 50 questions in 15 minutes.
- If you are not ready to take this test, you can study here.
- Match each statement with the correct term.
- Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

**1. What is a minor arc?**

**2. What is the surface area of a cylinder with radius 5 and height 8?**

**3. Legs 6 - 8. Hypotenuse?**

**4. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?**

**5. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?**

**6. a^2 - 2ab + b^2**

**7. a^0 =**

**8. (x^2)^4**

**9. Evaluate (4^3)^2**

**10. What are the real numbers?**

**11. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?**

**12. 0^0**

**13. Simplify (a^2 + b)^2 - (a^2 - b)^2**

**14. How many sides does a hexagon have?**

**15. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?**

**16. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7**

**17. (12sqrt15) / (2sqrt5) =**

**18. How many multiples does a given number have?**

**19. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?**

**20. What is the formula for compounded interest?**

**21. Area of a triangle?**

**22. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]**

**23. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?**

**24. 1/2 divided by 3/7 is the same as**

**25. What is the graph of f(x) shifted upward c units or spaces?**

**26. a^2 - b^2**

**27. What is the ratio of the sides of a 30-60-90 triangle?**

**28. What is a subset?**

**29. If an inequality is multiplied or divided by a negative number....**

**30. What is the slope of a vertical line?**

**31. The larger the absolute value of the slope...**

**32. Convert 0.7% to a fraction.**

**33. To multiply a number by 10^x**

**34. (a^-1)/a^5**

**35. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth**

**36. 20<all primes<30**

**37. Which quandrant is the lower right hand?**

**38. Describe the relationship between 3x^2 and 3(x - 1)^2**

**39. Define an 'expression'.**

**40. 5/6 in percent?**

**41. What is an isoceles triangle?**

**42. Can you add sqrt 3 and sqrt 5?**

**43. What is a parabola?**

**44. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)**

**45. What is an arc of a circle?**

**46. What is a tangent?**

**47. What number between 70 & 75 - inclusive - has the greatest number of factors?**

**48. Legs: 3 - 4. Hypotenuse?**

**49. What is the order of operations?**

**50. Define a 'monomial'**