## 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. 413.03 x 10^(-4) =**

**2. Which quadrant is the upper left hand?**

**3. Factor a^2 + 2ab + b^2**

**4. Solve the quadratic equation ax^2 + bx + c= 0**

**5. What is the 'union' of A and B?**

**6. 30< all primes<40**

**7. 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?**

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

**9. What is a central angle?**

**10. What is a set with no members called?**

**11. x^6 / x^3**

**12. The objects in a set are called two names:**

**13. What is a tangent?**

**14. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?**

**15. Simplify the expression [(b^2 - c^2) / (b - c)]**

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

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

**18. What is the empty set?**

**19. x^(-y)=**

**20. Which is greater? 27^(-4) or 9^(-8)**

**21. a^2 + 2ab + b^2**

**22. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?**

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

**24. What is the name for a grouping of the members within a set based on a shared characteristic?**

**25. What is the ratio of the sides of an isosceles right triangle?**

**26. What are the irrational numbers?**

**27. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?**

**28. What are complementary angles?**

**29. To convert a percent to a fraction....**

**30. 4.809 X 10^7 =**

**31. What is a major arc?**

**32. What is the 'domain' of a function?**

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

**34. What is a subset?**

**35. Surface area for a cylinder?**

**36. Can the output value of a function have more than one input value?**

**37. Pi is a ratio of what to what?**

**38. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?**

**39. 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)]?**

**40. sqrt 2(sqrt 6)=**

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

**42. Simplify 9^(1/2) X 4^3 X 2^(-6)?**

**43. Max and Min lengths for a side of a triangle?**

**44. What is a finite set?**

**45. What is the 'Range' of a function?**

**46. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82**

**47. x^4 + x^7 =**

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

**49. Order of quadrants:**

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