## 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 the 'domain' of a function?**

**2. (6sqrt3) x (2sqrt5) =**

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

**4. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?**

**5. How to find the circumference of a circle which circumscribes a square?**

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

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

**8. 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?**

**9. What are the roots of the quadrinomial x^2 + 2x + 1?**

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

**11. What is the name of set with a number of elements which cannot be counted?**

**12. 5x^2 - 35x -55 = 0**

**13. A number is divisible by 6 if...**

**14. Reduce: 4.8 : 0.8 : 1.6**

**15. 5/6 in percent?**

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

**17. 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?**

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

**19. Which quadrant is the lower left hand?**

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

**21. Which is greater? 200x^295 or 10x^294?**

**22. a^0 =**

**23. What is the slope of a horizontal line?**

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

**25. Simplify the expression (p^2 - q^2)/ -5(q - p)**

**26. Formula to calculate arc length?**

**27. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?**

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

**29. 6w^2 - w - 15 = 0**

**30. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?**

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

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

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

**34. 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)**

**35. 3/8 in percent?**

**36. 10<all primes<20**

**37. When does a function automatically have a restricted domain (2)?**

**38. Evaluate 3& 2/7 / 1/3**

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

**40. 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**

**41. x^6 / x^3**

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

**43. What does the graph x^2 + y^2 = 64 look like?**

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

**45. Length of an arc of a circle?**

**46. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?**

**47. 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))?**

**48. How to find the area of a sector?**

**49. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14**

**50. Define a 'Term' -**