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

**2. 5/8 in percent?**

**3. 413.03 x 10^(-4) =**

**4. x^6 / x^3**

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

**6. What is a tangent?**

**7. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?**

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

**9. Formula for the area of a circle?**

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

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

**12. The slope of a line perpendicular to (a/b)?**

**13. 1/6 in percent?**

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

**15. In a regular polygon with n sides - the formula for the sum of interior angles**

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

**17. 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)]?**

**18. 2sqrt4 + sqrt4 =**

**19. What is the set of elements found in both A and B?**

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

**21. 4.809 X 10^7 =**

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

**23. What percent of 40 is 22?**

**24. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?**

**25. Define a 'Term' -**

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

**27. 50 < all primes< 60**

**28. 20<all primes<30**

**29. (-1)^3 =**

**30. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?**

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

**32. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?**

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

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

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

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

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

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

**39. What is the 'Solution' for a system of linear equations?**

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

**41. x^2 = 9. What is the value of x?**

**42. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?**

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

**44. 7/8 in percent?**

**45. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?**

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

**47. 10<all primes<20**

**48. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?**

**49. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?**

**50. 1/8 in percent?**