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

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

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

**4. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?**

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

**6. (12sqrt15) / (2sqrt5) =**

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

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

**9. 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?**

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

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

**12. What is the formula for computing simple interest?**

**13. 2sqrt4 + sqrt4 =**

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

**15. What is the maximum value for the function g(x) = (-2x^2) -1?**

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

**17. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?**

**18. Describe the relationship between the graphs of x^2 and (1/2)x^2**

**19. a^2 - b^2 =**

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

**21. 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)?**

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

**23. Formula to find a circle'S circumference from its radius?**

**24. Volume for a cylinder?**

**25. What are the integers?**

**26. What is the absolute value function?**

**27. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)**

**28. What is the side length of an equilateral triangle with altitude 6?**

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

**30. When the 'a' in a parabola is positive....**

**31. 50 < all primes< 60**

**32. 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?**

**33. 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?**

**34. What is an exterior angle?**

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

**36. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?**

**37. The ratio of the areas of two similar polygons is ...**

**38. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?**

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

**40. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?**

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

**42. 7/8 in percent?**

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

**44. What are the members or elements of a set?**

**45. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?**

**46. What is a subset?**

**47. 70 < all primes< 80**

**48. When the 'a' in the parabola is negative...**

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

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