Test your basic knowledge |

GRE Math: Common Errors

Subjects : gre, math

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?
1
II
A grouping of the members within a set based on a shared characteristic.
An angle which is supplementary to an interior angle.

2. 5/8 in percent?
62.5%
The two xes after factoring.
87.5%
2

3. 413.03 x 10^(-4) =
y = (x + 5)/2
When the function is not defined for all real numbers -; only a subset of the real numbers.
4a^2(b)
413.03 / 10^4 (move the decimal point 4 places to the left)

4. x^6 / x^3
x^(6-3) = x^3
I
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
67 - 71 - 73

5. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Move the decimal point to the right x places
70
500
The steeper the slope.

6. What is a tangent?
0
71 - 73 - 79
(p + q)/5
A tangent is a line that only touches one point on the circumference of a circle.

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?
Divide by 100.
500
2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6
0

8. Simplify the expression (p^2 - q^2)/ -5(q - p)
(p + q)/5
x^(4+7) = x^11
1:1:sqrt2
An infinite set.

9. Formula for the area of a circle?
A= I (1 + (r/c))^tC - where I is the investment - C is the number of times compounded annually - and t is the number of years.
A = pi(r^2)
A reflection about the origin.
A set with no members - denoted by a circle with a diagonal through it.

10. What number between 70 & 75 - inclusive - has the greatest number of factors?
12! / 5!7! = 792
3
72
Two angles whose sum is 90.

11. What is the 'Range' of a function?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
x(x - y + 1)
Even
The set of output values for a function.

12. The slope of a line perpendicular to (a/b)?
413.03 / 10^4 (move the decimal point 4 places to the left)
16.6666%
Its negative reciprocal. (-b/a)
A 30-60-90 triangle.

13. 1/6 in percent?
10! / 3!(10-3)! = 120
53 - 59
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
16.6666%

14. What is the slope of a horizontal line?
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)
1:sqrt3:2
72
0

15. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
3/2 - 5/3
Area of the base X height = (pi)hr^2
Yes. [i.e. f(x) = x^2 - 1

16. x^(-y)=
5
A = pi(r^2)
1/(x^y)
A tangent is a line that only touches one point on the circumference of a circle.

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)]?
True
2sqrt6
1.7
413.03 / 10^4 (move the decimal point 4 places to the left)

18. 2sqrt4 + sqrt4 =
3sqrt4
x(x - y + 1)
3 - -3
Diameter(Pi)

19. What is the set of elements found in both A and B?
The interesection of A and B.
6
1
A circle centered at -2 - -2 with radius 3.

20. Convert 0.7% to a fraction.
A set with a number of elements which can be counted.
II
Yes - like radicals can be added/subtracted.
7 / 1000

21. 4.809 X 10^7 =
7 / 1000
.0004809 X 10^11
An arc is a portion of a circumference of a circle.
A reflection about the origin.

22. Can you add sqrt 3 and sqrt 5?
A tangent is a line that only touches one point on the circumference of a circle.
No - only like radicals can be added.
1
288 (8 9 4)

23. What percent of 40 is 22?
52
Diameter(Pi)
(base*height) / 2
55%

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?
1
75:11
Cd
Its negative reciprocal. (-b/a)

25. Define a 'Term' -
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Infinite.
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
F(x) - c

26. sqrt 2(sqrt 6)=
3sqrt4
Sqrt 12
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

27. 50 < all primes< 60
53 - 59
The empty set - denoted by a circle with a diagonal through it.
x^(4+7) = x^11
The set of input values for a function.

28. 20<all primes<30
23 - 29
The interesection of A and B.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Diameter(Pi)

29. (-1)^3 =
The set of elements which can be found in either A or B.
1
An arc is a portion of a circumference of a circle.
The set of output values for a function.

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?
Two angles whose sum is 90.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
9 : 25
A reflection about the origin.

31. What is a central angle?
Members or elements
1
A central angle is an angle formed by 2 radii.
6

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?
$3 -500 in the 9% and $2 -500 in the 7%.
(b + c)
1 & 37/132
A tangent is a line that only touches one point on the circumference of a circle.

33. Evaluate 3& 2/7 / 1/3
9 & 6/7
The curve opens upward and the vertex is the minimal point on the graph.
N! / (k!)(n-k)!
13pi / 2

34. What is the empty set?
... the square of the ratios of the corresponding sides.
A set with no members - denoted by a circle with a diagonal through it.
16.6666%
3

35. What is the 'union' of A and B?
55%
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
The set of elements which can be found in either A or B.
53 - 59

36. (a^-1)/a^5
The empty set - denoted by a circle with a diagonal through it.
11 - 13 - 17 - 19
1/a^6
1

37. Describe the relationship between 3x^2 and 3(x - 1)^2
The objects within a set.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Yes. [i.e. f(x) = x^2 - 1

38. What are the real numbers?
(a - b)^2
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)
$3 -500 in the 9% and $2 -500 in the 7%.
An arc is a portion of a circumference of a circle.

39. What is the 'Solution' for a system of linear equations?
12sqrt2
The point of intersection of the systems.
Two angles whose sum is 90.
The greatest value minus the smallest.

40. What is the graph of f(x) shifted right c units or spaces?
Cd
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
2
F(x-c)

41. x^2 = 9. What is the value of x?
3 - -3
28. n = 8 - k = 2. n! / k!(n-k)!
A subset.
48

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?
9 & 6/7
2.592 kg
The point of intersection of the systems.
1 & 37/132

43. Evaluate (4^3)^2
4096
Arc length = (n/360) x pi(2r) where n is the number of degrees.
90 degrees
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

44. 7/8 in percent?
Members or elements
1
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
87.5%

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?
Relationship cannot be determined (what if x is negative?)
500
10! / (10-3)! = 720
x^(6-3) = x^3

46. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1/a^6
x^(2(4)) =x^8 = (x^4)^2
1
31 - 37

47. 10<all primes<20
The set of elements which can be found in either A or B.
F(x) + c
11 - 13 - 17 - 19
12.5%

48. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
A 30-60-90 triangle.
Part = Percent X Whole
Divide by 100.

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?
52
72
72
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

50. 1/8 in percent?
12.5%
A grouping of the members within a set based on a shared characteristic.
23 - 29
10

Test your basic knowledge |

GRE Math: Common Errors

13 Skills Types | 550 Pages | Only $9.95 | PDF / EPub, Kindle Ready

Top Scores

Link to This Test

Related Subjects