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. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
F(x) + c
Undefined
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

2. Which quadrant is the upper left hand?
II
500
Yes. [i.e. f(x) = x^2 - 1
10! / (10-3)! = 720

3. Factor a^2 + 2ab + b^2
(a + b)^2
F(x + c)
The two xes after factoring.
130pi

4. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Members or elements
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

5. What is the 'union' of A and B?
16.6666%
(amount of increase/original price) x 100%
The set of elements which can be found in either A or B.
Pi is the ratio of a circle'S circumference to its diameter.

6. 30< all primes<40
Arc length = (n/360) x pi(2r) where n is the number of degrees.
31 - 37
20.5
Cd

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?
(n-2) x 180
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
An infinite set.
x^(4+7) = x^11

8. Can you add sqrt 3 and sqrt 5?
6
No - only like radicals can be added.
2sqrt6
Infinite.

9. What is a central angle?
... the square of the ratios of the corresponding sides.
The direction of the inequality is reversed.
A central angle is an angle formed by 2 radii.
1:1:sqrt2

10. What is a set with no members called?
Its last two digits are divisible by 4.
The empty set - denoted by a circle with a diagonal through it.
F(x) + c
F(x) - c

11. x^6 / x^3
x^(6-3) = x^3
71 - 73 - 79
0
180 degrees

12. The objects in a set are called two names:
3
180 degrees
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Members or elements

13. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
A 30-60-90 triangle.
The sum of its digits is divisible by 3.
6

14. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
75:11
An arc is a portion of a circumference of a circle.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

15. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
A 30-60-90 triangle.
2sqrt6
23 - 29

16. What number between 70 & 75 - inclusive - has the greatest number of factors?
8
72
The sum of digits is divisible by 9.
N! / (n-k)!

17. What is the graph of f(x) shifted left c units or spaces?
Area of the base X height = (pi)hr^2
F(x + c)
1.7
1

18. What is the empty set?
C = (pi)d
2.592 kg
A set with no members - denoted by a circle with a diagonal through it.
500

19. x^(-y)=
1/(x^y)
(a - b)^2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
4.25 - 6 - 22

20. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
The longest arc between points A and B on a circle'S diameter.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
48

21. a^2 + 2ab + b^2
(a + b)^2
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Pi is the ratio of a circle'S circumference to its diameter.
y = (x + 5)/2

22. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
Its divisible by 2 and by 3.
413.03 / 10^4 (move the decimal point 4 places to the left)
130pi
13pi / 2

23. Which quandrant is the lower right hand?
When the function is not defined for all real numbers -; only a subset of the real numbers.
Lies opposite the greater angle
67 - 71 - 73
IV

24. What is the name for a grouping of the members within a set based on a shared characteristic?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A subset.
180
13pi / 2

25. What is the ratio of the sides of an isosceles right triangle?
2^9 / 2 = 256
1
2.592 kg
1:1:sqrt2

26. What are the irrational numbers?
The point of intersection of the systems.
Its negative reciprocal. (-b/a)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
(amount of increase/original price) x 100%

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))?
Two angles whose sum is 180.
20.5
(a + b)^2
52

28. What are complementary angles?
The union of A and B.
The direction of the inequality is reversed.
Two angles whose sum is 90.
III

29. To convert a percent to a fraction....
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)
90pi
A subset.
Divide by 100.

30. 4.809 X 10^7 =
All numbers multiples of 1.
.0004809 X 10^11
28. n = 8 - k = 2. n! / k!(n-k)!
20.5

31. What is a major arc?
62.5%
Undefined - because we can'T divide by 0.
The longest arc between points A and B on a circle'S diameter.
F(x) + c

32. What is the 'domain' of a function?
The set of input values for a function.
F(x + c)
A subset.
Ax^2 + bx + c where a -b and c are constants and a /=0

33. What are the real numbers?
Relationship cannot be determined (what if x is negative?)
10! / (10-3)! = 720
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)
No - the input value has exactly one output.

34. What is a subset?
An angle which is supplementary to an interior angle.
0
$11 -448
A grouping of the members within a set based on a shared characteristic.

35. Surface area for a cylinder?
(b + c)
10
C = 2(pi)r
2(pi)r^2 + 2(pi)rh

36. Can the output value of a function have more than one input value?
Yes. [i.e. f(x) = x^2 - 1
C = (pi)d
(amount of decrease/original price) x 100%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

37. Pi is a ratio of what to what?
Triangles with same measure and same side lengths.
2
Pi is the ratio of a circle'S circumference to its diameter.
90

38. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Cd
4:5
0
A grouping of the members within a set based on a shared characteristic.

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)]?
True
70
...multiply by 100.
$3 -500 in the 9% and $2 -500 in the 7%.

40. sqrt 2(sqrt 6)=
True
Sqrt 12
The greatest value minus the smallest.
Two equal sides and two equal angles.

41. To multiply a number by 10^x
23 - 29
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1:1:sqrt2
Move the decimal point to the right x places

42. Simplify 9^(1/2) X 4^3 X 2^(-6)?
Part = Percent X Whole
9 : 25
3
8

43. Max and Min lengths for a side of a triangle?
Its last two digits are divisible by 4.
F(x + c)
The third side is greater than the difference and less than the sum.
413.03 / 10^4 (move the decimal point 4 places to the left)

44. What is a finite set?
True
A set with a number of elements which can be counted.
61 - 67
Cd

45. What is the 'Range' of a function?
9 : 25
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
71 - 73 - 79
The set of output values for a function.

46. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
The two xes after factoring.
1
x^(4+7) = x^11

47. x^4 + x^7 =
288 (8 9 4)
x^(4+7) = x^11
Ax^2 + bx + c where a -b and c are constants and a /=0
Part = Percent X Whole

48. What is the order of operations?
441000 = 1 10 10 10 21 * 21
7 / 1000
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
12! / 5!7! = 792

49. Order of quadrants:
Undefined
From northeast - counterclockwise. I - II - III - IV
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

50. What is the graph of f(x) shifted upward c units or spaces?
180
4.25 - 6 - 22
The direction of the inequality is reversed.
F(x) + c

Test your basic knowledge |

GRE Math: Common Errors

Communication skills, Self help skills, Self improvement skills, Productivity skills, Writing skills, Business skills, Thinking skills & More...

502 Pages | Only $12 | PDF / EPub, Kindle Ready

Top Scores

Link to This Test

Related Subjects