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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. What is the measure of an exterior angle of a regular pentagon?
A reflection about the origin.
75:11
72
52

2. What are 'Supplementary angles?'
Two angles whose sum is 180.
6 : 1 : 2
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Angle/360 x (pi)r^2

3. What is the graph of f(x) shifted right c units or spaces?
83.333%
A 30-60-90 triangle.
F(x-c)
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

4. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
Cd
90
72
Divide by 100.

5. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
55%
G(x) = {x}
53 - 59

6. Formula for the area of a circle?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
441000 = 1 10 10 10 21 * 21
An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy - 4ab - -5cd - x^2 + x - 1)
A = pi(r^2)

7. How to find the circumference of a circle which circumscribes a square?
23 - 29
2^9 / 2 = 256
The interesection of A and B.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

8. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A 30-60-90 triangle.
A reflection about the origin.
61 - 67
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

9. What are the irrational numbers?

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10. Surface area for a cylinder?
(amount of decrease/original price) x 100%
A circle centered on the origin with radius 8.
2(pi)r^2 + 2(pi)rh
.0004809 X 10^11

11. x^6 / x^3
Factors are few - multiples are many.
x^(6-3) = x^3
0
62.5%

12. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
Sqrt 12
G(x) = {x}
Yes. [i.e. f(x) = x^2 - 1

13. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
0
3/2 - 5/3
x^(4+7) = x^11
70

14. How to determine percent decrease?
I
(amount of decrease/original price) x 100%
31 - 37
The longest arc between points A and B on a circle'S diameter.

15. a^2 + 2ab + b^2
6 : 1 : 2
90 degrees
2.592 kg
(a + b)^2

16. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
The shortest arc between points A and B on a circle'S diameter.
28. n = 8 - k = 2. n! / k!(n-k)!
(a - b)(a + b)
87.5%

17. What is a tangent?
(a + b)^2
A tangent is a line that only touches one point on the circumference of a circle.
All numbers multiples of 1.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

18. What is the set of elements found in both A and B?
The direction of the inequality is reversed.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
72
The interesection of A and B.

19. What is the ratio of the sides of an isosceles right triangle?
180
1/a^6
1:1:sqrt2
N! / (n-k)!

20. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
180
y = (x + 5)/2
1.0843 X 10^11

21. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
The third side is greater than the difference and less than the sum.
x^(6-3) = x^3
Cd
Even

22. How to find the diagonal of a rectangular solid?
4a^2(b)
41 - 43 - 47
12sqrt2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

23. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
The third side is greater than the difference and less than the sum.
1

24. How many 3-digit positive integers are even and do not contain the digit 4?
9 & 6/7
288 (8 9 4)
... the square of the ratios of the corresponding sides.
2sqrt6

25. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
An expression with just one term (-6x - 2a^2)
A grouping of the members within a set based on a shared characteristic.

26. sqrt 2(sqrt 6)=
Pi is the ratio of a circle'S circumference to its diameter.
Sqrt 12
4096
An angle which is supplementary to an interior angle.

27. 1/2 divided by 3/7 is the same as
1/2 times 7/3
5
A reflection about the origin.
72

28. (12sqrt15) / (2sqrt5) =
Divide by 100.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
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.

29. 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)?
Cd
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(n-2) x 180
y = (x + 5)/2

30. What is the 'Restricted domain of a function'?
Pi is the ratio of a circle'S circumference to its diameter.
When the function is not defined for all real numbers -; only a subset of the real numbers.
Relationship cannot be determined (what if x is negative?)
A circle centered on the origin with radius 8.

31. Describe the relationship between 3x^2 and 3(x - 1)^2
Two equal sides and two equal angles.
0
41 - 43 - 47
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

32. What is the 'Range' of a function?
The set of output values for a function.
83.333%
1:sqrt3:2
A set with a number of elements which can be counted.

33. (-1)^3 =
An arc is a portion of a circumference of a circle.
1
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.
1.0843 X 10^11

34. The perimeter of a square is 48 inches. The length of its diagonal is:
Area of the base X height = (pi)hr^2
The point of intersection of the systems.
Pi is the ratio of a circle'S circumference to its diameter.
12sqrt2

35. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
The set of elements found in both A and B.
(a - b)(a + b)
10! / (10-3)! = 720

36. What are the members or elements of a set?
Indeterminable.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The objects within a set.
Angle/360 x 2(pi)r

37. (-1)^2 =
4096
The second graph is less steep.
F(x-c)
1

38. x^(-y)=
1/(x^y)
The empty set - denoted by a circle with a diagonal through it.
True
Yes. [i.e. f(x) = x^2 - 1

39. 60 < all primes <70
61 - 67
y = (x + 5)/2
Divide by 100.
The sum of digits is divisible by 9.

40. Which is greater? 64^5 or 16^8
13
90
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
.0004809 X 10^11

41. A number is divisible by 3 if ...
IV
75:11
The sum of its digits is divisible by 3.
The longest arc between points A and B on a circle'S diameter.

42. What is a central angle?
9 : 25
A central angle is an angle formed by 2 radii.
The shortest arc between points A and B on a circle'S diameter.
37.5%

43. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
Relationship cannot be determined (what if x is negative?)
72
1
A reflection about the axis.

44. What is the absolute value function?
G(x) = {x}
4096
83.333%
From northeast - counterclockwise. I - II - III - IV

45. How to determine percent increase?
87.5%
9 & 6/7
(amount of increase/original price) x 100%
Sqrt 12

46. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
Diameter(Pi)
2^9 / 2 = 256
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
x^(2(4)) =x^8 = (x^4)^2

47. To multiply a number by 10^x
Divide by 100.
An infinite set.
Move the decimal point to the right x places
F(x) - c

48. Formula for the area of a sector of a circle?
6
Sector area = (n/360) X (pi)r^2
11 - 13 - 17 - 19
The greatest value minus the smallest.

49. Number of degrees in a triangle
180
F(x-c)
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)
5

50. What is the percent formula?
Part = Percent X Whole
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
8
x^(2(4)) =x^8 = (x^4)^2