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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. 413.03 x 10^(-4) =
(amount of decrease/original price) x 100%
413.03 / 10^4 (move the decimal point 4 places to the left)
1
N! / (k!)(n-k)!

2. How many sides does a hexagon have?
6
A subset.
From northeast - counterclockwise. I - II - III - IV
A 30-60-90 triangle.

3. What is the 'domain' of a function?
The set of input values for a function.
x^(6-3) = x^3
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Its negative reciprocal. (-b/a)

4. 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)]?
48
An expression with just one term (-6x - 2a^2)
The point of intersection of the systems.
True

5. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
Sector area = (n/360) X (pi)r^2
(a - b)^2
10! / (10-3)! = 720

6. What number between 70 & 75 - inclusive - has the greatest number of factors?
Sector area = (n/360) X (pi)r^2
x(x - y + 1)
72
F(x) - c

7. How to determine percent increase?
(amount of increase/original price) x 100%
G(x) = {x}
10! / (10-3)! = 720
The direction of the inequality is reversed.

8. What are the rational numbers?
13pi / 2
48
Pi is the ratio of a circle'S circumference to its diameter.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

9. (6sqrt3) x (2sqrt5) =
A = I (1 + rt)
28. n = 8 - k = 2. n! / k!(n-k)!
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
.0004809 X 10^11

10. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
48
Two equal sides and two equal angles.
0
Two angles whose sum is 180.

11. To convert a decimal to a percent...
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The overlapping sections.
A tangent is a line that only touches one point on the circumference of a circle.
...multiply by 100.

12. (-1)^3 =
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1
Relationship cannot be determined (what if x is negative?)
An isosceles right triangle.

13. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
A 30-60-90 triangle.
55%
70
2.592 kg

14. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
(a - b)^2
True
A = pi(r^2)

15. What is a minor arc?

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16. How many multiples does a given number have?
1:sqrt3:2
Infinite.
16.6666%
A 30-60-90 triangle.

17. 1/6 in percent?
16.6666%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
(base*height) / 2
Triangles with same measure and same side lengths.

18. What is the sum of the angles of a triangle?
83.333%
The set of elements which can be found in either A or B.
F(x-c)
180 degrees

19. What is the measure of an exterior angle of a regular pentagon?
72
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
6 : 1 : 2
27^(-4)

20. What are the irrational numbers?

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21. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
Infinite.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A reflection about the axis.
y = 2x^2 - 3

22. 1/2 divided by 3/7 is the same as
41 - 43 - 47
1/2 times 7/3
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
All numbers multiples of 1.

23. What percent of 40 is 22?
All numbers multiples of 1.
The shortest arc between points A and B on a circle'S diameter.
55%
0

24. 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?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The two xes after factoring.
Even
10! / (10-3)! = 720

25. What is a major arc?

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26. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
6 : 1 : 2
Even
N! / (n-k)!
4:5

27. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
9 : 25
2^9 / 2 = 256
... the square of the ratios of the corresponding sides.
The second graph is less steep.

28. How to determine percent decrease?
(amount of decrease/original price) x 100%
An arc is a portion of a circumference of a circle.
The sum of its digits is divisible by 3.
A set with a number of elements which can be counted.

29. A number is divisible by 4 is...
Indeterminable.
(a - b)(a + b)
Its last two digits are divisible by 4.
... the square of the ratios of the corresponding sides.

30. What are 'Supplementary angles?'
N! / (n-k)!
Two angles whose sum is 180.
10
The interesection of A and B.

31. Factor x^2 - xy + x.
III
No - only like radicals can be added.
Infinite.
x(x - y + 1)

32. What is the empty set?
Undefined
Triangles with same measure and same side lengths.
A set with a number of elements which can be counted.
A set with no members - denoted by a circle with a diagonal through it.

33. a^2 + 2ab + b^2
A circle centered on the origin with radius 8.
83.333%
(a + b)^2
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)

34. 3/8 in percent?
37.5%
4725
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.
Divide by 100.

35. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
A tangent is a line that only touches one point on the circumference of a circle.
A chord is a line segment joining two points on a circle.
A central angle is an angle formed by 2 radii.

36. To convert a percent to a fraction....
The set of input values for a function.
Divide by 100.
A chord is a line segment joining two points on a circle.
28. n = 8 - k = 2. n! / k!(n-k)!

37. What are the members or elements of a set?
An infinite set.
Diameter(Pi)
The objects within a set.
A chord is a line segment joining two points on a circle.

38. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
12! / 5!7! = 792
The greatest value minus the smallest.
8

39. 10^6 has how many zeroes?
6
2(pi)r^2 + 2(pi)rh
Indeterminable.
A circle centered on the origin with radius 8.

40. Length of an arc of a circle?
$11 -448
Angle/360 x 2(pi)r
Undefined
A circle centered on the origin with radius 8.

41. Evaluate (4^3)^2
The curve opens upward and the vertex is the minimal point on the graph.
1
4096
F(x) - c

42. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
16.6666%
55%
1

43. Which is greater? 64^5 or 16^8
(a + b)^2
Undefined
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Indeterminable.

44. Find the surface area of a cylinder with radius 3 and height 12.
9 : 25
90pi
18
Lies opposite the greater angle

45. 4.809 X 10^7 =
Sqrt 12
83.333%
500
.0004809 X 10^11

46. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
y = (x + 5)/2
Its negative reciprocal. (-b/a)
F(x-c)
28. n = 8 - k = 2. n! / k!(n-k)!

47. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
11 - 13 - 17 - 19
The empty set - denoted by a circle with a diagonal through it.
180

48. What is the area of a regular hexagon with side 6?
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...
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
9 : 25
(a - b)(a + b)

49. a^2 - b^2
(a - b)(a + b)
Pi is the ratio of a circle'S circumference to its diameter.
y = (x + 5)/2
0

50. What is the set of elements found in both A and B?
The interesection of A and B.
The curve opens downward and the vertex is the maximum point on the graph.
2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)