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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. Simplify the expression [(b^2 - c^2) / (b - c)]
16.6666%
y = (x + 5)/2
(b + c)
The set of elements found in both A and B.

2. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
The set of output values for a function.
3/2 - 5/3
2.592 kg

3. sqrt 2(sqrt 6)=
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Sqrt 12
0
7 / 1000

4. Formula of rectangle where l increases by 20% and w decreases by 20%
The union of A and B.
.0004809 X 10^11
I
x= (1.2)(.8)lw

5. What is a tangent?
1
1/a^6
61 - 67
A tangent is a line that only touches one point on the circumference of a circle.

6. (-1)^3 =
An infinite set.
1
18
1.0843 X 10^11

7. a^2 - 2ab + b^2
2 & 3/7
(a + b)^2
(a - b)^2
4.25 - 6 - 22

8. 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?
x^(4+7) = x^11
10! / (10-3)! = 720
The set of output values for a function.
3

9. In a regular polygon with n sides - the formula for the sum of interior angles
y = (x + 5)/2
The curve opens downward and the vertex is the maximum point on the graph.
(n-2) x 180
The second graph is less steep.

10. What is the side length of an equilateral triangle with altitude 6?
1
9 & 6/7
10! / 3!(10-3)! = 120
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...

11. (12sqrt15) / (2sqrt5) =
A = pi(r^2)
1
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Cd

12. 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?
(b + c)
62.5%
52
The direction of the inequality is reversed.

13. The larger the absolute value of the slope...
F(x + c)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Yes - like radicals can be added/subtracted.
The steeper the slope.

14. What is an exterior angle?
8
2.592 kg
An angle which is supplementary to an interior angle.
28. n = 8 - k = 2. n! / k!(n-k)!

15. 0^0
The union of A and B.
From northeast - counterclockwise. I - II - III - IV
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Undefined

16. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
8
$3 -500 in the 9% and $2 -500 in the 7%.
IV

17. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
(n-2) x 180
72
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)

18. 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?
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
Angle/360 x (pi)r^2
Factors are few - multiples are many.
The greatest value minus the smallest.

19. What are the smallest three prime numbers greater than 65?
6
A = I (1 + rt)
67 - 71 - 73
83.333%

20. 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?
Sector area = (n/360) X (pi)r^2
y = 2x^2 - 3
x(x - y + 1)
1.0843 X 10^11

21. Define a 'Term' -
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
No - the input value has exactly one output.
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)
61 - 67

22. Simplify (a^2 + b)^2 - (a^2 - b)^2
A central angle is an angle formed by 2 radii.
4a^2(b)
The steeper the slope.
72

23. What are congruent triangles?
Even
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
2.592 kg
Triangles with same measure and same side lengths.

24. x^6 / x^3
.0004809 X 10^11
F(x) + c
N! / (k!)(n-k)!
x^(6-3) = x^3

25. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A reflection about the axis.
From northeast - counterclockwise. I - II - III - IV
1

26. Area of a triangle?
13
Indeterminable.
(base*height) / 2
10! / 3!(10-3)! = 120

27. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
18
413.03 / 10^4 (move the decimal point 4 places to the left)
(b + c)
Undefined

28. (-1)^2 =
3
x= (1.2)(.8)lw
Diameter(Pi)
1

29. What are the integers?
A chord is a line segment joining two points on a circle.
The sum of its digits is divisible by 3.
All numbers multiples of 1.
y = 2x^2 - 3

30. When the 'a' in a parabola is positive....
Members or elements
The curve opens upward and the vertex is the minimal point on the graph.
Sqrt 12
5

31. Find the surface area of a cylinder with radius 3 and height 12.
The set of elements which can be found in either A or B.
90pi
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1 & 37/132

32. 5/6 in percent?
0
83.333%
Angle/360 x (pi)r^2
From northeast - counterclockwise. I - II - III - IV

33. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
180
(base*height) / 2
70
130pi

34. What is a central angle?
Pi is the ratio of a circle'S circumference to its diameter.
All numbers multiples of 1.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A central angle is an angle formed by 2 radii.

35. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A subset.

36. What is the ratio of the sides of a 30-60-90 triangle?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1:sqrt3:2
41 - 43 - 47
1

37. To multiply a number by 10^x
130pi
441000 = 1 10 10 10 21 * 21
Move the decimal point to the right x places
90

38. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
1 & 37/132
II
x^(6-3) = x^3
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

39. a^2 - b^2 =
F(x-c)
(a - b)(a + b)
Two angles whose sum is 90.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

40. 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)?
Angle/360 x (pi)r^2
When the function is not defined for all real numbers -; only a subset of the real numbers.
F(x-c)
y = (x + 5)/2

41. The objects in a set are called two names:
Members or elements
6
The shortest arc between points A and B on a circle'S diameter.
C = (pi)d

42. 413.03 x 10^(-4) =
83.333%
6
413.03 / 10^4 (move the decimal point 4 places to the left)
(amount of decrease/original price) x 100%

43. Order of quadrants:
1.7
3
True
From northeast - counterclockwise. I - II - III - IV

44. What is the name for a grouping of the members within a set based on a shared characteristic?
(amount of decrease/original price) x 100%
C = 2(pi)r
(n-2) x 180
A subset.

45. 10<all primes<20
11 - 13 - 17 - 19
61 - 67
52
2(pi)r^2 + 2(pi)rh

46. Describe the relationship between 3x^2 and 3(x - 1)^2
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
F(x-c)
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

47. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
x^(2(4)) =x^8 = (x^4)^2
2
Arc length = (n/360) x pi(2r) where n is the number of degrees.

48. 10^6 has how many zeroes?
Angle/360 x 2(pi)r
Relationship cannot be determined (what if x is negative?)
From northeast - counterclockwise. I - II - III - IV
6

49. What is the graph of f(x) shifted upward c units or spaces?
Undefined
(a - b)(a + b)
F(x) + c
72

50. 1/2 divided by 3/7 is the same as
1/2 times 7/3
70
1.0843 X 10^11
A reflection about the origin.