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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 a finite set?
37.5%
6
The set of output values for a function.
A set with a number of elements which can be counted.

2. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
Infinite.
10! / (10-3)! = 720
16.6666%

3. What is the 'Solution' for a set of inequalities.
1.7
The set of output values for a function.
(a + b)^2
The overlapping sections.

4. What are the members or elements of a set?
The objects within a set.
C = (pi)d
Angle/360 x 2(pi)r
11 - 13 - 17 - 19

5. What is the area of a regular hexagon with side 6?
From northeast - counterclockwise. I - II - III - IV
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
An infinite set.
83.333%

6. Which quadrant is the lower left hand?
(base*height) / 2
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
III
Indeterminable.

7. The objects in a set are called two names:
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
4.25 - 6 - 22
Members or elements
6

8. Write 10 -843 X 10^7 in scientific notation
53 - 59
1.0843 X 10^11
Cd
F(x) + c

9. 8.84 / 5.2
The overlapping sections.
$11 -448
1.7
N! / (n-k)!

10. What is the graph of f(x) shifted right c units or spaces?
A circle centered at -2 - -2 with radius 3.
F(x-c)
90pi
A = pi(r^2)

11. 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?
1
6 : 1 : 2
(amount of increase/original price) x 100%
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

12. Which quandrant is the lower right hand?
$11 -448
4096
27^(-4)
IV

13. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
x(x - y + 1)
(n-2) x 180
The steeper the slope.
A reflection about the origin.

14. How many multiples does a given number have?
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
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)
55%
Infinite.

15. What is a major arc?

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16. Solve the quadratic equation ax^2 + bx + c= 0
1
The union of A and B.
C = 2(pi)r
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

17. x^6 / x^3
F(x) - c
x^(6-3) = x^3
Move the decimal point to the right x places
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

18. What is the graph of f(x) shifted downward c units or spaces?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Its divisible by 2 and by 3.
F(x) - c
A set with a number of elements which can be counted.

19. Simplify (a^2 + b)^2 - (a^2 - b)^2
Yes - like radicals can be added/subtracted.
4a^2(b)
1
1.0843 X 10^11

20. A number is divisible by 6 if...
55%
1
Its divisible by 2 and by 3.
III

21. When does a function automatically have a restricted domain (2)?
$3 -500 in the 9% and $2 -500 in the 7%.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Members or elements
5 OR -5

22. What is the side length of an equilateral triangle with altitude 6?
Angle/360 x (pi)r^2
(a + b)^2
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...
F(x + c)

23. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
3/2 - 5/3
8
1
Diameter(Pi)

24. What percent of 40 is 22?
An angle which is supplementary to an interior angle.
87.5%
55%
Yes. [i.e. f(x) = x^2 - 1

25. 5/8 in percent?
0
2.592 kg
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...
62.5%

26. What is an isoceles triangle?
x^(4+7) = x^11
Two equal sides and two equal angles.
13
The objects within a set.

27. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
5 OR -5
Two angles whose sum is 90.
27^(-4)
3

28. 413.03 x 10^(-4) =
18
413.03 / 10^4 (move the decimal point 4 places to the left)
A = I (1 + rt)
11 - 13 - 17 - 19

29. What is the maximum value for the function g(x) = (-2x^2) -1?
1
Its divisible by 2 and by 3.
y = (x + 5)/2
2^9 / 2 = 256

30. a^2 - b^2 =
1.0843 X 10^11
(a - b)(a + b)
62.5%
(amount of increase/original price) x 100%

31. Legs 5 - 12. Hypotenuse?
8
The set of input values for a function.
1.7
13

32. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
Two equal sides and two equal angles.
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 set with a number of elements which can be counted.

33. What is a tangent?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
When the function is not defined for all real numbers -; only a subset of the real numbers.
A tangent is a line that only touches one point on the circumference of a circle.

34. What is an arc of a circle?
Two angles whose sum is 180.
An arc is a portion of a circumference of a circle.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
130pi

35. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
53 - 59
(amount of increase/original price) x 100%
A 30-60-90 triangle.
The two xes after factoring.

36. 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
1
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
Even

37. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
6
4725
Yes - like radicals can be added/subtracted.
3sqrt4

38. 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
Area of the base X height = (pi)hr^2
37.5%
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

39. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
x^(6-3) = x^3
A reflection about the axis.
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.
The set of elements found in both A and B.

40. What is the surface area of a cylinder with radius 5 and height 8?
70
130pi
9 & 6/7
5 OR -5

41. What are the irrational numbers?

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42. How to determine percent decrease?
(amount of decrease/original price) x 100%
Yes. [i.e. f(x) = x^2 - 1
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)
The sum of its digits is divisible by 3.

43. Formula for the area of a circle?
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)
Two equal sides and two equal angles.
Angle/360 x 2(pi)r
A = pi(r^2)

44. Find the surface area of a cylinder with radius 3 and height 12.
Pi is the ratio of a circle'S circumference to its diameter.
90pi
Diameter(Pi)
From northeast - counterclockwise. I - II - III - IV

45. What is the percent formula?
An arc is a portion of a circumference of a circle.
Part = Percent X Whole
The interesection of A and B.
18

46. What are the integers?
10! / 3!(10-3)! = 120
Cd
All numbers multiples of 1.
28. n = 8 - k = 2. n! / k!(n-k)!

47. 30< all primes<40
x^(2(4)) =x^8 = (x^4)^2
x^(6-3) = x^3
IV
31 - 37

48. To multiply a number by 10^x
y = (x + 5)/2
Undefined
The interesection of A and B.
Move the decimal point to the right x places

49. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
Angle/360 x (pi)r^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)
1/(x^y)

50. Max and Min lengths for a side of a triangle?
The sum of its digits is divisible by 3.
The third side is greater than the difference and less than the sum.
y = 2x^2 - 3
Infinite.