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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 percent of 40 is 22?
A tangent is a line that only touches one point on the circumference of a circle.
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.
Indeterminable.
55%

2. Number of degrees in a triangle
III
12sqrt2
52
180

3. When the 'a' in a parabola is positive....
The curve opens upward and the vertex is the minimal point on the graph.
An angle which is supplementary to an interior angle.
A circle centered on the origin with radius 8.
The overlapping sections.

4. What is the percent formula?
$3 -500 in the 9% and $2 -500 in the 7%.
Part = Percent X Whole
... the square of the ratios of the corresponding sides.
6

5. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
Relationship cannot be determined (what if x is negative?)
The point of intersection of the systems.
0
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

6. x^6 / x^3
(a - b)^2
x^(6-3) = x^3
1.0843 X 10^11
37.5%

7. What are the smallest three prime numbers greater than 65?
Two equal sides and two equal angles.
The overlapping sections.
The set of output values for a function.
67 - 71 - 73

8. Legs 5 - 12. Hypotenuse?
18
13
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Triangles with same measure and same side lengths.

9. 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?
A set with no members - denoted by a circle with a diagonal through it.
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
18
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

10. How many sides does a hexagon have?
72
A set with a number of elements which can be counted.
6
The sum of its digits is divisible by 3.

11. Can the input value of a function have more than one output value (i.e. x: y - y1)?
$3 -500 in the 9% and $2 -500 in the 7%.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
No - the input value has exactly one output.
4.25 - 6 - 22

12. Define a 'Term' -
IV
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)
10! / (10-3)! = 720
1

13. What is the 'union' of A and B?
7 / 1000
5
C = (pi)d
The set of elements which can be found in either A or B.

14. How many 3-digit positive integers are even and do not contain the digit 4?
Triangles with same measure and same side lengths.
288 (8 9 4)
A subset.
53 - 59

15. 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)]?
...multiply by 100.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
True
... the square of the ratios of the corresponding sides.

16. What is a piecewise equation?
(a - b)^2
The sum of its digits is divisible by 3.
An angle which is supplementary to an interior angle.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

17. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
Area of the base X height = (pi)hr^2
x^(2(4)) =x^8 = (x^4)^2
31 - 37

18. 4.809 X 10^7 =
.0004809 X 10^11
An infinite set.
The set of elements found in both A and B.
IV

19. What is a major arc?

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20. Area of a triangle?
(base*height) / 2
F(x) + c
130pi
Undefined - because we can'T divide by 0.

21. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
G(x) = {x}
The shortest arc between points A and B on a circle'S diameter.
3
A central angle is an angle formed by 2 radii.

22. Formula of rectangle where l increases by 20% and w decreases by 20%
72
F(x) + c
x= (1.2)(.8)lw
N! / (n-k)!

23. 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?
y = 2x^2 - 3
0
An infinite set.
6 : 1 : 2

24. What is the order of operations?
$11 -448
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
F(x) - c
2^9 / 2 = 256

25. What is the set of elements which can be found in either A or B?
27^(-4)
90 degrees
The union of A and B.
x^(6-3) = x^3

26. What is the graph of f(x) shifted left c units or spaces?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
0
F(x + c)
7 / 1000

27. Which quadrant is the upper right hand?
288 (8 9 4)
I
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)
2sqrt6

28. 1/2 divided by 3/7 is the same as
87.5%
The set of output values for a function.
A reflection about the origin.
1/2 times 7/3

29. Define an 'expression'.
$11 -448
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)
12.5%
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)

30. 5/8 in percent?
F(x-c)
Infinite.
Move the decimal point to the right x places
62.5%

31. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
500
N! / (k!)(n-k)!
.0004809 X 10^11
8

32. 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)?
True
13pi / 2
y = (x + 5)/2
5 OR -5

33. Surface area for a cylinder?
The set of output values for a function.
23 - 29
3/2 - 5/3
2(pi)r^2 + 2(pi)rh

34. Factor x^2 - xy + x.
Indeterminable.
413.03 / 10^4 (move the decimal point 4 places to the left)
441000 = 1 10 10 10 21 * 21
x(x - y + 1)

35. What is a minor arc?

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36. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
12! / 5!7! = 792
Yes. [i.e. f(x) = x^2 - 1
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)

37. 60 < all primes <70
Its last two digits are divisible by 4.
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
55%
61 - 67

38. What is the area of a regular hexagon with side 6?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
No - the input value has exactly one output.
F(x-c)

39. Can you add sqrt 3 and sqrt 5?
Members or elements
...multiply by 100.
90 degrees
No - only like radicals can be added.

40. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
When the function is not defined for all real numbers -; only a subset of the real numbers.
48
288 (8 9 4)
x= (1.2)(.8)lw

41. 70 < all primes< 80
71 - 73 - 79
An infinite set.
2(pi)r^2 + 2(pi)rh
Factors are few - multiples are many.

42. What is the formula for computing simple interest?
From northeast - counterclockwise. I - II - III - IV
Relationship cannot be determined (what if x is negative?)
A = I (1 + rt)
61 - 67

43. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
The direction of the inequality is reversed.
N! / (n-k)!
(p + q)/5

44. Describe the relationship between the graphs of x^2 and (1/2)x^2
0
The set of input values for a function.
When the function is not defined for all real numbers -; only a subset of the real numbers.
The second graph is less steep.

45. a^0 =
1
Relationship cannot be determined (what if x is negative?)
The second graph is less steep.
Undefined

46. If the two sides of a triangle are unequal then the longer side...
A reflection about the axis.
An angle which is supplementary to an interior angle.
Lies opposite the greater angle
52

47. Pi is a ratio of what to what?

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48. x^2 = 9. What is the value of x?
$11 -448
Divide by 100.
3 - -3
Members or elements

49. 50 < all primes< 60
288 (8 9 4)
53 - 59
90 degrees
Undefined - because we can'T divide by 0.

50. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
A subset.
72
Indeterminable.