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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. x^(-y)=
The sum of its digits is divisible by 3.
x^(4+7) = x^11
12! / 5!7! = 792
1/(x^y)

2. What percent of 40 is 22?
(n-2) x 180
55%
All numbers multiples of 1.
The longest arc between points A and B on a circle'S diameter.

3. How to determine percent decrease?
(a - b)^2
(amount of decrease/original price) x 100%
(n-2) x 180
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

4. Which quandrant is the lower right hand?
90
5
IV
3/2 - 5/3

5. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
(base*height) / 2
The set of output values for a function.
(amount of decrease/original price) x 100%

6. What are 'Supplementary angles?'
10! / 3!(10-3)! = 120
Two angles whose sum is 90.
When the function is not defined for all real numbers -; only a subset of the real numbers.
Two angles whose sum is 180.

7. a^2 - b^2 =
(a - b)(a + b)
441000 = 1 10 10 10 21 * 21
(p + q)/5
...multiply by 100.

8. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
F(x) + c
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...
An angle which is supplementary to an interior angle.

9. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Lies opposite the greater angle
C = (pi)d

10. What does scientific notation mean?
11 - 13 - 17 - 19
The set of input values for a function.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
(p + q)/5

11. What is the 'Solution' for a set of inequalities.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The overlapping sections.
1
72

12. The ratio of the areas of two similar polygons is ...
Arc length = (n/360) x pi(2r) where n is the number of degrees.
x^(4+7) = x^11
.0004809 X 10^11
... the square of the ratios of the corresponding sides.

13. What is the 'domain' of a function?
31 - 37
The overlapping sections.
The set of input values for a function.
The objects within a set.

14. Define a 'Term' -
27^(-4)
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 interesection of A and B.
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...

15. What are the roots of the quadrinomial x^2 + 2x + 1?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The two xes after factoring.
Undefined - because we can'T divide by 0.
The set of input values for a function.

16. What is a finite set?
A circle centered at -2 - -2 with radius 3.
413.03 / 10^4 (move the decimal point 4 places to the left)
A set with a number of elements which can be counted.
41 - 43 - 47

17. How to find the area of a sector?
Angle/360 x (pi)r^2
F(x) - c
1
3

18. What is a minor arc?

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19. 70 < all primes< 80
71 - 73 - 79
The second graph is less steep.
A grouping of the members within a set based on a shared characteristic.
Undefined - because we can'T divide by 0.

20. Simplify (a^2 + b)^2 - (a^2 - b)^2
Lies opposite the greater angle
4a^2(b)
The set of output values for a function.
A subset.

21. How to find the circumference of a circle which circumscribes a square?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
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.
3sqrt4

22. Circumference of a circle?
Sqrt 12
Even
Diameter(Pi)
3

23. (-1)^2 =
$11 -448
1
Angle/360 x (pi)r^2
From northeast - counterclockwise. I - II - III - IV

24. Legs: 3 - 4. Hypotenuse?
4096
1
5
53 - 59

25. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
61 - 67
N! / (n-k)!
3/2 - 5/3

26. To convert a percent to a fraction....
70
Triangles with same measure and same side lengths.
The set of elements which can be found in either A or B.
Divide by 100.

27. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
12sqrt2
N! / (k!)(n-k)!
6

28. Evaluate (4^3)^2
413.03 / 10^4 (move the decimal point 4 places to the left)
5
31 - 37
4096

29. 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?
48
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Part = Percent X Whole
From northeast - counterclockwise. I - II - III - IV

30. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
70
0
The sum of its digits is divisible by 3.

31. Evaluate 3& 2/7 / 1/3
75:11
6
9 & 6/7
31 - 37

32. Simplify 9^(1/2) X 4^3 X 2^(-6)?
...multiply by 100.
Ax^2 + bx + c where a -b and c are constants and a /=0
Relationship cannot be determined (what if x is negative?)
3

33. (6sqrt3) x (2sqrt5) =
III
$11 -448
(amount of increase/original price) x 100%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

34. A number is divisible by 6 if...
Undefined - because we can'T divide by 0.
Its divisible by 2 and by 3.
An isosceles right triangle.
A reflection about the origin.

35. Area of a triangle?
(base*height) / 2
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
Area of the base X height = (pi)hr^2
1 & 37/132

36. Evaluate 4/11 + 11/12
Members or elements
A reflection about the axis.
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)
1 & 37/132

37. What are complementary angles?
Two angles whose sum is 90.
A reflection about the axis.
A circle centered at -2 - -2 with radius 3.
The shortest arc between points A and B on a circle'S diameter.

38. To multiply a number by 10^x
True
130pi
Move the decimal point to the right x places
8

39. What is the maximum value for the function g(x) = (-2x^2) -1?
A reflection about the origin.
6
72
1

40. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
1
53 - 59
I

41. Formula of rectangle where l increases by 20% and w decreases by 20%
A grouping of the members within a set based on a shared characteristic.
Its divisible by 2 and by 3.
x= (1.2)(.8)lw
6

42. Formula to calculate arc length?
27^(-4)
6 : 1 : 2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Arc length = (n/360) x pi(2r) where n is the number of degrees.

43. (12sqrt15) / (2sqrt5) =
The overlapping sections.
Pi is the ratio of a circle'S circumference to its diameter.
13
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

44. What are the irrational numbers?

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45. 10<all primes<20
72
11 - 13 - 17 - 19
A reflection about the axis.
10

46. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - the input value has exactly one output.
2 & 3/7
An arc is a portion of a circumference of a circle.
x^(4+7) = x^11

47. What are the smallest three prime numbers greater than 65?
N! / (n-k)!
An isosceles right triangle.
1
67 - 71 - 73

48. Define an 'expression'.
180 degrees
No - the input value has exactly one output.
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)
The longest arc between points A and B on a circle'S diameter.

49. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
6
An angle which is supplementary to an interior angle.

50. a^2 - 2ab + b^2
(a - b)^2
3
90 degrees
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