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GRE Math: Common Errors

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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. The ratio of the areas of two similar polygons is ...
9 & 6/7
... the square of the ratios of the corresponding sides.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The interesection of A and B.

2. What is the slope of a vertical line?

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3. When the 'a' in the parabola is negative...
F(x) - c
III
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The curve opens downward and the vertex is the maximum point on the graph.

4. The perimeter of a square is 48 inches. The length of its diagonal is:
The objects within a set.
10! / 3!(10-3)! = 120
12sqrt2
(a + b)^2

5. To convert a percent to a fraction....
13pi / 2
Divide by 100.
0
Pi is the ratio of a circle'S circumference to its diameter.

6. The objects in a set are called two names:
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Members or elements
(base*height) / 2
The second graph is less steep.

7. How to determine percent increase?
(amount of increase/original price) x 100%
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The curve opens upward and the vertex is the minimal point on the graph.
1

8. 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?
12sqrt2
... the square of the ratios of the corresponding sides.
2(pi)r^2 + 2(pi)rh
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

9. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
A grouping of the members within a set based on a shared characteristic.
2 & 3/7
The set of elements found in both A and B.
1

10. 5x^2 - 35x -55 = 0
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1/2 times 7/3
6 : 1 : 2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

11. Legs 5 - 12. Hypotenuse?
Sector area = (n/360) X (pi)r^2
13
Area of the base X height = (pi)hr^2
N! / (k!)(n-k)!

12. What is a tangent?
C = 2(pi)r
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)
130pi
A tangent is a line that only touches one point on the circumference of a circle.

13. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
An expression with just one term (-6x - 2a^2)
1
1.7
A set with a number of elements which can be counted.

14. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
4.25 - 6 - 22
Its last two digits are divisible by 4.
(a - b)^2
The sum of its digits is divisible by 3.

15. How to find the diagonal of a rectangular solid?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
...multiply by 100.
10

16. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
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...
N! / (k!)(n-k)!
20.5

17. 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?
10! / 3!(10-3)! = 120
The curve opens downward and the vertex is the maximum point on the graph.
y = 2x^2 - 3
The two xes after factoring.

18. Formula to find a circle'S circumference from its diameter?
C = (pi)d
67 - 71 - 73
31 - 37
7 / 1000

19. How many sides does a hexagon have?
No - the input value has exactly one output.
6
Ax^2 + bx + c where a -b and c are constants and a /=0
A chord is a line segment joining two points on a circle.

20. Which quadrant is the lower left hand?
The union of A and B.
1
Relationship cannot be determined (what if x is negative?)
III

21. 8.84 / 5.2
Its divisible by 2 and by 3.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
A chord is a line segment joining two points on a circle.
1.7

22. What is the graph of f(x) shifted downward c units or spaces?
The set of elements found in both A and B.
1
The sum of its digits is divisible by 3.
F(x) - c

23. What is the intersection of A and B?
From northeast - counterclockwise. I - II - III - IV
The set of elements found in both A and B.
28. n = 8 - k = 2. n! / k!(n-k)!
20.5

24. Legs 6 - 8. Hypotenuse?
The union of A and B.
The greatest value minus the smallest.
10
$11 -448

25. Length of an arc of a circle?
2sqrt6
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Angle/360 x 2(pi)r
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)

26. What are the irrational numbers?

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27. x^2 = 9. What is the value of x?
The interesection of A and B.
3sqrt4
3 - -3
An isosceles right triangle.

28. What is an arc of a circle?
When the function is not defined for all real numbers -; only a subset of the real numbers.
An arc is a portion of a circumference of a circle.
12sqrt2
(b + c)

29. 4.809 X 10^7 =
.0004809 X 10^11
G(x) = {x}
An infinite set.
The set of elements found in both A and B.

30. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
(n-2) x 180
Move the decimal point to the right x places
1

31. 60 < all primes <70
61 - 67
A set with no members - denoted by a circle with a diagonal through it.
55%
1

32. Define a 'Term' -
An arc is a portion of a circumference of a circle.
16.6666%
An isosceles right triangle.
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)

33. (x^2)^4
An arc is a portion of a circumference of a circle.
(amount of increase/original price) x 100%
x^(2(4)) =x^8 = (x^4)^2
F(x) - c

34. (-1)^3 =
C = (pi)d
2^9 / 2 = 256
1
From northeast - counterclockwise. I - II - III - IV

35. Which is greater? 64^5 or 16^8
1 & 37/132
F(x-c)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
3sqrt4

36. What is the maximum value for the function g(x) = (-2x^2) -1?
1
3sqrt4
180 degrees
0

37. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
9 : 25
7 / 1000
500
Angle/360 x 2(pi)r

38. x^4 + x^7 =
From northeast - counterclockwise. I - II - III - IV
x^(4+7) = x^11
An arc is a portion of a circumference of a circle.
The third side is greater than the difference and less than the sum.

39. Simplify 9^(1/2) X 4^3 X 2^(-6)?
The two xes after factoring.
1
3
x^(6-3) = x^3

40. How to determine percent decrease?
(amount of decrease/original price) x 100%
23 - 29
71 - 73 - 79
Sector area = (n/360) X (pi)r^2

41. Evaluate 3& 2/7 / 1/3
1.7
The second graph is less steep.
9 & 6/7
The set of elements which can be found in either A or B.

42. Which quadrant is the upper left hand?
Part = Percent X Whole
II
IV
413.03 / 10^4 (move the decimal point 4 places to the left)

43. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
Diameter(Pi)
3
75:11
41 - 43 - 47

44. What is the area of a regular hexagon with side 6?
.0004809 X 10^11
Its last two digits are divisible by 4.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
70

45. Evaluate (4^3)^2
4096
F(x) - c
.0004809 X 10^11
180

46. What is an exterior angle?
An angle which is supplementary to an interior angle.
N! / (n-k)!
500
Move the decimal point to the right x places

47. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
N! / (k!)(n-k)!
71 - 73 - 79
2^9 / 2 = 256

48. What is a piecewise equation?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
20.5
The set of elements found in both A and B.

49. What is a set with no members called?
x^(2(4)) =x^8 = (x^4)^2
Sector area = (n/360) X (pi)r^2
The empty set - denoted by a circle with a diagonal through it.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

50. What is the name of set with a number of elements which cannot be counted?
1:sqrt3:2
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
441000 = 1 10 10 10 21 * 21
An infinite set.

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GRE Math: Common Errors

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