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GRE Math: Common Errors

Subjects : gre, math

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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. What is the side length of an equilateral triangle with altitude 6?
23 - 29
(b + c)
(a - b)(a + 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...

2. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Diameter(Pi)
When the function is not defined for all real numbers -; only a subset of the real numbers.
1:sqrt3:2
A 30-60-90 triangle.

3. 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?
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
From northeast - counterclockwise. I - II - III - IV
(a - b)(a + b)

4. What is the graph of f(x) shifted left c units or spaces?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Part = Percent X Whole
The sum of digits is divisible by 9.
F(x + c)

5. What is a finite set?
18
A set with a number of elements which can be counted.
1
Ax^2 + bx + c where a -b and c are constants and a /=0

6. What is the sum of the angles of a triangle?
Relationship cannot be determined (what if x is negative?)
70
Its last two digits are divisible by 4.
180 degrees

7. What are the irrational numbers?

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8. What is the graph of f(x) shifted upward c units or spaces?
N! / (k!)(n-k)!
67 - 71 - 73
F(x) + c
(n-2) x 180

9. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
A subset.
A circle centered at -2 - -2 with radius 3.
N! / (k!)(n-k)!
130pi

10. Describe the relationship between 3x^2 and 3(x - 1)^2
The shortest arc between points A and B on a circle'S diameter.
Sector area = (n/360) X (pi)r^2
An arc is a portion of a circumference of a circle.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

11. Evaluate 3& 2/7 / 1/3
Two angles whose sum is 90.
y = (x + 5)/2
1/(x^y)
9 & 6/7

12. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
9 & 6/7
5 OR -5
6

13. What are complementary angles?
Undefined
Members or elements
52
Two angles whose sum is 90.

14. A number is divisible by 4 is...
3sqrt4
Its last two digits are divisible by 4.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A chord is a line segment joining two points on a circle.

15. P and r are factors of 100. What is greater - pr or 100?
F(x + c)
A = pi(r^2)
Indeterminable.
The direction of the inequality is reversed.

16. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
The objects within a set.
5 OR -5
1
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

17. Whats the difference between factors and multiples?
Factors are few - multiples are many.
From northeast - counterclockwise. I - II - III - IV
F(x) - c
1:sqrt3:2

18. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
13
62.5%
Sector area = (n/360) X (pi)r^2

19. 70 < all primes< 80
16.6666%
71 - 73 - 79
Sector area = (n/360) X (pi)r^2
The second graph is less steep.

20. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
6
1
A reflection about the origin.
N! / (k!)(n-k)!

21. Formula to calculate arc length?
3 - -3
Arc length = (n/360) x pi(2r) where n is the number of degrees.
10! / 3!(10-3)! = 120
$3 -500 in the 9% and $2 -500 in the 7%.

22. To convert a percent to a fraction....
Sector area = (n/360) X (pi)r^2
Divide by 100.
y = (x + 5)/2
Yes - like radicals can be added/subtracted.

23. What is the area of a regular hexagon with side 6?
48
6
87.5%
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

24. Define an 'expression'.
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 objects within a set.
1
Two angles whose sum is 90.

25. What is the measure of an exterior angle of a regular pentagon?
Sector area = (n/360) X (pi)r^2
72
True
83.333%

26. Reduce: 4.8 : 0.8 : 1.6
(amount of increase/original price) x 100%
6 : 1 : 2
An angle which is supplementary to an interior angle.
N! / (k!)(n-k)!

27. How to find the diagonal of a rectangular solid?
1/2 times 7/3
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
A 30-60-90 triangle.
3

28. Simplify (a^2 + b)^2 - (a^2 - b)^2
A tangent is a line that only touches one point on the circumference of a circle.
4096
(base*height) / 2
4a^2(b)

29. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
4a^2(b)
71 - 73 - 79

30. What is the maximum value for the function g(x) = (-2x^2) -1?
An angle which is supplementary to an interior angle.
288 (8 9 4)
x= (1.2)(.8)lw
1

31. A number is divisible by 3 if ...
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Undefined
The sum of its digits is divisible by 3.
.0004809 X 10^11

32. Max and Min lengths for a side of a triangle?
The third side is greater than the difference and less than the sum.
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)
Yes - like radicals can be added/subtracted.
A set with no members - denoted by a circle with a diagonal through it.

33. What is the slope of a horizontal line?
12.5%
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
62.5%
0

34. Number of degrees in a triangle
6 : 1 : 2
The set of output values for a function.
(amount of increase/original price) x 100%
180

35. Factor a^2 + 2ab + b^2
(a - b)(a + b)
A reflection about the origin.
(a + b)^2
288 (8 9 4)

36. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
6
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

37. 4.809 X 10^7 =
Members or elements
.0004809 X 10^11
90
Yes - like radicals can be added/subtracted.

38. 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)]?
From northeast - counterclockwise. I - II - III - IV
True
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The second graph is less steep.

39. 1/6 in percent?
16.6666%
The sum of digits is divisible by 9.
F(x) + c
.0004809 X 10^11

40. What are 'Supplementary angles?'
Two angles whose sum is 180.
Its last two digits are divisible by 4.
2.592 kg
55%

41. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
10! / 3!(10-3)! = 120
A 30-60-90 triangle.
31 - 37
An arc is a portion of a circumference of a circle.

42. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
...multiply by 100.
71 - 73 - 79
2sqrt6
(a - b)^2

43. sqrt 2(sqrt 6)=
Move the decimal point to the right x places
Sqrt 12
180 degrees
1

44. 5/6 in percent?
Factors are few - multiples are many.
No - the input value has exactly one output.
IV
83.333%

45. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
2.592 kg
1/a^6
A circle centered at -2 - -2 with radius 3.
10! / (10-3)! = 720

46. Evaluate (4^3)^2
1
6
4096
A circle centered on the origin with radius 8.

47. Describe the relationship between the graphs of x^2 and (1/2)x^2
500
The set of elements found in both A and B.
Sqrt 12
The second graph is less steep.

48. How to find the circumference of a circle which circumscribes a square?
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)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
13pi / 2
.0004809 X 10^11

49. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
5
(a + b)^2
441000 = 1 10 10 10 21 * 21
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

50. 1/2 divided by 3/7 is the same as
(amount of increase/original price) x 100%
1/2 times 7/3
(n-2) x 180
Cd

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GRE Math: Common Errors

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