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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. 20<all primes<30
23 - 29
The set of input values for a function.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The two xes after factoring.

2. (a^-1)/a^5
2
The longest arc between points A and B on a circle'S diameter.
1/a^6
(p + q)/5

3. What is the slope of a horizontal line?
0
Its divisible by 2 and by 3.
12sqrt2
When the function is not defined for all real numbers -; only a subset of the real numbers.

4. 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?
N! / (k!)(n-k)!
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A tangent is a line that only touches one point on the circumference of a circle.

5. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
True
(amount of increase/original price) x 100%
Two angles whose sum is 90.

6. Can you simplify sqrt72?
71 - 73 - 79
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
... the square of the ratios of the corresponding sides.
1/a^6

7. (-1)^3 =
1
4725
53 - 59
180 degrees

8. How many multiples does a given number have?
Infinite.
A chord is a line segment joining two points on a circle.
The point of intersection of the systems.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

9. 5/6 in percent?
83.333%
Lies opposite the greater angle
10
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

10. Write 10 -843 X 10^7 in scientific notation
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1.0843 X 10^11
1
Indeterminable.

11. What is the name for a grouping of the members within a set based on a shared characteristic?
The two xes after factoring.
The shortest arc between points A and B on a circle'S diameter.
A = I (1 + rt)
A subset.

12. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
Angle/360 x 2(pi)r
Arc length = (n/360) x pi(2r) where n is the number of degrees.
6 : 1 : 2
18

13. sqrt 2(sqrt 6)=
9 : 25
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Sqrt 12
$11 -448

14. What is an arc of a circle?
x= (1.2)(.8)lw
20.5
An arc is a portion of a circumference of a circle.
75:11

15. Legs 6 - 8. Hypotenuse?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
20.5
10
1

16. Is 0 even or odd?
Even
288 (8 9 4)
180
(a - b)(a + b)

17. The perimeter of a square is 48 inches. The length of its diagonal is:
4:5
12sqrt2
An arc is a portion of a circumference of a circle.
0

18. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
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...
27^(-4)
4:5
9 & 6/7

19. What is the sum of the angles of a triangle?
180 degrees
The union of A and B.
3
(amount of increase/original price) x 100%

20. Formula to find a circle'S circumference from its diameter?
C = (pi)d
$3 -500 in the 9% and $2 -500 in the 7%.
48
6 : 1 : 2

21. What does the graph x^2 + y^2 = 64 look like?
(a + b)^2
1:1:sqrt2
A circle centered on the origin with radius 8.
Yes. [i.e. f(x) = x^2 - 1

22. Describe the relationship between 3x^2 and 3(x - 1)^2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
N! / (n-k)!
...multiply by 100.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

23. 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?
6 : 1 : 2
(b + c)
Members or elements
2.592 kg

24. 70 < all primes< 80
83.333%
x^(6-3) = x^3
No - the input value has exactly one output.
71 - 73 - 79

25. (x^2)^4
413.03 / 10^4 (move the decimal point 4 places to the left)
x^(2(4)) =x^8 = (x^4)^2
All numbers multiples of 1.
Area of the base X height = (pi)hr^2

26. 1/6 in percent?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The sum of its digits is divisible by 3.
16.6666%
90

27. A number is divisible by 9 if...
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
N! / (k!)(n-k)!
288 (8 9 4)
The sum of digits is divisible by 9.

28. Solve the quadratic equation ax^2 + bx + c= 0
A = I (1 + rt)
The curve opens downward and the vertex is the maximum point on the graph.
18
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

29. What is a subset?
37.5%
A grouping of the members within a set based on a shared characteristic.
Yes. [i.e. f(x) = x^2 - 1
Two angles whose sum is 90.

30. What is the maximum value for the function g(x) = (-2x^2) -1?
4.25 - 6 - 22
1
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...
70

31. Formula for the area of a circle?
x^(2(4)) =x^8 = (x^4)^2
A = pi(r^2)
2^9 / 2 = 256
6

32. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
1
(a - b)(a + b)
...multiply by 100.

33. 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?
C = 2(pi)r
N! / (n-k)!
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
180 degrees

34. What is the measure of an exterior angle of a regular pentagon?
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)
0
72
2sqrt6

35. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
28. n = 8 - k = 2. n! / k!(n-k)!
10! / 3!(10-3)! = 120
(a + b)^2
An isosceles right triangle.

36. Convert 0.7% to a fraction.
41 - 43 - 47
7 / 1000
Move the decimal point to the right x places
288 (8 9 4)

37. Can you subtract 3sqrt4 from sqrt4?
(base*height) / 2
1.7
Yes - like radicals can be added/subtracted.
1 & 37/132

38. Which is greater? 64^5 or 16^8
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.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
An infinite set.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

39. 413.03 x 10^(-4) =
71 - 73 - 79
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
413.03 / 10^4 (move the decimal point 4 places to the left)
20.5

40. In a regular polygon with n sides - the formula for the sum of interior angles
70
(n-2) x 180
The objects within a set.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

41. Factor a^2 + 2ab + b^2
$11 -448
52
The curve opens downward and the vertex is the maximum point on the graph.
(a + b)^2

42. What is a chord of a circle?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1/(x^y)
(p + q)/5
A chord is a line segment joining two points on a circle.

43. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
(amount of decrease/original price) x 100%
Sector area = (n/360) X (pi)r^2
A circle centered at -2 - -2 with radius 3.
x(x - y + 1)

44. (6sqrt3) x (2sqrt5) =
75:11
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
F(x-c)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

45. Which is greater? 200x^295 or 10x^294?
1/(x^y)
72
Relationship cannot be determined (what if x is negative?)
2^9 / 2 = 256

46. What is the graph of f(x) shifted right c units or spaces?
0
F(x-c)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
2(pi)r^2 + 2(pi)rh

47. What are 'Supplementary angles?'
70
Lies opposite the greater angle
Two angles whose sum is 180.
Triangles with same measure and same side lengths.

48. The objects in a set are called two names:
III
1
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Members or elements

49. Which quadrant is the upper right hand?
62.5%
A set with no members - denoted by a circle with a diagonal through it.
C = (pi)d
I

50. What are the roots of the quadrinomial x^2 + 2x + 1?
Divide by 100.
The two xes after factoring.
Undefined
A reflection about the origin.

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GRE Math: Common Errors

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