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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. 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
83.333%
All numbers multiples of 1.
The shortest arc between points A and B on a circle'S diameter.
18

2. Evaluate (4^3)^2
The longest arc between points A and B on a circle'S diameter.
4096
9 & 6/7
An isosceles right triangle.

3. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
The longest arc between points A and B on a circle'S diameter.
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...
y = (x + 5)/2
8

4. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
12.5%
3 - -3
1

5. What number between 70 & 75 - inclusive - has the greatest number of factors?
180 degrees
.0004809 X 10^11
x(x - y + 1)
72

6. What is the percent formula?
48
Part = Percent X Whole
The longest arc between points A and B on a circle'S diameter.
No - only like radicals can be added.

7. Formula to find a circle'S circumference from its diameter?
(n-2) x 180
A set with a number of elements which can be counted.
C = (pi)d
1

8. How to determine percent increase?
(amount of increase/original price) x 100%
The overlapping sections.
10
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

9. What is the order of operations?
A reflection about the origin.
A = pi(r^2)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1

10. What is a piecewise equation?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Angle/360 x 2(pi)r
(base*height) / 2
(b + c)

11. 8.84 / 5.2
90pi
1.7
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)
Two equal sides and two equal angles.

12. Order of quadrants:
1/(x^y)
1
From northeast - counterclockwise. I - II - III - IV
1/a^6

13. What is the intersection of A and B?
Undefined
The set of elements found in both A and B.
(amount of decrease/original price) x 100%
The set of elements which can be found in either A or B.

14. What is a minor arc?

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15. What is the empty set?
37.5%
A set with no members - denoted by a circle with a diagonal through it.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The set of output values for a function.

16. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
G(x) = {x}
The union of A and B.
5 OR -5

17. What is a major arc?

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18. 4.809 X 10^7 =
.0004809 X 10^11
9 : 25
$11 -448
(a + b)^2

19. 2sqrt4 + sqrt4 =
3sqrt4
37.5%
52
87.5%

20. What is the name for a grouping of the members within a set based on a shared characteristic?
7 / 1000
A subset.
9 & 6/7
The union of A and B.

21. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
2 & 3/7
20.5
3
The steeper the slope.

22. 50 < all primes< 60
The third side is greater than the difference and less than the sum.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
$3 -500 in the 9% and $2 -500 in the 7%.
53 - 59

23. When the 'a' in a parabola is positive....
The objects within a set.
The union of A and B.
Undefined - because we can'T divide by 0.
The curve opens upward and the vertex is the minimal point on the graph.

24. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
(amount of decrease/original price) x 100%
Two angles whose sum is 180.
Diameter(Pi)

25. Factor a^2 + 2ab + b^2
From northeast - counterclockwise. I - II - III - IV
(a + b)^2
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The steeper the slope.

26. (a^-1)/a^5
1
... the square of the ratios of the corresponding sides.
The sum of its digits is divisible by 3.
1/a^6

27. P and r are factors of 100. What is greater - pr or 100?
x(x - y + 1)
A reflection about the axis.
3 - -3
Indeterminable.

28. Which is greater? 27^(-4) or 9^(-8)
2
The set of input values for a function.
(base*height) / 2
27^(-4)

29. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
61 - 67
12! / 5!7! = 792
67 - 71 - 73
Two angles whose sum is 180.

30. Formula of rectangle where l increases by 20% and w decreases by 20%
6 : 1 : 2
5 OR -5
x= (1.2)(.8)lw
Undefined

31. Max and Min lengths for a side of a triangle?
Angle/360 x (pi)r^2
9 : 25
The third side is greater than the difference and less than the sum.
x(x - y + 1)

32. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
... the square of the ratios of the corresponding sides.
Ax^2 + bx + c where a -b and c are constants and a /=0
8
$3 -500 in the 9% and $2 -500 in the 7%.

33. Formula for the area of a sector of a circle?
x^(2(4)) =x^8 = (x^4)^2
Sector area = (n/360) X (pi)r^2
Angle/360 x 2(pi)r
A = I (1 + rt)

34. Which is greater? 200x^295 or 10x^294?
13
Indeterminable.
2^9 / 2 = 256
Relationship cannot be determined (what if x is negative?)

35. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
N! / (n-k)!
y = 2x^2 - 3
A central angle is an angle formed by 2 radii.

36. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
x(x - y + 1)
28. n = 8 - k = 2. n! / k!(n-k)!
When the function is not defined for all real numbers -; only a subset of the real numbers.
The curve opens upward and the vertex is the minimal point on the graph.

37. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
The point of intersection of the systems.
A circle centered on the origin with radius 8.
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.

38. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
0
61 - 67
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
A reflection about the axis.

39. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
Angle/360 x (pi)r^2
6
1
87.5%

40. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
(p + q)/5
C = 2(pi)r
20.5
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

41. Length of an arc of a circle?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Angle/360 x 2(pi)r
2^9 / 2 = 256
A subset.

42. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Yes. [i.e. f(x) = x^2 - 1
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Undefined - because we can'T divide by 0.

43. a^2 - 2ab + b^2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Indeterminable.
(a - b)^2
Triangles with same measure and same side lengths.

44. Simplify the expression (p^2 - q^2)/ -5(q - p)
31 - 37
10! / (10-3)! = 720
4096
(p + q)/5

45. Can the input value of a function have more than one output value (i.e. x: y - y1)?
(a - b)^2
3 - -3
No - the input value has exactly one output.
The shortest arc between points A and B on a circle'S diameter.

46. Pi is a ratio of what to what?

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47. 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
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
Two angles whose sum is 90.
4a^2(b)

48. Simplify the expression [(b^2 - c^2) / (b - c)]
The steeper the slope.
4a^2(b)
(b + c)
An arc is a portion of a circumference of a circle.

49. (-1)^3 =
67 - 71 - 73
A reflection about the origin.
When the function is not defined for all real numbers -; only a subset of the real numbers.
1

50. 1/2 divided by 3/7 is the same as
413.03 / 10^4 (move the decimal point 4 places to the left)
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)
The point of intersection of the systems.
1/2 times 7/3