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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. 5/8 in percent?
62.5%
5 OR -5
x= (1.2)(.8)lw
67 - 71 - 73

2. The ratio of the areas of two similar polygons is ...
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
x^(6-3) = x^3
F(x) - c
... the square of the ratios of the corresponding sides.

3. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The sum of digits is divisible by 9.
18

4. Evaluate 4/11 + 11/12
1 & 37/132
A reflection about the axis.
4a^2(b)
0

5. What is a minor arc?

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6. What is a set with no members called?
31 - 37
The empty set - denoted by a circle with a diagonal through it.
13
1/a^6

7. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
2(pi)r^2 + 2(pi)rh
55%
A reflection about the axis.

8. Which quandrant is the lower right hand?
Its negative reciprocal. (-b/a)
IV
4:5
4725

9. Which is greater? 27^(-4) or 9^(-8)
The set of elements which can be found in either A or B.
(amount of increase/original price) x 100%
Undefined - because we can'T divide by 0.
27^(-4)

10. What is the absolute value function?
G(x) = {x}
441000 = 1 10 10 10 21 * 21
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The curve opens upward and the vertex is the minimal point on the graph.

11. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
...multiply by 100.
4:5
28. n = 8 - k = 2. n! / k!(n-k)!
The objects within a set.

12. Max and Min lengths for a side of a triangle?
N! / (n-k)!
The third side is greater than the difference and less than the sum.
I
75:11

13. Factor a^2 + 2ab + b^2
(a + b)^2
180 degrees
Sqrt 12
16.6666%

14. Describe the relationship between the graphs of x^2 and (1/2)x^2
48
All numbers multiples of 1.
The second graph is less steep.
No - only like radicals can be added.

15. Length of an arc of a circle?
The set of output values for a function.
0
Angle/360 x 2(pi)r
A chord is a line segment joining two points on a circle.

16. What is the empty set?
180 degrees
II
A set with no members - denoted by a circle with a diagonal through it.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

17. What is the order of operations?
A reflection about the origin.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
A = pi(r^2)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

18. Order of quadrants:
72
From northeast - counterclockwise. I - II - III - IV
Members or elements
A subset.

19. How to find the area of a sector?
41 - 43 - 47
Angle/360 x (pi)r^2
12sqrt2
6

20. 60 < all primes <70
61 - 67
4.25 - 6 - 22
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
(b + c)

21. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
The overlapping sections.
The interesection of A and B.
Its negative reciprocal. (-b/a)
2sqrt6

22. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
4725
52
500
87.5%

23. a^2 - 2ab + b^2
87.5%
Yes - like radicals can be added/subtracted.
(a - b)^2
The point of intersection of the systems.

24. Volume for a cylinder?
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...
3/2 - 5/3
Area of the base X height = (pi)hr^2
The shortest arc between points A and B on a circle'S diameter.

25. How to find the diagonal of a rectangular solid?
A = pi(r^2)
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.
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).

26. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
130pi
1.0843 X 10^11
1
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

27. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
Divide by 100.
Cd
18

28. (-1)^3 =
A tangent is a line that only touches one point on the circumference of a circle.
1
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
(amount of decrease/original price) x 100%

29. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
$11 -448
90pi
Its divisible by 2 and by 3.
2^9 / 2 = 256

30. What is the area of a regular hexagon with side 6?
4:5
Yes - like radicals can be added/subtracted.
27^(-4)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

31. What is the side length of an equilateral triangle with altitude 6?
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)
413.03 / 10^4 (move the decimal point 4 places to the left)
Indeterminable.

32. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
41 - 43 - 47
4:5
70
12sqrt2

33. Is 0 even or odd?
Even
8
1.0843 X 10^11
N! / (k!)(n-k)!

34. Can the output value of a function have more than one input value?
87.5%
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
Yes. [i.e. f(x) = x^2 - 1
An expression with just one term (-6x - 2a^2)

35. A number is divisible by 3 if ...
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
(a + b)^2
The sum of its digits is divisible by 3.
F(x) - c

36. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
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)
An arc is a portion of a circumference of a circle.
x= (1.2)(.8)lw
52

37. 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
(a + b)^2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
An expression with just one term (-6x - 2a^2)

38. To convert a percent to a fraction....
(a + b)^2
Divide by 100.
20.5
III

39. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1/2 times 7/3
1
(a + b)^2

40. 30< all primes<40
31 - 37
23 - 29
1.0843 X 10^11
5 OR -5

41. 5x^2 - 35x -55 = 0
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...
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
5 OR -5
Two angles whose sum is 90.

42. Write 10 -843 X 10^7 in scientific notation
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Part = Percent X Whole
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1.0843 X 10^11

43. Legs: 3 - 4. Hypotenuse?
1/2 times 7/3
5
Relationship cannot be determined (what if x is negative?)
4096

44. Simplify the expression (p^2 - q^2)/ -5(q - p)
No - only like radicals can be added.
(p + q)/5
12.5%
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

45. Describe the relationship between 3x^2 and 3(x - 1)^2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
(b + c)
2.592 kg
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

46. In a regular polygon with n sides - the formula for the sum of interior angles
10! / (10-3)! = 720
37.5%
The objects within a set.
(n-2) x 180

47. Whats the difference between factors and multiples?
500
Factors are few - multiples are many.
90 degrees
(a - b)^2

48. Simplify (a^2 + b)^2 - (a^2 - b)^2
2sqrt6
x(x - y + 1)
4a^2(b)
27^(-4)

49. Legs 6 - 8. Hypotenuse?
10
A reflection about the origin.
7 / 1000
A circle centered on the origin with radius 8.

50. Solve the quadratic equation ax^2 + bx + c= 0
4.25 - 6 - 22
The third side is greater than the difference and less than the sum.
2.592 kg
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a