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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. What is the area of a regular hexagon with side 6?
No - only like radicals can be added.
Its last two digits are divisible by 4.
75:11
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

2. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
10! / (10-3)! = 720
180 degrees
The steeper the slope.
.0004809 X 10^11

3. (x^2)^4
The sum of its digits is divisible by 3.
10
12! / 5!7! = 792
x^(2(4)) =x^8 = (x^4)^2

4. What is the name for a grouping of the members within a set based on a shared characteristic?
(a + b)^2
A subset.
y = (x + 5)/2
2

5. Legs 5 - 12. Hypotenuse?
6
No - only like radicals can be added.
13
II

6. What is the measure of an exterior angle of a regular pentagon?
90 degrees
72
Relationship cannot be determined (what if x is negative?)
(amount of decrease/original price) x 100%

7. 1/6 in percent?
16.6666%
Part = Percent X Whole
y = (x + 5)/2
4096

8. The slope of a line perpendicular to (a/b)?
The interesection of A and B.
(n-2) x 180
6 : 1 : 2
Its negative reciprocal. (-b/a)

9. Is 0 even or odd?
An angle which is supplementary to an interior angle.
Even
Infinite.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

10. Factor a^2 + 2ab + b^2
(a + b)^2
2(pi)r^2 + 2(pi)rh
9 & 6/7
10! / 3!(10-3)! = 120

11. Can the input value of a function have more than one output value (i.e. x: y - y1)?
55%
No - the input value has exactly one output.
$11 -448
20.5

12. Can you simplify sqrt72?
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)
A reflection about the axis.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The sum of its digits is divisible by 3.

13. The larger the absolute value of the slope...
87.5%
4a^2(b)
6 : 1 : 2
The steeper the slope.

14. 3/8 in percent?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
G(x) = {x}
37.5%
53 - 59

15. What are 'Supplementary angles?'
N! / (k!)(n-k)!
4725
83.333%
Two angles whose sum is 180.

16. 6w^2 - w - 15 = 0
5
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
3/2 - 5/3
288 (8 9 4)

17. What is the percent formula?
1/2 times 7/3
A = I (1 + rt)
(a + b)^2
Part = Percent X Whole

18. 5/6 in percent?
13
83.333%
(a + b)^2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

19. 50 < all primes< 60
A circle centered at -2 - -2 with radius 3.
441000 = 1 10 10 10 21 * 21
53 - 59
180

20. 1/2 divided by 3/7 is the same as
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
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.
1:1:sqrt2
1/2 times 7/3

21. (-1)^2 =
2(pi)r^2 + 2(pi)rh
1
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.
x^(2(4)) =x^8 = (x^4)^2

22. Find the surface area of a cylinder with radius 3 and height 12.
A set with no members - denoted by a circle with a diagonal through it.
31 - 37
90pi
Two angles whose sum is 90.

23. 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?
52
Diameter(Pi)
18
IV

24. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
An infinite set.
90pi

25. How to find the circumference of a circle which circumscribes a square?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
13pi / 2
413.03 / 10^4 (move the decimal point 4 places to the left)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

26. 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?
0
N! / (k!)(n-k)!
Yes - like radicals can be added/subtracted.
An angle which is supplementary to an interior angle.

27. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
...multiply by 100.
1
A circle centered at -2 - -2 with radius 3.

28. Whats the difference between factors and multiples?
Factors are few - multiples are many.
13
5 OR -5
130pi

29. 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?
x(x - y + 1)
2.592 kg
10
.0004809 X 10^11

30. 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?
A central angle is an angle formed by 2 radii.
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
Move the decimal point to the right x places
8

31. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
The set of input values for a function.
A set with no members - denoted by a circle with a diagonal through it.
Arc length = (n/360) x pi(2r) where n is the number of degrees.

32. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
The interesection of A and B.
The greatest value minus the smallest.
The overlapping sections.

33. Area of a triangle?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Diameter(Pi)
(base*height) / 2

34. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
Lies opposite the greater angle
F(x + c)
A circle centered at -2 - -2 with radius 3.
.0004809 X 10^11

35. What is a minor arc?

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36. 60 < all primes <70
3
61 - 67
12! / 5!7! = 792
x^(6-3) = x^3

37. To multiply a number by 10^x
72
41 - 43 - 47
Move the decimal point to the right x places
48

38. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
The empty set - denoted by a circle with a diagonal through it.
The sum of digits is divisible by 9.
500

39. To convert a percent to a fraction....
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1
Divide by 100.
1 & 37/132

40. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
6
90
1.0843 X 10^11
0

41. 5/8 in percent?
0
1:sqrt3:2
6
62.5%

42. Define a 'Term' -
Lies opposite the greater angle
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)
I
Divide by 100.

43. x^4 + x^7 =
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Move the decimal point to the right x places
(n-2) x 180
x^(4+7) = x^11

44. What is the 'Solution' for a set of inequalities.
The overlapping sections.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
F(x-c)
2(pi)r^2 + 2(pi)rh

45. What is the order of operations?
The set of elements which can be found in either A or B.
72
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The curve opens downward and the vertex is the maximum point on the graph.

46. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
31 - 37
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
No - the input value has exactly one output.
2

47. a^2 + 2ab + b^2
(a + b)^2
(amount of increase/original price) x 100%
28. n = 8 - k = 2. n! / k!(n-k)!
Yes - like radicals can be added/subtracted.

48. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
2^9 / 2 = 256
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
True
70

49. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
Angle/360 x 2(pi)r
The set of input values for a function.
(a - b)^2

50. (6sqrt3) x (2sqrt5) =
2(pi)r^2 + 2(pi)rh
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The objects within a set.
55%