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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 set of elements which can be found in either A or B?
4a^2(b)
A 30-60-90 triangle.
Factors are few - multiples are many.
The union of A and B.

2. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
A circle centered at -2 - -2 with radius 3.
The curve opens downward and the vertex is the maximum point on the graph.
18
12! / 5!7! = 792

3. (x^2)^4
67 - 71 - 73
x^(2(4)) =x^8 = (x^4)^2
(a + b)^2
The set of elements found in both A and B.

4. What are congruent triangles?
Triangles with same measure and same side lengths.
y = 2x^2 - 3
87.5%
Sqrt 12

5. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1
1.7

6. What is a tangent?
Sqrt 12
An isosceles right triangle.
2^9 / 2 = 256
A tangent is a line that only touches one point on the circumference of a circle.

7. What percent of 40 is 22?
(a - b)^2
N! / (n-k)!
55%
13pi / 2

8. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
The union of A and B.
3
F(x + c)

9. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
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 set of output values for a function.
A 30-60-90 triangle.
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)

10. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
10! / 3!(10-3)! = 120
The point of intersection of the systems.
(a + b)^2

11. What is the 'union' of A and B?
(a - b)^2
10
The set of elements which can be found in either A or B.
(a + b)^2

12. Pi is a ratio of what to what?

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13. What is the percent formula?
180 degrees
Part = Percent X Whole
0
90pi

14. 20<all primes<30
23 - 29
The interesection of A and B.
III
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

15. What is the area of a regular hexagon with side 6?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
F(x-c)
The two xes after factoring.

16. What is the 'domain' of a function?
3sqrt4
The point of intersection of the systems.
The set of input values for a function.
The set of elements which can be found in either A or B.

17. How to find the circumference of a circle which circumscribes a square?
12sqrt2
(b + c)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
An angle which is supplementary to an interior angle.

18. 60 < all primes <70
4a^2(b)
A set with a number of elements which can be counted.
61 - 67
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

19. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
53 - 59
3
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

20. What is the formula for compounded interest?
When the function is not defined for all real numbers -; only a subset of the real numbers.
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.
0
9 : 25

21. 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?
87.5%
x^(6-3) = x^3
N! / (k!)(n-k)!
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

22. a^2 + 2ab + b^2
An angle which is supplementary to an interior angle.
11 - 13 - 17 - 19
12.5%
(a + b)^2

23. Order of quadrants:
3 - -3
413.03 / 10^4 (move the decimal point 4 places to the left)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
From northeast - counterclockwise. I - II - III - IV

24. The larger the absolute value of the slope...
The steeper the slope.
... the square of the ratios of the corresponding sides.
288 (8 9 4)
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)

25. Formula to find a circle'S circumference from its radius?
Angle/360 x 2(pi)r
C = 2(pi)r
x^(6-3) = x^3
(n-2) x 180

26. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
The set of elements found in both A and B.
10! / 3!(10-3)! = 120
2 & 3/7
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

27. 1/2 divided by 3/7 is the same as
4a^2(b)
(amount of decrease/original price) x 100%
$3 -500 in the 9% and $2 -500 in the 7%.
1/2 times 7/3

28. 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?
A circle centered on the origin with radius 8.
52
Diameter(Pi)
The longest arc between points A and B on a circle'S diameter.

29. Volume for a cylinder?
18
Members or elements
The objects within a set.
Area of the base X height = (pi)hr^2

30. Length of an arc of a circle?
The longest arc between points A and B on a circle'S diameter.
G(x) = {x}
The sum of its digits is divisible by 3.
Angle/360 x 2(pi)r

31. 5/6 in percent?
The curve opens downward and the vertex is the maximum point on the graph.
83.333%
75:11
1/a^6

32. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
87.5%
Angle/360 x 2(pi)r
The overlapping sections.

33. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
The greatest value minus the smallest.
3
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

34. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
(amount of increase/original price) x 100%
x^(6-3) = x^3

35. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
Area of the base X height = (pi)hr^2
F(x-c)
A circle centered on the origin with radius 8.

36. Which quandrant is the lower right hand?
IV
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The shortest arc between points A and B on a circle'S diameter.
180

37. 30< all primes<40
No - the input value has exactly one output.
31 - 37
The empty set - denoted by a circle with a diagonal through it.
A chord is a line segment joining two points on a circle.

38. What is the slope of a horizontal line?
Sector area = (n/360) X (pi)r^2
No - only like radicals can be added.
0
1

39. How many sides does a hexagon have?
The sum of its digits is divisible by 3.
6
Sector area = (n/360) X (pi)r^2
1.0843 X 10^11

40. Can the input value of a function have more than one output value (i.e. x: y - y1)?
An expression with just one term (-6x - 2a^2)
No - the input value has exactly one output.
0
4:5

41. A number is divisible by 6 if...
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Its divisible by 2 and by 3.
The second graph is less steep.
5 OR -5

42. 1/8 in percent?
52
12.5%
A subset.
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.

43. What is the ratio of the sides of a 30-60-90 triangle?
3/2 - 5/3
A subset.
An infinite set.
1:sqrt3:2

44. Which quadrant is the upper right hand?
12! / 5!7! = 792
31 - 37
x^(4+7) = x^11
I

45. Area of a triangle?
Two angles whose sum is 90.
The union of A and B.
y = (x + 5)/2
(base*height) / 2

46. What does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
(amount of increase/original price) x 100%
The third side is greater than the difference and less than the sum.
Two angles whose sum is 90.

47. How to find the diagonal of a rectangular solid?
A set with a number of elements which can be counted.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Yes - like radicals can be added/subtracted.
The two xes after factoring.

48. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
IV
71 - 73 - 79
The third side is greater than the difference and less than the sum.
0

49. What is a piecewise equation?
31 - 37
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Yes. [i.e. f(x) = x^2 - 1
1/(x^y)

50. Formula for the area of a sector of a circle?
Yes. [i.e. f(x) = x^2 - 1
IV
(a + b)^2
Sector area = (n/360) X (pi)r^2