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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. 8.84 / 5.2
F(x + c)
1.7
10! / (10-3)! = 720
...multiply by 100.

2. What is the percent formula?
Part = Percent X Whole
(amount of decrease/original price) x 100%
(base*height) / 2
11 - 13 - 17 - 19

3. 10^6 has how many zeroes?
6
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)
Relationship cannot be determined (what if x is negative?)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

4. Evaluate 4/11 + 11/12
1 & 37/132
y = (x + 5)/2
1
1

5. 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))?
10! / (10-3)! = 720
A reflection about the origin.
N! / (n-k)!
20.5

6. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The greatest value minus the smallest.
1/(x^y)
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

7. What is a subset?
90pi
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)
130pi
A grouping of the members within a set based on a shared characteristic.

8. 50 < all primes< 60
No - only like radicals can be added.
4a^2(b)
53 - 59
71 - 73 - 79

9. What is the set of elements which can be found in either A or B?
The direction of the inequality is reversed.
(a + b)^2
The union of A and B.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

10. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
1.7
90 degrees
A set with no members - denoted by a circle with a diagonal through it.
2^9 / 2 = 256

11. 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?
Ax^2 + bx + c where a -b and c are constants and a /=0
52
The two xes after factoring.
Members or elements

12. Pi is a ratio of what to what?

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13. (a^-1)/a^5
12.5%
1/a^6
Indeterminable.
The curve opens upward and the vertex is the minimal point on the graph.

14. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
2 & 3/7
4.25 - 6 - 22
y = (x + 5)/2

15. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
75:11
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The third side is greater than the difference and less than the sum.
2^9 / 2 = 256

16. 5/8 in percent?
62.5%
$11 -448
2^9 / 2 = 256
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

17. What is an exterior angle?
An angle which is supplementary to an interior angle.
(a - b)(a + b)
87.5%
12sqrt2

18. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
(p + q)/5
The objects within a set.
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)
90

19. What is a major arc?

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20. How to find the circumference of a circle which circumscribes a square?
Members or elements
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The set of output values for a function.

21. Can you subtract 3sqrt4 from sqrt4?
Angle/360 x (pi)r^2
Yes - like radicals can be added/subtracted.
48
3 - -3

22. Circumference of a circle?
Diameter(Pi)
31 - 37
Yes. [i.e. f(x) = x^2 - 1
2^9 / 2 = 256

23. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Triangles with same measure and same side lengths.
A reflection about the origin.

24. Which quandrant is the lower right hand?
1.0843 X 10^11
No - only like radicals can be added.
28. n = 8 - k = 2. n! / k!(n-k)!
IV

25. Which quadrant is the upper left hand?
1
288 (8 9 4)
II
C = 2(pi)r

26. What is the intersection of A and B?
The set of elements found in both A and B.
Angle/360 x 2(pi)r
The direction of the inequality is reversed.
Two equal sides and two equal angles.

27. The slope of a line perpendicular to (a/b)?
3 - -3
Its negative reciprocal. (-b/a)
A chord is a line segment joining two points on a circle.
All numbers multiples of 1.

28. What is the name for a grouping of the members within a set based on a shared characteristic?
An infinite set.
4.25 - 6 - 22
A subset.
The interesection of A and B.

29. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
3
Part = Percent X Whole
3 - -3

30. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
Yes. [i.e. f(x) = x^2 - 1
2(pi)r^2 + 2(pi)rh
Two angles whose sum is 90.

31. When does a function automatically have a restricted domain (2)?
Angle/360 x (pi)r^2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Two equal sides and two equal angles.
The empty set - denoted by a circle with a diagonal through it.

32. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
Sector area = (n/360) X (pi)r^2
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
I

33. 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)!
y = 2x^2 - 3
Its last two digits are divisible by 4.
Arc length = (n/360) x pi(2r) where n is the number of degrees.

34. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A reflection about the axis.
72
A set with no members - denoted by a circle with a diagonal through it.
1/(x^y)

35. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
12sqrt2
A reflection about the origin.
Its divisible by 2 and by 3.
Lies opposite the greater angle

36. How to find the diagonal of a rectangular solid?
1/(x^y)
53 - 59
83.333%
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

37. Formula to find a circle'S circumference from its diameter?
An arc is a portion of a circumference of a circle.
(p + q)/5
Arc length = (n/360) x pi(2r) where n is the number of degrees.
C = (pi)d

38. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
From northeast - counterclockwise. I - II - III - IV
y = (x + 5)/2
70
The set of input values for a function.

39. A number is divisible by 3 if ...
6
Its negative reciprocal. (-b/a)
The sum of its digits is divisible by 3.
16.6666%

40. How many sides does a hexagon have?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
When the function is not defined for all real numbers -; only a subset of the real numbers.
6
A reflection about the origin.

41. What are congruent triangles?
A reflection about the axis.
41 - 43 - 47
Triangles with same measure and same side lengths.
Lies opposite the greater angle

42. Evaluate 3& 2/7 / 1/3
87.5%
IV
(amount of increase/original price) x 100%
9 & 6/7

43. 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?
N! / (n-k)!
11 - 13 - 17 - 19
1
The greatest value minus the smallest.

44. What is the graph of f(x) shifted right c units or spaces?
9 : 25
F(x-c)
Two angles whose sum is 180.
2 & 3/7

45. a^2 - 2ab + b^2
62.5%
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
(a - b)^2
4a^2(b)

46. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - the input value has exactly one output.
An expression with just one term (-6x - 2a^2)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
3sqrt4

47. Formula for the area of a circle?
48
Its negative reciprocal. (-b/a)
A = pi(r^2)
87.5%

48. What is a central angle?
2.592 kg
A grouping of the members within a set based on a shared characteristic.
A central angle is an angle formed by 2 radii.
The set of output values for a function.

49. What is the maximum value for the function g(x) = (-2x^2) -1?
The set of input values for a function.
1
Divide by 100.
All numbers multiples of 1.

50. How to determine percent increase?
288 (8 9 4)
All numbers multiples of 1.
27^(-4)
(amount of increase/original price) x 100%