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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. The larger the absolute value of the slope...
When the function is not defined for all real numbers -; only a subset of the real numbers.
$11 -448
The steeper the slope.
4096

2. 5/6 in percent?
A circle centered at -2 - -2 with radius 3.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
130pi
83.333%

3. How to determine percent increase?
(amount of increase/original price) x 100%
3 - -3
2sqrt6
1

4. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
6
3sqrt4
1 & 37/132

5. What are the integers?
x^(6-3) = x^3
... the square of the ratios of the corresponding sides.
All numbers multiples of 1.
Sector area = (n/360) X (pi)r^2

6. 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?
The set of input values for a function.
2^9 / 2 = 256
52
Members or elements

7. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
Angle/360 x 2(pi)r
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
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)
0

8. What is a major arc?

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9. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
3
(a - b)(a + b)
20.5

10. 30< all primes<40
1 & 37/132
31 - 37
441000 = 1 10 10 10 21 * 21
x^(6-3) = x^3

11. What are congruent triangles?
Triangles with same measure and same side lengths.
Its divisible by 2 and by 3.
The two xes after factoring.
The set of elements which can be found in either A or B.

12. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
6 : 1 : 2
x(x - y + 1)
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

13. Which quadrant is the upper right hand?
x= (1.2)(.8)lw
Two equal sides and two equal angles.
I
The sum of its digits is divisible by 3.

14. What is a central angle?
A central angle is an angle formed by 2 radii.
3sqrt4
12sqrt2
2.592 kg

15. When the 'a' in a parabola is positive....
1
27^(-4)
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The curve opens upward and the vertex is the minimal point on the graph.

16. 10<all primes<20
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
An arc is a portion of a circumference of a circle.
11 - 13 - 17 - 19
48

17. What is an isoceles triangle?
Even
288 (8 9 4)
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.
Two equal sides and two equal angles.

18. 6w^2 - w - 15 = 0
3/2 - 5/3
16.6666%
Angle/360 x 2(pi)r
x(x - y + 1)

19. When the 'a' in the parabola is negative...
The curve opens downward and the vertex is the maximum point on the graph.
1
Move the decimal point to the right x places
413.03 / 10^4 (move the decimal point 4 places to the left)

20. What is a parabola?
0
Ax^2 + bx + c where a -b and c are constants and a /=0
II
Factors are few - multiples are many.

21. Length of an arc of a circle?
The sum of digits is divisible by 9.
(base*height) / 2
Angle/360 x 2(pi)r
Its negative reciprocal. (-b/a)

22. Whats the difference between factors and multiples?
2.592 kg
1:1:sqrt2
Factors are few - multiples are many.
52

23. 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?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
48
Its divisible by 2 and by 3.
(a - b)^2

24. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
Two equal sides and two equal angles.
4:5
13pi / 2

25. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
y = 2x^2 - 3
The union of A and B.
37.5%
(n-2) x 180

26. 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))?
16.6666%
20.5
(amount of increase/original price) x 100%
Two angles whose sum is 180.

27. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
(amount of increase/original price) x 100%
9 : 25
Factors are few - multiples are many.

28. How to find the area of a sector?
13
Sqrt 12
Angle/360 x (pi)r^2
A reflection about the origin.

29. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
Members or elements
Its last two digits are divisible by 4.
Triangles with same measure and same side lengths.
A reflection about the axis.

30. Which quadrant is the lower left hand?
III
The set of elements which can be found in either A or B.
I
The sum of digits is divisible by 9.

31. 413.03 x 10^(-4) =
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
4a^2(b)
90pi
413.03 / 10^4 (move the decimal point 4 places to the left)

32. 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?
13pi / 2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
N! / (n-k)!
12.5%

33. Max and Min lengths for a side of a triangle?
71 - 73 - 79
The third side is greater than the difference and less than the sum.
A tangent is a line that only touches one point on the circumference of a circle.
(a + b)^2

34. 50 < all primes< 60
Yes. [i.e. f(x) = x^2 - 1
53 - 59
12.5%
Diameter(Pi)

35. To multiply a number by 10^x
2^9 / 2 = 256
The shortest arc between points A and B on a circle'S diameter.
Move the decimal point to the right x places
Cd

36. What is the graph of f(x) shifted downward c units or spaces?
23 - 29
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
.0004809 X 10^11
F(x) - c

37. What is the absolute value function?
G(x) = {x}
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
The union of A and B.
F(x) - c

38. What are 'Supplementary angles?'
Undefined - because we can'T divide by 0.
1
Two angles whose sum is 180.
The objects within a set.

39. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
Cd
1/(x^y)
Indeterminable.

40. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
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.
Sqrt 12
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

41. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
180
1
13
G(x) = {x}

42. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
A grouping of the members within a set based on a shared characteristic.
5 OR -5
90
Factors are few - multiples are many.

43. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
4a^2(b)
II

44. Can the output value of a function have more than one input value?
1
Yes. [i.e. f(x) = x^2 - 1
12.5%
The two xes after factoring.

45. Evaluate 3& 2/7 / 1/3
Factors are few - multiples are many.
The set of input values for a function.
F(x + c)
9 & 6/7

46. Which quadrant is the upper left hand?
II
27^(-4)
3 - -3
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

47. How to determine percent decrease?
When the function is not defined for all real numbers -; only a subset of the real numbers.
61 - 67
(amount of decrease/original price) x 100%
4096

48. (-1)^3 =
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
28. n = 8 - k = 2. n! / k!(n-k)!
A = I (1 + rt)
1

49. Formula for the area of a circle?
1/(x^y)
A = pi(r^2)
A set with a number of elements which can be counted.
1

50. 10^6 has how many zeroes?
72
52
6
When the function is not defined for all real numbers -; only a subset of the real numbers.