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GRE Math: Common Errors

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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. Which quadrant is the upper left hand?
Members or elements
The greatest value minus the smallest.
All numbers multiples of 1.
II

2. What is a subset?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
500
A grouping of the members within a set based on a shared characteristic.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

3. What is the surface area of a cylinder with radius 5 and height 8?
67 - 71 - 73
130pi
The interesection of A and B.
3

4. Define a 'monomial'
The longest arc between points A and B on a circle'S diameter.
Part = Percent X Whole
Indeterminable.
An expression with just one term (-6x - 2a^2)

5. What is the formula for compounded interest?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Angle/360 x 2(pi)r
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.
4096

6. P and r are factors of 100. What is greater - pr or 100?
6
Angle/360 x (pi)r^2
20.5
Indeterminable.

7. 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?
62.5%
(b + c)
12sqrt2
N! / (n-k)!

8. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Relationship cannot be determined (what if x is negative?)
1
G(x) = {x}
The direction of the inequality is reversed.

9. x^(-y)=
1/(x^y)
C = 2(pi)r
8
A set with a number of elements which can be counted.

10. x^2 = 9. What is the value of x?
3 - -3
An infinite set.
The overlapping sections.
Angle/360 x 2(pi)r

11. Evaluate 3& 2/7 / 1/3
A = pi(r^2)
(base*height) / 2
37.5%
9 & 6/7

12. 1/8 in percent?
52
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
From northeast - counterclockwise. I - II - III - IV
12.5%

13. 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
Yes. [i.e. f(x) = x^2 - 1
0
90pi

14. Pi is a ratio of what to what?

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15. Simplify the expression [(b^2 - c^2) / (b - c)]
Pi is the ratio of a circle'S circumference to its diameter.
... the square of the ratios of the corresponding sides.
Divide by 100.
(b + c)

16. 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?
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
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...
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The curve opens upward and the vertex is the minimal point on the graph.

17. 10^6 has how many zeroes?
The second graph is less steep.
Triangles with same measure and same side lengths.
6
10! / (10-3)! = 720

18. What number between 70 & 75 - inclusive - has the greatest number of factors?
All numbers multiples of 1.
x= (1.2)(.8)lw
72
9 & 6/7

19. 5x^2 - 35x -55 = 0
y = (x + 5)/2
2.592 kg
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The curve opens upward and the vertex is the minimal point on the graph.

20. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
12sqrt2
4:5
(b + c)

21. Can the output value of a function have more than one input value?
II
Yes. [i.e. f(x) = x^2 - 1
(amount of increase/original price) x 100%
The third side is greater than the difference and less than the sum.

22. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A reflection about the origin.
.0004809 X 10^11

23. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
A set with a number of elements which can be counted.
Move the decimal point to the right x places
75:11
87.5%

24. Simplify the expression (p^2 - q^2)/ -5(q - p)
The two xes after factoring.
Diameter(Pi)
A set with a number of elements which can be counted.
(p + q)/5

25. What is the 'Range' of a function?
1/(x^y)
4.25 - 6 - 22
A grouping of the members within a set based on a shared characteristic.
The set of output values for a function.

26. What are 'Supplementary angles?'
Two angles whose sum is 180.
83.333%
3sqrt4
Undefined

27. Evaluate 4/11 + 11/12
x= (1.2)(.8)lw
No - the input value has exactly one output.
1 & 37/132
Undefined

28. What is a finite set?
x^(6-3) = x^3
A central angle is an angle formed by 2 radii.
A set with a number of elements which can be counted.
C = (pi)d

29. a^2 - b^2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The interesection of A and B.
(a - b)(a + b)
4:5

30. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The steeper the slope.
53 - 59

31. What is the graph of f(x) shifted right c units or spaces?
20.5
C = 2(pi)r
70
F(x-c)

32. Formula for the area of a circle?
Factors are few - multiples are many.
An expression with just one term (-6x - 2a^2)
A = pi(r^2)
...multiply by 100.

33. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Area of the base X height = (pi)hr^2
Divide by 100.
4:5
The two xes after factoring.

34. Define an 'expression'.
90pi
71 - 73 - 79
11 - 13 - 17 - 19
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)

35. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
II
A 30-60-90 triangle.
Divide by 100.
An isosceles right triangle.

36. What is the 'Solution' for a system of linear equations?
$3 -500 in the 9% and $2 -500 in the 7%.
Its divisible by 2 and by 3.
The point of intersection of the systems.
Two angles whose sum is 90.

37. What is an arc of a circle?
87.5%
Sqrt 12
An arc is a portion of a circumference of a circle.
The curve opens downward and the vertex is the maximum point on the graph.

38. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
The sum of its digits is divisible by 3.
1
2
16.6666%

39. 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.
(base*height) / 2
90 degrees
F(x-c)
1

40. Formula to find a circle'S circumference from its diameter?
IV
Diameter(Pi)
C = (pi)d
71 - 73 - 79

41. What is a chord of a circle?
(base*height) / 2
1/a^6
An angle which is supplementary to an interior angle.
A chord is a line segment joining two points on a circle.

42. Factor x^2 - xy + x.
III
The set of elements found in both A and B.
$11 -448
x(x - y + 1)

43. What percent of 40 is 22?
The set of elements which can be found in either A or B.
The curve opens downward and the vertex is the maximum point on the graph.
55%
71 - 73 - 79

44. 25^(1/2) or sqrt. 25 =
7 / 1000
5 OR -5
1
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

45. 8.84 / 5.2
27^(-4)
1.7
75:11
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

46. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
28. n = 8 - k = 2. n! / k!(n-k)!
2sqrt6
Divide by 100.
C = 2(pi)r

47. Length of an arc of a circle?
4a^2(b)
.0004809 X 10^11
Angle/360 x 2(pi)r
12sqrt2

48. What is the order of operations?
72
67 - 71 - 73
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
C = 2(pi)r

49. When the 'a' in a parabola is positive....
Triangles with same measure and same side lengths.
10
The curve opens upward and the vertex is the minimal point on the graph.
Move the decimal point to the right x places

50. Order of quadrants:
An angle which is supplementary to an interior angle.
From northeast - counterclockwise. I - II - III - IV
(p + q)/5
... the square of the ratios of the corresponding sides.

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GRE Math: Common Errors

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