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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. What does the graph x^2 + y^2 = 64 look like?
1/2 times 7/3
A circle centered on the origin with radius 8.
Pi is the ratio of a circle'S circumference to its diameter.
1

2. Describe the relationship between 3x^2 and 3(x - 1)^2
1
28. n = 8 - k = 2. n! / k!(n-k)!
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The overlapping sections.

3. What is the intersection of A and B?
The shortest arc between points A and B on a circle'S diameter.
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)
The set of elements found in both A and B.
2^9 / 2 = 256

4. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
37.5%
12! / 5!7! = 792
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

5. What does scientific notation mean?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The union of A and B.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
True

6. What is a set with no members called?
3sqrt4
(amount of increase/original price) x 100%
The empty set - denoted by a circle with a diagonal through it.
Indeterminable.

7. Evaluate 4/11 + 11/12
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
1 & 37/132
An isosceles right triangle.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

8. Which quandrant is the lower right hand?
IV
N! / (k!)(n-k)!
1 & 37/132
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

9. What is the 'Solution' for a system of linear equations?
A circle centered at -2 - -2 with radius 3.
The point of intersection of the systems.
70
61 - 67

10. 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
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
75:11
The curve opens upward and the vertex is the minimal point on the graph.

11. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
A = pi(r^2)
(amount of increase/original price) x 100%
11 - 13 - 17 - 19
4:5

12. Simplify the expression [(b^2 - c^2) / (b - c)]
F(x + c)
(b + c)
7 / 1000
12.5%

13. Simplify 9^(1/2) X 4^3 X 2^(-6)?
Move the decimal point to the right x places
A reflection about the origin.
A = pi(r^2)
3

14. What is the ratio of the sides of a 30-60-90 triangle?
Infinite.
Factors are few - multiples are many.
52
1:sqrt3:2

15. What are congruent triangles?
Its last two digits are divisible by 4.
Diameter(Pi)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Triangles with same measure and same side lengths.

16. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
The curve opens downward and the vertex is the maximum point on the graph.
413.03 / 10^4 (move the decimal point 4 places to the left)
Sector area = (n/360) X (pi)r^2

17. 2sqrt4 + sqrt4 =
3sqrt4
62.5%
3
87.5%

18. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
55%
True
53 - 59
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)

19. How to find the circumference of a circle which circumscribes a square?
(b + c)
The direction of the inequality is reversed.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
N! / (n-k)!

20. What is the side length of an equilateral triangle with altitude 6?
2(pi)r^2 + 2(pi)rh
18
An isosceles right triangle.
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...

21. a^2 + 2ab + b^2
... the square of the ratios of the corresponding sides.
1
Two equal sides and two equal angles.
(a + b)^2

22. Can you simplify sqrt72?
6 : 1 : 2
An expression with just one term (-6x - 2a^2)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1

23. 10^6 has how many zeroes?
(amount of increase/original price) x 100%
A = I (1 + rt)
6
A chord is a line segment joining two points on a circle.

24. Whats the difference between factors and multiples?
(b + c)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Factors are few - multiples are many.
The two xes after factoring.

25. The objects in a set are called two names:
The point of intersection of the systems.
The interesection of A and B.
Members or elements
Angle/360 x 2(pi)r

26. What is the absolute value function?
9 & 6/7
6
83.333%
G(x) = {x}

27. What is the 'Solution' for a set of inequalities.
Two angles whose sum is 180.
The overlapping sections.
37.5%
N! / (k!)(n-k)!

28. What are the real numbers?
1 & 37/132
90
Ax^2 + bx + c where a -b and c are constants and a /=0
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)

29. Factor x^2 - xy + x.
x(x - y + 1)
10
An arc is a portion of a circumference of a circle.
A reflection about the axis.

30. 5/8 in percent?
Members or elements
72
62.5%
1.7

31. How to find the area of a sector?
Angle/360 x (pi)r^2
y = (x + 5)/2
13pi / 2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

32. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
The empty set - denoted by a circle with a diagonal through it.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
4725
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

33. 5/6 in percent?
83.333%
6
1.0843 X 10^11
16.6666%

34. 25^(1/2) or sqrt. 25 =
(a + b)^2
90
Arc length = (n/360) x pi(2r) where n is the number of degrees.
5 OR -5

35. What are the integers?
1
67 - 71 - 73
(a + b)^2
All numbers multiples of 1.

36. When the 'a' in a parabola is positive....
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)
The second graph is less steep.
The curve opens upward and the vertex is the minimal point on the graph.
75:11

37. Which quadrant is the upper right hand?
(p + q)/5
13
4a^2(b)
I

38. What is the maximum value for the function g(x) = (-2x^2) -1?
Part = Percent X Whole
1
N! / (n-k)!
The steeper the slope.

39. 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))?
No - the input value has exactly one output.
90pi
20.5
Angle/360 x 2(pi)r

40. What is the 'domain' of a function?
The set of input values for a function.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
6
6

41. Circumference of a circle?
Diameter(Pi)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
III

42. 413.03 x 10^(-4) =
x^(6-3) = x^3
413.03 / 10^4 (move the decimal point 4 places to the left)
70
3

43. What are the roots of the quadrinomial x^2 + 2x + 1?
(p + q)/5
The two xes after factoring.
13pi / 2
13

44. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Angle/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
Cd
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

45. What is the formula for compounded interest?
IV
23 - 29
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.
20.5

46. The ratio of the areas of two similar polygons is ...
1
48
... the square of the ratios of the corresponding sides.
11 - 13 - 17 - 19

47. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Two angles whose sum is 90.
12sqrt2
70
C = (pi)d

48. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
No - only like radicals can be added.
An isosceles right triangle.
The second graph is less steep.
N! / (k!)(n-k)!

49. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
11 - 13 - 17 - 19
F(x) - c
Area of the base X height = (pi)hr^2
90

50. Legs: 3 - 4. Hypotenuse?
27^(-4)
5
Undefined
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

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GRE Math: Common Errors

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