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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. Is 0 even or odd?
Diameter(Pi)
(base*height) / 2
Even
A circle centered at -2 - -2 with radius 3.

2. The perimeter of a square is 48 inches. The length of its diagonal is:
7 / 1000
12sqrt2
F(x-c)
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.

3. A number is divisible by 3 if ...
Undefined - because we can'T divide by 0.
The sum of its digits is divisible by 3.
61 - 67
180

4. Simplify (a^2 + b)^2 - (a^2 - b)^2
3
4a^2(b)
The interesection of A and B.
Undefined

5. What is the side length of an equilateral triangle with altitude 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...
Pi is the ratio of a circle'S circumference to its diameter.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
When the function is not defined for all real numbers -; only a subset of the real numbers.

6. When the 'a' in the parabola is negative...
G(x) = {x}
The curve opens downward and the vertex is the maximum point on the graph.
The objects within a set.
441000 = 1 10 10 10 21 * 21

7. What is the ratio of the sides of an isosceles right triangle?
The shortest arc between points A and B on a circle'S diameter.
1:1:sqrt2
An expression with just one term (-6x - 2a^2)
10

8. How many sides does a hexagon have?
6
No - only like radicals can be added.
(a + b)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

9. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
9 : 25
The union of A and B.

10. How to find the circumference of a circle which circumscribes a square?
1:1:sqrt2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
All numbers multiples of 1.
A set with a number of elements which can be counted.

11. (6sqrt3) x (2sqrt5) =
72
4a^2(b)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The point of intersection of the systems.

12. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
Cd
31 - 37
C = (pi)d

13. Legs: 3 - 4. Hypotenuse?
All numbers multiples of 1.
5
55%
9 : 25

14. What is the formula for compounded interest?
1/a^6
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.
A reflection about the axis.
3sqrt4

15. 5/6 in percent?
83.333%
The curve opens downward and the vertex is the maximum point on the graph.
18
Move the decimal point to the right x places

16. 1/2 divided by 3/7 is the same as
1
1/2 times 7/3
12.5%
6 : 1 : 2

17. a^2 + 2ab + b^2
Its divisible by 2 and by 3.
The overlapping sections.
18
(a + b)^2

18. What is a tangent?
1
Cd
55%
A tangent is a line that only touches one point on the circumference of a circle.

19. What is the slope of a vertical line?

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20. (12sqrt15) / (2sqrt5) =
G(x) = {x}
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1.7
The sum of digits is divisible by 9.

21. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
C = (pi)d

22. What is the name of set with a number of elements which cannot be counted?
An infinite set.
4725
$3 -500 in the 9% and $2 -500 in the 7%.
18

23. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A reflection about the axis.
6 : 1 : 2
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...
x^(6-3) = x^3

24. 10^6 has how many zeroes?
Move the decimal point to the right x places
x(x - y + 1)
6
The two xes after factoring.

25. Which is greater? 200x^295 or 10x^294?
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...
Pi is the ratio of a circle'S circumference to its diameter.
The set of elements which can be found in either A or B.
Relationship cannot be determined (what if x is negative?)

26. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Sector area = (n/360) X (pi)r^2
48
The direction of the inequality is reversed.
Cd

27. What is the 'Range' of a function?
The set of output values for a function.
Its last two digits are divisible by 4.
Two angles whose sum is 90.
(a + b)^2

28. When the 'a' in a parabola is positive....
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The curve opens upward and the vertex is the minimal point on the graph.
A circle centered on the origin with radius 8.
N! / (k!)(n-k)!

29. The larger the absolute value of the slope...
The third side is greater than the difference and less than the sum.
N! / (k!)(n-k)!
Factors are few - multiples are many.
The steeper the slope.

30. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
1 & 37/132
83.333%
Area of the base X height = (pi)hr^2

31. What are the smallest three prime numbers greater than 65?
8
x^(6-3) = x^3
67 - 71 - 73
Members or elements

32. 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?
1
Ax^2 + bx + c where a -b and c are constants and a /=0
413.03 / 10^4 (move the decimal point 4 places to the left)
75:11

33. A number is divisible by 6 if...
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
41 - 43 - 47
7 / 1000
Its divisible by 2 and by 3.

34. What are the real numbers?
A = pi(r^2)
The direction of the inequality is reversed.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
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)

35. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
0
A reflection about the origin.
48
(amount of decrease/original price) x 100%

36. What is the intersection of A and B?
The set of elements found in both A and B.
... the square of the ratios of the corresponding sides.
A subset.
37.5%

37. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
The direction of the inequality is reversed.
2^9 / 2 = 256
2 & 3/7

38. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
16.6666%
87.5%
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
70

39. Legs 6 - 8. Hypotenuse?
2sqrt6
Even
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
10

40. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
II
Sqrt 12
When the function is not defined for all real numbers -; only a subset of the real numbers.

41. What is a parabola?
Angle/360 x (pi)r^2
Ax^2 + bx + c where a -b and c are constants and a /=0
1.0843 X 10^11
N! / (n-k)!

42. Pi is a ratio of what to what?

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43. What percent of 40 is 22?
55%
IV
The steeper the slope.
Yes. [i.e. f(x) = x^2 - 1

44. Formula for the area of a circle?
4:5
The set of input values for a function.
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.
A = pi(r^2)

45. What is a piecewise equation?
Indeterminable.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
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%

46. What is a subset?
4096
Pi is the ratio of a circle'S circumference to its diameter.
... the square of the ratios of the corresponding sides.
A grouping of the members within a set based on a shared characteristic.

47. 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))?
Two equal sides and two equal angles.
Angle/360 x (pi)r^2
1/(x^y)
20.5

48. What is the graph of f(x) shifted right c units or spaces?
27^(-4)
Yes - like radicals can be added/subtracted.
x^(4+7) = x^11
F(x-c)

49. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
1/(x^y)
Two angles whose sum is 180.
2^9 / 2 = 256
C = 2(pi)r

50. 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)!
83.333%
441000 = 1 10 10 10 21 * 21
From northeast - counterclockwise. I - II - III - IV