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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. 1/2 divided by 3/7 is the same as
0
(amount of decrease/original price) x 100%
1/(x^y)
1/2 times 7/3

2. How to determine percent decrease?
1
The set of output values for a function.
1/(x^y)
(amount of decrease/original price) x 100%

3. Pi is a ratio of what to what?

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4. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
2(pi)r^2 + 2(pi)rh
6 : 1 : 2
C = (pi)d
4:5

5. What is the slope of a horizontal line?
0
413.03 / 10^4 (move the decimal point 4 places to the left)
The shortest arc between points A and B on a circle'S diameter.
The two xes after factoring.

6. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Diameter(Pi)
2 & 3/7
Factors are few - multiples are many.
1/2 times 7/3

7. 1/6 in percent?
A tangent is a line that only touches one point on the circumference of a circle.
The union of A and B.
16.6666%
70

8. Simplify the expression (p^2 - q^2)/ -5(q - p)
Two angles whose sum is 90.
(p + q)/5
1/2 times 7/3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

9. 4.809 X 10^7 =
2 & 3/7
.0004809 X 10^11
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1.0843 X 10^11

10. How many 3-digit positive integers are even and do not contain the digit 4?
180
288 (8 9 4)
(a - b)^2
1:1:sqrt2

11. Define a 'Term' -
1/a^6
A set with a number of elements which can be counted.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
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)

12. 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))?
20.5
70
0
F(x + c)

13. How to find the diagonal of a rectangular solid?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Divide by 100.
9 & 6/7
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

14. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
x= (1.2)(.8)lw
4.25 - 6 - 22
90

15. a^2 - 2ab + b^2
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)
2^9 / 2 = 256
(a - b)^2

16. 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
Ax^2 + bx + c where a -b and c are constants and a /=0
N! / (k!)(n-k)!
Its divisible by 2 and by 3.

17. 40 < all primes<50
41 - 43 - 47
Two angles whose sum is 180.
6 : 1 : 2
27^(-4)

18. What is the ratio of the sides of an isosceles right triangle?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1:1:sqrt2
Area of the base X height = (pi)hr^2

19. To convert a percent to a fraction....
Part = Percent X Whole
130pi
Divide by 100.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

20. What is the empty set?
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.
F(x + c)
A set with no members - denoted by a circle with a diagonal through it.

21. 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.
Lies opposite the greater angle
A subset.

22. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
x^(2(4)) =x^8 = (x^4)^2
A circle centered on the origin with radius 8.
(amount of decrease/original price) x 100%

23. Which quandrant is the lower right hand?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
9 : 25
.0004809 X 10^11
IV

24. What is a parabola?
The steeper the slope.
55%
An expression with just one term (-6x - 2a^2)
Ax^2 + bx + c where a -b and c are constants and a /=0

25. What is the 'Restricted domain of a function'?
(base*height) / 2
Cd
5
When the function is not defined for all real numbers -; only a subset of the real numbers.

26. Factor x^2 - xy + x.
87.5%
90 degrees
x(x - y + 1)
The two xes after factoring.

27. The perimeter of a square is 48 inches. The length of its diagonal is:
The objects within a set.
12sqrt2
Area of the base X height = (pi)hr^2
No - the input value has exactly one output.

28. What is a piecewise equation?
(a + b)^2
Even
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Relationship cannot be determined (what if x is negative?)

29. (6sqrt3) x (2sqrt5) =
27^(-4)
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
When the function is not defined for all real numbers -; only a subset of the real numbers.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

30. What is the percent formula?
Part = Percent X Whole
(n-2) x 180
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Undefined

31. 5/8 in percent?
55%
62.5%
III
1.7

32. 5/6 in percent?
83.333%
x^(6-3) = x^3
Angle/360 x (pi)r^2
71 - 73 - 79

33. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
6
Two equal sides and two equal angles.
Its negative reciprocal. (-b/a)
2

34. What is the set of elements found in both A and B?
The interesection of A and B.
0
The shortest arc between points A and B on a circle'S diameter.
Factors are few - multiples are many.

35. 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?
All numbers multiples of 1.
An isosceles right triangle.
N! / (n-k)!
11 - 13 - 17 - 19

36. Legs 5 - 12. Hypotenuse?
13
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 union of A and B.
10

37. 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)]?
7 / 1000
4096
16.6666%
True

38. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
.0004809 X 10^11
413.03 / 10^4 (move the decimal point 4 places to the left)
Arc length = (n/360) x pi(2r) where n is the number of degrees.

39. Which quadrant is the upper right hand?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1
The sum of digits is divisible by 9.
I

40. What is the ratio of the sides of a 30-60-90 triangle?
Angle/360 x (pi)r^2
From northeast - counterclockwise. I - II - III - IV
1
1:sqrt3:2

41. (x^2)^4
10! / (10-3)! = 720
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
x^(2(4)) =x^8 = (x^4)^2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

42. To convert a decimal to a percent...
70
The set of elements which can be found in either A or B.
...multiply by 100.
10! / 3!(10-3)! = 120

43. The larger the absolute value of the slope...
A = I (1 + rt)
The steeper the slope.
5
A = pi(r^2)

44. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
72
8
Diameter(Pi)
F(x) - c

45. 30< all primes<40
23 - 29
The set of elements which can be found in either A or B.
1
31 - 37

46. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
4096
The set of elements which can be found in either A or B.
The overlapping sections.

47. What is a tangent?
A reflection about the origin.
A tangent is a line that only touches one point on the circumference of a circle.
x(x - y + 1)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

48. Convert 0.7% to a fraction.
1
7 / 1000
All numbers multiples of 1.
The set of elements which can be found in either A or B.

49. a^2 - b^2
72
A set with a number of elements which can be counted.
(a - b)(a + b)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

50. 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?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
70
75:11
Its divisible by 2 and by 3.