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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.
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. 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?
I
C = (pi)d
A = I (1 + rt)
75:11

2. What is the area of a regular hexagon with side 6?
.0004809 X 10^11
Two angles whose sum is 180.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
3

3. x^4 + x^7 =
The greatest value minus the smallest.
x^(4+7) = x^11
1
x(x - y + 1)

4. A number is divisible by 4 is...
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
1
Its last two digits are divisible by 4.

5. Formula of rectangle where l increases by 20% and w decreases by 20%
3sqrt4
x= (1.2)(.8)lw
$11 -448
1/a^6

6. Legs 5 - 12. Hypotenuse?
13pi / 2
9 & 6/7
13
11 - 13 - 17 - 19

7. What is a parabola?
All numbers multiples of 1.
Ax^2 + bx + c where a -b and c are constants and a /=0
1
A = I (1 + rt)

8. 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?
Part = Percent X Whole
1
52
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

9. What is the surface area of a cylinder with radius 5 and height 8?
The shortest arc between points A and B on a circle'S diameter.
G(x) = {x}
130pi
70

10. 40 < all primes<50
41 - 43 - 47
72
71 - 73 - 79
Undefined - because we can'T divide by 0.

11. What is a major arc?

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12. 60 < all primes <70
9 & 6/7
$11 -448
(p + q)/5
61 - 67

13. What are the real numbers?
G(x) = {x}
90
A circle centered on the origin with radius 8.
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)

14. 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?
62.5%
48
Undefined
11 - 13 - 17 - 19

15. How to determine percent increase?
(amount of increase/original price) x 100%
x= (1.2)(.8)lw
1/2 times 7/3
6

16. 25^(1/2) or sqrt. 25 =
5 OR -5
I
18
8

17. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
The two xes after factoring.
y = (x + 5)/2
61 - 67
(amount of increase/original price) x 100%

18. 0^0
Undefined
A tangent is a line that only touches one point on the circumference of a circle.
$3 -500 in the 9% and $2 -500 in the 7%.
Lies opposite the greater angle

19. Can the input value of a function have more than one output value (i.e. x: y - y1)?
The sum of digits is divisible by 9.
No - the input value has exactly one output.
The second graph is less steep.
11 - 13 - 17 - 19

20. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
1
12sqrt2
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

21. What is the graph of f(x) shifted right c units or spaces?
C = (pi)d
A set with no members - denoted by a circle with a diagonal through it.
y = (x + 5)/2
F(x-c)

22. 6w^2 - w - 15 = 0
Pi is the ratio of a circle'S circumference to its diameter.
3/2 - 5/3
x^(2(4)) =x^8 = (x^4)^2
1 & 37/132

23. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
The sum of digits is divisible by 9.
A reflection about the axis.
The greatest value minus the smallest.
Angle/360 x 2(pi)r

24. How to find the diagonal of a rectangular solid?
When the function is not defined for all real numbers -; only a subset of the real numbers.
y = 2x^2 - 3
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
y = (x + 5)/2

25. 7/8 in percent?
The point of intersection of the systems.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
70
87.5%

26. What is a tangent?
I
The steeper the slope.
Indeterminable.
A tangent is a line that only touches one point on the circumference of a circle.

27. 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)]?
The sum of digits is divisible by 9.
An expression with just one term (-6x - 2a^2)
True
The interesection of A and B.

28. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
I
The third side is greater than the difference and less than the sum.
90
71 - 73 - 79

29. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
A 30-60-90 triangle.
Part = Percent X Whole
Cd
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

30. Simplify (a^2 + b)^2 - (a^2 - b)^2
0
y = (x + 5)/2
4a^2(b)
x= (1.2)(.8)lw

31. Write 10 -843 X 10^7 in scientific notation
I
61 - 67
27^(-4)
1.0843 X 10^11

32. Can you subtract 3sqrt4 from sqrt4?
.0004809 X 10^11
Its last two digits are divisible by 4.
87.5%
Yes - like radicals can be added/subtracted.

33. (a^-1)/a^5
1/a^6
A circle centered on the origin with radius 8.
The set of elements which can be found in either A or B.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

34. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
2sqrt6
1
4:5
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. x^6 / x^3
(n-2) x 180
x^(6-3) = x^3
5 OR -5
72

36. Factor a^2 + 2ab + b^2
20.5
The two xes after factoring.
(a + b)^2
A set with no members - denoted by a circle with a diagonal through it.

37. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
3
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
When the function is not defined for all real numbers -; only a subset of the real numbers.

38. sqrt 2(sqrt 6)=
Its negative reciprocal. (-b/a)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
x^(2(4)) =x^8 = (x^4)^2
Sqrt 12

39. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
11 - 13 - 17 - 19
The interesection of A and B.
The direction of the inequality is reversed.

40. What is a finite set?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The set of elements found in both A and B.
1/(x^y)
A set with a number of elements which can be counted.

41. Order of quadrants:
8
Sqrt 12
Triangles with same measure and same side lengths.
From northeast - counterclockwise. I - II - III - IV

42. 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?
The shortest arc between points A and B on a circle'S diameter.
I
A set with no members - denoted by a circle with a diagonal through it.
10! / (10-3)! = 720

43. What is the formula for computing simple interest?
83.333%
A = I (1 + rt)
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.
The union of A and B.

44. Convert 0.7% to a fraction.
7 / 1000
N! / (k!)(n-k)!
1.7
5

45. Simplify the expression [(b^2 - c^2) / (b - c)]
18
(b + c)
Pi is the ratio of a circle'S circumference to its diameter.
The set of elements found in both A and B.

46. What is the name for a grouping of the members within a set based on a shared characteristic?
Indeterminable.
A grouping of the members within a set based on a shared characteristic.
A subset.
F(x) - c

47. What is an isoceles triangle?
Two equal sides and two equal angles.
288 (8 9 4)
A set with a number of elements which can be counted.
IV

48. Which is greater? 27^(-4) or 9^(-8)
$3 -500 in the 9% and $2 -500 in the 7%.
The steeper the slope.
y = (x + 5)/2
27^(-4)

49. 10<all primes<20
III
x^(2(4)) =x^8 = (x^4)^2
11 - 13 - 17 - 19
(amount of increase/original price) x 100%

50. 30< all primes<40
1
31 - 37
x^(6-3) = x^3
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

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GRE Math: Common Errors

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