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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. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
1.0843 X 10^11
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A 30-60-90 triangle.

2. The objects in a set are called two names:
A reflection about the axis.
N! / (n-k)!
Members or elements
The point of intersection of the systems.

3. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
x= (1.2)(.8)lw
72
6 : 1 : 2

4. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
y = 2x^2 - 3
4725
When the function is not defined for all real numbers -; only a subset of the real numbers.
0

5. The perimeter of a square is 48 inches. The length of its diagonal is:
A = I (1 + rt)
12sqrt2
288 (8 9 4)
90

6. Evaluate 4/11 + 11/12
1 & 37/132
4:5
6 : 1 : 2
The curve opens downward and the vertex is the maximum point on the graph.

7. 6w^2 - w - 15 = 0
Even
3/2 - 5/3
48
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

8. Area of a triangle?
C = 2(pi)r
(base*height) / 2
A set with a number of elements which can be counted.
Pi is the ratio of a circle'S circumference to its diameter.

9. Formula of rectangle where l increases by 20% and w decreases by 20%
Arc length = (n/360) x pi(2r) where n is the number of degrees.
72
x= (1.2)(.8)lw
The steeper the slope.

10. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
Part = Percent X Whole
$11 -448
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The objects within a set.

11. What is the intersection of A and B?
48
4a^2(b)
The set of elements found in both A and B.
1/a^6

12. 1/6 in percent?
Cd
N! / (n-k)!
16.6666%
x= (1.2)(.8)lw

13. What are the members or elements of a set?
True
A subset.
The objects within a set.
F(x) - c

14. 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?
N! / (n-k)!
The direction of the inequality is reversed.
8
288 (8 9 4)

15. What is the order of operations?
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)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1.7
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

16. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
10
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

17. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
87.5%
Part = Percent X Whole
2 & 3/7
The set of input values for a function.

18. What is the name for a grouping of the members within a set based on a shared characteristic?
(a - b)(a + b)
A subset.
Two equal sides and two equal angles.
Undefined

19. Legs: 3 - 4. Hypotenuse?
9 & 6/7
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)
5
12.5%

20. Volume for a cylinder?
.0004809 X 10^11
A circle centered at -2 - -2 with radius 3.
The greatest value minus the smallest.
Area of the base X height = (pi)hr^2

21. 5/8 in percent?
3 - -3
62.5%
F(x) + c
1

22. What is a minor arc?

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23. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
Members or elements
(a + b)^2
1
Two equal sides and two equal angles.

24. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
C = (pi)d
The longest arc between points A and B on a circle'S diameter.
A reflection about the axis.
(a - b)^2

25. Which quandrant is the lower right hand?
53 - 59
0
3
IV

26. A number is divisible by 3 if ...
(base*height) / 2
The sum of its digits is divisible by 3.
No - only like radicals can be added.
A circle centered at -2 - -2 with radius 3.

27. 5x^2 - 35x -55 = 0
1
2.592 kg
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
180

28. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
55%
10
y = 2x^2 - 3
180

29. 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?
An isosceles right triangle.
Sector area = (n/360) X (pi)r^2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
75:11

30. 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?
1:sqrt3:2
(a - b)(a + b)
10! / (10-3)! = 720
2sqrt6

31. Is 0 even or odd?
The second graph is less steep.
31 - 37
Even
Its negative reciprocal. (-b/a)

32. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
1/2 times 7/3
A reflection about the origin.
IV
4.25 - 6 - 22

33. Order of quadrants:
x^(2(4)) =x^8 = (x^4)^2
From northeast - counterclockwise. I - II - III - IV
Cd
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

34. What is the formula for compounded interest?
1/(x^y)
The direction of the inequality is reversed.
(a - b)(a + b)
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.

35. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
The set of input values for a function.
27^(-4)
28. n = 8 - k = 2. n! / k!(n-k)!
4a^2(b)

36. 50 < all primes< 60
...multiply by 100.
Area of the base X height = (pi)hr^2
72
53 - 59

37. sqrt 2(sqrt 6)=
Pi is the ratio of a circle'S circumference to its diameter.
Sqrt 12
An infinite set.
288 (8 9 4)

38. What is the slope of a vertical line?

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39. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
The interesection of A and B.
.0004809 X 10^11
A reflection about the origin.
2 & 3/7

40. What is a tangent?
An expression with just one term (-6x - 2a^2)
True
The set of input values for a function.
A tangent is a line that only touches one point on the circumference of a circle.

41. 10<all primes<20
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)
11 - 13 - 17 - 19
10! / (10-3)! = 720
12sqrt2

42. x^(-y)=
(b + c)
37.5%
1/(x^y)
6

43. Surface area for a cylinder?
130pi
2(pi)r^2 + 2(pi)rh
Arc length = (n/360) x pi(2r) where n is the number of degrees.
F(x-c)

44. What is the set of elements which can be found in either A or B?
The direction of the inequality is reversed.
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...
The union of A and B.
5 OR -5

45. What are the integers?
Even
All numbers multiples of 1.
3sqrt4
2.592 kg

46. What is a finite set?
The set of output values for a function.
2 & 3/7
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A set with a number of elements which can be counted.

47. The larger the absolute value of the slope...
A subset.
1
(a + b)^2
The steeper the slope.

48. Which is greater? 64^5 or 16^8
Part = Percent X Whole
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
3/2 - 5/3

49. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The overlapping sections.
87.5%

50. Which quadrant is the lower left hand?
Undefined - because we can'T divide by 0.
75:11
III
C = (pi)d