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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 the ratio of the sides of a 30-60-90 triangle?
A reflection about the axis.
1:sqrt3:2
The set of input values for a function.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

2. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
1.7
(base*height) / 2
N! / (k!)(n-k)!
130pi

3. What is a set with no members called?
The union of A and B.
37.5%
N! / (n-k)!
The empty set - denoted by a circle with a diagonal through it.

4. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
90
9 : 25
Relationship cannot be determined (what if x is negative?)
Ax^2 + bx + c where a -b and c are constants and a /=0

5. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
A central angle is an angle formed by 2 radii.
28. n = 8 - k = 2. n! / k!(n-k)!
1:sqrt3:2
70

6. What is a central angle?
1
F(x) + c
A central angle is an angle formed by 2 radii.
Two equal sides and two equal angles.

7. 10^6 has how many zeroes?
Its last two digits are divisible by 4.
6
4:5
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

8. Formula to find a circle'S circumference from its radius?
G(x) = {x}
1 & 37/132
The overlapping sections.
C = 2(pi)r

9. What is the percent formula?
N! / (k!)(n-k)!
Part = Percent X Whole
Angle/360 x 2(pi)r
A 30-60-90 triangle.

10. 20<all primes<30
23 - 29
The second graph is less steep.
Its negative reciprocal. (-b/a)
$11 -448

11. What is the slope of a vertical line?

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12. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
A reflection about the axis.
From northeast - counterclockwise. I - II - III - IV
(a + b)^2

13. Simplify the expression (p^2 - q^2)/ -5(q - p)
(p + q)/5
The empty set - denoted by a circle with a diagonal through it.
16.6666%
0

14. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
9 & 6/7
(a + b)^2
13pi / 2
1/2 times 7/3

15. What is the 'Range' of a series of numbers?
F(x + c)
The greatest value minus the smallest.
x(x - y + 1)
(a - b)^2

16. 1/2 divided by 3/7 is the same as
1/2 times 7/3
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
2 & 3/7
Its divisible by 2 and by 3.

17. 1/8 in percent?
(amount of decrease/original price) x 100%
3
12.5%
0

18. What is the empty set?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The set of elements found in both A and B.
Even
A set with no members - denoted by a circle with a diagonal through it.

19. Define a 'Term' -
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)
Two angles whose sum is 180.
0

20. Whats the difference between factors and multiples?
An arc is a portion of a circumference of a circle.
Factors are few - multiples are many.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
90

21. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
Two equal sides and two equal angles.
N! / (k!)(n-k)!
Infinite.
8

22. What is a piecewise equation?
2(pi)r^2 + 2(pi)rh
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
The set of input values for a function.
7 / 1000

23. 8.84 / 5.2
Two angles whose sum is 90.
6
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1.7

24. 6w^2 - w - 15 = 0
2^9 / 2 = 256
3/2 - 5/3
5
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

25. What is the 'Range' of a function?
87.5%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The set of output values for a function.
1

26. Formula of rectangle where l increases by 20% and w decreases by 20%
1/a^6
x= (1.2)(.8)lw
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Arc length = (n/360) x pi(2r) where n is the number of degrees.

27. What is the 'Solution' for a set of inequalities.
N! / (k!)(n-k)!
(a - b)(a + b)
When the function is not defined for all real numbers -; only a subset of the real numbers.
The overlapping sections.

28. What is the name for a grouping of the members within a set based on a shared characteristic?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A subset.
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)
4725

29. What is the set of elements which can be found in either A or B?
The union of A and B.
1/(x^y)
Area of the base X height = (pi)hr^2
75:11

30. A number is divisible by 9 if...
A reflection about the axis.
The sum of digits is divisible by 9.
2 & 3/7
x(x - y + 1)

31. Surface area for a cylinder?
A set with a number of elements which can be counted.
Pi is the ratio of a circle'S circumference to its diameter.
The sum of digits is divisible by 9.
2(pi)r^2 + 2(pi)rh

32. What is the measure of an exterior angle of a regular pentagon?
When the function is not defined for all real numbers -; only a subset of the real numbers.
The set of output values for a function.
Diameter(Pi)
72

33. Formula for the area of a sector of a circle?
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
Its last two digits are divisible by 4.
Sector area = (n/360) X (pi)r^2
An expression with just one term (-6x - 2a^2)

34. What is the order of operations?
... the square of the ratios of the corresponding sides.
87.5%
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
All numbers multiples of 1.

35. Write 10 -843 X 10^7 in scientific notation
13
1.0843 X 10^11
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
41 - 43 - 47

36. What is the intersection of A and B?
An angle which is supplementary to an interior angle.
The set of elements found in both A and B.
The interesection of A and B.
20.5

37. What is an exterior angle?
An angle which is supplementary to an interior angle.
The union of A and B.
y = 2x^2 - 3
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)

38. Evaluate (4^3)^2
4096
6
Sqrt 12
9 : 25

39. 50 < all primes< 60
1
3
53 - 59
Yes. [i.e. f(x) = x^2 - 1

40. Is 0 even or odd?
Even
2sqrt6
31 - 37
87.5%

41. Can you subtract 3sqrt4 from sqrt4?
13
Factors are few - multiples are many.
Yes - like radicals can be added/subtracted.
(a - b)(a + b)

42. x^4 + x^7 =
10! / 3!(10-3)! = 120
6 : 1 : 2
x^(4+7) = x^11
A tangent is a line that only touches one point on the circumference of a circle.

43. x^(-y)=
1/(x^y)
37.5%
83.333%
A reflection about the axis.

44. How many multiples does a given number have?
The sum of digits is divisible by 9.
Infinite.
6
1/(x^y)

45. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
The set of output values for a function.
All numbers multiples of 1.
10! / 3!(10-3)! = 120
48

46. Formula to find a circle'S circumference from its diameter?
A reflection about the origin.
C = (pi)d
180 degrees
1

47. To convert a percent to a fraction....
23 - 29
6
The set of elements which can be found in either A or B.
Divide by 100.

48. 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 empty set - denoted by a circle with a diagonal through it.
(base*height) / 2
1.0843 X 10^11

49. What is the 'Restricted domain of a function'?
N! / (k!)(n-k)!
When the function is not defined for all real numbers -; only a subset of the real numbers.
The overlapping sections.
N! / (n-k)!

50. Which is greater? 64^5 or 16^8
4725
2^9 / 2 = 256
1.0843 X 10^11
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16