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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 slope of a vertical line?

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2. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
(a + b)^2
The overlapping sections.
70
G(x) = {x}

3. What is the maximum value for the function g(x) = (-2x^2) -1?
1/(x^y)
1
31 - 37
Factors are few - multiples are many.

4. x^2 = 9. What is the value of x?
9 & 6/7
3 - -3
28. n = 8 - k = 2. n! / k!(n-k)!
9 : 25

5. Whats the difference between factors and multiples?
Yes - like radicals can be added/subtracted.
12! / 5!7! = 792
Factors are few - multiples are many.
1.0843 X 10^11

6. What is the 'Solution' for a system of linear equations?
The set of elements which can be found in either A or B.
A = I (1 + rt)
Move the decimal point to the right x places
The point of intersection of the systems.

7. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
4a^2(b)
A chord is a line segment joining two points on a circle.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
90 degrees

8. What is a major arc?

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9. Simplify the expression [(b^2 - c^2) / (b - c)]
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(b + c)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Triangles with same measure and same side lengths.

10. What is the set of elements which can be found in either A or B?
48
62.5%
52
The union of A and B.

11. What is a finite set?
53 - 59
130pi
16.6666%
A set with a number of elements which can be counted.

12. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
F(x-c)
52
18

13. 7/8 in percent?
The set of elements which can be found in either A or B.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
87.5%
4a^2(b)

14. What is the absolute value function?
x^(4+7) = x^11
...multiply by 100.
G(x) = {x}
Even

15. 5/6 in percent?
67 - 71 - 73
37.5%
130pi
83.333%

16. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
67 - 71 - 73
A set with a number of elements which can be counted.
28. n = 8 - k = 2. n! / k!(n-k)!
II

17. The ratio of the areas of two similar polygons is ...
11 - 13 - 17 - 19
The set of elements which can be found in either A or B.
The sum of digits is divisible by 9.
... the square of the ratios of the corresponding sides.

18. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
13
$11 -448
The curve opens downward and the vertex is the maximum point on the graph.
(a + b)^2

19. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
3
An expression with just one term (-6x - 2a^2)
The steeper the slope.

20. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
I
4:5
An infinite set.

21. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
(amount of increase/original price) x 100%
When the function is not defined for all real numbers -; only a subset of the real numbers.
4096

22. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Angle/360 x 2(pi)r
12sqrt2
The set of input values for a function.

23. 4.809 X 10^7 =
4725
An arc is a portion of a circumference of a circle.
.0004809 X 10^11
3

24. (-1)^2 =
Diameter(Pi)
1
C = 2(pi)r
413.03 / 10^4 (move the decimal point 4 places to the left)

25. 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)?
y = (x + 5)/2
A tangent is a line that only touches one point on the circumference of a circle.
An angle which is supplementary to an interior angle.
III

26. What does the graph x^2 + y^2 = 64 look like?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A circle centered on the origin with radius 8.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
90 degrees

27. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
A reflection about the origin.
x(x - y + 1)
2sqrt6
IV

28. Can you add sqrt 3 and sqrt 5?
N! / (n-k)!
(b + c)
No - only like radicals can be added.
x^(4+7) = x^11

29. What is the 'domain' of a function?
The objects within a set.
The set of input values for a function.
Ax^2 + bx + c where a -b and c are constants and a /=0
An isosceles right triangle.

30. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
...multiply by 100.
1
A 30-60-90 triangle.
1

31. 0^0
A set with a number of elements which can be counted.
130pi
The overlapping sections.
Undefined

32. How many multiples does a given number have?
37.5%
Infinite.
4:5
1

33. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
28. n = 8 - k = 2. n! / k!(n-k)!
Infinite.
1 & 37/132

34. 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?
Diameter(Pi)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
N! / (n-k)!
An angle which is supplementary to an interior angle.

35. Length of an arc of a circle?
48
$3 -500 in the 9% and $2 -500 in the 7%.
Angle/360 x 2(pi)r
4:5

36. What are congruent triangles?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
An expression with just one term (-6x - 2a^2)
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.
Triangles with same measure and same side lengths.

37. sqrt 2(sqrt 6)=
An angle which is supplementary to an interior angle.
Sqrt 12
(base*height) / 2
I

38. 6w^2 - w - 15 = 0
The interesection of A and B.
Sqrt 12
(amount of decrease/original price) x 100%
3/2 - 5/3

39. x^4 + x^7 =
1/a^6
x^(4+7) = x^11
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
C = 2(pi)r

40. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
x^(2(4)) =x^8 = (x^4)^2
(amount of decrease/original price) x 100%
441000 = 1 10 10 10 21 * 21

41. What are the real numbers?
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)
(a - b)(a + b)
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)
(a + b)^2

42. What is a chord of a circle?
180
A chord is a line segment joining two points on a circle.
N! / (n-k)!
(p + q)/5

43. 1/2 divided by 3/7 is the same as
1 & 37/132
1/2 times 7/3
90 degrees
27^(-4)

44. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
1.7
2sqrt6
Two angles whose sum is 90.

45. 10^6 has how many zeroes?
6
1:sqrt3:2
1
The two xes after factoring.

46. Legs: 3 - 4. Hypotenuse?
1/2 times 7/3
5
The curve opens upward and the vertex is the minimal point on the graph.
A = I (1 + rt)

47. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
F(x-c)
... the square of the ratios of the corresponding sides.
3
2 & 3/7

48. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
The second graph is less steep.
(a - b)^2
500
A circle centered at -2 - -2 with radius 3.

49. What is the 'Solution' for a set of inequalities.
Indeterminable.
C = 2(pi)r
The overlapping sections.
130pi

50. 3/8 in percent?
61 - 67
37.5%
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...
A grouping of the members within a set based on a shared characteristic.