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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. x^6 / x^3
x^(6-3) = x^3
55%
28. n = 8 - k = 2. n! / k!(n-k)!
5 OR -5

2. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Triangles with same measure and same side lengths.
x^(6-3) = x^3
70
2sqrt6

3. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
Two equal sides and two equal angles.
A reflection about the origin.
9 & 6/7
1/2 times 7/3

4. 10<all primes<20
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
11 - 13 - 17 - 19
500
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)

5. 413.03 x 10^(-4) =
Relationship cannot be determined (what if x is negative?)
413.03 / 10^4 (move the decimal point 4 places to the left)
4725
3

6. What is the graph of f(x) shifted downward c units or spaces?
441000 = 1 10 10 10 21 * 21
Two angles whose sum is 90.
F(x) - c
(a - b)(a + b)

7. What are 'Supplementary angles?'
Cd
10! / 3!(10-3)! = 120
Undefined - because we can'T divide by 0.
Two angles whose sum is 180.

8. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
Move the decimal point to the right x places
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
(p + q)/5
Sqrt 12

9. What is an isoceles triangle?
6
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Two equal sides and two equal angles.
48

10. Which quadrant is the upper left hand?
II
1
An infinite set.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

11. Describe the relationship between 3x^2 and 3(x - 1)^2
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
6
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The steeper the slope.

12. What is the 'union' of A and B?
Part = Percent X Whole
The set of elements which can be found in either A or B.
From northeast - counterclockwise. I - II - III - IV
F(x) + c

13. Describe the relationship between the graphs of x^2 and (1/2)x^2
3sqrt4
III
The empty set - denoted by a circle with a diagonal through it.
The second graph is less steep.

14. 6w^2 - w - 15 = 0
Cd
The sum of digits is divisible by 9.
3/2 - 5/3
71 - 73 - 79

15. 0^0
1
288 (8 9 4)
Undefined
8

16. What is the set of elements found in both A and B?
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
90pi
12.5%
The interesection of A and B.

17. What are the members or elements of a set?
A grouping of the members within a set based on a shared characteristic.
A 30-60-90 triangle.
2 & 3/7
The objects within a set.

18. Legs: 3 - 4. Hypotenuse?
x(x - y + 1)
5
1:sqrt3:2
The set of elements found in both A and B.

19. What is the 'domain' of a function?
Cd
The set of input values for a function.
Area of the base X height = (pi)hr^2
1:sqrt3:2

20. What is the slope of a horizontal line?
61 - 67
90pi
0
x(x - y + 1)

21. 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)]?
Two angles whose sum is 180.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
True
83.333%

22. 3/8 in percent?
A set with no members - denoted by a circle with a diagonal through it.
4.25 - 6 - 22
(b + c)
37.5%

23. Legs 5 - 12. Hypotenuse?
13
No - the input value has exactly one output.
When the function is not defined for all real numbers -; only a subset of the real numbers.
Factors are few - multiples are many.

24. 60 < all primes <70
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)
90
The objects within a set.
61 - 67

25. a^2 - 2ab + b^2
(a - b)^2
A circle centered at -2 - -2 with radius 3.
Two angles whose sum is 180.
2(pi)r^2 + 2(pi)rh

26. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
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)
Cd
Two angles whose sum is 180.
x^(4+7) = x^11

27. What is a central angle?
F(x + c)
20.5
A central angle is an angle formed by 2 radii.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

28. What is the 'Restricted domain of a function'?
Pi is the ratio of a circle'S circumference to its diameter.
52
When the function is not defined for all real numbers -; only a subset of the real numbers.
4096

29. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Even
70
The longest arc between points A and B on a circle'S diameter.
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.

30. Formula for the area of a circle?
2(pi)r^2 + 2(pi)rh
A = I (1 + rt)
A = pi(r^2)
4.25 - 6 - 22

31. A number is divisible by 9 if...
The sum of digits is divisible by 9.
75:11
27^(-4)
90 degrees

32. What is a subset?
1:1:sqrt2
A grouping of the members within a set based on a shared characteristic.
The steeper the slope.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

33. 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
A subset.
18
(amount of decrease/original price) x 100%
41 - 43 - 47

34. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
9 & 6/7
2.592 kg
An isosceles right triangle.
180 degrees

35. 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))?
Undefined
1:1:sqrt2
20.5
10! / (10-3)! = 720

36. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
2(pi)r^2 + 2(pi)rh
An arc is a portion of a circumference of a circle.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

37. How to find the circumference of a circle which circumscribes a square?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
55%
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

38. The slope of a line perpendicular to (a/b)?
Its negative reciprocal. (-b/a)
72
67 - 71 - 73
1

39. 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
6 : 1 : 2
An expression with just one term (-6x - 2a^2)
180 degrees

40. 8.84 / 5.2
x(x - y + 1)
48
1.7
Indeterminable.

41. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
Undefined
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
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

42. 30< all primes<40
A set with a number of elements which can be counted.
90
72
31 - 37

43. Evaluate 3& 2/7 / 1/3
9 & 6/7
...multiply by 100.
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
x(x - y + 1)

44. What are the irrational numbers?

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45. 50 < all primes< 60
53 - 59
6
Yes - like radicals can be added/subtracted.
1/2 times 7/3

46. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - the input value has exactly one output.
180 degrees
An arc is a portion of a circumference of a circle.
72

47. What is the sum of the angles of a triangle?
No - only like radicals can be added.
180 degrees
The steeper the slope.
37.5%

48. Simplify (a^2 + b)^2 - (a^2 - b)^2
Move the decimal point to the right x places
Triangles with same measure and same side lengths.
4a^2(b)
Its divisible by 2 and by 3.

49. A number is divisible by 4 is...
7 / 1000
Its last two digits are divisible by 4.
Triangles with same measure and same side lengths.
An arc is a portion of a circumference of a circle.

50. (6sqrt3) x (2sqrt5) =
An arc is a portion of a circumference of a circle.
3sqrt4
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Two equal sides and two equal angles.