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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. Which is greater? 64^5 or 16^8
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
A reflection about the origin.
61 - 67
Its negative reciprocal. (-b/a)

2. What are the members or elements of a set?
The objects within a set.
A subset.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The curve opens downward and the vertex is the maximum point on the graph.

3. 1/2 divided by 3/7 is the same as
20.5
Angle/360 x 2(pi)r
1/2 times 7/3
Its divisible by 2 and by 3.

4. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
Yes. [i.e. f(x) = x^2 - 1
500
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.
Two angles whose sum is 90.

5. What is a major arc?

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6. Is 0 even or odd?
Two angles whose sum is 180.
Even
75:11
62.5%

7. What is the name for a grouping of the members within a set based on a shared characteristic?
The second graph is less steep.
A subset.
(amount of increase/original price) x 100%
1/a^6

8. A number is divisible by 4 is...
3
The longest arc between points A and B on a circle'S diameter.
Its last two digits are divisible by 4.
1

9. Pi is a ratio of what to what?

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10. What is the order of operations?
2sqrt6
4.25 - 6 - 22
A reflection about the origin.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

11. Which quadrant is the lower left hand?
A reflection about the axis.
1
F(x + c)
III

12. What is the graph of f(x) shifted downward c units or spaces?
6
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
90 degrees
F(x) - c

13. P and r are factors of 100. What is greater - pr or 100?
41 - 43 - 47
The two xes after factoring.
8
Indeterminable.

14. The objects in a set are called two names:
2sqrt6
An infinite set.
Members or elements
y = (x + 5)/2

15. 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.
I
The objects within a set.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

16. What is a piecewise equation?
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 graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Undefined - because we can'T divide by 0.
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

17. To multiply a number by 10^x
72
Move the decimal point to the right x places
37.5%
N! / (k!)(n-k)!

18. a^2 - b^2 =
2
(a - b)(a + b)
1:1:sqrt2
2^9 / 2 = 256

19. What is a central angle?
A tangent is a line that only touches one point on the circumference of a circle.
x^(4+7) = x^11
A central angle is an angle formed by 2 radii.
Its divisible by 2 and by 3.

20. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
An angle which is supplementary to an interior angle.
An arc is a portion of a circumference of a circle.
Its divisible by 2 and by 3.
90

21. When does a function automatically have a restricted domain (2)?
61 - 67
72
IV
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

22. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
A set with a number of elements which can be counted.
III
The direction of the inequality is reversed.

23. Surface area for a cylinder?
12! / 5!7! = 792
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
2(pi)r^2 + 2(pi)rh
5

24. What is the surface area of a cylinder with radius 5 and height 8?
130pi
Two equal sides and two equal angles.
All numbers multiples of 1.
67 - 71 - 73

25. Define an 'expression'.
71 - 73 - 79
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
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)
The union of A and B.

26. What percent of 40 is 22?
$11 -448
55%
1
2

27. Max and Min lengths for a side of a triangle?
Angle/360 x (pi)r^2
From northeast - counterclockwise. I - II - III - IV
The third side is greater than the difference and less than the sum.
62.5%

28. x^(-y)=
(base*height) / 2
37.5%
An arc is a portion of a circumference of a circle.
1/(x^y)

29. Which quadrant is the upper left hand?
2
12sqrt2
II
Sqrt 12

30. 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?
4a^2(b)
10! / 3!(10-3)! = 120
10
3/2 - 5/3

31. a^2 - b^2
(a - b)(a + b)
The curve opens downward and the vertex is the maximum point on the graph.
An arc is a portion of a circumference of a circle.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

32. Formula of rectangle where l increases by 20% and w decreases by 20%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
x= (1.2)(.8)lw
1
11 - 13 - 17 - 19

33. Whats the difference between factors and multiples?
Sqrt 12
A reflection about the axis.
Factors are few - multiples are many.
71 - 73 - 79

34. The perimeter of a square is 48 inches. The length of its diagonal is:
3
12sqrt2
9 & 6/7
A subset.

35. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
F(x) - c
2.592 kg
Angle/360 x 2(pi)r

36. Formula for the area of a sector of a circle?
Pi is the ratio of a circle'S circumference to its diameter.
75:11
Sector area = (n/360) X (pi)r^2
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

37. What is a subset?
The sum of digits is divisible by 9.
67 - 71 - 73
A grouping of the members within a set based on a shared characteristic.
10

38. 3/8 in percent?
37.5%
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
x(x - y + 1)
4.25 - 6 - 22

39. Formula to find a circle'S circumference from its radius?
Pi is the ratio of a circle'S circumference to its diameter.
C = 2(pi)r
23 - 29
90pi

40. Formula for the area of a circle?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
The interesection of A and B.
Infinite.
A = pi(r^2)

41. 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?
A grouping of the members within a set based on a shared characteristic.
4725
11 - 13 - 17 - 19
10! / (10-3)! = 720

42. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
1
48
6
4725

43. What is the 'Solution' for a set of inequalities.
The overlapping sections.
1 & 37/132
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)
F(x) + c

44. (12sqrt15) / (2sqrt5) =
An angle which is supplementary to an interior angle.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
G(x) = {x}
18

45. 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).
1
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Two angles whose sum is 90.

46. x^4 + x^7 =
The curve opens downward and the vertex is the maximum point on the graph.
x^(4+7) = x^11
9 & 6/7
F(x + c)

47. Can the output value of a function have more than one input value?
Yes. [i.e. f(x) = x^2 - 1
The curve opens downward and the vertex is the maximum point on the graph.
x^(2(4)) =x^8 = (x^4)^2
N! / (n-k)!

48. When the 'a' in the parabola is negative...
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The curve opens downward and the vertex is the maximum point on the graph.
Pi is the ratio of a circle'S circumference to its diameter.
The shortest arc between points A and B on a circle'S diameter.

49. What is the maximum value for the function g(x) = (-2x^2) -1?
13pi / 2
10
1
9 : 25

50. 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?
12sqrt2
y = 2x^2 - 3
An isosceles right triangle.
4.25 - 6 - 22