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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. How to determine percent decrease?
Two angles whose sum is 180.
$11 -448
2^9 / 2 = 256
(amount of decrease/original price) x 100%

2. What is the name for a grouping of the members within a set based on a shared characteristic?
y = (x + 5)/2
A subset.
A 30-60-90 triangle.
4096

3. 0^0
Undefined
3 - -3
$11 -448
9 & 6/7

4. What is the set of elements which can be found in either A or B?
The union of A and B.
A set with no members - denoted by a circle with a diagonal through it.
(a - b)(a + b)
Indeterminable.

5. What is an arc of a circle?
An isosceles right triangle.
A 30-60-90 triangle.
An arc is a portion of a circumference of a circle.
288 (8 9 4)

6. What is the measure of an exterior angle of a regular pentagon?
No - only like radicals can be added.
72
1/(x^y)
x^(2(4)) =x^8 = (x^4)^2

7. 8.84 / 5.2
N! / (n-k)!
1.7
27^(-4)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

8. 2sqrt4 + sqrt4 =
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
4:5
3 - -3
3sqrt4

9. What is the side length of an equilateral triangle with altitude 6?
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...
I
(amount of increase/original price) x 100%
2.592 kg

10. A number is divisible by 9 if...
12sqrt2
The sum of digits is divisible by 9.
N! / (k!)(n-k)!
(amount of decrease/original price) x 100%

11. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
9 & 6/7
1
A tangent is a line that only touches one point on the circumference of a circle.
A circle centered on the origin with radius 8.

12. (12sqrt15) / (2sqrt5) =
III
90pi
$3 -500 in the 9% and $2 -500 in the 7%.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

13. 1/2 divided by 3/7 is the same as
1/2 times 7/3
0
Sqrt 12
Yes - like radicals can be added/subtracted.

14. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
(a - b)^2
C = 2(pi)r
Arc length = (n/360) x pi(2r) where n is the number of degrees.

15. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
The sum of digits is divisible by 9.
A central angle is an angle formed by 2 radii.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

16. 1/6 in percent?
.0004809 X 10^11
16.6666%
A chord is a line segment joining two points on a circle.
Factors are few - multiples are many.

17. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
The overlapping sections.
1/a^6
A circle centered on the origin with radius 8.

18. 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?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(base*height) / 2
Pi is the ratio of a circle'S circumference to its diameter.
75:11

19. Which quadrant is the upper left hand?
52
90pi
10! / (10-3)! = 720
II

20. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
.0004809 X 10^11
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...
11 - 13 - 17 - 19

21. The larger the absolute value of the slope...
...multiply by 100.
The steeper the slope.
2(pi)r^2 + 2(pi)rh
4.25 - 6 - 22

22. Formula to find a circle'S circumference from its diameter?
C = (pi)d
18
From northeast - counterclockwise. I - II - III - IV
G(x) = {x}

23. What is the 'Range' of a function?
A chord is a line segment joining two points on a circle.
IV
The set of output values for a function.
10! / 3!(10-3)! = 120

24. Is 0 even or odd?
18
Even
The set of elements which can be found in either A or B.
1

25. 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))?
8
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
20.5
Two equal sides and two equal angles.

26. 70 < all primes< 80
71 - 73 - 79
0
The overlapping sections.
No - the input value has exactly one output.

27. 30< all primes<40
(a - b)(a + b)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
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
31 - 37

28. sqrt 2(sqrt 6)=
F(x-c)
Sqrt 12
The overlapping sections.
2(pi)r^2 + 2(pi)rh

29. Pi is a ratio of what to what?

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30. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
Two angles whose sum is 180.
The curve opens upward and the vertex is the minimal point on the graph.
(base*height) / 2

31. Which quadrant is the lower left hand?
12! / 5!7! = 792
0
y = 2x^2 - 3
III

32. Write 10 -843 X 10^7 in scientific notation
12sqrt2
The sum of its digits is divisible by 3.
1
1.0843 X 10^11

33. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
70
90
Cd
Angle/360 x (pi)r^2

34. Number of degrees in a triangle
72
180
G(x) = {x}
I

35. What is the slope of a horizontal line?
Diameter(Pi)
A subset.
The curve opens downward and the vertex is the maximum point on the graph.
0

36. Which is greater? 64^5 or 16^8
16.6666%
Sector area = (n/360) X (pi)r^2
The interesection of A and B.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

37. What are the integers?
(amount of increase/original price) x 100%
The set of elements found in both A and B.
All numbers multiples of 1.
F(x + c)

38. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A set with no members - denoted by a circle with a diagonal through it.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
2.592 kg

39. What are the smallest three prime numbers greater than 65?
x^(2(4)) =x^8 = (x^4)^2
The two xes after factoring.
x^(6-3) = x^3
67 - 71 - 73

40. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
1:sqrt3:2
52
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
A reflection about the axis.

41. What are complementary angles?
Its divisible by 2 and by 3.
3 - -3
11 - 13 - 17 - 19
Two angles whose sum is 90.

42. 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?
10! / (10-3)! = 720
288 (8 9 4)
9 : 25
A reflection about the origin.

43. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
II
The point of intersection of the systems.
3

44. How to determine percent increase?
The shortest arc between points A and B on a circle'S diameter.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
(amount of increase/original price) x 100%
413.03 / 10^4 (move the decimal point 4 places to the left)

45. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
2.592 kg
(n-2) x 180
90 degrees

46. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
4096
48
y = 2x^2 - 3
A subset.

47. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Divide by 100.
A set with a number of elements which can be counted.
16.6666%

48. (-1)^2 =
6
71 - 73 - 79
1
The curve opens upward and the vertex is the minimal point on the graph.

49. Which is greater? 200x^295 or 10x^294?
.0004809 X 10^11
Relationship cannot be determined (what if x is negative?)
3 - -3
Move the decimal point to the right x places

50. What is the percent formula?
52
Part = Percent X Whole
413.03 / 10^4 (move the decimal point 4 places to the left)
No - only like radicals can be added.