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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 an arc of a circle?
An arc is a portion of a circumference of a circle.
12! / 5!7! = 792
1/2 times 7/3
No - the input value has exactly one output.

2. a^2 - 2ab + b^2
(a - b)^2
N! / (k!)(n-k)!
27^(-4)
The second graph is less steep.

3. What are the irrational numbers?

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4. Pi is a ratio of what to what?

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5. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
413.03 / 10^4 (move the decimal point 4 places to the left)
A circle centered at -2 - -2 with radius 3.
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.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

6. How many multiples does a given number have?
.0004809 X 10^11
27^(-4)
180 degrees
Infinite.

7. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
The interesection of A and B.
A 30-60-90 triangle.
(a - b)(a + b)

8. 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?
Part = Percent X Whole
2.592 kg
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A central angle is an angle formed by 2 radii.

9. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
N! / (k!)(n-k)!
12.5%
(a + b)^2

10. 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?
...multiply by 100.
3 - -3
10! / (10-3)! = 720
(b + c)

11. What is the set of elements which can be found in either A or B?
8
The empty set - denoted by a circle with a diagonal through it.
31 - 37
The union of A and B.

12. 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?
500
Area of the base X height = (pi)hr^2
5 OR -5
Two angles whose sum is 180.

13. Max and Min lengths for a side of a triangle?
N! / (n-k)!
The third side is greater than the difference and less than the sum.
When the function is not defined for all real numbers -; only a subset of the real numbers.
A reflection about the origin.

14. The slope of a line perpendicular to (a/b)?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The two xes after factoring.
Its negative reciprocal. (-b/a)
(a + b)^2

15. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
75:11
... the square of the ratios of the corresponding sides.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

16. In a regular polygon with n sides - the formula for the sum of interior angles
Relationship cannot be determined (what if x is negative?)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Yes. [i.e. f(x) = x^2 - 1
(n-2) x 180

17. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
2^9 / 2 = 256
1
Factors are few - multiples are many.

18. What are 'Supplementary angles?'
N! / (k!)(n-k)!
(amount of decrease/original price) x 100%
0
Two angles whose sum is 180.

19. What percent of 40 is 22?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
x(x - y + 1)
55%
90pi

20. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
y = 2x^2 - 3

21. 1/6 in percent?
16.6666%
Diameter(Pi)
(a - b)^2
x^(2(4)) =x^8 = (x^4)^2

22. Write 10 -843 X 10^7 in scientific notation
An isosceles right triangle.
5
1.0843 X 10^11
0

23. Formula to find a circle'S circumference from its diameter?
C = (pi)d
III
Members or elements
The curve opens upward and the vertex is the minimal point on the graph.

24. Circumference of a circle?
The empty set - denoted by a circle with a diagonal through it.
An arc is a portion of a circumference of a circle.
Diameter(Pi)
4.25 - 6 - 22

25. Formula of rectangle where l increases by 20% and w decreases by 20%
7 / 1000
x= (1.2)(.8)lw
90pi
72

26. What is a subset?
83.333%
A grouping of the members within a set based on a shared characteristic.
55%
23 - 29

27. (a^-1)/a^5
The direction of the inequality is reversed.
Undefined - because we can'T divide by 0.
1/a^6
A tangent is a line that only touches one point on the circumference of a circle.

28. What is a major arc?

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29. If the two sides of a triangle are unequal then the longer side...
1/a^6
A circle centered at -2 - -2 with radius 3.
1
Lies opposite the greater angle

30. What are the rational numbers?
Even
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
0
4:5

31. 5/8 in percent?
The longest arc between points A and B on a circle'S diameter.
A subset.
62.5%
61 - 67

32. How to find the area of a sector?
Yes - like radicals can be added/subtracted.
Angle/360 x (pi)r^2
The interesection of A and B.
2.592 kg

33. Which quadrant is the upper right hand?
1.7
(amount of increase/original price) x 100%
No - only like radicals can be added.
I

34. 0^0
Two equal sides and two equal angles.
Undefined
All numbers multiples of 1.
31 - 37

35. What are the smallest three prime numbers greater than 65?
The shortest arc between points A and B on a circle'S diameter.
67 - 71 - 73
5
$11 -448

36. 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?
N! / (k!)(n-k)!
(amount of decrease/original price) x 100%
The set of elements which can be found in either A or B.
5 OR -5

37. 4.809 X 10^7 =
.0004809 X 10^11
55%
11 - 13 - 17 - 19
6

38. What is an isoceles triangle?
(a + b)^2
Two equal sides and two equal angles.
1
10! / (10-3)! = 720

39. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
(a - b)^2
1
Pi is the ratio of a circle'S circumference to its diameter.
Cd

40. 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.
28. n = 8 - k = 2. n! / k!(n-k)!
A reflection about the origin.
Even

41. Number of degrees in a triangle
500
83.333%
180
(p + q)/5

42. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
Undefined - because we can'T divide by 0.
4.25 - 6 - 22
Angle/360 x (pi)r^2
Area of the base X height = (pi)hr^2

43. A number is divisible by 9 if...
An expression with just one term (-6x - 2a^2)
13
N! / (k!)(n-k)!
The sum of digits is divisible by 9.

44. What is the slope of a horizontal line?
11 - 13 - 17 - 19
28. n = 8 - k = 2. n! / k!(n-k)!
0
A reflection about the origin.

45. Evaluate 4/11 + 11/12
52
8
1 & 37/132
180

46. Can you add sqrt 3 and sqrt 5?
1/a^6
Yes - like radicals can be added/subtracted.
The set of output values for a function.
No - only like radicals can be added.

47. Which quadrant is the upper left hand?
13pi / 2
II
An isosceles right triangle.
The curve opens downward and the vertex is the maximum point on the graph.

48. Whats the difference between factors and multiples?
0
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Factors are few - multiples are many.
An expression with just one term (-6x - 2a^2)

49. What is the formula for computing simple interest?
(amount of increase/original price) x 100%
87.5%
0
A = I (1 + rt)

50. x^6 / x^3
Two angles whose sum is 90.
x^(6-3) = x^3
II
The third side is greater than the difference and less than the sum.