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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. (a^-1)/a^5
5 OR -5
1/a^6
90 degrees
2.592 kg

2. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
0
From northeast - counterclockwise. I - II - III - IV
True
2^9 / 2 = 256

3. What is a major arc?

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4. What is the absolute value function?
G(x) = {x}
6
0
3 - -3

5. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
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
27^(-4)
2^9 / 2 = 256
0

6. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
Angle/360 x (pi)r^2
N! / (k!)(n-k)!
12! / 5!7! = 792

7. Which is greater? 64^5 or 16^8
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
The curve opens downward and the vertex is the maximum point on the graph.
Even
N! / (n-k)!

8. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
Indeterminable.
8
Undefined

9. Volume for a cylinder?
0
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
All numbers multiples of 1.
Area of the base X height = (pi)hr^2

10. If an inequality is multiplied or divided by a negative number....
The union of A and B.
12sqrt2
The longest arc between points A and B on a circle'S diameter.
The direction of the inequality is reversed.

11. 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 equal sides and two equal angles.
(a + b)^2
Even

12. How many 3-digit positive integers are even and do not contain the digit 4?
Even
II
288 (8 9 4)
0

13. Max and Min lengths for a side of a triangle?
31 - 37
The third side is greater than the difference and less than the sum.
(amount of decrease/original price) x 100%
$3 -500 in the 9% and $2 -500 in the 7%.

14. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
2 & 3/7
C = 2(pi)r
N! / (n-k)!

15. 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?
A = pi(r^2)
A tangent is a line that only touches one point on the circumference of a circle.
The sum of digits is divisible by 9.
N! / (k!)(n-k)!

16. What are the real numbers?
The interesection of A and B.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Its divisible by 2 and by 3.
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)

17. What is the name for a grouping of the members within a set based on a shared characteristic?
10
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.
16.6666%
A subset.

18. What are the roots of the quadrinomial x^2 + 2x + 1?
28. n = 8 - k = 2. n! / k!(n-k)!
4.25 - 6 - 22
The two xes after factoring.
$3 -500 in the 9% and $2 -500 in the 7%.

19. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Cd
2sqrt6
All numbers multiples of 1.
G(x) = {x}

20. What are the irrational numbers?

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21. 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?
$11 -448
(a + b)^2
10! / (10-3)! = 720
Members or elements

22. What does scientific notation mean?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
(p + q)/5
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)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

23. Legs 6 - 8. Hypotenuse?
N! / (k!)(n-k)!
10
3
A = pi(r^2)

24. What is the formula for computing simple interest?
(a + b)^2
Undefined - because we can'T divide by 0.
A = I (1 + rt)
F(x-c)

25. 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?
x^(2(4)) =x^8 = (x^4)^2
3/2 - 5/3
... the square of the ratios of the corresponding sides.
N! / (n-k)!

26. Simplify the expression [(b^2 - c^2) / (b - c)]
71 - 73 - 79
No - the input value has exactly one output.
The shortest arc between points A and B on a circle'S diameter.
(b + c)

27. A number is divisible by 9 if...
The sum of digits is divisible by 9.
Members or elements
The empty set - denoted by a circle with a diagonal through it.
1

28. Which is greater? 200x^295 or 10x^294?
Undefined
1/(x^y)
7 / 1000
Relationship cannot be determined (what if x is negative?)

29. What is the name of set with a number of elements which cannot be counted?
The longest arc between points A and B on a circle'S diameter.
2.592 kg
180
An infinite set.

30. What is the graph of f(x) shifted right c units or spaces?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The empty set - denoted by a circle with a diagonal through it.
F(x-c)
Area of the base X height = (pi)hr^2

31. 3/8 in percent?
Factors are few - multiples are many.
y = 2x^2 - 3
37.5%
Ax^2 + bx + c where a -b and c are constants and a /=0

32. What is the surface area of a cylinder with radius 5 and height 8?
4.25 - 6 - 22
$3 -500 in the 9% and $2 -500 in the 7%.
500
130pi

33. 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?
Lies opposite the greater angle
Two angles whose sum is 90.
2.592 kg
A central angle is an angle formed by 2 radii.

34. What is an isoceles triangle?
12! / 5!7! = 792
Pi is the ratio of a circle'S circumference to its diameter.
Two equal sides and two equal angles.
Part = Percent X Whole

35. Can the output value of a function have more than one input value?
Yes. [i.e. f(x) = x^2 - 1
2sqrt6
180
The overlapping sections.

36. In a regular polygon with n sides - the formula for the sum of interior angles
Two angles whose sum is 180.
(n-2) x 180
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Angle/360 x (pi)r^2

37. Can the input value of a function have more than one output value (i.e. x: y - y1)?
180
No - the input value has exactly one output.
Divide by 100.
x^(4+7) = x^11

38. What is the set of elements found in both A and B?
The interesection of A and B.
72
Relationship cannot be determined (what if x is negative?)
The longest arc between points A and B on a circle'S diameter.

39. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
(base*height) / 2
3
x^(2(4)) =x^8 = (x^4)^2

40. Define a 'monomial'
3 - -3
Yes - like radicals can be added/subtracted.
An expression with just one term (-6x - 2a^2)
5 OR -5

41. What are the smallest three prime numbers greater than 65?
x^(2(4)) =x^8 = (x^4)^2
2sqrt6
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
67 - 71 - 73

42. Solve the quadratic equation ax^2 + bx + c= 0
0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
All numbers multiples of 1.
7 / 1000

43. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
F(x-c)
31 - 37
71 - 73 - 79

44. Simplify the expression (p^2 - q^2)/ -5(q - p)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
No - the input value has exactly one output.
(p + q)/5
3

45. How to find the circumference of a circle which circumscribes a square?
The steeper the slope.
The set of elements found in both A and B.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A = I (1 + rt)

46. What is an exterior angle?
70
An angle which is supplementary to an interior angle.
An infinite set.
Diameter(Pi)

47. The slope of a line perpendicular to (a/b)?
Ax^2 + bx + c where a -b and c are constants and a /=0
10
Its negative reciprocal. (-b/a)
61 - 67

48. What is the intersection of A and B?
10
(a - b)(a + b)
The set of elements found in both A and B.
62.5%

49. A number is divisible by 6 if...
Its divisible by 2 and by 3.
Triangles with same measure and same side lengths.
The set of input values for a function.
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)

50. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
Indeterminable.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Two angles whose sum is 90.