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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. Solve the quadratic equation ax^2 + bx + c= 0
(amount of increase/original price) x 100%
1
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)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

2. Reduce: 4.8 : 0.8 : 1.6
1.0843 X 10^11
6 : 1 : 2
An expression with just one term (-6x - 2a^2)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

3. 70 < all primes< 80
71 - 73 - 79
The objects within a set.
4.25 - 6 - 22
55%

4. 25^(1/2) or sqrt. 25 =
5 OR -5
52
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A = pi(r^2)

5. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
2sqrt6
Part = Percent X Whole
72

6. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
y = 2x^2 - 3
Angle/360 x 2(pi)r
Pi is the ratio of a circle'S circumference to its diameter.
70

7. What are the members or elements of a set?
1/2 times 7/3
N! / (k!)(n-k)!
The objects within a set.
Undefined - because we can'T divide by 0.

8. Find the surface area of a cylinder with radius 3 and height 12.
90pi
0
1 & 37/132
Undefined

9. x^4 + x^7 =
F(x + c)
x^(4+7) = x^11
441000 = 1 10 10 10 21 * 21
1

10. 1/8 in percent?
4a^2(b)
3
12.5%
Angle/360 x 2(pi)r

11. What number between 70 & 75 - inclusive - has the greatest number of factors?
16.6666%
2.592 kg
72
1.0843 X 10^11

12. 1/2 divided by 3/7 is the same as
1/2 times 7/3
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
13pi / 2
9 : 25

13. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
55%
2
The set of elements which can be found in either A or B.
Infinite.

14. How to determine percent increase?
(amount of increase/original price) x 100%
Area of the base X height = (pi)hr^2
10
13pi / 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.
Yes. [i.e. f(x) = x^2 - 1
180 degrees
True

16. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
10! / 3!(10-3)! = 120
12.5%
87.5%

17. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
1 & 37/132
180
12! / 5!7! = 792
1

18. 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?
Lies opposite the greater angle
y = 2x^2 - 3
4.25 - 6 - 22
90

19. Which quadrant is the upper right hand?
I
1
1 & 37/132
13

20. 4.809 X 10^7 =
.0004809 X 10^11
From northeast - counterclockwise. I - II - III - IV
Relationship cannot be determined (what if x is negative?)
Area of the base X height = (pi)hr^2

21. Which quadrant is the lower left hand?
The set of elements which can be found in either A or B.
An expression with just one term (-6x - 2a^2)
III
The set of output values for a function.

22. Legs 6 - 8. Hypotenuse?
9 & 6/7
All numbers multiples of 1.
A tangent is a line that only touches one point on the circumference of a circle.
10

23. In a regular polygon with n sides - the formula for the sum of interior angles
(p + q)/5
28. n = 8 - k = 2. n! / k!(n-k)!
(b + c)
(n-2) x 180

24. 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.
Yes - like radicals can be added/subtracted.
N! / (n-k)!
True

25. Simplify the expression (p^2 - q^2)/ -5(q - p)
(p + q)/5
$3 -500 in the 9% and $2 -500 in the 7%.
18
A subset.

26. P and r are factors of 100. What is greater - pr or 100?
4.25 - 6 - 22
The shortest arc between points A and B on a circle'S diameter.
Relationship cannot be determined (what if x is negative?)
Indeterminable.

27. Can you simplify sqrt72?
The two xes after factoring.
288 (8 9 4)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

28. Define an 'expression'.
The longest arc between points A and B on a circle'S diameter.
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)
71 - 73 - 79
Triangles with same measure and same side lengths.

29. Convert 0.7% to a fraction.
16.6666%
1 & 37/132
7 / 1000
(p + q)/5

30. The ratio of the areas of two similar polygons is ...
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.
... the square of the ratios of the corresponding sides.
2(pi)r^2 + 2(pi)rh

31. Which is greater? 200x^295 or 10x^294?
y = (x + 5)/2
Relationship cannot be determined (what if x is negative?)
(a - b)(a + b)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

32. Formula for the area of a sector of a circle?
10
The empty set - denoted by a circle with a diagonal through it.
Sector area = (n/360) X (pi)r^2
True

33. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
Two angles whose sum is 90.
6 : 1 : 2
9 & 6/7
1

34. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
20.5
72

35. Can the output value of a function have more than one input value?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Yes. [i.e. f(x) = x^2 - 1
1
A reflection about the axis.

36. What are 'Supplementary angles?'
Two angles whose sum is 180.
A grouping of the members within a set based on a shared characteristic.
An expression with just one term (-6x - 2a^2)
y = 2x^2 - 3

37. 40 < all primes<50
41 - 43 - 47
67 - 71 - 73
The set of input values for a function.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

38. 413.03 x 10^(-4) =
The overlapping sections.
413.03 / 10^4 (move the decimal point 4 places to the left)
(a + b)^2
N! / (n-k)!

39. To convert a percent to a fraction....
The overlapping sections.
Divide by 100.
180
An infinite set.

40. 0^0
Undefined
Sector area = (n/360) X (pi)r^2
1/(x^y)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

41. 10<all primes<20
1/2 times 7/3
20.5
(a - b)^2
11 - 13 - 17 - 19

42. The slope of a line perpendicular to (a/b)?
Its negative reciprocal. (-b/a)
... the square of the ratios of the corresponding sides.
31 - 37
The curve opens upward and the vertex is the minimal point on the graph.

43. What is a piecewise equation?
(a - b)^2
An expression with just one term (-6x - 2a^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.
3

44. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
The set of elements found in both A and B.
1
13

45. (-1)^2 =
Undefined - because we can'T divide by 0.
7 / 1000
1
Its last two digits are divisible by 4.

46. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
x= (1.2)(.8)lw
(a - b)(a + b)
4.25 - 6 - 22

47. What are the irrational numbers?

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48. What is the 'domain' of a function?
The set of input values for a function.
90
The steeper the slope.
61 - 67

49. What is the ratio of the sides of an isosceles right triangle?
3 - -3
1:1:sqrt2
(a + b)^2
Undefined

50. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
... the square of the ratios of the corresponding sides.
2^9 / 2 = 256
Area of the base X height = (pi)hr^2