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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. x^2 = 9. What is the value of x?
83.333%
3 - -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)
The two xes after factoring.

2. (a^-1)/a^5
A chord is a line segment joining two points on a circle.
1/a^6
4:5
The overlapping sections.

3. (-1)^2 =
180
16.6666%
67 - 71 - 73
1

4. Which quandrant is the lower right hand?
The steeper the slope.
IV
A tangent is a line that only touches one point on the circumference of a circle.
F(x) + c

5. 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?
F(x) - c
1
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
IV

6. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A set with a number of elements which can be counted.
288 (8 9 4)
A reflection about the axis.
I

7. What is the slope of a horizontal line?
A chord is a line segment joining two points on a circle.
72
441000 = 1 10 10 10 21 * 21
0

8. 30< all primes<40
31 - 37
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
13
Indeterminable.

9. What percent of 40 is 22?
A tangent is a line that only touches one point on the circumference of a circle.
2
Even
55%

10. 10^6 has how many zeroes?
Area of the base X height = (pi)hr^2
The interesection of A and B.
.0004809 X 10^11
6

11. What is the measure of an exterior angle of a regular pentagon?
180 degrees
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
72
Sqrt 12

12. (-1)^3 =
1
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
67 - 71 - 73
1/(x^y)

13. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
The second graph is less steep.
Undefined
.0004809 X 10^11

14. 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.
...multiply by 100.
(a - b)(a + b)
(amount of decrease/original price) x 100%

15. The objects in a set are called two names:
The union of A and B.
10! / (10-3)! = 720
Members or elements
A set with no members - denoted by a circle with a diagonal through it.

16. What is the sum of the angles of a triangle?
4.25 - 6 - 22
180 degrees
20.5
F(x + c)

17. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
90 degrees
61 - 67
N! / (k!)(n-k)!
Yes. [i.e. f(x) = x^2 - 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?
441000 = 1 10 10 10 21 * 21
y = 2x^2 - 3
From northeast - counterclockwise. I - II - III - IV
1/2 times 7/3

19. What is the ratio of the sides of an isosceles right triangle?
3sqrt4
The set of output values for a function.
6
1:1:sqrt2

20. Factor x^2 - xy + x.
12.5%
x(x - y + 1)
70
II

21. What are the roots of the quadrinomial x^2 + 2x + 1?
An infinite set.
10! / (10-3)! = 720
The two xes after factoring.
2.592 kg

22. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
48
12.5%
2^9 / 2 = 256
Sqrt 12

23. A number is divisible by 9 if...
The sum of digits is divisible by 9.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
41 - 43 - 47
1 & 37/132

24. 10<all primes<20
A = I (1 + rt)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1/a^6
11 - 13 - 17 - 19

25. What is the 'Solution' for a system of linear equations?
10! / (10-3)! = 720
3
The objects within a set.
The point of intersection of the systems.

26. 2sqrt4 + sqrt4 =
3sqrt4
A = pi(r^2)
Undefined
The point of intersection of the systems.

27. A number is divisible by 4 is...
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1:1:sqrt2
$3 -500 in the 9% and $2 -500 in the 7%.
Its last two digits are divisible by 4.

28. What are the integers?
All numbers multiples of 1.
Divide by 100.
No - the input value has exactly one output.
Yes - like radicals can be added/subtracted.

29. In a regular polygon with n sides - the formula for the sum of interior angles
13pi / 2
A reflection about the origin.
(n-2) x 180
(a - b)(a + b)

30. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
F(x) + c
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
27^(-4)

31. What is the 'Solution' for a set of inequalities.
.0004809 X 10^11
The overlapping sections.
The second graph is less steep.
True

32. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
2.592 kg
(amount of increase/original price) x 100%
1
.0004809 X 10^11

33. What is an arc of a circle?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
x= (1.2)(.8)lw
x^(6-3) = x^3
An arc is a portion of a circumference of a circle.

34. What does scientific notation mean?
48
71 - 73 - 79
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
28. n = 8 - k = 2. n! / k!(n-k)!

35. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
10
0
(amount of decrease/original price) x 100%
The sum of digits is divisible by 9.

36. What is a tangent?
Yes. [i.e. f(x) = x^2 - 1
A tangent is a line that only touches one point on the circumference of a circle.
A chord is a line segment joining two points on a circle.
The set of elements found in both A and B.

37. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
When the function is not defined for all real numbers -; only a subset of the real numbers.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A set with a number of elements which can be counted.

38. Pi is a ratio of what to what?

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39. 4.809 X 10^7 =
An isosceles right triangle.
.0004809 X 10^11
F(x) - c
Its last two digits are divisible by 4.

40. a^2 - b^2 =
18
Its negative reciprocal. (-b/a)
0
(a - b)(a + b)

41. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
31 - 37
11 - 13 - 17 - 19
67 - 71 - 73

42. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
Ax^2 + bx + c where a -b and c are constants and a /=0
62.5%
18

43. How to find the circumference of a circle which circumscribes a square?
2^9 / 2 = 256
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
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Ax^2 + bx + c where a -b and c are constants and a /=0

44. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
4:5
3
Its divisible by 2 and by 3.
Indeterminable.

45. Simplify the expression (p^2 - q^2)/ -5(q - p)
The third side is greater than the difference and less than the sum.
Ax^2 + bx + c where a -b and c are constants and a /=0
(p + q)/5
... the square of the ratios of the corresponding sides.

46. Formula to calculate arc length?
A reflection about the axis.
1/2 times 7/3
Two equal sides and two equal angles.
Arc length = (n/360) x pi(2r) where n is the number of degrees.

47. What are 'Supplementary angles?'
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
288 (8 9 4)
Two angles whose sum is 180.
130pi

48. To convert a percent to a fraction....
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Divide by 100.
F(x + c)
130pi

49. 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)
F(x) + c
4.25 - 6 - 22
72
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

50. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
12! / 5!7! = 792
11 - 13 - 17 - 19
180 degrees