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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. 25^(1/2) or sqrt. 25 =
5 OR -5
Two angles whose sum is 180.
72
The longest arc between points A and B on a circle'S diameter.

2. 2sqrt4 + sqrt4 =
4a^2(b)
3sqrt4
Undefined - because we can'T divide by 0.
37.5%

3. What number between 70 & 75 - inclusive - has the greatest number of factors?
C = (pi)d
10! / (10-3)! = 720
The set of output values for a function.
72

4. What is the measure of an exterior angle of a regular pentagon?
53 - 59
A circle centered at -2 - -2 with radius 3.
(base*height) / 2
72

5. What is the order of operations?
The set of elements which can be found in either A or B.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Lies opposite the greater angle
37.5%

6. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
31 - 37
37.5%
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
x^(2(4)) =x^8 = (x^4)^2

7. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
(amount of decrease/original price) x 100%
Its negative reciprocal. (-b/a)
All numbers multiples of 1.

8. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
The sum of its digits is divisible by 3.
Area of the base X height = (pi)hr^2
1

9. The objects in a set are called two names:
Members or elements
x(x - y + 1)
Triangles with same measure and same side lengths.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

10. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
The steeper the slope.
C = 2(pi)r
3
8

11. Find the surface area of a cylinder with radius 3 and height 12.
31 - 37
An isosceles right triangle.
90pi
1:sqrt3:2

12. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
61 - 67
IV
70

13. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
1:1:sqrt2
1:sqrt3:2
y = (x + 5)/2
A circle centered at -2 - -2 with radius 3.

14. When the 'a' in a parabola is positive....
1.0843 X 10^11
The curve opens upward and the vertex is the minimal point on the graph.
An isosceles right triangle.
6

15. What is the set of elements found in both A and B?
The empty set - denoted by a circle with a diagonal through it.
True
Part = Percent X Whole
The interesection of A and B.

16. Define a 'monomial'
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Part = Percent X Whole
A set with no members - denoted by a circle with a diagonal through it.
An expression with just one term (-6x - 2a^2)

17. 1/8 in percent?
90 degrees
Cd
12.5%
The curve opens downward and the vertex is the maximum point on the graph.

18. Simplify 9^(1/2) X 4^3 X 2^(-6)?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The sum of its digits is divisible by 3.
3
Triangles with same measure and same side lengths.

19. Factor a^2 + 2ab + b^2
3
(a + b)^2
180 degrees
The set of output values for a function.

20. Factor x^2 - xy + x.
x(x - y + 1)
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...
.0004809 X 10^11
An infinite set.

21. a^2 - 2ab + b^2
A reflection about the axis.
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 - b)^2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

22. The slope of a line perpendicular to (a/b)?
$11 -448
Divide by 100.
Its negative reciprocal. (-b/a)
The greatest value minus the smallest.

23. What is a piecewise equation?
20.5
3 - -3
(a - b)(a + b)
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

24. Surface area for a cylinder?
9 : 25
2(pi)r^2 + 2(pi)rh
The interesection of A and B.
4725

25. Formula to calculate arc length?
10! / 3!(10-3)! = 120
Arc length = (n/360) x pi(2r) where n is the number of degrees.
0
A circle centered at -2 - -2 with radius 3.

26. 30< all primes<40
The overlapping sections.
31 - 37
3sqrt4
13pi / 2

27. 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?
20.5
N! / (n-k)!
1
Even

28. How many multiples does a given number have?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
A reflection about the origin.
An arc is a portion of a circumference of a circle.
Infinite.

29. Legs: 3 - 4. Hypotenuse?
5
1:sqrt3:2
48
180 degrees

30. P and r are factors of 100. What is greater - pr or 100?
Divide by 100.
The direction of the inequality is reversed.
6
Indeterminable.

31. What are the irrational numbers?

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32. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
G(x) = {x}
The direction of the inequality is reversed.
The sum of its digits is divisible by 3.

33. sqrt 2(sqrt 6)=
4096
Sqrt 12
2sqrt6
31 - 37

34. Order of quadrants:
2sqrt6
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
From northeast - counterclockwise. I - II - III - IV
The sum of its digits is divisible by 3.

35. Volume for a cylinder?
The empty set - denoted by a circle with a diagonal through it.
Area of the base X height = (pi)hr^2
x^(6-3) = x^3
Sqrt 12

36. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
0
2
... the square of the ratios of the corresponding sides.

37. Which quadrant is the upper left hand?
The point of intersection of the systems.
10
II
x^(2(4)) =x^8 = (x^4)^2

38. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
13pi / 2
The point of intersection of the systems.
The union of A and B.

39. What are the real numbers?
2 & 3/7
The set of output values for a function.
Ax^2 + bx + c where a -b and c are constants and a /=0
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)

40. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
16.6666%
The objects within a set.
An isosceles right triangle.
$11 -448

41. If the two sides of a triangle are unequal then the longer side...
The sum of digits is divisible by 9.
Lies opposite the greater angle
1/(x^y)
83.333%

42. x^6 / x^3
The longest arc between points A and B on a circle'S diameter.
x^(6-3) = x^3
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The second graph is less steep.

43. 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?
Undefined - because we can'T divide by 0.
1.7
130pi
10! / (10-3)! = 720

44. What is an exterior angle?
An angle which is supplementary to an interior angle.
1
27^(-4)
4a^2(b)

45. 3/8 in percent?
1
(a + b)^2
37.5%
The sum of digits is divisible by 9.

46. (6sqrt3) x (2sqrt5) =
When the function is not defined for all real numbers -; only a subset of the real numbers.
A circle centered on the origin with radius 8.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
4a^2(b)

47. a^2 - b^2
$11 -448
18
(a - b)(a + b)
The third side is greater than the difference and less than the sum.

48. (a^-1)/a^5
87.5%
(a - b)(a + b)
1/a^6
10

49. x^(-y)=
The third side is greater than the difference and less than the sum.
28. n = 8 - k = 2. n! / k!(n-k)!
C = 2(pi)r
1/(x^y)

50. What is the 'Range' of a function?
55%
4:5
28. n = 8 - k = 2. n! / k!(n-k)!
The set of output values for a function.