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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 the set of elements which can be found in either A or B?
10
The union of A and B.
An angle which is supplementary to an interior angle.
2

2. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
37.5%
A reflection about the axis.
The union of A and B.

3. 5x^2 - 35x -55 = 0
$3 -500 in the 9% and $2 -500 in the 7%.
83.333%
Divide by 100.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

4. P and r are factors of 100. What is greater - pr or 100?
6 : 1 : 2
1
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Indeterminable.

5. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
A circle centered on the origin with radius 8.
(p + q)/5
The sum of digits is divisible by 9.
$11 -448

6. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
37.5%
Cd
Its last two digits are divisible by 4.
0

7. x^6 / x^3
The objects within a set.
6
x^(6-3) = x^3
The greatest value minus the smallest.

8. How many sides does a hexagon have?
12! / 5!7! = 792
A circle centered on the origin with radius 8.
The point of intersection of the systems.
6

9. What are the smallest three prime numbers greater than 65?
A subset.
2^9 / 2 = 256
67 - 71 - 73
...multiply by 100.

10. What is the slope of a vertical line?

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11. a^0 =
A reflection about the origin.
1
72
(a - b)^2

12. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
28. n = 8 - k = 2. n! / k!(n-k)!
7 / 1000
180 degrees
10! / 3!(10-3)! = 120

13. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
x= (1.2)(.8)lw
4725
True
.0004809 X 10^11

14. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
$11 -448
N! / (k!)(n-k)!
A = I (1 + rt)

15. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
10! / 3!(10-3)! = 120
Divide by 100.
90
(amount of increase/original price) x 100%

16. Can the output value of a function have more than one input value?
An infinite set.
Yes. [i.e. f(x) = x^2 - 1
The second graph is less steep.
From northeast - counterclockwise. I - II - III - IV

17. sqrt 2(sqrt 6)=
1 & 37/132
Part = Percent X Whole
Cd
Sqrt 12

18. What is the 'Range' of a function?
The set of output values for a function.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
0
A chord is a line segment joining two points on a circle.

19. How to find the diagonal of a rectangular solid?
(p + q)/5
288 (8 9 4)
When the function is not defined for all real numbers -; only a subset of the real numbers.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

20. Number of degrees in a triangle
Lies opposite the greater angle
55%
.0004809 X 10^11
180

21. What is the ratio of the sides of an isosceles right triangle?
The curve opens upward and the vertex is the minimal point on the graph.
The direction of the inequality is reversed.
1:1:sqrt2
Two equal sides and two equal angles.

22. Which is greater? 200x^295 or 10x^294?
53 - 59
Relationship cannot be determined (what if x is negative?)
A set with a number of elements which can be counted.
8

23. a^2 + 2ab + b^2
Two angles whose sum is 180.
72
83.333%
(a + b)^2

24. 7/8 in percent?
0
The greatest value minus the smallest.
F(x-c)
87.5%

25. Factor x^2 - xy + x.
x(x - y + 1)
III
1
Yes - like radicals can be added/subtracted.

26. Which quadrant is the lower left hand?
III
1/(x^y)
41 - 43 - 47
1/2 times 7/3

27. 30< all primes<40
31 - 37
Its last two digits are divisible by 4.
C = 2(pi)r
x= (1.2)(.8)lw

28. The objects in a set are called two names:
Members or elements
N! / (k!)(n-k)!
An angle which is supplementary to an interior angle.
4:5

29. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
The two xes after factoring.
13pi / 2
The overlapping sections.
12.5%

30. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
288 (8 9 4)
No - only like radicals can be added.
1/(x^y)
2

31. What is a parabola?
3
11 - 13 - 17 - 19
Pi is the ratio of a circle'S circumference to its diameter.
Ax^2 + bx + c where a -b and c are constants and a /=0

32. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
1
Triangles with same measure and same side lengths.
20.5
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

33. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
1
48
(a - b)(a + b)
1

34. What is a major arc?

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35. 5/6 in percent?
83.333%
23 - 29
N! / (k!)(n-k)!
(base*height) / 2

36. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
3 - -3
18
$3 -500 in the 9% and $2 -500 in the 7%.
441000 = 1 10 10 10 21 * 21

37. Reduce: 4.8 : 0.8 : 1.6
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1/(x^y)
6 : 1 : 2
(a + b)^2

38. What is the maximum value for the function g(x) = (-2x^2) -1?
1
The union of A and B.
The third side is greater than the difference and less than the sum.
87.5%

39. 25^(1/2) or sqrt. 25 =
Cd
5 OR -5
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
4725

40. What are the irrational numbers?

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41. Simplify the expression [(b^2 - c^2) / (b - c)]
90pi
1
(b + c)
From northeast - counterclockwise. I - II - III - IV

42. 70 < all primes< 80
1.0843 X 10^11
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
71 - 73 - 79
90

43. 8.84 / 5.2
A reflection about the origin.
1.7
The empty set - denoted by a circle with a diagonal through it.
1/(x^y)

44. Surface area for a cylinder?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Factors are few - multiples are many.
16.6666%
2(pi)r^2 + 2(pi)rh

45. What is a central angle?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The third side is greater than the difference and less than the sum.
1
A central angle is an angle formed by 2 radii.

46. (a^-1)/a^5
Move the decimal point to the right x places
1:1:sqrt2
A reflection about the axis.
1/a^6

47. What is the slope of a horizontal line?
Factors are few - multiples are many.
0
(amount of decrease/original price) x 100%
All numbers multiples of 1.

48. Whats the difference between factors and multiples?
1 & 37/132
180 degrees
10
Factors are few - multiples are many.

49. In a regular polygon with n sides - the formula for the sum of interior angles
A set with a number of elements which can be counted.
Part = Percent X Whole
(n-2) x 180
2 & 3/7

50. What are the real numbers?
2.592 kg
(a - b)(a + b)
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)
Relationship cannot be determined (what if x is negative?)