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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. Max and Min lengths for a side of a triangle?
(base*height) / 2
The steeper the slope.
The third side is greater than the difference and less than the sum.
52

2. The objects in a set are called two names:
Members or elements
Ax^2 + bx + c where a -b and c are constants and a /=0
2
2^9 / 2 = 256

3. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
Two angles whose sum is 90.
x^(6-3) = x^3
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

4. (a^-1)/a^5
The set of output values for a function.
1/a^6
1/2 times 7/3
1

5. 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?
16.6666%
N! / (n-k)!
x^(4+7) = x^11
10! / 3!(10-3)! = 120

6. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
No - only like radicals can be added.
72
83.333%

7. What is the 'Solution' for a set of inequalities.
62.5%
Part = Percent X Whole
2sqrt6
The overlapping sections.

8. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
(a + b)^2
3
True
1/2 times 7/3

9. What are the real numbers?
61 - 67
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)
A set with a number of elements which can be counted.

10. 20<all primes<30
4:5
True
23 - 29
A set with a number of elements which can be counted.

11. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
90 degrees
8
A chord is a line segment joining two points on a circle.
1/2 times 7/3

12. What are complementary angles?
I
F(x) - c
Two angles whose sum is 90.
N! / (k!)(n-k)!

13. 70 < all primes< 80
3
1
71 - 73 - 79
83.333%

14. Simplify (a^2 + b)^2 - (a^2 - b)^2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
3
4a^2(b)
An angle which is supplementary to an interior angle.

15. Can you add sqrt 3 and sqrt 5?
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
No - only like radicals can be added.
The direction of the inequality is reversed.
1.0843 X 10^11

16. 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?
10! / (10-3)! = 720
Divide by 100.
The greatest value minus the smallest.
Indeterminable.

17. Number of degrees in a triangle
From northeast - counterclockwise. I - II - III - IV
1
11 - 13 - 17 - 19
180

18. What are the smallest three prime numbers greater than 65?
Diameter(Pi)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
67 - 71 - 73
(a + b)^2

19. What is the name of set with a number of elements which cannot be counted?
9 : 25
An infinite set.
A circle centered on the origin with radius 8.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

20. Area of a triangle?
12sqrt2
(base*height) / 2
A subset.
The greatest value minus the smallest.

21. 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.
Sector area = (n/360) X (pi)r^2
C = 2(pi)r
Area of the base X height = (pi)hr^2

22. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
Area of the base X height = (pi)hr^2
$11 -448
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A chord is a line segment joining two points on a circle.

23. 3/8 in percent?
1/2 times 7/3
III
(amount of decrease/original price) x 100%
37.5%

24. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
(a - b)(a + b)
28. n = 8 - k = 2. n! / k!(n-k)!
F(x-c)
x^(4+7) = x^11

25. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
Even
3
13pi / 2
Undefined - because we can'T divide by 0.

26. What is the name for a grouping of the members within a set based on a shared characteristic?
No - only like radicals can be added.
A subset.
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...
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

27. How to find the diagonal of a rectangular solid?
The longest arc between points A and B on a circle'S diameter.
1
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
A circle centered at -2 - -2 with radius 3.

28. Is 0 even or odd?
Its divisible by 2 and by 3.
Even
3 - -3
... the square of the ratios of the corresponding sides.

29. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
Its divisible by 2 and by 3.
A reflection about the origin.
The steeper the slope.

30. 0^0
The interesection of A and B.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The objects within a set.
Undefined

31. x^(-y)=
(a - b)^2
6 : 1 : 2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1/(x^y)

32. What is the slope of a horizontal line?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
9 : 25
G(x) = {x}
0

33. Write 10 -843 X 10^7 in scientific notation
16.6666%
7 / 1000
1.0843 X 10^11
0

34. What is the ratio of the sides of a 30-60-90 triangle?
10
1:sqrt3:2
The direction of the inequality is reversed.
2sqrt6

35. Pi is a ratio of what to what?

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36. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
1
A grouping of the members within a set based on a shared characteristic.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Members or elements

37. sqrt 2(sqrt 6)=
Sqrt 12
An expression with just one term (-6x - 2a^2)
28. n = 8 - k = 2. n! / k!(n-k)!
A = I (1 + rt)

38. Legs: 3 - 4. Hypotenuse?
1
1/2 times 7/3
90pi
5

39. x^4 + x^7 =
12.5%
1/(x^y)
1.0843 X 10^11
x^(4+7) = x^11

40. 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?
The second graph is less steep.
75:11
Indeterminable.
N! / (k!)(n-k)!

41. 7/8 in percent?
3
87.5%
A tangent is a line that only touches one point on the circumference of a circle.
Angle/360 x (pi)r^2

42. Factor x^2 - xy + x.
(a - b)(a + b)
11 - 13 - 17 - 19
1.7
x(x - y + 1)

43. Order of quadrants:
13pi / 2
4a^2(b)
The set of elements which can be found in either A or B.
From northeast - counterclockwise. I - II - III - IV

44. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
The interesection of A and B.
13pi / 2
Two equal sides and two equal angles.

45. What are the roots of the quadrinomial x^2 + 2x + 1?
A reflection about the origin.
The two xes after factoring.
Area of the base X height = (pi)hr^2
87.5%

46. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
2^9 / 2 = 256
A reflection about the axis.
F(x) - c

47. a^2 - 2ab + b^2
(a - b)^2
8
The overlapping sections.
2(pi)r^2 + 2(pi)rh

48. Define an 'expression'.
Angle/360 x 2(pi)r
Divide by 100.
A reflection about the axis.
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)

49. Which quandrant is the lower right hand?
3/2 - 5/3
(a - b)(a + b)
IV
II

50. What percent of 40 is 22?
The two xes after factoring.
9 & 6/7
4096
55%