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GRE Math: Common Errors

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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 'Range' of a series of numbers?
2 & 3/7
The greatest value minus the smallest.
3
12sqrt2

2. Which quadrant is the upper left hand?
.0004809 X 10^11
II
The second graph is less steep.
The sum of digits is divisible by 9.

3. What is the area of a regular hexagon with side 6?
2.592 kg
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

4. What is the order of operations?
The greatest value minus the smallest.
5 OR -5
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Two equal sides and two equal angles.

5. Formula to find a circle'S circumference from its diameter?
A set with a number of elements which can be counted.
3
II
C = (pi)d

6. The larger the absolute value of the slope...
An isosceles right triangle.
The steeper the slope.
10! / (10-3)! = 720
An arc is a portion of a circumference of a circle.

7. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Triangles with same measure and same side lengths.
27^(-4)
70
Two angles whose sum is 180.

8. What is the 'Restricted domain of a function'?
A circle centered at -2 - -2 with radius 3.
61 - 67
3sqrt4
When the function is not defined for all real numbers -; only a subset of the real numbers.

9. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
1
8
Two angles whose sum is 180.
The greatest value minus the smallest.

10. 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 output values for a function.
Pi is the ratio of a circle'S circumference to its diameter.
Members or elements

11. Convert 0.7% to a fraction.
Cd
7 / 1000
1
Pi is the ratio of a circle'S circumference to its diameter.

12. How many 3-digit positive integers are even and do not contain the digit 4?
A chord is a line segment joining two points on a circle.
288 (8 9 4)
67 - 71 - 73
1

13. How to find the area of a sector?
Angle/360 x (pi)r^2
8
2
Part = Percent X Whole

14. (6sqrt3) x (2sqrt5) =
53 - 59
Area of the base X height = (pi)hr^2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The sum of digits is divisible by 9.

15. x^4 + x^7 =
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
An angle which is supplementary to an interior angle.
x^(4+7) = x^11
413.03 / 10^4 (move the decimal point 4 places to the left)

16. What are the real numbers?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
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)
1

17. What is the measure of an exterior angle of a regular pentagon?
The third side is greater than the difference and less than the sum.
72
A circle centered on the origin with radius 8.
12.5%

18. 0^0
1
Divide by 100.
(a + b)^2
Undefined

19. x^6 / x^3
12.5%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
G(x) = {x}
x^(6-3) = x^3

20. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
31 - 37
A = pi(r^2)
11 - 13 - 17 - 19

21. Order of quadrants:
The direction of the inequality is reversed.
An angle which is supplementary to an interior angle.
From northeast - counterclockwise. I - II - III - IV
$3 -500 in the 9% and $2 -500 in the 7%.

22. What is a central angle?
8
A central angle is an angle formed by 2 radii.
True
1

23. A number is divisible by 6 if...
4a^2(b)
Its negative reciprocal. (-b/a)
Its divisible by 2 and by 3.
72

24. 2sqrt4 + sqrt4 =
3sqrt4
67 - 71 - 73
Angle/360 x (pi)r^2
(amount of decrease/original price) x 100%

25. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
A central angle is an angle formed by 2 radii.
1
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
x^(4+7) = x^11

26. What is the name for a grouping of the members within a set based on a shared characteristic?
An isosceles right triangle.
18
1:sqrt3:2
A subset.

27. 413.03 x 10^(-4) =
1
413.03 / 10^4 (move the decimal point 4 places to the left)
Indeterminable.
5

28. 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?
48
The set of output values for a function.
4.25 - 6 - 22
(a + b)^2

29. How to find the diagonal of a rectangular solid?
An angle which is supplementary to an interior angle.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
F(x) + c
5

30. What are the members or elements of a set?
Its divisible by 2 and by 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.
The objects within a set.
83.333%

31. P and r are factors of 100. What is greater - pr or 100?
Pi is the ratio of a circle'S circumference to its diameter.
The set of elements which can be found in either A or B.
An expression with just one term (-6x - 2a^2)
Indeterminable.

32. Formula to find a circle'S circumference from its radius?
Triangles with same measure and same side lengths.
Its last two digits are divisible by 4.
90
C = 2(pi)r

33. 3/8 in percent?
A = pi(r^2)
The greatest value minus the smallest.
II
37.5%

34. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
1 & 37/132
Undefined
2sqrt6

35. (-1)^2 =
An isosceles right triangle.
1
(b + c)
x^(2(4)) =x^8 = (x^4)^2

36. Evaluate (4^3)^2
F(x-c)
1/(x^y)
4096
N! / (k!)(n-k)!

37. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
A grouping of the members within a set based on a shared characteristic.
The objects within a set.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
6 : 1 : 2

38. 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?
N! / (n-k)!
83.333%
An arc is a portion of a circumference of a circle.
Sector area = (n/360) X (pi)r^2

39. (-1)^3 =
28. n = 8 - k = 2. n! / k!(n-k)!
1
67 - 71 - 73
1.7

40. What number between 70 & 75 - inclusive - has the greatest number of factors?
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)
28. n = 8 - k = 2. n! / k!(n-k)!
72
10

41. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Yes - like radicals can be added/subtracted.
1
Its last two digits are divisible by 4.
Move the decimal point to the right x places

42. 1/6 in percent?
16.6666%
The second graph is less steep.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
No - the input value has exactly one output.

43. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
A reflection about the axis.
(b + c)
1:sqrt3:2

44. Surface area for a cylinder?
41 - 43 - 47
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
2(pi)r^2 + 2(pi)rh
All numbers multiples of 1.

45. What is the surface area of a cylinder with radius 5 and height 8?
10
The set of elements which can be found in either A or B.
Its negative reciprocal. (-b/a)
130pi

46. What is the set of elements found in both A and B?
72
The interesection of A and B.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
13pi / 2

47. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
I
1
1.7
11 - 13 - 17 - 19

48. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
Yes - like radicals can be added/subtracted.
Undefined - because we can'T divide by 0.
28. n = 8 - k = 2. n! / k!(n-k)!
53 - 59

49. (x^2)^4
23 - 29
1/a^6
x^(2(4)) =x^8 = (x^4)^2
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)

50. Which quadrant is the upper right hand?
The set of elements which can be found in either A or B.
12! / 5!7! = 792
I
N! / (k!)(n-k)!

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GRE Math: Common Errors

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