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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 a subset?
Diameter(Pi)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
90 degrees
A grouping of the members within a set based on a shared characteristic.

2. (12sqrt15) / (2sqrt5) =
Its divisible by 2 and by 3.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
4096
A= I (1 + (r/c))^tC - where I is the investment - C is the number of times compounded annually - and t is the number of years.

3. What is the set of elements found in both A and B?
The interesection of A and B.
2(pi)r^2 + 2(pi)rh
A set with no members - denoted by a circle with a diagonal through it.
Diameter(Pi)

4. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
23 - 29
500
The steeper the slope.
A circle centered at -2 - -2 with radius 3.

5. What is the 'Restricted domain of a function'?
27^(-4)
An infinite set.
Ax^2 + bx + c where a -b and c are constants and a /=0
When the function is not defined for all real numbers -; only a subset of the real numbers.

6. What is the intersection of A and B?
The second graph is less steep.
10! / (10-3)! = 720
52
The set of elements found in both A and B.

7. What is the 'domain' of a function?
61 - 67
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)
18
The set of input values for a function.

8. What is the area of a regular hexagon with side 6?
1
20.5
The set of elements found in both A and B.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

9. Factor a^2 + 2ab + b^2
(a + b)^2
Yes. [i.e. f(x) = x^2 - 1
18
I

10. Whats the difference between factors and multiples?
48
83.333%
12.5%
Factors are few - multiples are many.

11. What is an exterior angle?
(a - b)(a + b)
An angle which is supplementary to an interior angle.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
2

12. What is the slope of a vertical line?

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13. Number of degrees in a triangle
A circle centered at -2 - -2 with radius 3.
180
A set with no members - denoted by a circle with a diagonal through it.
3sqrt4

14. Formula to calculate arc length?
(a - b)(a + b)
The overlapping sections.
All numbers multiples of 1.
Arc length = (n/360) x pi(2r) where n is the number of degrees.

15. Which quadrant is the upper left hand?
(base*height) / 2
II
The sum of its digits is divisible by 3.
12.5%

16. Which is greater? 64^5 or 16^8
Sector area = (n/360) X (pi)r^2
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
$11 -448

17. A number is divisible by 4 is...
288 (8 9 4)
Its last two digits are divisible by 4.
1:sqrt3:2
The two xes after factoring.

18. The perimeter of a square is 48 inches. The length of its diagonal is:
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
7 / 1000
x^(6-3) = x^3
12sqrt2

19. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
5 OR -5
Angle/360 x 2(pi)r
53 - 59

20. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
2 & 3/7
Angle/360 x 2(pi)r
10

21. 1/2 divided by 3/7 is the same as
1 & 37/132
1/2 times 7/3
61 - 67
75:11

22. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
An arc is a portion of a circumference of a circle.
13pi / 2
The third side is greater than the difference and less than the sum.

23. Which quandrant is the lower right hand?
10! / (10-3)! = 720
413.03 / 10^4 (move the decimal point 4 places to the left)
IV
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

24. What is a major arc?

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25. 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))?
5
52
The set of elements found in both A and B.
20.5

26. 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?
x^(2(4)) =x^8 = (x^4)^2
1/2 times 7/3
y = 2x^2 - 3
A = pi(r^2)

27. Max and Min lengths for a side of a triangle?
0
The third side is greater than the difference and less than the sum.
N! / (n-k)!
1

28. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
True
9 : 25
A 30-60-90 triangle.
The longest arc between points A and B on a circle'S diameter.

29. The slope of a line perpendicular to (a/b)?
II
The union of A and B.
The sum of digits is divisible by 9.
Its negative reciprocal. (-b/a)

30. Which is greater? 27^(-4) or 9^(-8)
A grouping of the members within a set based on a shared characteristic.
55%
27^(-4)
1:1:sqrt2

31. Simplify the expression (p^2 - q^2)/ -5(q - p)
Infinite.
(p + q)/5
Factors are few - multiples are many.
A circle centered on the origin with radius 8.

32. P and r are factors of 100. What is greater - pr or 100?
1
The two xes after factoring.
Indeterminable.
1 & 37/132

33. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
The second graph is less steep.
9 : 25
12! / 5!7! = 792
A reflection about the origin.

34. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(n-2) x 180
4:5
.0004809 X 10^11

35. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
An infinite set.
1:1:sqrt2
...multiply by 100.
8

36. (x^2)^4
Part = Percent X Whole
x^(2(4)) =x^8 = (x^4)^2
37.5%
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

37. Can you subtract 3sqrt4 from sqrt4?
8
12sqrt2
Yes - like radicals can be added/subtracted.
A grouping of the members within a set based on a shared characteristic.

38. What is a minor arc?

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39. 5/8 in percent?
(b + c)
62.5%
72
The set of elements which can be found in either A or B.

40. What is the formula for computing simple interest?
x^(6-3) = x^3
7 / 1000
The point of intersection of the systems.
A = I (1 + rt)

41. 30< all primes<40
Its negative reciprocal. (-b/a)
Yes - like radicals can be added/subtracted.
G(x) = {x}
31 - 37

42. 7/8 in percent?
1
An expression with just one term (-6x - 2a^2)
The steeper the slope.
87.5%

43. Circumference of a circle?
Diameter(Pi)
2 & 3/7
A reflection about the axis.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

44. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
31 - 37
F(x) - c
18
4a^2(b)

45. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Two angles whose sum is 90.
x^(4+7) = x^11
2sqrt6
1.0843 X 10^11

46. 5x^2 - 35x -55 = 0
Relationship cannot be determined (what if x is negative?)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
F(x) + c
x= (1.2)(.8)lw

47. Evaluate 4/11 + 11/12
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1 & 37/132
F(x) - c

48. What is the graph of f(x) shifted left c units or spaces?
52
53 - 59
Members or elements
F(x + c)

49. Define an 'expression'.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
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)
53 - 59
x^(6-3) = x^3

50. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
52
71 - 73 - 79
The set of elements which can be found in either A or B.
90

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GRE Math: Common Errors

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