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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. 6w^2 - w - 15 = 0
3/2 - 5/3
The curve opens upward and the vertex is the minimal point on the graph.
I
Pi is the ratio of a circle'S circumference to its diameter.

2. Legs 6 - 8. Hypotenuse?
8
10
70
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

3. sqrt 2(sqrt 6)=
y = (x + 5)/2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Angle/360 x 2(pi)r
Sqrt 12

4. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
(a - b)(a + b)
23 - 29
1 & 37/132

5. Legs: 3 - 4. Hypotenuse?
5
2 & 3/7
Undefined - because we can'T divide by 0.
A subset.

6. 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))?
.0004809 X 10^11
41 - 43 - 47
20.5
A = I (1 + rt)

7. What is a subset?
3
Its last two digits are divisible by 4.
A grouping of the members within a set based on a shared characteristic.
4:5

8. What is a tangent?
The sum of its digits is divisible by 3.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A tangent is a line that only touches one point on the circumference of a circle.
Angle/360 x 2(pi)r

9. A number is divisible by 3 if ...
(a - b)(a + b)
The sum of its digits is divisible by 3.
13pi / 2
True

10. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
Two angles whose sum is 90.
$3 -500 in the 9% and $2 -500 in the 7%.
Ax^2 + bx + c where a -b and c are constants and a /=0
Undefined

11. Which is greater? 64^5 or 16^8
An infinite set.
From northeast - counterclockwise. I - II - III - IV
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
55%

12. What are congruent triangles?
Triangles with same measure and same side lengths.
Area of the base X height = (pi)hr^2
41 - 43 - 47
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

13. 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
II
18
5
4:5

14. What is the 'domain' of a function?
Its divisible by 2 and by 3.
No - the input value has exactly one output.
An infinite set.
The set of input values for a function.

15. 25^(1/2) or sqrt. 25 =
9 : 25
55%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
5 OR -5

16. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
1
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Indeterminable.

17. What are the rational numbers?
67 - 71 - 73
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The set of input values for a function.
The second graph is less steep.

18. The perimeter of a square is 48 inches. The length of its diagonal is:
1/a^6
75:11
12sqrt2
71 - 73 - 79

19. What does the graph x^2 + y^2 = 64 look like?
x^(2(4)) =x^8 = (x^4)^2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Angle/360 x 2(pi)r
A circle centered on the origin with radius 8.

20. 2sqrt4 + sqrt4 =
130pi
F(x) + c
3sqrt4
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

21. a^2 - 2ab + b^2
(p + q)/5
(a - b)^2
2sqrt6
III

22. What is the slope of a horizontal line?
y = (x + 5)/2
0
180
Sector area = (n/360) X (pi)r^2

23. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
9 : 25
The steeper the slope.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

24. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
I
x^(6-3) = x^3
71 - 73 - 79

25. Order of quadrants:
Its negative reciprocal. (-b/a)
The overlapping sections.
II
From northeast - counterclockwise. I - II - III - IV

26. To convert a decimal to a percent...
...multiply by 100.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1
A set with a number of elements which can be counted.

27. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
The overlapping sections.
N! / (k!)(n-k)!
x^(2(4)) =x^8 = (x^4)^2

28. 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?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The set of elements which can be found in either A or B.
3sqrt4
N! / (k!)(n-k)!

29. Whats the difference between factors and multiples?
Yes - like radicals can be added/subtracted.
Yes. [i.e. f(x) = x^2 - 1
Factors are few - multiples are many.
6 : 1 : 2

30. How many multiples does a given number have?
Infinite.
F(x + c)
C = (pi)d
9 : 25

31. What are the irrational numbers?

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32. How to find the area of a sector?
The sum of digits is divisible by 9.
5 OR -5
Angle/360 x 2(pi)r
Angle/360 x (pi)r^2

33. 0^0
Undefined
y = 2x^2 - 3
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A grouping of the members within a set based on a shared characteristic.

34. What is a minor arc?

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35. 8.84 / 5.2
(base*height) / 2
10
1.7
Yes - like radicals can be added/subtracted.

36. 20<all primes<30
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
23 - 29
(base*height) / 2
16.6666%

37. Convert 0.7% to a fraction.
$3 -500 in the 9% and $2 -500 in the 7%.
0
7 / 1000
C = (pi)d

38. If an inequality is multiplied or divided by a negative number....
The union of A and B.
1:sqrt3:2
The direction of the inequality is reversed.
72

39. 1/2 divided by 3/7 is the same as
4:5
Cd
1/2 times 7/3
The third side is greater than the difference and less than the sum.

40. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
2
8
28. n = 8 - k = 2. n! / k!(n-k)!

41. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1
The direction of the inequality is reversed.

42. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
1/(x^y)
180 degrees
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)
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

43. Is 0 even or odd?
The set of input values for a function.
Even
No - only like radicals can be added.
.0004809 X 10^11

44. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Angle/360 x 2(pi)r
Even

45. P and r are factors of 100. What is greater - pr or 100?
(a + b)^2
Indeterminable.
55%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

46. (6sqrt3) x (2sqrt5) =
Arc length = (n/360) x pi(2r) where n is the number of degrees.
2^9 / 2 = 256
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
3

47. a^0 =
... the square of the ratios of the corresponding sides.
1
4:5
x(x - y + 1)

48. What is the area of a regular hexagon with side 6?
C = 2(pi)r
(b + c)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Two angles whose sum is 90.

49. Area of a triangle?
When the function is not defined for all real numbers -; only a subset of the real numbers.
The direction of the inequality is reversed.
y = 2x^2 - 3
(base*height) / 2

50. What is the name of set with a number of elements which cannot be counted?
3sqrt4
An infinite set.
1.7
180

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GRE Math: Common Errors

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