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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. Can you simplify sqrt72?
(base*height) / 2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The interesection of A and B.
1:1:sqrt2

2. 1/2 divided by 3/7 is the same as
An expression with just one term (-6x - 2a^2)
1/2 times 7/3
The empty set - denoted by a circle with a diagonal through it.
The third side is greater than the difference and less than the sum.

3. Evaluate 4/11 + 11/12
Move the decimal point to the right x places
67 - 71 - 73
Two angles whose sum is 180.
1 & 37/132

4. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
72
87.5%
(a + b)^2
A 30-60-90 triangle.

5. A number is divisible by 6 if...
Its divisible by 2 and by 3.
12sqrt2
Sqrt 12
The third side is greater than the difference and less than the sum.

6. Pi is a ratio of what to what?

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7. The objects in a set are called two names:
A set with a number of elements which can be counted.
The two xes after factoring.
Members or elements
130pi

8. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
Undefined
1
Its negative reciprocal. (-b/a)

9. Formula of rectangle where l increases by 20% and w decreases by 20%
13pi / 2
x= (1.2)(.8)lw
2.592 kg
7 / 1000

10. What is a piecewise equation?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
2sqrt6
All numbers multiples of 1.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

11. (12sqrt15) / (2sqrt5) =
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Undefined
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
67 - 71 - 73

12. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
87.5%
C = 2(pi)r
Pi is the ratio of a circle'S circumference to its diameter.

13. 3/8 in percent?
Part = Percent X Whole
No - the input value has exactly one output.
Sector area = (n/360) X (pi)r^2
37.5%

14. Which quadrant is the lower left hand?
The longest arc between points A and B on a circle'S diameter.
Two angles whose sum is 90.
(a + b)^2
III

15. 2sqrt4 + sqrt4 =
72
10! / 3!(10-3)! = 120
3sqrt4
6

16. x^4 + x^7 =
130pi
x^(4+7) = x^11
72
441000 = 1 10 10 10 21 * 21

17. What does the graph x^2 + y^2 = 64 look like?
Indeterminable.
71 - 73 - 79
A circle centered on the origin with radius 8.
2sqrt6

18. (6sqrt3) x (2sqrt5) =
The empty set - denoted by a circle with a diagonal through it.
0
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
9 : 25

19. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
Its negative reciprocal. (-b/a)
A reflection about the origin.
A chord is a line segment joining two points on a circle.
1.0843 X 10^11

20. What is the graph of f(x) shifted downward c units or spaces?
1.7
F(x) - c
Sqrt 12
90

21. What is the 'Restricted domain of a function'?
An infinite set.
3sqrt4
The steeper the slope.
When the function is not defined for all real numbers -; only a subset of the real numbers.

22. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
The set of elements found in both A and B.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Angle/360 x (pi)r^2
2sqrt6

23. What is the ratio of the sides of an isosceles right triangle?
When the function is not defined for all real numbers -; only a subset of the real numbers.
Two equal sides and two equal angles.
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
1:1:sqrt2

24. What is a central angle?
52
18
A central angle is an angle formed by 2 radii.
500

25. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
87.5%
...multiply by 100.
12sqrt2

26. 5/8 in percent?
62.5%
The empty set - denoted by a circle with a diagonal through it.
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)
(n-2) x 180

27. What is a set with no members called?
0
11 - 13 - 17 - 19
The empty set - denoted by a circle with a diagonal through it.
F(x) - c

28. Can you subtract 3sqrt4 from sqrt4?
1/a^6
F(x-c)
75:11
Yes - like radicals can be added/subtracted.

29. What is the percent formula?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The point of intersection of the systems.
Part = Percent X Whole
An infinite set.

30. What are the integers?
70
A 30-60-90 triangle.
... the square of the ratios of the corresponding sides.
All numbers multiples of 1.

31. Is 0 even or odd?
Indeterminable.
9 : 25
Even
F(x + c)

32. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
1
10! / (10-3)! = 720
(a - b)(a + b)

33. What are the roots of the quadrinomial x^2 + 2x + 1?
71 - 73 - 79
0
The two xes after factoring.
The steeper the slope.

34. What is the set of elements which can be found in either A or B?
3
An infinite set.
A reflection about the origin.
The union of A and B.

35. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
N! / (k!)(n-k)!
Move the decimal point to the right x places
1

36. 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))?
20.5
The set of elements which can be found in either A or B.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
III

37. Factor x^2 - xy + x.
An infinite set.
0
x(x - y + 1)
2.592 kg

38. Simplify the expression (p^2 - q^2)/ -5(q - p)
The steeper the slope.
(p + q)/5
Even
Its last two digits are divisible by 4.

39. How to find the diagonal of a rectangular solid?
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.
x^(4+7) = x^11
Undefined - because we can'T divide by 0.

40. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
2.592 kg
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.
Part = Percent X Whole
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

41. A number is divisible by 4 is...
Its last two digits are divisible by 4.
90 degrees
...multiply by 100.
83.333%

42. Which quadrant is the upper right hand?
I
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Yes. [i.e. f(x) = x^2 - 1
The curve opens downward and the vertex is the maximum point on the graph.

43. a^2 - b^2
4725
(a - b)(a + b)
C = (pi)d
71 - 73 - 79

44. Reduce: 4.8 : 0.8 : 1.6
Relationship cannot be determined (what if x is negative?)
6 : 1 : 2
3sqrt4
y = (x + 5)/2

45. (x^2)^4
(base*height) / 2
The shortest arc between points A and B on a circle'S diameter.
41 - 43 - 47
x^(2(4)) =x^8 = (x^4)^2

46. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
90
4725
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

47. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
4725
C = 2(pi)r
No - only like radicals can be added.

48. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Move the decimal point to the right x places
Undefined - because we can'T divide by 0.
x(x - y + 1)

49. 20<all primes<30
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
11 - 13 - 17 - 19
2^9 / 2 = 256
23 - 29

50. 60 < all primes <70
61 - 67
(n-2) x 180
13pi / 2
3sqrt4

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GRE Math: Common Errors

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