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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. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
3/2 - 5/3
1
x= (1.2)(.8)lw

2. (-1)^3 =
The curve opens upward and the vertex is the minimal point on the graph.
(n-2) x 180
A 30-60-90 triangle.
1

3. What are the irrational numbers?

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4. What is the side length of an equilateral triangle with altitude 6?
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...
The set of elements which can be found in either A or B.
1:sqrt3:2
90 degrees

5. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
x(x - y + 1)
From northeast - counterclockwise. I - II - III - IV
(a - b)(a + b)

6. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
The point of intersection of the systems.
A circle centered at -2 - -2 with radius 3.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
3/2 - 5/3

7. To convert a decimal to a percent...
The shortest arc between points A and B on a circle'S diameter.
...multiply by 100.
Its divisible by 2 and by 3.
4096

8. 50 < all primes< 60
The sum of digits is divisible by 9.
413.03 / 10^4 (move the decimal point 4 places to the left)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
53 - 59

9. Surface area for a cylinder?
2(pi)r^2 + 2(pi)rh
Its negative reciprocal. (-b/a)
83.333%
1/a^6

10. What is the formula for computing simple interest?
A = I (1 + rt)
Move the decimal point to the right x places
.0004809 X 10^11
x(x - y + 1)

11. Can you subtract 3sqrt4 from sqrt4?
Triangles with same measure and same side lengths.
72
Yes - like radicals can be added/subtracted.
The set of elements which can be found in either A or B.

12. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
Even
1/(x^y)
Move the decimal point to the right x places

13. How to find the area of a sector?
C = 2(pi)r
... the square of the ratios of the corresponding sides.
Angle/360 x (pi)r^2
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

14. 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?
Angle/360 x 2(pi)r
The steeper the slope.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
$3 -500 in the 9% and $2 -500 in the 7%.

15. What is an exterior angle?
An angle which is supplementary to an interior angle.
The sum of its digits is divisible by 3.
10! / (10-3)! = 720
The greatest value minus the smallest.

16. Order of quadrants:
From northeast - counterclockwise. I - II - III - IV
An arc is a portion of a circumference of a circle.
1
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

17. Which quadrant is the lower left hand?
III
71 - 73 - 79
1/2 times 7/3
I

18. 2sqrt4 + sqrt4 =
Ax^2 + bx + c where a -b and c are constants and a /=0
441000 = 1 10 10 10 21 * 21
The objects within a set.
3sqrt4

19. a^2 - b^2 =
(a - b)(a + b)
Two angles whose sum is 90.
Infinite.
(a - b)^2

20. The ratio of the areas of two similar polygons is ...
75:11
1
... the square of the ratios of the corresponding sides.
y = 2x^2 - 3

21. What are the smallest three prime numbers greater than 65?
18
The empty set - denoted by a circle with a diagonal through it.
67 - 71 - 73
5

22. The objects in a set are called two names:
12! / 5!7! = 792
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Members or elements
The objects within a set.

23. What are complementary angles?
The shortest arc between points A and B on a circle'S diameter.
Two angles whose sum is 90.
(b + c)
1/(x^y)

24. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
41 - 43 - 47
1
The objects within a set.
$11 -448

25. What are congruent triangles?
10! / (10-3)! = 720
Triangles with same measure and same side lengths.
.0004809 X 10^11
0

26. What are 'Supplementary angles?'
Two angles whose sum is 180.
(n-2) x 180
x= (1.2)(.8)lw
An expression with just one term (-6x - 2a^2)

27. What are the integers?
Area of the base X height = (pi)hr^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
All numbers multiples of 1.
6 : 1 : 2

28. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
Divide by 100.
Lies opposite the greater angle
Its last two digits are divisible by 4.

29. Which is greater? 200x^295 or 10x^294?
Its last two digits are divisible by 4.
C = (pi)d
When the function is not defined for all real numbers -; only a subset of the real numbers.
Relationship cannot be determined (what if x is negative?)

30. (12sqrt15) / (2sqrt5) =
Sqrt 12
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
IV
Move the decimal point to the right x places

31. Evaluate 4/11 + 11/12
5
1 & 37/132
Two equal sides and two equal angles.
87.5%

32. 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?
(a - b)^2
Area of the base X height = (pi)hr^2
N! / (n-k)!
An angle which is supplementary to an interior angle.

33. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Sector area = (n/360) X (pi)r^2
Pi is the ratio of a circle'S circumference to its diameter.
8

34. How to find the diagonal of a rectangular solid?
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.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Undefined
37.5%

35. 1/6 in percent?
x^(2(4)) =x^8 = (x^4)^2
16.6666%
Undefined - because we can'T divide by 0.
288 (8 9 4)

36. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
1:1:sqrt2
4.25 - 6 - 22
The empty set - denoted by a circle with a diagonal through it.
37.5%

37. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
5 OR -5
90
y = (x + 5)/2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

38. If an inequality is multiplied or divided by a negative number....
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.
6
The direction of the inequality is reversed.
The interesection of A and B.

39. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
The steeper the slope.
1/2 times 7/3
C = 2(pi)r

40. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
10
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
28. n = 8 - k = 2. n! / k!(n-k)!
The curve opens downward and the vertex is the maximum point on the graph.

41. Formula for the area of a circle?
A = pi(r^2)
28. n = 8 - k = 2. n! / k!(n-k)!
70
Sqrt 12

42. (-1)^2 =
3sqrt4
1:1:sqrt2
1
The set of input values for a function.

43. Legs: 3 - 4. Hypotenuse?
x^(2(4)) =x^8 = (x^4)^2
90
A grouping of the members within a set based on a shared characteristic.
5

44. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
3sqrt4
G(x) = {x}
5

45. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
The direction of the inequality is reversed.
13pi / 2
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)
F(x + c)

46. How many multiples does a given number have?
$3 -500 in the 9% and $2 -500 in the 7%.
IV
3sqrt4
Infinite.

47. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
$3 -500 in the 9% and $2 -500 in the 7%.
G(x) = {x}
10! / 3!(10-3)! = 120
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

48. What is a minor arc?

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49. To convert a percent to a fraction....
Divide by 100.
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...
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
N! / (k!)(n-k)!

50. 6w^2 - w - 15 = 0
(p + q)/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
3/2 - 5/3
Part = Percent X Whole

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GRE Math: Common Errors

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