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GRE Math: Common Errors

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

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 chord of a circle?
A tangent is a line that only touches one point on the circumference of a circle.
Even
A chord is a line segment joining two points on a circle.
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...

2. What is the set of elements which can be found in either A or B?
2
4096
A set with a number of elements which can be counted.
The union of A and B.

3. Legs: 3 - 4. Hypotenuse?
500
Move the decimal point to the right x places
5
The direction of the inequality is reversed.

4. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
1.0843 X 10^11
Move the decimal point to the right x places
$11 -448
1/(x^y)

5. What is a piecewise equation?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Infinite.
13pi / 2
x= (1.2)(.8)lw

6. What is a finite set?
A set with a number of elements which can be counted.
0
(p + q)/5
27^(-4)

7. What is the slope of a horizontal line?
Part = Percent X Whole
II
0
2sqrt6

8. 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?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
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
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Two equal sides and two equal angles.

9. 0^0
Undefined
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
An isosceles right triangle.
1/(x^y)

10. 5/6 in percent?
41 - 43 - 47
83.333%
Yes - like radicals can be added/subtracted.
1

11. Which quadrant is the upper right hand?
Two angles whose sum is 180.
2
I
The steeper the slope.

12. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
True
41 - 43 - 47
1
4096

13. Which quandrant is the lower right hand?
(amount of decrease/original price) x 100%
C = 2(pi)r
IV
The set of elements found in both A and B.

14. Which is greater? 27^(-4) or 9^(-8)
55%
1
27^(-4)
A = pi(r^2)

15. The slope of a line perpendicular to (a/b)?
N! / (k!)(n-k)!
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
31 - 37
Its negative reciprocal. (-b/a)

16. 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?
(a - b)^2
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
9 : 25
27^(-4)

17. What is a central angle?
4a^2(b)
A central angle is an angle formed by 2 radii.
Part = Percent X Whole
A tangent is a line that only touches one point on the circumference of a circle.

18. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
(a - b)(a + b)
2.592 kg
2^9 / 2 = 256
From northeast - counterclockwise. I - II - III - IV

19. How many multiples does a given number have?
Infinite.
.0004809 X 10^11
(p + q)/5
Its negative reciprocal. (-b/a)

20. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
IV
$11 -448
1
0

21. Simplify 9^(1/2) X 4^3 X 2^(-6)?
F(x + c)
The objects within a set.
3
True

22. A number is divisible by 9 if...
Sector area = (n/360) X (pi)r^2
9 & 6/7
2.592 kg
The sum of digits is divisible by 9.

23. What is an arc of a circle?
4725
An arc is a portion of a circumference of a circle.
Undefined - because we can'T divide by 0.
x^(6-3) = x^3

24. What is the sum of the angles of a triangle?
y = 2x^2 - 3
F(x-c)
Diameter(Pi)
180 degrees

25. Write 10 -843 X 10^7 in scientific notation
6 : 1 : 2
71 - 73 - 79
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
1.0843 X 10^11

26. 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?
The steeper the slope.
2.592 kg
(amount of increase/original price) x 100%
3sqrt4

27. Can you simplify sqrt72?
Two angles whose sum is 90.
Its negative reciprocal. (-b/a)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The third side is greater than the difference and less than the sum.

28. (x^2)^4
1:1:sqrt2
The objects within a set.
A reflection about the origin.
x^(2(4)) =x^8 = (x^4)^2

29. What is the set of elements found in both A and B?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
55%
Two angles whose sum is 180.
The interesection of A and B.

30. What is the formula for compounded interest?
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.
2(pi)r^2 + 2(pi)rh
All numbers multiples of 1.
Its last two digits are divisible by 4.

31. How many 3-digit positive integers are even and do not contain the digit 4?
Two equal sides and two equal angles.
288 (8 9 4)
Sector area = (n/360) X (pi)r^2
Part = Percent X Whole

32. Evaluate 4/11 + 11/12
x^(6-3) = x^3
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
(base*height) / 2
1 & 37/132

33. 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?
y = 2x^2 - 3
10
8
1.7

34. Which quadrant is the upper left hand?
1/2 times 7/3
II
.0004809 X 10^11
F(x) + c

35. (a^-1)/a^5
1/a^6
III
41 - 43 - 47
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

36. Whats the difference between factors and multiples?
3 - -3
The union of A and B.
Cd
Factors are few - multiples are many.

37. What is a minor arc?

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38. 50 < all primes< 60
53 - 59
90
The steeper the slope.
3

39. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
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.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
70
7 / 1000

40. (-1)^3 =
A set with no members - denoted by a circle with a diagonal through it.
1
The sum of digits is divisible by 9.
6 : 1 : 2

41. 60 < all primes <70
61 - 67
6
2(pi)r^2 + 2(pi)rh
90 degrees

42. What is the 'Restricted domain of a function'?
C = 2(pi)r
x(x - y + 1)
(p + q)/5
When the function is not defined for all real numbers -; only a subset of the real numbers.

43. When the 'a' in a parabola is positive....
(a - b)(a + b)
413.03 / 10^4 (move the decimal point 4 places to the left)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The curve opens upward and the vertex is the minimal point on the graph.

44. When the 'a' in the parabola is negative...
The second graph is less steep.
The curve opens downward and the vertex is the maximum point on the graph.
2^9 / 2 = 256
90 degrees

45. To convert a decimal to a percent...
...multiply by 100.
8
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
288 (8 9 4)

46. The perimeter of a square is 48 inches. The length of its diagonal is:
(b + c)
The point of intersection of the systems.
12sqrt2
2(pi)r^2 + 2(pi)rh

47. What is the ratio of the sides of an isosceles right triangle?
180 degrees
1:1:sqrt2
A central angle is an angle formed by 2 radii.
C = 2(pi)r

48. 7/8 in percent?
87.5%
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...
Diameter(Pi)
12sqrt2

49. 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?
N! / (k!)(n-k)!
True
1
A set with a number of elements which can be counted.

50. What are the roots of the quadrinomial x^2 + 2x + 1?
1
67 - 71 - 73
The two xes after factoring.
N! / (n-k)!