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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 chord is a line segment joining two points on a circle.
Cd
83.333%
2^9 / 2 = 256

2. Which is greater? 27^(-4) or 9^(-8)
4725
27^(-4)
41 - 43 - 47
Two equal sides and two equal angles.

3. Which quandrant is the lower right hand?
(b + c)
IV
The objects within a set.
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)

4. 413.03 x 10^(-4) =
A set with no members - denoted by a circle with a diagonal through it.
A = pi(r^2)
413.03 / 10^4 (move the decimal point 4 places to the left)
Yes. [i.e. f(x) = x^2 - 1

5. What are the irrational numbers?

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6. What is the ratio of the sides of an isosceles right triangle?
1/a^6
10
1:1:sqrt2
A chord is a line segment joining two points on a circle.

7. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
(n-2) x 180
The direction of the inequality is reversed.
1:1:sqrt2
90

8. How many sides does a hexagon have?
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)
6
x^(2(4)) =x^8 = (x^4)^2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

9. What is the 'domain' of a function?
72
Lies opposite the greater angle
The set of input values for a function.
5 OR -5

10. What are the smallest three prime numbers greater than 65?
Undefined
4a^2(b)
Part = Percent X Whole
67 - 71 - 73

11. 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)
2^9 / 2 = 256
4.25 - 6 - 22
Yes - like radicals can be added/subtracted.
An infinite set.

12. What is the slope of a horizontal line?
0
A set with no members - denoted by a circle with a diagonal through it.
4:5
1/(x^y)

13. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
27^(-4)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
12! / 5!7! = 792
10! / (10-3)! = 720

14. What is an arc of a circle?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
6
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
An arc is a portion of a circumference of a circle.

15. 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
(a + b)^2
75:11

16. Formula for the area of a circle?
6 : 1 : 2
28. n = 8 - k = 2. n! / k!(n-k)!
A = pi(r^2)
Area of the base X height = (pi)hr^2

17. The ratio of the areas of two similar polygons is ...
C = (pi)d
.0004809 X 10^11
16.6666%
... the square of the ratios of the corresponding sides.

18. Which quadrant is the upper right hand?
I
4:5
3
A = pi(r^2)

19. 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)?
y = (x + 5)/2
Two angles whose sum is 90.
x^(6-3) = x^3
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

20. Circumference of a circle?
Diameter(Pi)
Undefined - because we can'T divide by 0.
83.333%
N! / (k!)(n-k)!

21. Pi is a ratio of what to what?

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22. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
6 : 1 : 2
6
An arc is a portion of a circumference of a circle.
28. n = 8 - k = 2. n! / k!(n-k)!

23. a^0 =
1
The curve opens upward and the vertex is the minimal point on the graph.
2sqrt6
1:sqrt3:2

24. The objects in a set are called two names:
The steeper the slope.
Members or elements
x^(4+7) = x^11
(b + c)

25. 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.
... the square of the ratios of the corresponding sides.
7 / 1000
A central angle is an angle formed by 2 radii.

26. What is the surface area of a cylinder with radius 5 and height 8?
130pi
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
2sqrt6
441000 = 1 10 10 10 21 * 21

27. 20<all primes<30
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
0
The curve opens downward and the vertex is the maximum point on the graph.
23 - 29

28. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
All numbers multiples of 1.
Two equal sides and two equal angles.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

29. 50 < all primes< 60
The union of A and B.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
53 - 59
90pi

30. The slope of a line perpendicular to (a/b)?
Its negative reciprocal. (-b/a)
413.03 / 10^4 (move the decimal point 4 places to the left)
F(x) + c
F(x) - c

31. Formula to find a circle'S circumference from its radius?
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...
C = 2(pi)r
Undefined
Its divisible by 2 and by 3.

32. x^2 = 9. What is the value of x?
The two xes after factoring.
The objects within a set.
3 - -3
53 - 59

33. What is the maximum value for the function g(x) = (-2x^2) -1?
A = pi(r^2)
31 - 37
1
180 degrees

34. How to find the area of a sector?
(b + c)
Angle/360 x (pi)r^2
F(x-c)
When the function is not defined for all real numbers -; only a subset of the real numbers.

35. 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).
6
A = pi(r^2)
12.5%

36. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
.0004809 X 10^11
Two angles whose sum is 180.
The shortest arc between points A and B on a circle'S diameter.

37. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
61 - 67
Its negative reciprocal. (-b/a)
The point of intersection of the systems.

38. sqrt 2(sqrt 6)=
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1
1
Sqrt 12

39. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
x= (1.2)(.8)lw
2^9 / 2 = 256
23 - 29

40. Number of degrees in a triangle
180
72
Its negative reciprocal. (-b/a)
x= (1.2)(.8)lw

41. What is a tangent?
y = (x + 5)/2
4.25 - 6 - 22
2 & 3/7
A tangent is a line that only touches one point on the circumference of a circle.

42. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
4:5
.0004809 X 10^11
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
8

43. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
13pi / 2
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A circle centered at -2 - -2 with radius 3.
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

44. What is a parabola?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
(b + c)
31 - 37
Ax^2 + bx + c where a -b and c are constants and a /=0

45. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
(n-2) x 180
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
5 OR -5

46. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
2
90 degrees
4a^2(b)

47. What is an isoceles triangle?
62.5%
500
Two equal sides and two equal angles.
(a - b)(a + b)

48. 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
2^9 / 2 = 256
37.5%
x^(2(4)) =x^8 = (x^4)^2

49. Formula to calculate arc length?
10
Arc length = (n/360) x pi(2r) where n is the number of degrees.
True
The direction of the inequality is reversed.

50. 8.84 / 5.2
12.5%
1.7
10
A set with a number of elements which can be counted.