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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. Length of an arc of a circle?
1:1:sqrt2
Angle/360 x 2(pi)r
The second graph is less steep.
x^(6-3) = x^3

2. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
2sqrt6
28. n = 8 - k = 2. n! / k!(n-k)!
61 - 67
1 & 37/132

3. 70 < all primes< 80
71 - 73 - 79
4.25 - 6 - 22
A circle centered on the origin with radius 8.
F(x) - c

4. A number is divisible by 4 is...
x(x - y + 1)
Its last two digits are divisible by 4.
(amount of increase/original price) x 100%
The third side is greater than the difference and less than the sum.

5. Volume for a cylinder?
5 OR -5
The greatest value minus the smallest.
Area of the base X height = (pi)hr^2
The set of input values for a function.

6. What is the 'Range' of a function?
The set of output values for a function.
1
A set with no members - denoted by a circle with a diagonal through it.
3

7. a^0 =
1
No - only like radicals can be added.
A = pi(r^2)
1:sqrt3:2

8. How many multiples does a given number have?
The union of A and B.
Infinite.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
An infinite set.

9. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
(base*height) / 2
x^(2(4)) =x^8 = (x^4)^2
2sqrt6

10. 7/8 in percent?
F(x-c)
1
Pi is the ratio of a circle'S circumference to its diameter.
87.5%

11. Which quandrant is the lower right hand?
IV
28. n = 8 - k = 2. n! / k!(n-k)!
9 : 25
Sqrt 12

12. What does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
3
Yes. [i.e. f(x) = x^2 - 1

13. Which is greater? 64^5 or 16^8
28. n = 8 - k = 2. n! / k!(n-k)!
No - the input value has exactly one output.
A set with no members - denoted by a circle with a diagonal through it.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

14. What is the graph of f(x) shifted right c units or spaces?
9 : 25
F(x-c)
4096
A circle centered on the origin with radius 8.

15. (x^2)^4
Move the decimal point to the right x places
x^(2(4)) =x^8 = (x^4)^2
F(x + c)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

16. The larger the absolute value of the slope...
Part = Percent X Whole
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Sector area = (n/360) X (pi)r^2
The steeper the slope.

17. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
(p + q)/5
500
y = (x + 5)/2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

18. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
Factors are few - multiples are many.
13pi / 2
A set with no members - denoted by a circle with a diagonal through it.
The steeper the slope.

19. Formula to find a circle'S circumference from its radius?
x^(6-3) = x^3
Relationship cannot be determined (what if x is negative?)
C = 2(pi)r
x(x - y + 1)

20. Evaluate (4^3)^2
(n-2) x 180
31 - 37
4096
8

21. What is the 'Range' of a series of numbers?
(base*height) / 2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The greatest value minus the smallest.
The third side is greater than the difference and less than the sum.

22. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
6 : 1 : 2
180 degrees
N! / (n-k)!

23. What are congruent triangles?
2^9 / 2 = 256
Triangles with same measure and same side lengths.
A = I (1 + rt)
1

24. The slope of a line perpendicular to (a/b)?
Its negative reciprocal. (-b/a)
31 - 37
A central angle is an angle formed by 2 radii.
2^9 / 2 = 256

25. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
A set with no members - denoted by a circle with a diagonal through it.
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
The set of elements found in both A and B.

26. x^(-y)=
55%
The steeper the slope.
1/(x^y)
90 degrees

27. What percent of 40 is 22?
55%
An angle which is supplementary to an interior angle.
4:5
2^9 / 2 = 256

28. A number is divisible by 6 if...
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Its divisible by 2 and by 3.
A set with no members - denoted by a circle with a diagonal through it.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

29. How to determine percent increase?
130pi
(amount of increase/original price) x 100%
10! / 3!(10-3)! = 120
1/(x^y)

30. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
12sqrt2
Infinite.
1

31. What is the set of elements found in both A and B?
10! / 3!(10-3)! = 120
The interesection of A and B.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Even

32. 413.03 x 10^(-4) =
Angle/360 x (pi)r^2
52
413.03 / 10^4 (move the decimal point 4 places to the left)
1.7

33. What are the irrational numbers?

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34. Convert 0.7% to a fraction.
Sqrt 12
No - the input value has exactly one output.
7 / 1000
III

35. Can you subtract 3sqrt4 from sqrt4?
67 - 71 - 73
Yes - like radicals can be added/subtracted.
6 : 1 : 2
87.5%

36. Whats the difference between factors and multiples?
Relationship cannot be determined (what if x is negative?)
A set with a number of elements which can be counted.
180
Factors are few - multiples are many.

37. Is 0 even or odd?
A reflection about the origin.
10! / 3!(10-3)! = 120
The set of output values for a function.
Even

38. What is the percent formula?
F(x) - c
Part = Percent X Whole
37.5%
6

39. In a regular polygon with n sides - the formula for the sum of interior angles
8
(n-2) x 180
9 & 6/7
The set of output values for a function.

40. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Its divisible by 2 and by 3.
13
III
1

41. When does a function automatically have a restricted domain (2)?
(amount of decrease/original price) x 100%
y = 2x^2 - 3
F(x + c)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

42. 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?
90 degrees
Even
2.592 kg
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

43. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
Undefined
2^9 / 2 = 256
An isosceles right triangle.
When the function is not defined for all real numbers -; only a subset of the real numbers.

44. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Move the decimal point to the right x places
Angle/360 x (pi)r^2
4:5

45. What are the members or elements of a set?
2 & 3/7
The objects within a set.
288 (8 9 4)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

46. The perimeter of a square is 48 inches. The length of its diagonal is:
The shortest arc between points A and B on a circle'S diameter.
12sqrt2
I
8

47. What is the 'Restricted domain of a function'?
(n-2) x 180
When the function is not defined for all real numbers -; only a subset of the real numbers.
y = 2x^2 - 3
The sum of digits is divisible by 9.

48. What is an isoceles triangle?
Two equal sides and two equal angles.
4a^2(b)
23 - 29
The union of A and B.

49. (6sqrt3) x (2sqrt5) =
6
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The set of elements found in both A and B.
The set of input values for a function.

50. Evaluate 3& 2/7 / 1/3
1:sqrt3:2
28. n = 8 - k = 2. n! / k!(n-k)!
9 & 6/7
IV

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GRE Math: Common Errors

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