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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. A number is divisible by 3 if ...
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)
The sum of its digits is divisible by 3.
The set of output values for a function.
3/2 - 5/3

2. The larger the absolute value of the slope...
10! / 3!(10-3)! = 120
The steeper the slope.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
F(x + c)

3. To multiply a number by 10^x
An arc is a portion of a circumference of a circle.
Move the decimal point to the right x places
10! / (10-3)! = 720
A set with a number of elements which can be counted.

4. Formula for the area of a sector of a circle?
II
Sector area = (n/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
(a - b)(a + b)

5. In a regular polygon with n sides - the formula for the sum of interior angles
No - the input value has exactly one output.
Cd
500
(n-2) x 180

6. When does a function automatically have a restricted domain (2)?
The set of output values for a function.
2(pi)r^2 + 2(pi)rh
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The steeper the slope.

7. Whats the difference between factors and multiples?
Factors are few - multiples are many.
13pi / 2
90 degrees
Two angles whose sum is 180.

8. Is 0 even or odd?
The shortest arc between points A and B on a circle'S diameter.
Even
12! / 5!7! = 792
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)

9. What is a finite set?
(b + c)
A set with no members - denoted by a circle with a diagonal through it.
1
A set with a number of elements which can be counted.

10. a^2 - b^2
(a - b)(a + b)
2
x(x - y + 1)
$3 -500 in the 9% and $2 -500 in the 7%.

11. The objects in a set are called two names:
13
Members or elements
Angle/360 x 2(pi)r
4096

12. Which is greater? 200x^295 or 10x^294?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Sqrt 12
Angle/360 x 2(pi)r
Relationship cannot be determined (what if x is negative?)

13. 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?
Sqrt 12
(a - b)(a + b)
13
10! / 3!(10-3)! = 120

14. What number between 70 & 75 - inclusive - has the greatest number of factors?
$11 -448
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
72
Its last two digits are divisible by 4.

15. x^(-y)=
90
1/(x^y)
441000 = 1 10 10 10 21 * 21
2(pi)r^2 + 2(pi)rh

16. What is a major arc?

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17. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
53 - 59
180 degrees

18. What is an isoceles triangle?
Two equal sides and two equal angles.
Two angles whose sum is 180.
No - only like radicals can be added.
Sqrt 12

19. What is the graph of f(x) shifted upward c units or spaces?
IV
1
F(x) + c
53 - 59

20. What percent of 40 is 22?
55%
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...
...multiply by 100.
2^9 / 2 = 256

21. Formula to find a circle'S circumference from its diameter?
C = (pi)d
A 30-60-90 triangle.
500
Its divisible by 2 and by 3.

22. Can you subtract 3sqrt4 from sqrt4?
3 - -3
Yes - like radicals can be added/subtracted.
75:11
1

23. What is the formula for computing simple interest?
The union of A and B.
4:5
A = I (1 + rt)
55%

24. 1/8 in percent?
180
A grouping of the members within a set based on a shared characteristic.
55%
12.5%

25. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Two equal sides and two equal angles.
A reflection about the axis.

26. What are 'Supplementary angles?'
Two angles whose sum is 180.
7 / 1000
N! / (n-k)!
C = (pi)d

27. 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?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
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)
10! / (10-3)! = 720
75:11

28. 60 < all primes <70
9 & 6/7
No - the input value has exactly one output.
61 - 67
... the square of the ratios of the corresponding sides.

29. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
(a + b)^2
The objects within a set.
28. n = 8 - k = 2. 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.

30. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
10! / 3!(10-3)! = 120
0
The shortest arc between points A and B on a circle'S diameter.

31. 6w^2 - w - 15 = 0
Yes - like radicals can be added/subtracted.
Angle/360 x 2(pi)r
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
3/2 - 5/3

32. 413.03 x 10^(-4) =
1/2 times 7/3
413.03 / 10^4 (move the decimal point 4 places to the left)
A set with a number of elements which can be counted.
Part = Percent X Whole

33. (6sqrt3) x (2sqrt5) =
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)
The direction of the inequality is reversed.
288 (8 9 4)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

34. a^0 =
Undefined - because we can'T divide by 0.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1

35. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
The union of A and B.
$11 -448
4096
A tangent is a line that only touches one point on the circumference of a circle.

36. 70 < all primes< 80
3 - -3
71 - 73 - 79
Pi is the ratio of a circle'S circumference to its diameter.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

37. What is a minor arc?

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38. Area of a triangle?
(base*height) / 2
Undefined
5 OR -5
1:sqrt3:2

39. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
(a - b)^2
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The set of input values for a function.
1

40. What is the 'Restricted domain of a function'?
A chord is a line segment joining two points on a circle.
When the function is not defined for all real numbers -; only a subset of the real numbers.
An expression with just one term (-6x - 2a^2)
67 - 71 - 73

41. What is the graph of f(x) shifted left c units or spaces?
(amount of increase/original price) x 100%
2sqrt6
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
F(x + c)

42. What is the surface area of a cylinder with radius 5 and height 8?
Infinite.
130pi
23 - 29
G(x) = {x}

43. What is the set of elements which can be found in either A or B?
9 & 6/7
1:sqrt3:2
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
The union of A and B.

44. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
... the square of the ratios of the corresponding sides.
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.
2^9 / 2 = 256

45. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
71 - 73 - 79
x^(2(4)) =x^8 = (x^4)^2
Two equal sides and two equal angles.

46. What are the rational numbers?
Its negative reciprocal. (-b/a)
The sum of digits is divisible by 9.
130pi
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

47. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
Undefined - because we can'T divide by 0.
18

48. 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 overlapping sections.
Yes - like radicals can be added/subtracted.
The set of elements which can be found in either A or B.

49. Order of quadrants:
4:5
2 & 3/7
From northeast - counterclockwise. I - II - III - IV
9 & 6/7

50. What are the irrational numbers?

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