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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 does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
2 & 3/7
The second graph is less steep.
1

2. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
16.6666%
Area of the base X height = (pi)hr^2
2^9 / 2 = 256
7 / 1000

3. How to determine percent decrease?
An isosceles right triangle.
(amount of decrease/original price) x 100%
72
Sector area = (n/360) X (pi)r^2

4. Simplify the expression (p^2 - q^2)/ -5(q - p)
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
(p + q)/5
0
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

5. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
72
500

6. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
The overlapping sections.

7. What is the graph of f(x) shifted right c units or spaces?
12! / 5!7! = 792
8
F(x-c)
The longest arc between points A and B on a circle'S diameter.

8. What percent of 40 is 22?
5 OR -5
55%
(n-2) x 180
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)

9. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
Even
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A set with no members - denoted by a circle with a diagonal through it.
3 - -3

10. What is a minor arc?

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11. Evaluate 4/11 + 11/12
1 & 37/132
A central angle is an angle formed by 2 radii.
True
y = (x + 5)/2

12. 0^0
Area of the base X height = (pi)hr^2
Undefined
1
The set of elements found in both A and B.

13. What is an exterior angle?
An angle which is supplementary to an interior angle.
8
4096
11 - 13 - 17 - 19

14. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
31 - 37
Undefined
70
52

15. A number is divisible by 6 if...
4.25 - 6 - 22
Its divisible by 2 and by 3.
2(pi)r^2 + 2(pi)rh
Arc length = (n/360) x pi(2r) where n is the number of degrees.

16. To multiply a number by 10^x
41 - 43 - 47
500
Move the decimal point to the right x places
N! / (n-k)!

17. Formula to find a circle'S circumference from its diameter?
1
1/a^6
67 - 71 - 73
C = (pi)d

18. (-1)^2 =
10! / 3!(10-3)! = 120
1
The third side is greater than the difference and less than the sum.
Part = Percent X Whole

19. How to find the area of a sector?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
90pi
Angle/360 x (pi)r^2
N! / (n-k)!

20. What is a subset?
A tangent is a line that only touches one point on the circumference of a circle.
The union of A and B.
(a + b)^2
A grouping of the members within a set based on a shared characteristic.

21. 30< all primes<40
31 - 37
90
Sector area = (n/360) X (pi)r^2
90pi

22. 10^6 has how many zeroes?
10! / (10-3)! = 720
6
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
500

23. What are the irrational numbers?

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24. Factor x^2 - xy + x.
x(x - y + 1)
Two angles whose sum is 90.
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...
1/a^6

25. What is the graph of f(x) shifted left c units or spaces?
9 & 6/7
F(x + c)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
83.333%

26. a^2 - b^2 =
(a - b)(a + b)
C = (pi)d
7 / 1000
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

27. 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)
The curve opens downward and the vertex is the maximum point on the graph.
4.25 - 6 - 22
The set of input values for a function.
IV

28. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
I
Pi is the ratio of a circle'S circumference to its diameter.
4725
A 30-60-90 triangle.

29. A number is divisible by 3 if ...
(a - b)(a + b)
72
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The sum of its digits is divisible by 3.

30. Pi is a ratio of what to what?

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31. P and r are factors of 100. What is greater - pr or 100?
The set of output values for a function.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A circle centered on the origin with radius 8.
Indeterminable.

32. 50 < all primes< 60
N! / (n-k)!
A reflection about the axis.
53 - 59
12.5%

33. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
An angle which is supplementary to an interior angle.
x= (1.2)(.8)lw
A = I (1 + rt)

34. Which quadrant is the upper left hand?
12sqrt2
441000 = 1 10 10 10 21 * 21
1/2 times 7/3
II

35. Simplify 9^(1/2) X 4^3 X 2^(-6)?
... the square of the ratios of the corresponding sides.
A circle centered on the origin with radius 8.
3
10! / (10-3)! = 720

36. Is 0 even or odd?
The shortest arc between points A and B on a circle'S diameter.
62.5%
Even
A circle centered on the origin with radius 8.

37. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
48
4:5
Undefined

38. Evaluate (4^3)^2
4096
83.333%
1
413.03 / 10^4 (move the decimal point 4 places to the left)

39. Evaluate 3& 2/7 / 1/3
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
9 & 6/7
The shortest arc between points A and B on a circle'S diameter.
7 / 1000

40. What is the formula for computing simple interest?
Yes - like radicals can be added/subtracted.
52
5
A = I (1 + rt)

41. What are the integers?
4:5
(n-2) x 180
All numbers multiples of 1.
1:1:sqrt2

42. Solve the quadratic equation ax^2 + bx + c= 0
The point of intersection of the systems.
Members or elements
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Sqrt 12

43. What is the area of a regular hexagon with side 6?
Members or elements
130pi
9 : 25
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

44. sqrt 2(sqrt 6)=
16.6666%
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)
5 OR -5
Sqrt 12

45. What is a central angle?
1
IV
.0004809 X 10^11
A central angle is an angle formed by 2 radii.

46. 10<all primes<20
11 - 13 - 17 - 19
x^(4+7) = x^11
3sqrt4
(amount of decrease/original price) x 100%

47. How many multiples does a given number have?
Infinite.
1.0843 X 10^11
G(x) = {x}
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

48. 60 < all primes <70
(p + q)/5
180 degrees
61 - 67
Two angles whose sum is 90.

49. What is a finite set?
A set with a number of elements which can be counted.
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...
67 - 71 - 73
A 30-60-90 triangle.

50. Which quadrant is the upper right hand?
20.5
I
The set of output values for a function.
The shortest arc between points A and B on a circle'S diameter.