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GRE Math: Common Errors

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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 minor arc?
11 - 13 - 17 - 19
C = 2(pi)r
5
The shortest arc between points A and B on a circle'S diameter.

2. What is the surface area of a cylinder with radius 5 and height 8?
Yes - like radicals can be added/subtracted.
5
130pi
N! / (k!)(n-k)!

3. Legs 6 - 8. Hypotenuse?
1
10
1
2(pi)r^2 + 2(pi)rh

4. 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)!
A circle centered on the origin with radius 8.
9 & 6/7
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

5. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
True
A grouping of the members within a set based on a shared characteristic.
5 OR -5
288 (8 9 4)

6. a^2 - 2ab + b^2
An expression with just one term (-6x - 2a^2)
(a - b)^2
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

7. a^0 =
1
5 OR -5
(a - b)(a + b)
48

8. (x^2)^4
Yes. [i.e. f(x) = x^2 - 1
x^(2(4)) =x^8 = (x^4)^2
The set of output values for a function.
1:sqrt3:2

9. Evaluate (4^3)^2
4096
(a + b)^2
441000 = 1 10 10 10 21 * 21
F(x) - c

10. What are the real numbers?
Factors are few - multiples are many.
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)
16.6666%
An angle which is supplementary to an interior angle.

11. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
Area of the base X height = (pi)hr^2
28. n = 8 - k = 2. n! / k!(n-k)!
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)
4:5

12. 0^0
Undefined
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
7 / 1000
The greatest value minus the smallest.

13. Simplify (a^2 + b)^2 - (a^2 - b)^2
16.6666%
87.5%
Even
4a^2(b)

14. How many sides does a hexagon have?
The third side is greater than the difference and less than the sum.
1 & 37/132
A 30-60-90 triangle.
6

15. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
1
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The set of elements found in both A and B.
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)

16. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
y = 2x^2 - 3
F(x + c)
2sqrt6
Factors are few - multiples are many.

17. (12sqrt15) / (2sqrt5) =
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
12! / 5!7! = 792
1/(x^y)

18. How many multiples does a given number have?
10! / (10-3)! = 720
Infinite.
$3 -500 in the 9% and $2 -500 in the 7%.
1:sqrt3:2

19. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
N! / (n-k)!
1:1:sqrt2
Two angles whose sum is 180.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

20. What is the formula for compounded interest?
1.7
90 degrees
The third side is greater than the difference and less than the sum.
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.

21. Area of a triangle?
When the function is not defined for all real numbers -; only a subset of the real numbers.
F(x) + c
A central angle is an angle formed by 2 radii.
(base*height) / 2

22. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
Lies opposite the greater angle
Divide by 100.
0
III

23. 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?
4725
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
Two angles whose sum is 90.
y = (x + 5)/2

24. 1/2 divided by 3/7 is the same as
2sqrt6
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1/2 times 7/3
A chord is a line segment joining two points on a circle.

25. What is the graph of f(x) shifted upward c units or spaces?
288 (8 9 4)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
III
F(x) + c

26. a^2 - b^2
Triangles with same measure and same side lengths.
No - only like radicals can be added.
(a - b)(a + b)
62.5%

27. What is the ratio of the sides of 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.
C = 2(pi)r
1:sqrt3:2
The sum of its digits is divisible by 3.

28. What is a subset?
Ax^2 + bx + c where a -b and c are constants and a /=0
A grouping of the members within a set based on a shared characteristic.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

29. If an inequality is multiplied or divided by a negative number....
52
A set with a number of elements which can be counted.
An infinite set.
The direction of the inequality is reversed.

30. What is the slope of a vertical line?
28. n = 8 - k = 2. n! / k!(n-k)!
87.5%
Undefined - because we can'T divide by 0.
27^(-4)

31. The larger the absolute value of the slope...
Members or elements
x= (1.2)(.8)lw
The steeper the slope.
A 30-60-90 triangle.

32. Convert 0.7% to a fraction.
3
Yes - like radicals can be added/subtracted.
7 / 1000
An angle which is supplementary to an interior angle.

33. To multiply a number by 10^x
... the square of the ratios of the corresponding sides.
Move the decimal point to the right x places
48
When the function is not defined for all real numbers -; only a subset of the real numbers.

34. (a^-1)/a^5
1/a^6
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
(b + c)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

35. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
y = 2x^2 - 3
(a - b)(a + b)
18
52

36. 20<all primes<30
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
2^9 / 2 = 256
23 - 29
12! / 5!7! = 792

37. Which quandrant is the lower right hand?
0
1 & 37/132
20.5
IV

38. Describe the relationship between 3x^2 and 3(x - 1)^2
2
True
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
28. n = 8 - k = 2. n! / k!(n-k)!

39. Define an 'expression'.
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)
4725
Undefined - because we can'T divide by 0.
A set with a number of elements which can be counted.

40. 5/6 in percent?
83.333%
130pi
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Two angles whose sum is 180.

41. What is an isoceles triangle?
.0004809 X 10^11
13pi / 2
Two equal sides and two equal angles.
55%

42. Can you add sqrt 3 and sqrt 5?
N! / (n-k)!
No - only like radicals can be added.
The shortest arc between points A and B on a circle'S diameter.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

43. What is a parabola?
III
72
The longest arc between points A and B on a circle'S diameter.
Ax^2 + bx + c where a -b and c are constants and a /=0

44. 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)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
10! / (10-3)! = 720
4.25 - 6 - 22

45. What is an arc of a circle?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
An arc is a portion of a circumference of a circle.
The point of intersection of the systems.
A chord is a line segment joining two points on a circle.

46. What is a tangent?
72
Relationship cannot be determined (what if x is negative?)
A tangent is a line that only touches one point on the circumference of a circle.
The shortest arc between points A and B on a circle'S diameter.

47. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
Sector area = (n/360) X (pi)r^2
An expression with just one term (-6x - 2a^2)
When the function is not defined for all real numbers -; only a subset of the real numbers.

48. Legs: 3 - 4. Hypotenuse?
The union of A and B.
Diameter(Pi)
A reflection about the origin.
5

49. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The set of elements found in both A and B.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Move the decimal point to the right x places

50. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
Its last two digits are divisible by 4.
The set of output values for a function.
(base*height) / 2

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