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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.
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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. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
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)
4096
288 (8 9 4)
500

2. What is the 'Range' of a function?
Yes - like radicals can be added/subtracted.
27^(-4)
The set of output values for a function.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

3. What is the side length of an equilateral triangle with altitude 6?
(n-2) x 180
No - the input value has exactly one output.
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...
1:1:sqrt2

4. 40 < all primes<50
(amount of increase/original price) x 100%
41 - 43 - 47
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Angle/360 x (pi)r^2

5. 60 < all primes <70
The set of elements found in both A and B.
10! / 3!(10-3)! = 120
61 - 67
1

6. What is the 'Restricted domain of a function'?
1
When the function is not defined for all real numbers -; only a subset of the real numbers.
1.7
Undefined

7. Which quadrant is the lower left hand?
2(pi)r^2 + 2(pi)rh
1.7
III
75:11

8. What is an exterior angle?
4:5
A set with a number of elements which can be counted.
An angle which is supplementary to an interior angle.
4096

9. Which is greater? 200x^295 or 10x^294?
Factors are few - multiples are many.
Divide by 100.
1:1:sqrt2
Relationship cannot be determined (what if x is negative?)

10. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
1
3
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1:sqrt3:2

11. 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?
A set with no members - denoted by a circle with a diagonal through it.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
N! / (n-k)!
Arc length = (n/360) x pi(2r) where n is the number of degrees.

12. What is the absolute value function?
G(x) = {x}
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
(a - b)^2
The interesection of A and B.

13. What is the surface area of a cylinder with radius 5 and height 8?
130pi
6
A circle centered at -2 - -2 with radius 3.
41 - 43 - 47

14. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
When the function is not defined for all real numbers -; only a subset of the real numbers.
The point of intersection of the systems.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

15. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
...multiply by 100.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
12.5%
28. n = 8 - k = 2. n! / k!(n-k)!

16. 5/8 in percent?
x^(4+7) = x^11
62.5%
12! / 5!7! = 792
Arc length = (n/360) x pi(2r) where n is the number of degrees.

17. What is a tangent?
8
41 - 43 - 47
A tangent is a line that only touches one point on the circumference of a circle.
x(x - y + 1)

18. 7/8 in percent?
3/2 - 5/3
The interesection of A and B.
87.5%
Yes - like radicals can be added/subtracted.

19. Formula to calculate arc length?
(a - b)^2
55%
Yes - like radicals can be added/subtracted.
Arc length = (n/360) x pi(2r) where n is the number of degrees.

20. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
55%
Cd
2

21. What are complementary angles?
When the function is not defined for all real numbers -; only a subset of the real numbers.
Two angles whose sum is 90.
x^(6-3) = x^3
The point of intersection of the systems.

22. What is an arc of a circle?
62.5%
... the square of the ratios of the corresponding sides.
An arc is a portion of a circumference of a circle.
IV

23. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
(amount of decrease/original price) x 100%
28. n = 8 - k = 2. n! / k!(n-k)!
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
8

24. 3/8 in percent?
37.5%
1.7
Its negative reciprocal. (-b/a)
53 - 59

25. To convert a decimal to a percent...
When the function is not defined for all real numbers -; only a subset of the real numbers.
41 - 43 - 47
y = 2x^2 - 3
...multiply by 100.

26. x^6 / x^3
$11 -448
4:5
x^(6-3) = x^3
The direction of the inequality is reversed.

27. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
83.333%
The interesection of A and B.
7 / 1000

28. Which is greater? 27^(-4) or 9^(-8)
71 - 73 - 79
27^(-4)
72
1:sqrt3:2

29. Describe the relationship between 3x^2 and 3(x - 1)^2
9 : 25
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
12! / 5!7! = 792

30. 25^(1/2) or sqrt. 25 =
A circle centered on the origin with radius 8.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
5 OR -5
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

31. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
Triangles with same measure and same side lengths.
1 & 37/132
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)
48

32. 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?
III
3 - -3
10! / 3!(10-3)! = 120
N! / (n-k)!

33. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
C = 2(pi)r
90 degrees
0
13pi / 2

34. Formula for the area of a circle?
A circle centered at -2 - -2 with radius 3.
1/(x^y)
A = pi(r^2)
A set with a number of elements which can be counted.

35. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
0
Undefined - because we can'T divide by 0.
72

36. Factor x^2 - xy + x.
... the square of the ratios of the corresponding sides.
x(x - y + 1)
A = I (1 + rt)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

37. How to find the area of a sector?
Angle/360 x (pi)r^2
G(x) = {x}
10
An arc is a portion of a circumference of a circle.

38. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
11 - 13 - 17 - 19
4:5
C = 2(pi)r

39. How many multiples does a given number have?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The direction of the inequality is reversed.
Infinite.
16.6666%

40. a^2 - b^2 =
Angle/360 x 2(pi)r
A = pi(r^2)
(a - b)(a + b)
3/2 - 5/3

41. Evaluate (4^3)^2
4096
The set of elements found in both A and B.
... the square of the ratios of the corresponding sides.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

42. (6sqrt3) x (2sqrt5) =
True
Even
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
$11 -448

43. Circumference of a circle?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
71 - 73 - 79
The sum of its digits is divisible by 3.
Diameter(Pi)

44. P and r are factors of 100. What is greater - pr or 100?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
27^(-4)
x^(4+7) = x^11
Indeterminable.

45. When the 'a' in the parabola is negative...
The curve opens downward and the vertex is the maximum point on the graph.
A grouping of the members within a set based on a shared characteristic.
61 - 67
A circle centered on the origin with radius 8.

46. x^2 = 9. What is the value of x?
F(x + c)
Members or elements
The third side is greater than the difference and less than the sum.
3 - -3

47. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
1:sqrt3:2
(a + b)^2
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
28. n = 8 - k = 2. n! / k!(n-k)!

48. What is the set of elements which can be found in either A or B?
The interesection of A and B.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The union of A and B.
87.5%

49. Define a 'monomial'
52
No - the input value has exactly one output.
Divide by 100.
An expression with just one term (-6x - 2a^2)

50. 70 < all primes< 80
8
A chord is a line segment joining two points on a circle.
(p + q)/5
71 - 73 - 79

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GRE Math: Common Errors

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