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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. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
5
Factors are few - multiples are many.
A 30-60-90 triangle.

2. What is the 'Solution' for a set of inequalities.
1.0843 X 10^11
$3 -500 in the 9% and $2 -500 in the 7%.
x^(4+7) = x^11
The overlapping sections.

3. Legs: 3 - 4. Hypotenuse?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The sum of its digits is divisible by 3.
0
5

4. How to find the diagonal of a rectangular solid?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Pi is the ratio of a circle'S circumference to its diameter.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
(p + q)/5

5. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The interesection of A and B.
70

6. What are the roots of the quadrinomial x^2 + 2x + 1?
1
2sqrt6
The two xes after factoring.
.0004809 X 10^11

7. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
An expression with just one term (-6x - 2a^2)
An angle which is supplementary to an interior angle.
70
The sum of digits is divisible by 9.

8. 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?
A reflection about the origin.
10! / (10-3)! = 720
1
1/a^6

9. Can you simplify sqrt72?
12.5%
$3 -500 in the 9% and $2 -500 in the 7%.
Undefined
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

10. Which quadrant is the upper right hand?
Cd
I
F(x-c)
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

11. Formula for the area of a circle?
A = pi(r^2)
1
28. n = 8 - k = 2. n! / k!(n-k)!
G(x) = {x}

12. What is the name of set with a number of elements which cannot be counted?
Divide by 100.
An infinite set.
An angle which is supplementary to an interior angle.
27^(-4)

13. What is an exterior angle?
No - only like radicals can be added.
An angle which is supplementary to an interior angle.
... the square of the ratios of the corresponding sides.
II

14. What is the percent formula?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Part = Percent X Whole
1
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

15. Which quadrant is the lower left hand?
31 - 37
III
12! / 5!7! = 792
The two xes after factoring.

16. P and r are factors of 100. What is greater - pr or 100?
130pi
C = (pi)d
1/(x^y)
Indeterminable.

17. What is the set of elements which can be found in either A or B?
27^(-4)
70
288 (8 9 4)
The union of A and B.

18. What are the irrational numbers?

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19. A number is divisible by 3 if ...
Pi is the ratio of a circle'S circumference to its diameter.
70
The sum of its digits is divisible by 3.
Move the decimal point to the right x places

20. 5x^2 - 35x -55 = 0
20.5
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
70
The sum of its digits is divisible by 3.

21. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
52
12sqrt2
23 - 29

22. The slope of a line perpendicular to (a/b)?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
III
Its negative reciprocal. (-b/a)
55%

23. What is the graph of f(x) shifted right c units or spaces?
1.7
2 & 3/7
F(x-c)
A subset.

24. Evaluate 4/11 + 11/12
9 : 25
1 & 37/132
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The set of input values for a function.

25. What is a chord of a circle?
500
1
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
A chord is a line segment joining two points on a circle.

26. a^0 =
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A central angle is an angle formed by 2 radii.
The sum of its digits is divisible by 3.
1

27. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Members or elements
75:11
2sqrt6
$11 -448

28. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A set with a number of elements which can be counted.
y = (x + 5)/2

29. Can you add sqrt 3 and sqrt 5?
An angle which is supplementary to an interior angle.
x^(6-3) = x^3
90pi
No - only like radicals can be added.

30. What are 'Supplementary angles?'
55%
Two angles whose sum is 180.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
III

31. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Indeterminable.
130pi
A reflection about the origin.

32. What is the slope of a vertical line?

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33. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
Diameter(Pi)
Area of the base X height = (pi)hr^2
41 - 43 - 47
441000 = 1 10 10 10 21 * 21

34. What is the side length of an equilateral triangle with altitude 6?
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...
90pi
Triangles with same measure and same side lengths.
72

35. How to find the circumference of a circle which circumscribes a square?
Angle/360 x 2(pi)r
13
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

36. Can the output value of a function have more than one input value?
Yes. [i.e. f(x) = x^2 - 1
F(x-c)
A 30-60-90 triangle.
Even

37. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
1:1:sqrt2
III
10! / (10-3)! = 720
90 degrees

38. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
6 : 1 : 2
1
Diameter(Pi)
The shortest arc between points A and B on a circle'S diameter.

39. 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?
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
10! / (10-3)! = 720
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
90 degrees

40. 60 < all primes <70
61 - 67
G(x) = {x}
A 30-60-90 triangle.
13

41. What is the graph of f(x) shifted left c units or spaces?
6
3/2 - 5/3
$11 -448
F(x + c)

42. 2sqrt4 + sqrt4 =
3sqrt4
The curve opens upward and the vertex is the minimal point on the graph.
1.7
2

43. What is an isoceles triangle?
2sqrt6
3
67 - 71 - 73
Two equal sides and two equal angles.

44. Formula to find a circle'S circumference from its radius?
The sum of digits is divisible by 9.
C = 2(pi)r
A chord is a line segment joining two points on a circle.
Cd

45. What is the set of elements found in both A and B?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
10! / 3!(10-3)! = 120
The interesection of A and B.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

46. Simplify the expression [(b^2 - c^2) / (b - c)]
Relationship cannot be determined (what if x is negative?)
A subset.
y = (x + 5)/2
(b + c)

47. 5/6 in percent?
6
12sqrt2
90 degrees
83.333%

48. 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?
500
61 - 67
$3 -500 in the 9% and $2 -500 in the 7%.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

49. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
II
A subset.
1.7

50. Factor x^2 - xy + x.
x(x - y + 1)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The interesection of A and B.
C = 2(pi)r

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GRE Math: Common Errors

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