GRE Math: Common Errors

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. 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
18
72
9 & 6/7
13pi / 2


2. What is the formula for compounded interest?
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.
The curve opens upward and the vertex is the minimal point on the graph.
75:11
Arc length = (n/360) x pi(2r) where n is the number of degrees.


3. Factor a^2 + 2ab + b^2
(a + b)^2
C = 2(pi)r
8
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. 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?
The second graph is less steep.
48
True
II


5. Area of a triangle?
2
(base*height) / 2
(amount of decrease/original price) x 100%
F(x) - c


6. What is the order of operations?
9 & 6/7
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
83.333%
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)


7. Which quadrant is the upper right hand?
I
Sqrt 12
6
The objects within a set.


8. Define an 'expression'.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Diameter(Pi)
The steeper the slope.
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. Can you add sqrt 3 and sqrt 5?
1 & 37/132
No - only like radicals can be added.
The set of elements found in both A and B.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3


10. When the 'a' in a parabola is positive....
A = pi(r^2)
The curve opens upward and the vertex is the minimal point on the graph.
20.5
1:sqrt3:2


11. What is a minor arc?

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12. What is the slope of a vertical line?

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13. Which quadrant is the upper left hand?
No - the input value has exactly one output.
1
Area of the base X height = (pi)hr^2
II


14. What is a major arc?

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15. 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?
Its negative reciprocal. (-b/a)
0
1/2 times 7/3
10! / 3!(10-3)! = 120


16. What is an arc of a circle?
The sum of its digits is divisible by 3.
The objects within a set.
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)
An arc is a portion of a circumference of a circle.


17. What is a set with no members called?
Two equal sides and two equal angles.
13pi / 2
The empty set - denoted by a circle with a diagonal through it.
28. n = 8 - k = 2. n! / k!(n-k)!


18. The objects in a set are called two names:
A reflection about the origin.
Members or elements
All numbers multiples of 1.
67 - 71 - 73


19. 1/2 divided by 3/7 is the same as
A set with no members - denoted by a circle with a diagonal through it.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1/2 times 7/3
500


20. Find the surface area of a cylinder with radius 3 and height 12.
90pi
37.5%
Pi is the ratio of a circle'S circumference to its diameter.
Two angles whose sum is 180.


21. 40 < all primes<50
41 - 43 - 47
A = I (1 + rt)
Move the decimal point to the right x places
2(pi)r^2 + 2(pi)rh


22. 50 < all primes< 60
(a - b)^2
53 - 59
1:1:sqrt2
11 - 13 - 17 - 19


23. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
1
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
27^(-4)


24. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
... the square of the ratios of the corresponding sides.
Sqrt 12
62.5%
28. n = 8 - k = 2. n! / k!(n-k)!


25. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
I
2sqrt6
71 - 73 - 79
2 & 3/7


26. 5/8 in percent?
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
62.5%
11 - 13 - 17 - 19
12.5%


27. The ratio of the areas of two similar polygons is ...
4a^2(b)
The objects within a set.
... the square of the ratios of the corresponding sides.
Two angles whose sum is 180.


28. What is the sum of the angles of a triangle?
x^(2(4)) =x^8 = (x^4)^2
83.333%
10! / 3!(10-3)! = 120
180 degrees


29. To convert a decimal to a percent...
...multiply by 100.
10! / 3!(10-3)! = 120
1/(x^y)
18


30. (-1)^2 =
The sum of its digits is divisible by 3.
(amount of decrease/original price) x 100%
1
6


31. Simplify 9^(1/2) X 4^3 X 2^(-6)?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The interesection of A and B.


32. Pi is a ratio of what to what?

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33. Surface area for a cylinder?
G(x) = {x}
10
2(pi)r^2 + 2(pi)rh
A grouping of the members within a set based on a shared characteristic.


34. 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?
10! / 3!(10-3)! = 120
The overlapping sections.
3
N! / (n-k)!


35. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The set of output values for a function.
(a + b)^2
y = (x + 5)/2


36. Order of quadrants:
From northeast - counterclockwise. I - II - III - IV
1:1:sqrt2
Triangles with same measure and same side lengths.
1.0843 X 10^11


37. What is the intersection of A and B?
$11 -448
The set of elements found in both A and B.
A grouping of the members within a set based on a shared characteristic.
C = (pi)d


38. A number is divisible by 9 if...
The sum of digits is divisible by 9.
.0004809 X 10^11
2 & 3/7
(a - b)^2


39. What is a tangent?
x^(6-3) = x^3
An arc is a portion of a circumference of a circle.
A tangent is a line that only touches one point on the circumference of a circle.
1


40. 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?
4a^2(b)
A set with a number of elements which can be counted.
N! / (k!)(n-k)!
18


41. 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?
The objects within a set.
52
2^9 / 2 = 256
9 & 6/7


42. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
4a^2(b)
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
y = (x + 5)/2
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)


43. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
1
Divide by 100.
11 - 13 - 17 - 19


44. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
No - the input value has exactly one output.
20.5
288 (8 9 4)


45. What are the irrational numbers?

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46. Simplify the expression (p^2 - q^2)/ -5(q - p)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(p + q)/5
Relationship cannot be determined (what if x is negative?)
An arc is a portion of a circumference of a circle.


47. 60 < all primes <70
A 30-60-90 triangle.
From northeast - counterclockwise. I - II - III - IV
2sqrt6
61 - 67


48. x^4 + x^7 =
x^(4+7) = x^11
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
90pi
(b + c)


49. What are complementary angles?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Two angles whose sum is 90.
.0004809 X 10^11
C = (pi)d


50. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
62.5%
Part = Percent X Whole
20.5
The set of input values for a function.