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Test your basic knowledge |
GRE Math: Common Errors
Start Test
Study First
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 is a finite set?
37.5%
6
The set of output values for a function.
A set with a number of elements which can be counted.
2. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
Infinite.
10! / (10-3)! = 720
16.6666%
3. What is the 'Solution' for a set of inequalities.
1.7
The set of output values for a function.
(a + b)^2
The overlapping sections.
4. What are the members or elements of a set?
The objects within a set.
C = (pi)d
Angle/360 x 2(pi)r
11 - 13 - 17 - 19
5. What is the area of a regular hexagon with side 6?
From northeast - counterclockwise. I - II - III - IV
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
An infinite set.
83.333%
6. Which quadrant is the lower left hand?
(base*height) / 2
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
III
Indeterminable.
7. The objects in a set are called two names:
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
4.25 - 6 - 22
Members or elements
6
8. Write 10 -843 X 10^7 in scientific notation
53 - 59
1.0843 X 10^11
Cd
F(x) + c
9. 8.84 / 5.2
The overlapping sections.
$11 -448
1.7
N! / (n-k)!
10. What is the graph of f(x) shifted right c units or spaces?
A circle centered at -2 - -2 with radius 3.
F(x-c)
90pi
A = pi(r^2)
11. 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?
1
6 : 1 : 2
(amount of increase/original price) x 100%
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
12. Which quandrant is the lower right hand?
$11 -448
4096
27^(-4)
IV
13. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
x(x - y + 1)
(n-2) x 180
The steeper the slope.
A reflection about the origin.
14. How many multiples does a given number have?
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
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)
55%
Infinite.
15. What is a major arc?
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16. Solve the quadratic equation ax^2 + bx + c= 0
1
The union of A and B.
C = 2(pi)r
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
17. x^6 / x^3
F(x) - c
x^(6-3) = x^3
Move the decimal point to the right x places
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
18. What is the graph of f(x) shifted downward c units or spaces?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Its divisible by 2 and by 3.
F(x) - c
A set with a number of elements which can be counted.
19. Simplify (a^2 + b)^2 - (a^2 - b)^2
Yes - like radicals can be added/subtracted.
4a^2(b)
1
1.0843 X 10^11
20. A number is divisible by 6 if...
55%
1
Its divisible by 2 and by 3.
III
21. When does a function automatically have a restricted domain (2)?
$3 -500 in the 9% and $2 -500 in the 7%.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Members or elements
5 OR -5
22. What is the side length of an equilateral triangle with altitude 6?
Angle/360 x (pi)r^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...
F(x + c)
23. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
3/2 - 5/3
8
1
Diameter(Pi)
24. What percent of 40 is 22?
An angle which is supplementary to an interior angle.
87.5%
55%
Yes. [i.e. f(x) = x^2 - 1
25. 5/8 in percent?
0
2.592 kg
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...
62.5%
26. What is an isoceles triangle?
x^(4+7) = x^11
Two equal sides and two equal angles.
13
The objects within a set.
27. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
5 OR -5
Two angles whose sum is 90.
27^(-4)
3
28. 413.03 x 10^(-4) =
18
413.03 / 10^4 (move the decimal point 4 places to the left)
A = I (1 + rt)
11 - 13 - 17 - 19
29. What is the maximum value for the function g(x) = (-2x^2) -1?
1
Its divisible by 2 and by 3.
y = (x + 5)/2
2^9 / 2 = 256
30. a^2 - b^2 =
1.0843 X 10^11
(a - b)(a + b)
62.5%
(amount of increase/original price) x 100%
31. Legs 5 - 12. Hypotenuse?
8
The set of input values for a function.
1.7
13
32. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
Two equal sides and two equal angles.
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.
A set with a number of elements which can be counted.
33. What is a tangent?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
When the function is not defined for all real numbers -; only a subset of the real numbers.
A tangent is a line that only touches one point on the circumference of a circle.
34. What is an arc of a circle?
Two angles whose sum is 180.
An arc is a portion of a circumference of a circle.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
130pi
35. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
53 - 59
(amount of increase/original price) x 100%
A 30-60-90 triangle.
The two xes after factoring.
36. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
1
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
Even
37. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
6
4725
Yes - like radicals can be added/subtracted.
3sqrt4
38. 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?
52
Area of the base X height = (pi)hr^2
37.5%
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
39. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
x^(6-3) = x^3
A reflection about the axis.
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 set of elements found in both A and B.
40. What is the surface area of a cylinder with radius 5 and height 8?
70
130pi
9 & 6/7
5 OR -5
41. What are the irrational numbers?
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42. How to determine percent decrease?
(amount of decrease/original price) x 100%
Yes. [i.e. f(x) = x^2 - 1
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)
The sum of its digits is divisible by 3.
43. Formula for the area of a circle?
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)
Two equal sides and two equal angles.
Angle/360 x 2(pi)r
A = pi(r^2)
44. Find the surface area of a cylinder with radius 3 and height 12.
Pi is the ratio of a circle'S circumference to its diameter.
90pi
Diameter(Pi)
From northeast - counterclockwise. I - II - III - IV
45. What is the percent formula?
An arc is a portion of a circumference of a circle.
Part = Percent X Whole
The interesection of A and B.
18
46. What are the integers?
10! / 3!(10-3)! = 120
Cd
All numbers multiples of 1.
28. n = 8 - k = 2. n! / k!(n-k)!
47. 30< all primes<40
x^(2(4)) =x^8 = (x^4)^2
x^(6-3) = x^3
IV
31 - 37
48. To multiply a number by 10^x
y = (x + 5)/2
Undefined
The interesection of A and B.
Move the decimal point to the right x places
49. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
Angle/360 x (pi)r^2
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)
1/(x^y)
50. Max and Min lengths for a side of a triangle?
The sum of its digits is divisible by 3.
The third side is greater than the difference and less than the sum.
y = 2x^2 - 3
Infinite.