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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. 7/8 in percent?
Undefined - because we can'T divide by 0.
87.5%
G(x) = {x}
x= (1.2)(.8)lw
2. Factor a^2 + 2ab + b^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
72
4096
(a + b)^2
3. a^2 - 2ab + b^2
(a - b)^2
1:1:sqrt2
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Undefined - because we can'T divide by 0.
4. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
A subset.
4.25 - 6 - 22
8
5. 60 < all primes <70
75:11
61 - 67
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
2.592 kg
6. a^2 - b^2
12! / 5!7! = 792
The second graph is less steep.
(a - b)(a + b)
1
7. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
41 - 43 - 47
A = I (1 + rt)
(amount of increase/original price) x 100%
8. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
No - the input value has exactly one output.
4.25 - 6 - 22
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
9. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
4a^2(b)
90pi
.0004809 X 10^11
13pi / 2
10. x^2 = 9. What is the value of x?
A = I (1 + rt)
75:11
3 - -3
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)
11. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
$3 -500 in the 9% and $2 -500 in the 7%.
2
Its divisible by 2 and by 3.
4096
12. Evaluate 4/11 + 11/12
180
x(x - y + 1)
4096
1 & 37/132
13. What is a minor arc?
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183
14. Is 0 even or odd?
Even
Move the decimal point to the right x places
The curve opens upward and the vertex is the minimal point on the graph.
III
15. 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
I
2(pi)r^2 + 2(pi)rh
16. What is the formula for computing simple interest?
A = I (1 + rt)
IV
N! / (n-k)!
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
17. 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.
Lies opposite the greater angle
90 degrees
1
3
18. 4.809 X 10^7 =
.0004809 X 10^11
Sqrt 12
8
A set with no members - denoted by a circle with a diagonal through it.
19. (x^2)^4
The direction of the inequality is reversed.
True
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)
x^(2(4)) =x^8 = (x^4)^2
20. Can the output value of a function have more than one input value?
The overlapping sections.
G(x) = {x}
Yes. [i.e. f(x) = x^2 - 1
I
21. Simplify the expression (p^2 - q^2)/ -5(q - p)
1
(p + q)/5
.0004809 X 10^11
10! / 3!(10-3)! = 120
22. 2sqrt4 + sqrt4 =
62.5%
x(x - y + 1)
(base*height) / 2
3sqrt4
23. What are the smallest three prime numbers greater than 65?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
N! / (n-k)!
67 - 71 - 73
413.03 / 10^4 (move the decimal point 4 places to the left)
24. What is the 'Range' of a series of numbers?
No - only like radicals can be added.
x= (1.2)(.8)lw
1/(x^y)
The greatest value minus the smallest.
25. Evaluate (4^3)^2
61 - 67
The overlapping sections.
True
4096
26. 5x^2 - 35x -55 = 0
52
72
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The two xes after factoring.
27. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
From northeast - counterclockwise. I - II - III - IV
2^9 / 2 = 256
Ax^2 + bx + c where a -b and c are constants and a /=0
28. Length of an arc of a circle?
Angle/360 x 2(pi)r
90
83.333%
Sqrt 12
29. 5/6 in percent?
83.333%
When the function is not defined for all real numbers -; only a subset of the real numbers.
1/a^6
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.
30. What is the absolute value function?
The empty set - denoted by a circle with a diagonal through it.
G(x) = {x}
The shortest arc between points A and B on a circle'S diameter.
(p + q)/5
31. Order of quadrants:
From northeast - counterclockwise. I - II - III - IV
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
An isosceles right triangle.
3sqrt4
32. sqrt 2(sqrt 6)=
11 - 13 - 17 - 19
Sqrt 12
55%
1
33. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
y = (x + 5)/2
F(x-c)
A reflection about the origin.
4a^2(b)
34. What is a piecewise equation?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
1
23 - 29
The objects within a set.
35. What is a major arc?
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on line
183
36. Which is greater? 27^(-4) or 9^(-8)
All numbers multiples of 1.
27^(-4)
.0004809 X 10^11
180 degrees
37. To multiply a number by 10^x
(n-2) x 180
Move the decimal point to the right x places
The two xes after factoring.
4725
38. Legs 6 - 8. Hypotenuse?
500
.0004809 X 10^11
10
No - only like radicals can be added.
39. Define a 'Term' -
180 degrees
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)
A = I (1 + rt)
All numbers multiples of 1.
40. What is the 'union' of A and B?
Sector area = (n/360) X (pi)r^2
III
The set of elements which can be found in either A or B.
A grouping of the members within a set based on a shared characteristic.
41. Describe the relationship between 3x^2 and 3(x - 1)^2
When the function is not defined for all real numbers -; only a subset of the real numbers.
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)!
(b + c)
42. What is the area of a regular hexagon with side 6?
(a - b)^2
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
F(x-c)
A subset.
43. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
A set with no members - denoted by a circle with a diagonal through it.
90pi
Pi is the ratio of a circle'S circumference to its diameter.
44. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
Ax^2 + bx + c where a -b and c are constants and a /=0
413.03 / 10^4 (move the decimal point 4 places to the left)
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
.0004809 X 10^11
45. Circumference of a circle?
75:11
Diameter(Pi)
1 & 37/132
C = 2(pi)r
46. What is the set of elements which can be found in either A or B?
1/(x^y)
A central angle is an angle formed by 2 radii.
The union of A and B.
62.5%
47. 20<all primes<30
x^(4+7) = x^11
23 - 29
1
90
48. Pi is a ratio of what to what?
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49. What is the surface area of a cylinder with radius 5 and height 8?
130pi
Two angles whose sum is 90.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
(a + b)^2
50. Which is greater? 200x^295 or 10x^294?
2
Relationship cannot be determined (what if x is negative?)
The third side is greater than the difference and less than the sum.
A set with a number of elements which can be counted.
Sorry!:) No result found.
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