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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 the slope of a vertical line?
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183
2. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
(a + b)^2
The overlapping sections.
70
G(x) = {x}
3. What is the maximum value for the function g(x) = (-2x^2) -1?
1/(x^y)
1
31 - 37
Factors are few - multiples are many.
4. x^2 = 9. What is the value of x?
9 & 6/7
3 - -3
28. n = 8 - k = 2. n! / k!(n-k)!
9 : 25
5. Whats the difference between factors and multiples?
Yes - like radicals can be added/subtracted.
12! / 5!7! = 792
Factors are few - multiples are many.
1.0843 X 10^11
6. What is the 'Solution' for a system of linear equations?
The set of elements which can be found in either A or B.
A = I (1 + rt)
Move the decimal point to the right x places
The point of intersection of the systems.
7. 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.
4a^2(b)
A chord is a line segment joining two points on a circle.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
90 degrees
8. What is a major arc?
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9. Simplify the expression [(b^2 - c^2) / (b - c)]
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(b + c)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Triangles with same measure and same side lengths.
10. What is the set of elements which can be found in either A or B?
48
62.5%
52
The union of A and B.
11. What is a finite set?
53 - 59
130pi
16.6666%
A set with a number of elements which can be counted.
12. 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
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
F(x-c)
52
18
13. 7/8 in percent?
The set of elements which can be found in either A or B.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
87.5%
4a^2(b)
14. What is the absolute value function?
x^(4+7) = x^11
...multiply by 100.
G(x) = {x}
Even
15. 5/6 in percent?
67 - 71 - 73
37.5%
130pi
83.333%
16. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
67 - 71 - 73
A set with a number of elements which can be counted.
28. n = 8 - k = 2. n! / k!(n-k)!
II
17. The ratio of the areas of two similar polygons is ...
11 - 13 - 17 - 19
The set of elements which can be found in either A or B.
The sum of digits is divisible by 9.
... the square of the ratios of the corresponding sides.
18. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
13
$11 -448
The curve opens downward and the vertex is the maximum point on the graph.
(a + b)^2
19. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
3
An expression with just one term (-6x - 2a^2)
The steeper the slope.
20. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
I
4:5
An infinite set.
21. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
(amount of increase/original price) x 100%
When the function is not defined for all real numbers -; only a subset of the real numbers.
4096
22. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Angle/360 x 2(pi)r
12sqrt2
The set of input values for a function.
23. 4.809 X 10^7 =
4725
An arc is a portion of a circumference of a circle.
.0004809 X 10^11
3
24. (-1)^2 =
Diameter(Pi)
1
C = 2(pi)r
413.03 / 10^4 (move the decimal point 4 places to the left)
25. 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)?
y = (x + 5)/2
A tangent is a line that only touches one point on the circumference of a circle.
An angle which is supplementary to an interior angle.
III
26. What does the graph x^2 + y^2 = 64 look like?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A circle centered on the origin with radius 8.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
90 degrees
27. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
A reflection about the origin.
x(x - y + 1)
2sqrt6
IV
28. Can you add sqrt 3 and sqrt 5?
N! / (n-k)!
(b + c)
No - only like radicals can be added.
x^(4+7) = x^11
29. What is the 'domain' of a function?
The objects within a set.
The set of input values for a function.
Ax^2 + bx + c where a -b and c are constants and a /=0
An isosceles right triangle.
30. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
...multiply by 100.
1
A 30-60-90 triangle.
1
31. 0^0
A set with a number of elements which can be counted.
130pi
The overlapping sections.
Undefined
32. How many multiples does a given number have?
37.5%
Infinite.
4:5
1
33. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
28. n = 8 - k = 2. n! / k!(n-k)!
Infinite.
1 & 37/132
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?
Diameter(Pi)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
N! / (n-k)!
An angle which is supplementary to an interior angle.
35. Length of an arc of a circle?
48
$3 -500 in the 9% and $2 -500 in the 7%.
Angle/360 x 2(pi)r
4:5
36. What are congruent triangles?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
An expression with just one term (-6x - 2a^2)
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.
Triangles with same measure and same side lengths.
37. sqrt 2(sqrt 6)=
An angle which is supplementary to an interior angle.
Sqrt 12
(base*height) / 2
I
38. 6w^2 - w - 15 = 0
The interesection of A and B.
Sqrt 12
(amount of decrease/original price) x 100%
3/2 - 5/3
39. x^4 + x^7 =
1/a^6
x^(4+7) = x^11
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
C = 2(pi)r
40. 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?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
x^(2(4)) =x^8 = (x^4)^2
(amount of decrease/original price) x 100%
441000 = 1 10 10 10 21 * 21
41. What are the real numbers?
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 - b)(a + b)
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)
(a + b)^2
42. What is a chord of a circle?
180
A chord is a line segment joining two points on a circle.
N! / (n-k)!
(p + q)/5
43. 1/2 divided by 3/7 is the same as
1 & 37/132
1/2 times 7/3
90 degrees
27^(-4)
44. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
1.7
2sqrt6
Two angles whose sum is 90.
45. 10^6 has how many zeroes?
6
1:sqrt3:2
1
The two xes after factoring.
46. Legs: 3 - 4. Hypotenuse?
1/2 times 7/3
5
The curve opens upward and the vertex is the minimal point on the graph.
A = I (1 + rt)
47. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
F(x-c)
... the square of the ratios of the corresponding sides.
3
2 & 3/7
48. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
The second graph is less steep.
(a - b)^2
500
A circle centered at -2 - -2 with radius 3.
49. What is the 'Solution' for a set of inequalities.
Indeterminable.
C = 2(pi)r
The overlapping sections.
130pi
50. 3/8 in percent?
61 - 67
37.5%
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...
A grouping of the members within a set based on a shared characteristic.