SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
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. 25^(1/2) or sqrt. 25 =
5 OR -5
Two angles whose sum is 180.
72
The longest arc between points A and B on a circle'S diameter.
2. 2sqrt4 + sqrt4 =
4a^2(b)
3sqrt4
Undefined - because we can'T divide by 0.
37.5%
3. What number between 70 & 75 - inclusive - has the greatest number of factors?
C = (pi)d
10! / (10-3)! = 720
The set of output values for a function.
72
4. What is the measure of an exterior angle of a regular pentagon?
53 - 59
A circle centered at -2 - -2 with radius 3.
(base*height) / 2
72
5. What is the order of operations?
The set of elements which can be found in either A or B.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Lies opposite the greater angle
37.5%
6. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
31 - 37
37.5%
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
x^(2(4)) =x^8 = (x^4)^2
7. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
(amount of decrease/original price) x 100%
Its negative reciprocal. (-b/a)
All numbers multiples of 1.
8. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
The sum of its digits is divisible by 3.
Area of the base X height = (pi)hr^2
1
9. The objects in a set are called two names:
Members or elements
x(x - y + 1)
Triangles with same measure and same side lengths.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
10. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
The steeper the slope.
C = 2(pi)r
3
8
11. Find the surface area of a cylinder with radius 3 and height 12.
31 - 37
An isosceles right triangle.
90pi
1:sqrt3:2
12. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
61 - 67
IV
70
13. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
1:1:sqrt2
1:sqrt3:2
y = (x + 5)/2
A circle centered at -2 - -2 with radius 3.
14. When the 'a' in a parabola is positive....
1.0843 X 10^11
The curve opens upward and the vertex is the minimal point on the graph.
An isosceles right triangle.
6
15. What is the set of elements found in both A and B?
The empty set - denoted by a circle with a diagonal through it.
True
Part = Percent X Whole
The interesection of A and B.
16. Define a 'monomial'
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Part = Percent X Whole
A set with no members - denoted by a circle with a diagonal through it.
An expression with just one term (-6x - 2a^2)
17. 1/8 in percent?
90 degrees
Cd
12.5%
The curve opens downward and the vertex is the maximum point on the graph.
18. Simplify 9^(1/2) X 4^3 X 2^(-6)?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The sum of its digits is divisible by 3.
3
Triangles with same measure and same side lengths.
19. Factor a^2 + 2ab + b^2
3
(a + b)^2
180 degrees
The set of output values for a function.
20. Factor x^2 - xy + x.
x(x - y + 1)
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...
.0004809 X 10^11
An infinite set.
21. a^2 - 2ab + b^2
A reflection about the axis.
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
(a - b)^2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
22. The slope of a line perpendicular to (a/b)?
$11 -448
Divide by 100.
Its negative reciprocal. (-b/a)
The greatest value minus the smallest.
23. What is a piecewise equation?
20.5
3 - -3
(a - b)(a + b)
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
24. Surface area for a cylinder?
9 : 25
2(pi)r^2 + 2(pi)rh
The interesection of A and B.
4725
25. Formula to calculate arc length?
10! / 3!(10-3)! = 120
Arc length = (n/360) x pi(2r) where n is the number of degrees.
0
A circle centered at -2 - -2 with radius 3.
26. 30< all primes<40
The overlapping sections.
31 - 37
3sqrt4
13pi / 2
27. 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?
20.5
N! / (n-k)!
1
Even
28. How many multiples does a given number have?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
A reflection about the origin.
An arc is a portion of a circumference of a circle.
Infinite.
29. Legs: 3 - 4. Hypotenuse?
5
1:sqrt3:2
48
180 degrees
30. P and r are factors of 100. What is greater - pr or 100?
Divide by 100.
The direction of the inequality is reversed.
6
Indeterminable.
31. What are the irrational numbers?
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
32. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
G(x) = {x}
The direction of the inequality is reversed.
The sum of its digits is divisible by 3.
33. sqrt 2(sqrt 6)=
4096
Sqrt 12
2sqrt6
31 - 37
34. Order of quadrants:
2sqrt6
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
From northeast - counterclockwise. I - II - III - IV
The sum of its digits is divisible by 3.
35. Volume for a cylinder?
The empty set - denoted by a circle with a diagonal through it.
Area of the base X height = (pi)hr^2
x^(6-3) = x^3
Sqrt 12
36. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
0
2
... the square of the ratios of the corresponding sides.
37. Which quadrant is the upper left hand?
The point of intersection of the systems.
10
II
x^(2(4)) =x^8 = (x^4)^2
38. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
13pi / 2
The point of intersection of the systems.
The union of A and B.
39. What are the real numbers?
2 & 3/7
The set of output values for a function.
Ax^2 + bx + c where a -b and c are constants and a /=0
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)
40. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
16.6666%
The objects within a set.
An isosceles right triangle.
$11 -448
41. If the two sides of a triangle are unequal then the longer side...
The sum of digits is divisible by 9.
Lies opposite the greater angle
1/(x^y)
83.333%
42. x^6 / x^3
The longest arc between points A and B on a circle'S diameter.
x^(6-3) = x^3
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The second graph is less steep.
43. 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?
Undefined - because we can'T divide by 0.
1.7
130pi
10! / (10-3)! = 720
44. What is an exterior angle?
An angle which is supplementary to an interior angle.
1
27^(-4)
4a^2(b)
45. 3/8 in percent?
1
(a + b)^2
37.5%
The sum of digits is divisible by 9.
46. (6sqrt3) x (2sqrt5) =
When the function is not defined for all real numbers -; only a subset of the real numbers.
A circle centered on the origin with radius 8.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
4a^2(b)
47. a^2 - b^2
$11 -448
18
(a - b)(a + b)
The third side is greater than the difference and less than the sum.
48. (a^-1)/a^5
87.5%
(a - b)(a + b)
1/a^6
10
49. x^(-y)=
The third side is greater than the difference and less than the sum.
28. n = 8 - k = 2. n! / k!(n-k)!
C = 2(pi)r
1/(x^y)
50. What is the 'Range' of a function?
55%
4:5
28. n = 8 - k = 2. n! / k!(n-k)!
The set of output values for a function.