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 2
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. Circumference of a circle using radius
A segment connecting the center of a circle to any point on the circle
x² + 2xy + y²
(pi)r^2
2pi*r
2. How do you find the midpoint?
(x1+x2)/2 - (y1+y2)/2
Order does matter for a permutation - but does not matter for a combination.
The four big angles are equal and the four small angles are equal
b±[vb²-4ac]/2a
3. Area of Rectangle
Pi*d
Lw
The part of a circle that looks like a piece of pie. A sector is bounded by 2 radii and an arc of the circle.
½(base x height) [or (base x height)÷2]
4. What is the formula for the diagonal of any square?
S*v2
?r²
Opens down
(a-b)(a²+ab+b²)
5. Explain the difference between a digit and a number.
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
6. How do you multiply powers with the same base?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
?r²
Multiply each numerator by the other fraction'S denominator. Example: 3/7 and 7/12. Multiply 312 = 36 - and 77 = 49. If you completed the full calculation - you'd also cross-multiply the denominators - but you don'T have to in order to compare values
x² -2xy + y²
7. What must be true before a quadratic equation can be solved?
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
8. Define the mode of a set of numbers.
1/3pir^2*h
The mode is the number in a set that occurs most frequently. Example: for the set {3 -6 -3 -8 -9 -3 -11} the number 3 appears most frequently so it is the mode.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
x² + 2xy + y²
9. If something is certain to happen - how is the probability of this event expressed mathematically?
Part of a circle connecting two points on the circle.
1/1
That they often have not just one answer - but two. For example - solving x² -10x + 24 = 0 factors to (x-4)(x-6)=0 - which means x could equal either 4 or 6. Just accept it.
4pir^2
10. What is the factored version of (x+y)(x-y) ?
Sqr( x2 -x1) + (y2- y1)
This is an equilateral triangle that has been divided along its height. Interior angles are 30:60:90 degrees. Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse. This allows you to deduce any side - given
x²-y²
Pir^2h
11. Volume of sphere
?d OR 2?r
1.7
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
4/3pir^3
12. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
b±[vb²-4ac]/2a
That they often have not just one answer - but two. For example - solving x² -10x + 24 = 0 factors to (x-4)(x-6)=0 - which means x could equal either 4 or 6. Just accept it.
x°/360 times (2 pi r) - where x is the degrees in the angle
2 pi r
13. What'S the most important thing to remember about charts you'll see on the GRE?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
That - unlike a normal chart - they are constructed to HIDE information or make it HARDER to understand. Be sure to scroll down - read everything - and look carefully for hidden information - asterisks - footnotes - small print - and funny units.
1.7
Multiply each numerator by the other fraction'S denominator. Example: 3/7 and 7/12. Multiply 312 = 36 - and 77 = 49. If you completed the full calculation - you'd also cross-multiply the denominators - but you don'T have to in order to compare values
14. Circumference of cirlce using diameter
(pi)r^2
1
Pi*d
Calculate and add the areas of all of 6 its sides.Example: for a rectangle with dimensions 2 x 3 x 4 - there will be 2 sides each - for each combination of these dimensions. That is - 2 each of 2x3 - 2 each of 3x4 - and 2 each of 4x2.
15. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
2(pi)r(r+h)
An isoceles right angle. Remember that interior angles are 90:45:45 degrees. The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
1. Raising a fraction (between 0 and 1) to a power greater than 1 results in a SMALLER number. For example: (1/2)² = 1/4.2. A number raised to the 0 power is 1 - no matter what the number is. For example: 1 -287° = 1.
1.7
16. Volume of prism
Bh
(a-b)(a+b)
1/3pir^2*h
(x1+x2)/2 - (y1+y2)/2
17. How do you calculate the percentage of change?
Percentage Change = Difference/Original * 100
2(pi)r(r+h)
1. Given event A: A + notA = 1.
Absolute value is a number'S distance away from zero on the number line. It is always positive - regardless of whether the number is positive or negative. It is represented with | |. For example - |-5| = 5 - and |5| = 5.
18. Rough est. of v2 =
1.4
Number of desired outcomes/number of total outcomes
1/2bh
1/1
19. The probability of an event happening and the probability of an event NOT happening must add up to what number?
Sum of terms/number of terms
1/2 h (b1 + b2)
2lw+2lh+2wh
1. Given event A: A + notA = 1.
20. When you reverse FOIL - the term that needs to multiply out is the _____
Last term
2(pi)r
Sum of terms/number of terms
The total # of possible outcomes.
21. Perimeter of a square
2 pi r
A²-b²
Opens down
4s (where s = length of a side)
22. What is the distance formula?
Calculate and add the areas of all of 6 its sides.Example: for a rectangle with dimensions 2 x 3 x 4 - there will be 2 sides each - for each combination of these dimensions. That is - 2 each of 2x3 - 2 each of 3x4 - and 2 each of 4x2.
y2-y1/x2-x1
Percentage Change = Difference/Original * 100
Sqr( x2 -x1) + (y2- y1)
23. Surface Area of Sphere
Pi*r^2
2(pi)r
y = mx + b -- where: x -y are the coordinates of any point on the line (allows you to locate) m is the slope of the line b is the intercept (where the line crosses the y-axis) - Sometimes on the GRE - 'a' is substituted for 'm' - as in 'y = ax + b'.
4pir^2
24. How do you find the nth term of an arithmetic sequence?
A segment connecting the center of a circle to any point on the circle
S*v2
T1 + (n-1)d
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
25. What is the area of a circle?
(a-b)²
Sum of the lengths of the sides
That they often have not just one answer - but two. For example - solving x² -10x + 24 = 0 factors to (x-4)(x-6)=0 - which means x could equal either 4 or 6. Just accept it.
(pi)r^2
26. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
1. Factored: x² - y² Unfactored: (x+y)(x-y) 2. Factored: (x+y)² Unfactored: x² + 2xy + y² 3. Factored: (x-y)² Unfactored: x² - 2xy + y²
2l+2w
N x M
Not necessarily. This is a trick question - because x could be either positive or negative.
27. What is the area of a sector?
(n degrees/360) * (pi)r^2
Groups - teams - or committees.
A²-b²
T1 + (n-1)d
28. What'S a handy rough estimate for a circle'S perimeter - if you know it'S diameter?
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
29. perimeter of square
4s
A+b
Middle term
(a-b)(a²+ab+b²)
30. What is the average?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
2(pi)r
A digit is a number that makes up other numbers. There are ten digits: 0 -1 -2 -3 -4 -5 -6 -7 -8 -9. Every 'number' is made up of one or more digits. For example - the number 528 is made up of three digits - a 5 - a 2 - and an 8.
Sum of terms/number of terms
31. How do you find the sum of a geometric sequence?
(n/2) * (t1+tn)
Pi*d
T1 * r^(n-1)/(r-1)
Sqr( x2 -x1) + (y2- y1)
32. x^-a =
The length of any one side of a triangle must be less than the sum of the other two sides. It must also be greater than the difference between the other two sides. So - 'A' will always be < B+C - and > B-C or C-B.
(x+y)(x-y)
1/x^a
A+b
33. How do you calculate a diagonal inside a 3-dimensional rectangular box?
2Length + 2width [or (length + width) x 2]
Lwh
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Pi*d
34. What is the circumference of a circle?
Pi*d
x°/360 times (2 pi r) - where x is the degrees in the angle
(x-y)²
2(pi)r
35. In a parabola - if the first term is positive - the parabola ________.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Opens up
Multiply all elements of both sides of the equation by 2 (the denominator of the fraction). This will produce 10x + 3 = 14x. Solve from there: 3 = 4x - x = 3/4.
Less
36. What is the point-slope form?
4pir^2
2lw+2lh+2wh
x² -2xy + y²
(y-y1)=m(x-x1)
37. Define the median of a set of numbers - and how to find it for an odd and even number of values in a set.
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
38. What is the unfactored version of (x+y)² ?
1/2bh
T1 * r^(n-1)/(r-1)
Groups - teams - or committees.
x² + 2xy + y²
39. x^a * x^b = x^__
x² -2xy + y²
A+b
2lw+2lh+2wh
The distance across the circle through the center of the circle.The diameter is twice the radius.
40. Area of Parallelogram
Bh
(n/2) * (t1+tn)
Last term
y2-y1/x2-x1
41. Point-Slope form
4s (where s = length of a side)
x² + 2xy + y²
y-y1=m(x-x1)
The mode is the number in a set that occurs most frequently. Example: for the set {3 -6 -3 -8 -9 -3 -11} the number 3 appears most frequently so it is the mode.
42. What is the sum of the inside angles of an n-sided polygon?
(n-2)180
(pi)r^2
The four big angles are equal and the four small angles are equal
2(lw+wh+lh)
43. Circumference Formula
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
C =?d
The distance across the circle through the center of the circle.The diameter is twice the radius.
1. Given event A: A + notA = 1.
44. Perimeter of rectangle
Bh
A digit is a number that makes up other numbers. There are ten digits: 0 -1 -2 -3 -4 -5 -6 -7 -8 -9. Every 'number' is made up of one or more digits. For example - the number 528 is made up of three digits - a 5 - a 2 - and an 8.
Sum of terms/number of terms
2l+2w
45. a³+b³
N x M
1/3pir^2*h
(a+b)(a²-ab+b²)
Probability A + Probability B
46. Area of Square
y = kx
Total distance/total time
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
S^2
47. How do you multiply and divide square roots?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
A+b
The equation must be set equal to zero. If during the test one appears that'S not - before you can solve it you must first manipulate it so it is equal to zero.
C =?d
48. Define the range of a set of numbers.
The range is the difference between the biggest and smallest numbers in the set. Example: for the set {2 -6 -13 -3 -15 -4 -9} the smallest number is 2 - largest is 15 - so the range is 15-2=13.
1.4
(a+b)(a-b)
The distance from one point on the circle to another point on the circle.
49. What is the equation of a line?
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
50. (a+b)(a-b)=
Middle term
S*v2
A²-b²
Total distance/total time
Sorry!:) No result found.
Can you answer 50 questions in 15 minutes?
Let me suggest you:
Browse all subjects
Browse all tests
Most popular tests
Major Subjects
Tests & Exams
AP
CLEP
DSST
GRE
SAT
GMAT
Certifications
CISSP go to https://www.isc2.org/
PMP
ITIL
RHCE
MCTS
More...
IT Skills
Android Programming
Data Modeling
Objective C Programming
Basic Python Programming
Adobe Illustrator
More...
Business Skills
Advertising Techniques
Business Accounting Basics
Business Strategy
Human Resource Management
Marketing Basics
More...
Soft Skills
Body Language
People Skills
Public Speaking
Persuasion
Job Hunting And Resumes
More...
Vocabulary
GRE Vocab
SAT Vocab
TOEFL Essential Vocab
Basic English Words For All
Global Words You Should Know
Business English
More...
Languages
AP German Vocab
AP Latin Vocab
SAT Subject Test: French
Italian Survival
Norwegian Survival
More...
Engineering
Audio Engineering
Computer Science Engineering
Aerospace Engineering
Chemical Engineering
Structural Engineering
More...
Health Sciences
Basic Nursing Skills
Health Science Language Fundamentals
Veterinary Technology Medical Language
Cardiology
Clinical Surgery
More...
English
Grammar Fundamentals
Literary And Rhetorical Vocab
Elements Of Style Vocab
Introduction To English Major
Complete Advanced Sentences
Literature
Homonyms
More...
Math
Algebra Formulas
Basic Arithmetic: Measurements
Metric Conversions
Geometric Properties
Important Math Facts
Number Sense Vocab
Business Math
More...
Other Major Subjects
Science
Economics
History
Law
Performing-arts
Cooking
Logic & Reasoning
Trivia
Browse all subjects
Browse all tests
Most popular tests