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. 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
2. In intersecting lines - opposite angles are _____.
2x2x2x5x5
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
1/3pir^2*h
Equal
3. When you reverse FOIL - the term that needs to multiply out is the _____
1.7
x² -2xy + y²
Last term
1. Given event A: A + notA = 1.
4. Define the range of a set of numbers.
Order does matter for a permutation - but does not matter for a combination.
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.
?r²
(y-y1)=m(x-x1)
5. Area of Parallelogram
The length of any one side of a triangle must be less than the sum of the other two sides - and greater than the difference between the other two sides.
Bh
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
1/1
6. a²-b²
C =?d
Percentage Change = Difference/Original * 100
4s (where s = length of a side)
(a-b)(a+b)
7. What is the length of an arc?
(n degrees/360) * 2(pi)r
2(pi)r(r+h)
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.
2(pi)r
8. How do you find the midpoint?
Lw
1/2 h (b1 + b2)
Between 0 and 1.
(x1+x2)/2 - (y1+y2)/2
9. What is the area of a cylinder?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
1/2 h (b1 + b2)
2(pi)r(r+h)
y = k/x
10. What is the formula for the diagonal of any square?
S*v2
y2-y1/x2-x1
(a-b)(a²+ab+b²)
(x+y)(x-y)
11. What is directly proportional?
1/3pir^2*h
1.7
(n degrees/360) * 2(pi)r
y = kx
12. Volume of prism
Not necessarily. This is a trick question - because x could be either positive or negative.
Bh
Equal
1/3Bh
13. What is the volume of a solid rectangle?
x² + 2xy + y²
The total # of possible outcomes.
Lwh
An ange whose vertex is the center of the circle
14. How do you calculate a diagonal inside a 3-dimensional rectangular box?
Last term
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
(x1+x2)/2 - (y1+y2)/2
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
15. What is a 'Right isosceles' triangle?
A+b
x°/360 times (2 pi r) - where x is the degrees in the angle
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
This triangle is a square divided along its diagonal. Interior angles are 90:45:45 degrees. The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
16. Lines reflected over the x or y axis have ____ slopes.
Negative
2pi*r
Pir^2h
1/1
17. Area of a circle
?r²
S² - where s = length of a side
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
The total # of possible outcomes.
18. Area of Circle
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
(n degrees/360) * 2(pi)r
Pi*r^2
Probability A * Probability B
19. What is inversely proportional?
(a-b)(a+b)
Pir^2h
y = k/x
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.
20. length of a sector
x°/360 times (2 pi r) - where x is the degrees in the angle
A segment connecting the center of a circle to any point on the circle
The total # of possible outcomes.
S² - where s = length of a side
21. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
x²-y²
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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
22. Volume of Cone
4s (where s = length of a side)
S^2
1/3pir^2*h
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.
23. What is the area of a circle?
A+b
The total # of possible outcomes.
(pi)r^2
4s
24. Surface Area of rectangular prism
The distance from one point on the circle to another point on the circle.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
½(base x height) [or (base x height)÷2]
2lw+2lh+2wh
25. What is the average?
Sum of terms/number of terms
Less
2(pi)r(r+h)
(n-2)180
26. List two odd behaviors of exponents
Bh
T1 + (n-1)d
2(lw+wh+lh)
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.
27. What are the side ratios for a 30:60:90 triangle?
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
(a+b)(a-b)
(a+b)²
28. a²-2ab+b²
(a-b)²
A=bh
1.4
Sqr( x2 -x1) + (y2- y1)
29. Volume of Cylinder
Pir^2h
(n degrees/360) * (pi)r^2
½(b1 +b2) x h [or (b1 +b2) x h÷2]
½(base x height) [or (base x height)÷2]
30. Area of Square
S^2
2pir^2 + 2pir*h
Between 0 and 1.
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.
31. Central Angle
(pi)r^2
y-y1=m(x-x1)
An ange whose vertex is the center of the circle
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
32. Arc
Part of a circle connecting two points on the circle.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(x-y)²
x°/360 times (?r²) - where x is the degrees in the angle
33. What number goes on the bottom of a probability fraction?
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.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Sum of terms/number of terms
The total # of possible outcomes.
34. Area of a trapezoid
½(b1 +b2) x h [or (b1 +b2) x h÷2]
2(pi)r(r+h)
2(pi)r(r+h)
A segment connecting the center of a circle to any point on the circle
35. What is the area of a triangle?
Arrangements - orders - schedules - or lists.
Between 0 and 1.
?r²
1/2bh
36. Radius (Radii)
4s (where s = length of a side)
A segment connecting the center of a circle to any point on the circle
x² + 2xy + y²
2lw+2lh+2wh
37. What do combination problems usually ask for?
1.4
Pir^2h
Groups - teams - or committees.
Arrangements - orders - schedules - or lists.
38. How do you solve a permutation?
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
1. Figure out how many slots you have (i.e. there are 3 winning positions in a race - 1st - 2nd - and 3rd) 2. Write down the number of possible options for each slot (i.e. 5 runners in the race - so 5 options for the 1st slot - 4 options for the 2nd
2l+2w
2(pi)r
39. The probability of an event happening and the probability of an event NOT happening must add up to what number?
1. Given event A: A + notA = 1.
(a+b)(a²-ab+b²)
2x2x2x5x5
The four big angles are equal and the four small angles are equal
40. Surface Area of Cylinder
The four big angles are equal and the four small angles are equal
(a+b)(a-b)
2pir^2 + 2pir*h
2(pi)r(r+h)
41. What is the distance formula?
Sqr( x2 -x1) + (y2- y1)
Negative
1/x^a
Lw
42. x^a * x^b = x^__
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.
2(pi)r(r+h)
½(b1 +b2) x h [or (b1 +b2) x h÷2]
A+b
43. Area of a triangle
4s (where s = length of a side)
Zero is even. It is an integer. It is neither positive nor negative. Zero multiplied by any other number = zero. You cannot divide by zero.
½(base x height) [or (base x height)÷2]
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
44. Perimeter of a rectangle
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.
2Length + 2width [or (length + width) x 2]
Zero is even. It is an integer. It is neither positive nor negative. Zero multiplied by any other number = zero. You cannot divide by zero.
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'.
45. Chord
Pi*r^2
The factorial of a number is that number times every positive whole number smaller than that number - down to 1. Example: 6! means the factorial of 6 - which = 65432*1 = 720.
The distance from one point on the circle to another point on the circle.
Bh
46. What is a '30:60:90' triangle?
Groups - teams - or committees.
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.
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
2(lw+wh+lh)
47. Circumference of a circle using radius
Order does matter for a permutation - but does not matter for a combination.
(a-b)(a²+ab+b²)
Equal
2pi*r
48. What is an 'equilateral' triangle?
The distance from one point on the circle to another point on the circle.
1/1
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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
49. How do you find the nth term of a geometric sequence?
1
y = k/x
(a+b)²
T1 * r^(n-1)
50. 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
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