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 factored version of (x+y)(x-y) ?
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.
2(pi)r(r+h)
Total distance/total time
x²-y²
2. The probability of an event happening and the probability of an event NOT happening must add up to what number?
1/3pir^2*h
1. Given event A: A + notA = 1.
T1 * r^(n-1)
1/x^a
3. In a parabola - if the first term is positive - the parabola ________.
1/2 h (b1 + b2)
Opens up
Not necessarily. This is a trick question - because x could be either positive or negative.
(a+b)(a²-ab+b²)
4. Diameter
(pi)r^2
The distance across the circle through the center of the circle.The diameter is twice the radius.
2x2x2x5x5
A median is the middle value of a set of numbers. For an odd number of values - it'S simply the middle number. For an even number of values - take the average of the center two values.
5. Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
A=?r2
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.
S*v2
6. Radius (Radii)
2l+2w
A segment connecting the center of a circle to any point on the circle
S*v2
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.
7. What is the formula for the diagonal of any square?
Sum of terms/number of terms
A(b+c) = ab + ac a(b-c) = ab - ac For example - 12(66) + 12(24) is the same as 12(66+24) - or 12(90) = 1 -080.
4s (where s = length of a side)
S*v2
8. Point-Slope form
y-y1=m(x-x1)
S² - where s = length of a side
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
(n degrees/360) * (pi)r^2
9. a²-2ab+b²
Pir^2h
1.7
(y-y1)=m(x-x1)
(a-b)²
10. Explain a method for quickly comparing fractions with different denominators - to determine which is larger.
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
11. What is the volume of a cylinder?
2x2x2x5x5
Middle term
(pi)r^2(h)
(a-b)²
12. What is the average?
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
Total distance/total time
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Sum of terms/number of terms
13. In a coordinate system - identify the quadrants and describe their location.
(y2-y1)/(x2-x1)
Arrangements - orders - schedules - or lists.
(x+y)²
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
14. When you reverse FOIL - the term that needs to multiply out is the _____
(x+y)(x-y)
Last term
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.
Less
15. What is the 'Third side' rule for triangles?
x² + 2xy + y²
½(b1 +b2) x h [or (b1 +b2) x h÷2]
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.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
16. perimeter of square
y = kx
4s
The average - mean - median - or mode.
Groups - teams - or committees.
17. Area of a trapezoid
(x+y)(x-y)
The four big angles are equal and the four small angles are equal
1/2 h (b1 + b2)
½(b1 +b2) x h [or (b1 +b2) x h÷2]
18. Volume of Cone
1/3pir^2*h
1/2 h (b1 + b2)
1.7
Probability A + Probability B
19. Volume of Cylinder
Pir^2h
(pi)r^2
(n-2)180
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.
20. Area of Square
S^2
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
A+b
(y-y1)=m(x-x1)
21. What is the side ratio for a 30:60:90 triangle?
2(pi)r
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
4/3pir^3
22. Volume of sphere
2 pi r
(x+y)(x-y)
Probability A * Probability B
4/3pir^3
23. Define the 'Third side' rule for triangles
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
24. Area of Trapezoid
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
1/2 h (b1 + b2)
Ac+ad+bc+bd
b±[vb²-4ac]/2a
25. How do you find the nth term of a geometric sequence?
?d OR 2?r
2Length + 2width [or (length + width) x 2]
Pi*d
T1 * r^(n-1)
26. What'S the most important thing to remember about charts you'll see on the GRE?
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.
An ange whose vertex is the center of the circle
2l+2w
(a-b)²
27. When a line crosses two parallel lines - ________.
Probability A + Probability B
The four big angles are equal and the four small angles are equal
S² - where s = length of a side
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.
28. What is the area of a triangle?
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.
Sqr( x2 -x1) + (y2- y1)
1/2bh
Total distance/total time
29. Area of a triangle
Equal
½(base x height) [or (base x height)÷2]
Bh
1.4
30. Quadratic Formula
The four big angles are equal and the four small angles are equal
(a-b)(a²+ab+b²)
b±[vb²-4ac]/2a
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
31. Area of a circle
?r²
2Length + 2width [or (length + width) x 2]
y = k/x
(pi)r^2(h)
32. Circumference Formula
Probability A * Probability B
2 pi r
C =?d
(y-y1)=m(x-x1)
33. What is the distance formula?
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.
Sqr( x2 -x1) + (y2- y1)
Groups - teams - or committees.
(n degrees/360) * 2(pi)r
34. x^-a =
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
S² - where s = length of a side
1/x^a
(n/2) * (t1+tn)
35. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
Opens down
4pir^2
The average - mean - median - or mode.
Probability A + Probability B
36. How do you multiply and divide square roots?
Ac+ad+bc+bd
The average - mean - median - or mode.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Opens down
37. In intersecting lines - opposite angles are _____.
?r²
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
Equal
A median is the middle value of a set of numbers. For an odd number of values - it'S simply the middle number. For an even number of values - take the average of the center two values.
38. Define a factorial of a number - and how it is written.
(n degrees/360) * 2(pi)r
1/x^a
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.
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.
39. For a bell curve - what three terms might be used to describe the number in the middle?
4/3pir^3
(a+b)²
The average - mean - median - or mode.
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.
40. If something is possible but not certain - what is the numeric range of probability of it happening?
(n/2) * (t1+tn)
The total # of possible outcomes.
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.
Between 0 and 1.
41. If something is certain to happen - how is the probability of this event expressed mathematically?
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
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.
1/1
x²-y²
42. Circumference of a circle using radius
2pi*r
1/3Bh
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.
2(pi)r(r+h)
43. Area of Circle
Opens down
Pi*r^2
2(pi)r(r+h)
?r²
44. To divide powers with the same base...
(pi)r^2
y = k/x
S*v2
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
45. What are the side ratios for a 30:60:90 triangle?
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
46. What is the area of a solid rectangle?
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
The four big angles are equal and the four small angles are equal
T1 * r^(n-1)/(r-1)
2(lw+wh+lh)
47. (a+b)(c+d)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
1.4
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.
Ac+ad+bc+bd
48. In a coordinate system - what is the origin?
Not necessarily. This is a trick question - because x could be either positive or negative.
T1 * r^(n-1)/(r-1)
(0 -0)
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.
49. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
N x M
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.
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.
50. What is 'absolute value' - and how is it represented?
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