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. Point-Slope form
1/3pir^2*h
x²-y²
A+b
y-y1=m(x-x1)
2. Volume of prism
(a+b)(a-b)
Bh
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.
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.
3. Surface Area of Sphere
Total distance/total time
x°/360 times (?r²) - where x is the degrees in the angle
(y2-y1)/(x2-x1)
4pir^2
4. How do you find the nth term of a geometric sequence?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
S*v2
T1 * r^(n-1)
1/3pir^2*h
5. Perimeter of a rectangle
N x M
2Length + 2width [or (length + width) x 2]
(a-b)(a+b)
4/3pir^3
6. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
2pi*r
The set of points which are all the same distance (the radius) from a certain point (the center).
(a-b)²
N x M
7. What is the area of a cylinder?
(x-y)²
2x2x2x5x5
2(pi)r(r+h)
4/3pir^3
8. Surface Area of Cylinder
2pir^2 + 2pir*h
T1 * r^(n-1)
x°/360 times (?r²) - where x is the degrees in the angle
(x+y)(x-y)
9. Diameter
(x-y)²
Part of a circle connecting two points on the circle.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
The distance across the circle through the center of the circle.The diameter is twice the radius.
10. Volume of pyramid
1/3Bh
T1 * r^(n-1)
Bh
(x-y)²
11. What is the probability?
(n degrees/360) * (pi)r^2
Number of desired outcomes/number of total outcomes
Bh
2l+2w
12. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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.
S^2
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.
2pi*r
13. What is an 'equilateral' triangle?
(pi)r^2
The distance across the circle through the center of the circle.The diameter is twice the radius.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
4/3pir^3
14. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
S² - where s = length of a side
Number of desired outcomes/number of total outcomes
Bh
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.
15. How do you find the sum of a geometric sequence?
(y-y1)=m(x-x1)
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.
x²-y²
T1 * r^(n-1)/(r-1)
16. What is the unfactored version of (x-y)² ?
x² -2xy + y²
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Less
T1 * r^(n-1)/(r-1)
17. How do you find the midpoint?
2 pi r
Bh
An ange whose vertex is the center of the circle
(x1+x2)/2 - (y1+y2)/2
18. Chord
(x-y)²
Sum of terms/number of terms
The distance from one point on the circle to another point on the circle.
b±[vb²-4ac]/2a
19. What is the point-slope form?
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'.
S*v2
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.
(y-y1)=m(x-x1)
20. 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
21. If something is possible but not certain - what is the numeric range of probability of it happening?
(a-b)(a+b)
2(pi)r(r+h)
1/1
Between 0 and 1.
22. What is the sum of the inside angles of an n-sided polygon?
½(base x height) [or (base x height)÷2]
2(pi)r
T1 + (n-1)d
(n-2)180
23. (a+b)(c+d)
Ac+ad+bc+bd
y = kx
The four big angles are equal and the four small angles are equal
C =?d
24. length of a sector
4pir^2
(a+b)(a²-ab+b²)
x°/360 times (2 pi r) - where x is the degrees in the angle
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.
25. How do you calculate the surface area of a rectangular box?
2(pi)r
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
26. Area of Circles
(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.
A=?r2
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.
27. Volume of sphere
4s
4/3pir^3
Equal
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
28. In a parabola - if the first term is positive - the parabola ________.
2pi*r
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Opens up
Sum of terms/number of terms
29. Quadratic Formula
2(lw+wh+lh)
b±[vb²-4ac]/2a
Sum of the lengths of the sides
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.
30. Define 'proportionate' values
An ange whose vertex is the center of the circle
1. Given event A: A + notA = 1.
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.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
31. Define the formula for calculating slope.
2Length + 2width [or (length + width) x 2]
1/3pir^2*h
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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
32. Perimeter (circumference) of a circle
(y-y1)=m(x-x1)
A=?r2
2 pi r
(x1+x2)/2 - (y1+y2)/2
33. How do you calculate the percentage of change?
Negative
Percentage Change = Difference/Original * 100
1.7
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
34. x^-a =
1/x^a
An ange whose vertex is the center of the circle
Not necessarily. This is a trick question - because x could be either positive or negative.
(x+y)(x-y)
35. Circumference of cirlce using diameter
S*v2
Pi*d
½(base x height) [or (base x height)÷2]
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.
36. x^a * x^b = x^__
(y2-y1)/(x2-x1)
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.
A+b
Probability A * Probability B
37. In a parabola - if the first term is negative - the parabola ________.
Pi*r^2
2(pi)r(r+h)
An ange whose vertex is the center of the circle
Opens down
38. When you reverse FOIL - the term that needs to add out is the _____
Middle term
A=?r2
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.
39. How do you multiply powers with the same base?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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.
1.7
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.
40. How do you find the sum of an arithmetic sequence?
(n/2) * (t1+tn)
A+b
(n degrees/360) * (pi)r^2
2(pi)r(r+h)
41. 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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
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.
The average - mean - median - or mode.
42. How do you find the slope?
2l+2w
The total # of possible outcomes.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
y2-y1/x2-x1
43. Area of a circle
Sum of the lengths of the sides
S*v2
?r²
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.
44. Explain the special properties of zero.
Pi*r^2
y = kx
(pi)r^2(h)
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.
45. What is the factored version of x² + 2xy + y² ?
S*v2
A=bh
(x+y)²
Pi*r^2
46. List two odd behaviors of exponents
Equal
(a+b)²
T1 * r^(n-1)
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.
47. a³-b³
(a-b)(a²+ab+b²)
4pir^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.
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.
48. What is the area of a solid rectangle?
(a-b)(a+b)
2(lw+wh+lh)
1/3Bh
(0 -0)
49. Area of rectangle - square - parallelogram
2pi*r
2 pi r
Order does matter for a permutation - but does not matter for a combination.
A=bh
50. Area of a triangle
?d OR 2?r
Not necessarily. This is a trick question - because x could be either positive or negative.
½(base x height) [or (base x height)÷2]
2x2x2x5x5