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. a² - b² is equal to
1.7
The distance across the circle through the center of the circle.The diameter is twice the radius.
(pi)r^2(h)
(a+b)(a-b)
2. Define the mode of a set of numbers.
Probability A * Probability B
2x2x2x5x5
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'.
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.
3. What is inversely proportional?
1/3Bh
y = k/x
The average - mean - median - or mode.
Less
4. Define the formula for calculating slope.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Pi*d
?r²
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
5. a²-2ab+b²
(a-b)²
Less
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
6. Explain the special properties of zero.
1/1
b±[vb²-4ac]/2a
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 = kx
7. If something is certain to happen - how is the probability of this event expressed mathematically?
1.4
1/1
Not necessarily. This is a trick question - because x could be either positive or negative.
x°/360 times (2 pi r) - where x is the degrees in the angle
8. What is the average?
Sum of terms/number of terms
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.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
9. Volume of prism
Total distance/total time
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.
Bh
(pi)r^2
10. Define 'proportionate' values
A segment connecting the center of a circle to any point on the circle
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.
(x+y)²
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
11. Rough est. of v3 =
Number of desired outcomes/number of total outcomes
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
2x2x2x5x5
1.7
12. Area of Square
Pir^2h
Pi*d
2(pi)r(r+h)
S^2
13. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
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.
4s
(x1+x2)/2 - (y1+y2)/2
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.
14. Slope
(y2-y1)/(x2-x1)
Order does matter for a permutation - but does not matter for a combination.
Pi*r^2
x² -2xy + y²
15. What is the factored version of x² + 2xy + y² ?
(x+y)²
The average - mean - median - or mode.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Bh
16. a²+2ab+b²
Not necessarily. This is a trick question - because x could be either positive or negative.
(a+b)²
N x M
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
17. Define the 'Third side' rule for triangles
18. Area of rectangle - square - parallelogram
Pi*d
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.
The four big angles are equal and the four small angles are equal
A=bh
19. x^a * x^b = x^__
A+b
1.7
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.
?r²
20. What is the length of an arc?
Order does matter for a permutation - but does not matter for a combination.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
(n degrees/360) * 2(pi)r
N x M
21. What is the average speed?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
(a-b)(a²+ab+b²)
Total distance/total time
22. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
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.
y2-y1/x2-x1
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.
23. x^-a =
1/x^a
2Length + 2width [or (length + width) x 2]
½(base x height) [or (base x height)÷2]
Sum of terms/number of terms
24. What is the probability?
(x1+x2)/2 - (y1+y2)/2
?d OR 2?r
Number of desired outcomes/number of total outcomes
1/3pir^2*h
25. Rough est. of v1 =
(a-b)²
1
2(pi)r
A²-b²
26. If x² = 144 - does v144 = x?
Negative
Not necessarily. This is a trick question - because x could be either positive or negative.
Number of desired outcomes/number of total outcomes
Bh
27. Perimeter of a square
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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Pi*r^2
4s (where s = length of a side)
28. How do you calculate the surface area of a rectangular box?
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.
C =?d
Sum of terms/number of terms
Less
29. What is the volume of a solid rectangle?
x°/360 times (2 pi r) - where x is the degrees in the angle
Not necessarily. This is a trick question - because x could be either positive or negative.
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
Lwh
30. Area of a circle
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.
?r²
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.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
31. In a parabola - if the first term is negative - the parabola ________.
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.
Opens down
Total distance/total time
1.4
32. What is the unfactored version of (x-y)² ?
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.
(x+y)(x-y)
x² -2xy + y²
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
33. perimeter of square
4s
2l+2w
Less
A segment connecting the center of a circle to any point on the circle
34. How do you find the nth term of a geometric sequence?
2(pi)r(r+h)
The distance from one point on the circle to another point on the circle.
T1 * r^(n-1)
Percentage Change = Difference/Original * 100
35. When you reverse FOIL - the term that needs to add out is the _____
Middle term
Sqr( x2 -x1) + (y2- y1)
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Lwh
36. Radius (Radii)
2pir^2 + 2pir*h
(a-b)(a²+ab+b²)
A segment connecting the center of a circle to any point on the circle
x² -2xy + y²
37. What is the unfactored version of (x+y)² ?
1/3pir^2*h
x² + 2xy + y²
T1 * r^(n-1)/(r-1)
The average - mean - median - or mode.
38. a³+b³
Lwh
1.7
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
(a+b)(a²-ab+b²)
39. When you reverse FOIL - the term that needs to multiply out is the _____
Last term
The four big angles are equal and the four small angles are equal
(x+y)²
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
40. Lines reflected over the x or y axis have ____ slopes.
Negative
Groups - teams - or committees.
The total # of possible outcomes.
Not necessarily. This is a trick question - because x could be either positive or negative.
41. What is a '30:60:90' triangle?
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.
Percentage Change = Difference/Original * 100
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
y-y1=m(x-x1)
42. What are the side ratios for a 30:60:90 triangle?
2pi*r
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x 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.
(0 -0)
43. How do you find the nth term of an arithmetic sequence?
The set of points which are all the same distance (the radius) from a certain point (the center).
Lw
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
T1 + (n-1)d
44. What'S a handy rough estimate for a circle'S perimeter - if you know it'S diameter?
45. Sector
(x1+x2)/2 - (y1+y2)/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.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.
46. What is the 'distributive law'?
1. Given event A: A + notA = 1.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
47. Does order matter for a permutation? How about for a combination?
(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.
Order does matter for a permutation - but does not matter for a combination.
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.
48. a³-b³
(a-b)(a²+ab+b²)
A segment connecting the center of a circle to any point on the circle
(pi)r^2(h)
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'.
49. Volume of pyramid
An ange whose vertex is the center of the circle
y = k/x
1/3Bh
(n-2)180
50. What is the surface area of a cylinder?
2(pi)r(r+h)
Opens up
(y-y1)=m(x-x1)
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