GRE Math 2

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. For a bell curve - what three terms might be used to describe the number in the middle?
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.
2Length + 2width [or (length + width) x 2]
Sum of the lengths of the sides
The average - mean - median - or mode.


2. What is the 'distributive law'?
Negative
N x M
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.
2 pi r


3. What is the factored version of x² -2xy + y² ?
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
(x-y)²
The distance across the circle through the center of the circle.The diameter is twice the radius.
Last term


4. What is the point-slope form?
The four big angles are equal and the four small angles are equal
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
(y-y1)=m(x-x1)
1/1


5. In a parabola - if the first term is positive - the parabola ________.
Opens up
Sum of the lengths of the sides
(x1+x2)/2 - (y1+y2)/2
2x2x2x5x5


6. What'S a handy rough estimate for a circle'S perimeter - if you know it'S diameter?

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7. Radius (Radii)
(y-y1)=m(x-x1)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
A segment connecting the center of a circle to any point on the circle
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.


8. Area of rectangle - square - parallelogram
Number of desired outcomes/number of total outcomes
Less
A=bh
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.


9. What is the factored version of (x+y)(x-y) ?
1/1
2lw+2lh+2wh
x²-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.


10. What is the equation of a line?

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11. What is an 'equilateral' triangle?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
1/1
T1 + (n-1)d
A segment connecting the center of a circle to any point on the circle


12. Define 'proportionate' values
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
½(base x height) [or (base x height)÷2]
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.
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.


13. What is the volume of a cylinder?
x°/360 times (2 pi r) - where x is the degrees in the angle
(pi)r^2(h)
y = k/x
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.


14. If something is possible but not certain - what is the numeric range of probability of it happening?
1/1
1/2bh
4pir^2
Between 0 and 1.


15. Quadratic Formula
A²-b²
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.
b±[vb²-4ac]/2a
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.


16. What is the 'Third side' rule for triangles?
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.
S^2
(x+y)(x-y)
A²-b²


17. Surface Area of Sphere
Percentage Change = Difference/Original * 100
2l+2w
4pir^2
2(pi)r


18. a³+b³
2l+2w
y2-y1/x2-x1
(a+b)(a²-ab+b²)
(pi)r^2(h)


19. When you reverse FOIL - the term that needs to multiply out is the _____
Last term
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.
Ac+ad+bc+bd
A=?r2


20. What is the average speed?
(x+y)(x-y)
1. Given event A: A + notA = 1.
Total distance/total time
T1 * r^(n-1)


21. How do you calculate the percentage of change?
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.
Percentage Change = Difference/Original * 100
Less
1.7


22. Rough est. of v3 =
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.
1.7
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.
1/2bh


23. perimeter of square
4s
2pi*r
Lw
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.


24. length of a sector
Less
(x-y)²
y2-y1/x2-x1
x°/360 times (2 pi r) - where x is the degrees in the angle


25. Circumference of cirlce using diameter
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.
x²-y²
2(pi)r(r+h)
Pi*d


26. Area of a triangle
½(base x height) [or (base x height)÷2]
1/3pir^2*h
x°/360 times (2 pi r) - where x is the degrees in the angle
y = k/x


27. Explain a method for quickly comparing fractions with different denominators - to determine which is larger.

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28. What is the length of an arc?
4s (where s = length of a side)
(n degrees/360) * 2(pi)r
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.
(n/2) * (t1+tn)


29. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
Arrangements - orders - schedules - or lists.
Not necessarily. This is a trick question - because x could be either positive or negative.
Probability A + Probability B
4s (where s = length of a side)


30. Volume of Cone
1/3pir^2*h
(pi)r^2(h)
Less
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.


31. What number goes on the bottom of a probability fraction?
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.
(a-b)(a+b)
Equal
The total # of possible outcomes.


32. Define the mode of a set of numbers.
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'.
(pi)r^2(h)
½(b1 +b2) x h [or (b1 +b2) x h÷2]
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.


33. Central Angle
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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
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.


34. What is inversely proportional?
2 pi r
y = k/x
4pir^2
(y2-y1)/(x2-x1)


35. What is the unfactored version of (x-y)² ?
x² -2xy + y²
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
4s
Groups - teams - or committees.


36. How do you find the nth term of a geometric sequence?
T1 * r^(n-1)
(a+b)(a²-ab+b²)
1/3Bh
(n/2) * (t1+tn)


37. x^-a =
b±[vb²-4ac]/2a
N x M
(x+y)(x-y)
1/x^a


38. Rough est. of v2 =
Middle term
A+b
1.4
A²-b²


39. How do you find the sum of an arithmetic sequence?
(n/2) * (t1+tn)
½(base x height) [or (base x height)÷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.
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


40. 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.
y-y1=m(x-x1)
1/2bh
Sum of the lengths of the sides


41. What is the sum of the inside angles of an n-sided polygon?
(n-2)180
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Bh
N x M


42. Circumference Formula
(a+b)²
Sqr( x2 -x1) + (y2- y1)
T1 * r^(n-1)/(r-1)
C =?d


43. What is the prime factorization of 200?
The total # of possible outcomes.
2x2x2x5x5
2(pi)r(r+h)
(y-y1)=m(x-x1)


44. Arc
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.
A+b
2(pi)r(r+h)


45. What is the unfactored version of x²-y² ?
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.
(x+y)(x-y)
Ac+ad+bc+bd
Less


46. What must be true before a quadratic equation can be solved?

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47. Does order matter for a permutation? How about for a combination?
Order does matter for a permutation - but does not matter for a combination.
Pi*r^2
Opens up
The distance across the circle through the center of the circle.The diameter is twice the radius.


48. In a coordinate system - what is the origin?
?r²
(0 -0)
C =?d
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.


49. What is 'absolute value' - and how is it represented?

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50. When you reverse FOIL - the term that needs to add out is the _____
1/2bh
y = k/x
Middle term
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2