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GRE Math 2

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. Define the mode of a set of numbers.
2pi*r
Ac+ad+bc+bd
?d OR 2?r
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. What is an 'equilateral' triangle?
(a+b)(a-b)
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'.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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.

3. Circumference of cirlce using diameter
A segment connecting the center of a circle to any point on the circle
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Pi*d
2(pi)r(r+h)

4. What is the prime factorization of 200?
x² -2xy + y²
1/3Bh
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
2x2x2x5x5

5. Volume of Cylinder
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
Middle term
Bh
Pir^2h

6. Area of Circles
A=?r2
(x+y)²
1/2bh
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.

7. Area of a circle
?r²
Groups - teams - or committees.
(n degrees/360) * 2(pi)r
S*v2

8. Radius (Radii)
?d OR 2?r
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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
A segment connecting the center of a circle to any point on the circle

9. What is the factored version of x² + 2xy + y² ?
(x+y)²
Ac+ad+bc+bd
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.
A=bh

10. What is the average speed?
Probability A + Probability B
Total distance/total time
1/2 h (b1 + b2)
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.

11. Slope
(y2-y1)/(x2-x1)
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 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.

12. Rough est. of v3 =
1.7
2pir^2 + 2pir*h
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.
Percentage Change = Difference/Original * 100

13. Surface Area of Cylinder
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
2pir^2 + 2pir*h
(x+y)²
(n/2) * (t1+tn)

14. What is the 'Third side' rule for triangles?
½(base x height) [or (base x height)÷2]
An ange whose vertex is the center of the circle
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.
4/3pir^3

15. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
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.
(n degrees/360) * (pi)r^2
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'.
(a-b)²

16. In a coordinate system - identify the quadrants and describe their location.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1.7
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
(a+b)(a²-ab+b²)

17. What is the area of a solid rectangle?
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
The average - mean - median - or mode.
Middle term
2(lw+wh+lh)

18. Explain the special properties of zero.
The distance from one point on the circle to another point on the 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.
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.
y = kx

19. Define the range of a set of numbers.
Sqr( x2 -x1) + (y2- y1)
(a-b)(a²+ab+b²)
Opens down
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.

20. Volume of pyramid
2pi*r
Pir^2h
1/3Bh
Percentage Change = Difference/Original * 100

21. Perimeter (circumference) of a circle
2 pi r
Pir^2h
(n degrees/360) * (pi)r^2
A=bh

22. How do you multiply and divide square roots?
Opens up
1/3Bh
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
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

23. Area of Triangle
4s (where s = length of a side)
(a+b)(a-b)
1/2bh
Negative

24. Perimeter of a rectangle
T1 + (n-1)d
1/x^a
2Length + 2width [or (length + width) x 2]
(a+b)(a-b)

25. What is the volume of a cylinder?
Equal
(pi)r^2(h)
(a+b)(a²-ab+b²)
(y-y1)=m(x-x1)

26. Define the formula for calculating slope.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(a-b)(a+b)
(0 -0)
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

27. Surface Area of rectangular prism
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
2lw+2lh+2wh
(a+b)(a²-ab+b²)
2pi*r

28. Define a factorial of a number - and how it is written.
Middle term
y = kx
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.
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.

29. perimeter of square
2(pi)r(r+h)
4s
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.
y2-y1/x2-x1

30. How do you calculate the probability of two events in a row? (Probability of A and B)
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Sum of terms/number of terms
Probability A * Probability B
Equal

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

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32. a²+2ab+b²
(a+b)²
x°/360 times (?r²) - where x is the degrees in the angle
x² -2xy + y²
1/3Bh

33. What do combination problems usually ask for?
1/1
1/2 h (b1 + b2)
Negative
Groups - teams - or committees.

34. Perimeter of polygon
(x+y)²
Sum of the lengths of the sides
C =?d
Probability A + Probability B

35. How do you calculate a diagonal inside a 3-dimensional rectangular box?
Sum of terms/number of terms
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
x²-y²
A segment connecting the center of a circle to any point on the circle

36. x^a * x^b = x^__
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.
4/3pir^3
A+b

37. 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.
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.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Groups - teams - or committees.

38. What is the average?
Sum of terms/number of terms
2lw+2lh+2wh
The four big angles are equal and the four small angles are equal
C =?d

39. How do you calculate the percentage of change?
(x1+x2)/2 - (y1+y2)/2
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
Last term
Percentage Change = Difference/Original * 100

40. What is the probability?
Equal
?d OR 2?r
2(pi)r
Number of desired outcomes/number of total outcomes

41. How do you find the nth term of a geometric sequence?
1
T1 * r^(n-1)
The total # of possible outcomes.
Middle term

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

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43. What is the circumference of a circle?
C =?d
2(pi)r
Pi*r^2
N x M

44. 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.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.
x°/360 times (?r²) - where x is the degrees in the angle

45. Area of Parallelogram
A²-b²
Bh
(pi)r^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.

46. When you reverse FOIL - the term that needs to multiply out is the _____
Pi*r^2
(n/2) * (t1+tn)
T1 * r^(n-1)
Last term

47. How do you find the sum of an arithmetic sequence?
A²-b²
(n/2) * (t1+tn)
Total distance/total time
(a-b)(a²+ab+b²)

48. Central Angle
Opens down
1
An ange whose vertex is the center of the circle
y2-y1/x2-x1

49. Does order matter for a permutation? How about for a combination?
(n degrees/360) * 2(pi)r
Groups - teams - or committees.
Order does matter for a permutation - but does not matter for a combination.
Bh

50. Perimeter of a square
The distance across the circle through the center of the circle.The diameter is twice the radius.
S² - where s = length of a side
4s (where s = length of a side)
(a-b)(a+b)