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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. 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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
2pir^2 + 2pir*h
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

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

3. Perimeter of a square
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
4s (where s = length of a side)
Sqr( x2 -x1) + (y2- y1)
Middle term

4. In a parabola - if the first term is negative - the parabola ________.
The set of points which are all the same distance (the radius) from a certain point (the center).
Opens down
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
(a+b)²

5. Volume of Cylinder
(n degrees/360) * (pi)r^2
Pir^2h
Sqr( x2 -x1) + (y2- y1)
Between 0 and 1.

6. a²-2ab+b²
(x1+x2)/2 - (y1+y2)/2
(a+b)(a-b)
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
(a-b)²

7. Area of rectangle - square - parallelogram
A=bh
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
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
1

8. Circumference of cirlce using diameter
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Part of a circle connecting two points on the circle.
C =?d
Pi*d

9. Area of Rectangle
Groups - teams - or committees.
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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Lw

10. a³-b³
Probability A + Probability B
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
(a-b)(a²+ab+b²)
Sum of terms/number of terms

11. When you reverse FOIL - the term that needs to add out is the _____
2pir^2 + 2pir*h
Groups - teams - or committees.
Number of desired outcomes/number of total outcomes
Middle term

12. Perimeter of 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
Less
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
2l+2w

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

14. What is the average speed?
Total distance/total time
?r²
(y-y1)=m(x-x1)
b±[vb²-4ac]/2a

15. How do you multiply powers with the same base?
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
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(n degrees/360) * 2(pi)r
Part of a circle connecting two points on the circle.

16. How do you find the sum of an arithmetic sequence?
(n/2) * (t1+tn)
Sum of terms/number of terms
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.
The distance from one point on the circle to another point on the circle.

17. Radius (Radii)
A segment connecting the center of a circle to any point on the circle
(n-2)180
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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'.

18. Area of Circle
(n degrees/360) * (pi)r^2
Pi*r^2
4/3pir^3
Total distance/total time

19. Define the 'Third side' rule for triangles

20. Area of Trapezoid
Number of desired outcomes/number of total outcomes
1/2 h (b1 + b2)
x²-y²
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

21. What is the factored version of x² -2xy + y² ?
(x-y)²
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2lw+2lh+2wh
(x+y)(x-y)

22. Arc
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 distance across the circle through the center of the circle.The diameter is twice the radius.
N x M
Part of a circle connecting two points on the circle.

23. What is the area of a sector?
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
Ac+ad+bc+bd
Opens up
(n degrees/360) * (pi)r^2

24. Chord
b±[vb²-4ac]/2a
1/2 h (b1 + b2)
The distance from one point on the circle to another point on the circle.
Probability A + Probability B

25. Define the range of a set of numbers.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Sum of the lengths of the sides
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.
x² -2xy + y²

26. (a+b)(c+d)
Between 0 and 1.
y2-y1/x2-x1
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.
Ac+ad+bc+bd

27. What is the side ratio for a 30:60:90 triangle?
1/1
The average - mean - median - or mode.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(x+y)²

28. Volume of pyramid
2 pi r
The total # of possible outcomes.
Equal
1/3Bh

29. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
Sqr( x2 -x1) + (y2- y1)
(n degrees/360) * 2(pi)r
2Length + 2width [or (length + width) x 2]
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.

30. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
2 pi r
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.
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
1/2bh

31. Area of a square
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.
S² - where s = length of a side
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.
Sqr( x2 -x1) + (y2- y1)

32. What is the average?
4s (where s = length of a side)
Total distance/total time
Sum of terms/number of terms
1.7

33. a²-b²
(a-b)(a+b)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
1
Probability A * Probability B

34. What is the point-slope form?
Number of desired outcomes/number of total outcomes
Probability A * Probability B
(y-y1)=m(x-x1)
Bh

35. How do you multiply and divide square roots?
1/2bh
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
The set of points which are all the same distance (the radius) from a certain point (the center).
?r²

36. How do you calculate a diagonal inside a 3-dimensional rectangular box?
y2-y1/x2-x1
4/3pir^3
(x+y)²
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

37. What is the probability?
Number of desired outcomes/number of total outcomes
An ange whose vertex is the center of the circle
(a+b)(a²-ab+b²)
½(b1 +b2) x h [or (b1 +b2) x h÷2]

38. Define the mode of a set of numbers.
1/2bh
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.
x² + 2xy + y²
Total distance/total time

39. List two odd behaviors of exponents
S^2
(n degrees/360) * 2(pi)r
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.
1/3Bh

40. How do you find the nth term of a geometric sequence?
T1 * r^(n-1)
Total distance/total time
2pir^2 + 2pir*h
N x M

41. What is the unfactored version of (x-y)² ?
The four big angles are equal and the four small angles are equal
4/3pir^3
Not necessarily. This is a trick question - because x could be either positive or negative.
x² -2xy + y²

42. How do you solve a permutation?
x°/360 times (2 pi r) - where x is the degrees in the angle
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.
1/3Bh
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

43. In intersecting lines - opposite angles are _____.
Equal
2(pi)r(r+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.
2(lw+wh+lh)

44. Volume of sphere
4/3pir^3
1/1
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.
Probability A * Probability B

45. What number goes on the bottom of a probability fraction?
(a+b)(a²-ab+b²)
The total # of possible outcomes.
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.
x²-y²

46. If something is possible but not certain - what is the numeric range of probability of it happening?
1. Given event A: A + notA = 1.
T1 * r^(n-1)/(r-1)
Between 0 and 1.
(n/2) * (t1+tn)

47. Volume of prism
Bh
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.
N x M
y-y1=m(x-x1)

48. In a coordinate system - identify the quadrants and describe their location.
Arrangements - orders - schedules - or lists.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

49. To divide powers with the same base...
Equal
?d OR 2?r
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.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

50. Area of Square
S^2
(x+y)²
2pi*r
(x1+x2)/2 - (y1+y2)/2