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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 is the factored version of x² -2xy + y² ?
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
(x-y)²
y2-y1/x2-x1
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

2. What is the area of a cylinder?
y2-y1/x2-x1
Sum of terms/number of terms
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
2(pi)r(r+h)

3. x^a * x^b = x^__
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
A+b
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
4/3pir^3

4. Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
S² - where s = length of a side
Arrangements - orders - schedules - or lists.
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.

5. Area of rectangle - square - parallelogram
Opens down
A=bh
Middle term
1/3Bh

6. Surface Area of rectangular prism
A+b
(n degrees/360) * 2(pi)r
1/2bh
2lw+2lh+2wh

7. Circle
The set of points which are all the same distance (the radius) from a certain point (the center).
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
2Length + 2width [or (length + width) x 2]
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.

8. Define the range of a set of numbers.
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 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.
Probability A + Probability B
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

9. What is the equation of a line?

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10. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
(x+y)(x-y)
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.
1/2bh
Probability A + Probability B

11. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
Order does matter for a permutation - but does not matter for a combination.
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'.
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.
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.

12. What is inversely proportional?
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
y = k/x
Sqr( x2 -x1) + (y2- y1)
2Length + 2width [or (length + width) x 2]

13. If something is certain to happen - how is the probability of this event expressed mathematically?
Less
Sqr( x2 -x1) + (y2- y1)
x² -2xy + y²
1/1

14. When a line crosses two parallel lines - ________.
T1 * r^(n-1)/(r-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.
The four big angles are equal and the four small angles are equal
C =?d

15. What is the probability?
Number of desired outcomes/number of total outcomes
Lwh
A segment connecting the center of a circle to any point on the circle
(a-b)(a²+ab+b²)

16. How do you calculate the percentage of change?
Percentage Change = Difference/Original * 100
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.
(y2-y1)/(x2-x1)
x°/360 times (?r²) - where x is the degrees in the angle

17. Does order matter for a permutation? How about for a combination?
Order does matter for a permutation - but does not matter for a combination.
The distance from one point on the circle to another point on the circle.
y = k/x
y-y1=m(x-x1)

18. a²-2ab+b²
(a-b)²
1/2bh
Pir^2h
A segment connecting the center of a circle to any point on the circle

19. Surface Area of Cylinder
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
2pir^2 + 2pir*h
A segment connecting the center of a circle to any point on the circle
2pi*r

20. Rough est. of v1 =
1/3Bh
2pi*r
1
Lw

21. Radius (Radii)
Probability A * Probability B
A segment connecting the center of a circle to any point on the circle
b±[vb²-4ac]/2a
½(b1 +b2) x h [or (b1 +b2) x h÷2]

22. Perimeter of rectangle
(x1+x2)/2 - (y1+y2)/2
x² + 2xy + y²
Not necessarily. This is a trick question - because x could be either positive or negative.
2l+2w

23. How do you find the sum of an arithmetic sequence?
b±[vb²-4ac]/2a
(n/2) * (t1+tn)
Lwh
(a+b)(a-b)

24. Lines reflected over the x or y axis have ____ slopes.
2lw+2lh+2wh
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Negative
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.

25. In a parabola - if the first term is positive - the parabola ________.
An ange whose vertex is the center of the circle
Opens up
x°/360 times (2 pi r) - where x is the degrees in the angle
½(b1 +b2) x h [or (b1 +b2) x h÷2]

26. What is the average?
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)
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.

27. What is the point-slope form?
?r²
(n/2) * (t1+tn)
Pi*r^2
(y-y1)=m(x-x1)

28. How do you multiply and divide square roots?
x² -2xy + y²
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
2lw+2lh+2wh
½(b1 +b2) x h [or (b1 +b2) x h÷2]

29. What is the volume of a cylinder?
(a+b)²
(pi)r^2(h)
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.
(0 -0)

30. What is the circumference of a circle?
2(pi)r
Lwh
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
Sqr( x2 -x1) + (y2- y1)

31. Volume of Cone
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
1/3pir^2*h
1
(pi)r^2(h)

32. perimeter of square
Probability A + Probability B
The distance across the circle through the center of the circle.The diameter is twice the radius.
C =?d
4s

33. How do you calculate a diagonal inside a 3-dimensional rectangular box?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.
Middle term
Probability A + Probability B

34. Define a factorial of a number - and how it is written.
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.
1/2bh
Lw
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.

35. Area of a square
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.
S² - where s = length of a side
4s (where s = length of a side)
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.

36. If something is possible but not certain - what is the numeric range of probability of it happening?
A segment connecting the center of a circle to any point on the circle
Between 0 and 1.
Order does matter for a permutation - but does not matter for a combination.
(y-y1)=m(x-x1)

37. Circumference Formula
4s
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
Pi*r^2

38. Define the 'Third side' rule for triangles

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39. What'S the most important thing to remember about charts you'll see on the GRE?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(y2-y1)/(x2-x1)
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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.

40. How do you multiply powers with the same base?
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
2lw+2lh+2wh
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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.

41. a³-b³
(a+b)(a-b)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
(a-b)(a²+ab+b²)
Sum of the lengths of the sides

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

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43. Rough est. of v3 =
Equal
Pi*r^2
1.7
(y2-y1)/(x2-x1)

44. Area of a sector
Pi*d
y-y1=m(x-x1)
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.
x°/360 times (?r²) - where x is the degrees in the angle

45. For a bell curve - what three terms might be used to describe the number in the middle?
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.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
The average - mean - median - or mode.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

46. In intersecting lines - opposite angles are _____.
A²-b²
Equal
4pir^2
(y-y1)=m(x-x1)

47. Volume of sphere
An ange whose vertex is the center of the circle
4/3pir^3
(n/2) * (t1+tn)
4s (where s = length of a side)

48. What is the formula for the diagonal of any square?
S*v2
1/2bh
(a-b)²
An ange whose vertex is the center of the circle

49. What is the area of a sector?
Lwh
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.
A+b
(n degrees/360) * (pi)r^2

50. What is the area of a solid rectangle?
Pir^2h
S*v2
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.
2(lw+wh+lh)