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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. Circumference Formula
?r²
Percentage Change = Difference/Original * 100
C =?d
(pi)r^2

2. Surface Area of rectangular prism
2lw+2lh+2wh
Part of a circle connecting two points on the circle.
4s (where s = length of a side)
Middle term

3. How do you multiply and divide square roots?
2pi*r
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Lwh
Probability A + Probability B

4. Radius (Radii)
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.
Lw
Lwh
A segment connecting the center of a circle to any point on the circle

5. Rough est. of v2 =
1.4
A=?r2
4s (where s = length of a side)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

6. Volume of pyramid
4pir^2
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.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
1/3Bh

7. How do you multiply powers with the same base?
Equal
Part of a circle connecting two points on the circle.
y = k/x
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

8. Define the median of a set of numbers - and how to find it for an odd and even number of values in a set.

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9. Point-Slope form
2(lw+wh+lh)
y-y1=m(x-x1)
1. Given event A: A + notA = 1.
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

10. What is the sum of the inside angles of an n-sided polygon?
The set of points which are all the same distance (the radius) from a certain point (the center).
(n-2)180
The distance from one point on the circle to another point on the circle.
2(pi)r(r+h)

11. How do you calculate the percentage of change?
Percentage Change = Difference/Original * 100
(pi)r^2(h)
(n/2) * (t1+tn)
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

12. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
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.
(x1+x2)/2 - (y1+y2)/2
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
2(pi)r(r+h)

13. Surface Area of Sphere
4pir^2
1/2 h (b1 + b2)
(x+y)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.

14. Lines reflected over the x or y axis have ____ slopes.
2(pi)r(r+h)
Negative
The distance across the circle through the center of the circle.The diameter is twice the radius.
4pir^2

15. perimeter of square
Less
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
4s
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.

16. What is the prime factorization of 200?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
4/3pir^3
(pi)r^2(h)
2x2x2x5x5

17. What is the factored version of x² + 2xy + y² ?
(x+y)²
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 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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

18. x^a * x^b = x^__
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
A+b
(pi)r^2
(a+b)(a-b)

19. Perimeter (circumference) of a circle
2(pi)r(r+h)
2 pi r
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.
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. What is a 'Right isosceles' triangle?
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.
(pi)r^2(h)
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.
The distance across the circle through the center of the circle.The diameter is twice the radius.

21. Perimeter of a square
4s (where s = length of a side)
(x-y)²
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.
Lwh

22. In a parabola - if the first term is negative - the parabola ________.
Opens down
(x-y)²
(n degrees/360) * (pi)r^2
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

23. Sector
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.
x°/360 times (2 pi r) - where x is the degrees in the angle
2pir^2 + 2pir*h
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

24. a³+b³
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.
Total distance/total time
(a+b)(a²-ab+b²)
T1 * r^(n-1)/(r-1)

25. Volume of Cylinder
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.
y = kx
Pir^2h
Opens down

26. When you reverse FOIL - the term that needs to multiply out is the _____
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
4s
N x M
Last term

27. a²-b²
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.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(a-b)(a+b)
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.

28. To divide powers with the same base...
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
(n-2)180
2(lw+wh+lh)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

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

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30. What is the factored version of (x+y)(x-y) ?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
A+b
Pir^2h
x²-y²

31. a³-b³
(a-b)(a²+ab+b²)
Middle term
4s (where s = length of a side)
Probability A * Probability B

32. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Groups - teams - or committees.
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)

33. x^-a =
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
1/x^a
4s (where s = length of a side)
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

34. Circle
Opens up
The set of points which are all the same distance (the radius) from a certain point (the center).
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)²

35. What is the 'Third side' rule for triangles?
(x+y)²
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.
Percentage Change = Difference/Original * 100
1. Given event A: A + notA = 1.

36. What do permutation problems often ask for?
Negative
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.
Sum of terms/number of terms
Arrangements - orders - schedules - or lists.

37. Area of rectangle - square - parallelogram
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.
S² - where s = length of a side
A=bh
2(pi)r(r+h)

38. Arc
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.
Part of a circle connecting two points on the circle.
(x-y)²
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

39. What is the surface area of a cylinder?
2(pi)r(r+h)
(a+b)²
Between 0 and 1.
x°/360 times (2 pi r) - where x is the degrees in the angle

40. How do you find the sum of a geometric sequence?
S*v2
T1 * r^(n-1)/(r-1)
(x-y)²
Opens up

41. What is the formula for the diagonal of any square?
Pi*r^2
1/2bh
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.
S*v2

42. Define 'proportionate' values
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.
2(pi)r
The distance across the circle through the center of the circle.The diameter is twice the radius.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

43. What is the length of an arc?
Last term
2lw+2lh+2wh
x°/360 times (?r²) - where x is the degrees in the angle
(n degrees/360) * 2(pi)r

44. For a bell curve - what three terms might be used to describe the number in the middle?
C =?d
4s
S² - where s = length of a side
The average - mean - median - or mode.

45. a² - b² is equal to
T1 * r^(n-1)/(r-1)
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.
(a+b)(a-b)
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.

46. What is the volume of a cylinder?
(pi)r^2(h)
x² -2xy + y²
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.
½(base x height) [or (base x height)÷2]

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

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48. What is the unfactored version of (x-y)² ?
x² -2xy + y²
A+b
A=bh
Opens down

49. What is the unfactored version of x²-y² ?
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.
(a+b)(a²-ab+b²)
(x+y)(x-y)
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.

50. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
Arrangements - orders - schedules - or lists.
x°/360 times (2 pi r) - where x is the degrees in the angle
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.
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.