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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. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
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.
?d OR 2?r
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
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.

2. How do you multiply 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.
(y2-y1)/(x2-x1)
An ange whose vertex is the center of the circle
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

3. What is the circumference of a circle?
The four big angles are equal and the four small angles are equal
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.
(y2-y1)/(x2-x1)

4. Rough est. of v2 =
(x+y)²
Arrangements - orders - schedules - or lists.
(x-y)²
1.4

5. What is directly proportional?
x°/360 times (2 pi r) - where x is the degrees in the angle
1
y = kx
4s

6. Area of a circle
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.
?r²
y-y1=m(x-x1)
(pi)r^2

7. How do you calculate the surface area of a rectangular box?
Lw
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.
x² -2xy + y²
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.

8. What is the area of a sector?
(n degrees/360) * (pi)r^2
2l+2w
Number of desired outcomes/number of total outcomes
Ac+ad+bc+bd

9. Area of Rectangle
Lw
The distance across the circle through the center of the circle.The diameter is twice the radius.
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.
The set of points which are all the same distance (the radius) from a certain point (the center).

10. What is the sum of the inside angles of an n-sided polygon?
?d OR 2?r
(n-2)180
1/x^a
4pir^2

11. Perimeter of polygon
(pi)r^2(h)
Probability A + Probability B
T1 * r^(n-1)/(r-1)
Sum of the lengths of the sides

12. x^-a =
y = k/x
The set of points which are all the same distance (the radius) from a certain point (the center).
1/x^a
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.

13. Point-Slope form
(y2-y1)/(x2-x1)
y-y1=m(x-x1)
Pir^2h
½(base x height) [or (base x height)÷2]

14. What is the factored version of x² -2xy + y² ?
(y-y1)=m(x-x1)
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.
(x-y)²
4s

15. How do you find the nth term of an arithmetic sequence?
1/3Bh
½(b1 +b2) x h [or (b1 +b2) x h÷2]
The average - mean - median - or mode.
T1 + (n-1)d

16. The length of one side of any triangle is ____ than the sum of the other two sides.
Less
2(pi)r(r+h)
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.
N x M

17. What is the factored version of x² + 2xy + y² ?
2pi*r
S*v2
Equal
(x+y)²

18. What is the area of a cylinder?
Lw
The four big angles are equal and the four small angles are equal
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)

19. For a bell curve - what three terms might be used to describe the number in the middle?
The average - mean - median - or mode.
2 pi r
y2-y1/x2-x1
2pi*r

20. How do you calculate a diagonal inside a 3-dimensional rectangular box?
2l+2w
The distance from one point on the circle to another point on the circle.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
(a+b)(a-b)

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

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22. What is the point-slope form?
(x+y)(x-y)
(y-y1)=m(x-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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

23. When a line crosses two parallel lines - ________.
(x+y)²
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
The four big angles are equal and the four small angles are equal
b±[vb²-4ac]/2a

24. How do you solve a permutation?
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
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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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.

25. How do you find the slope?
y2-y1/x2-x1
Total distance/total time
Arrangements - orders - schedules - or lists.
x°/360 times (2 pi r) - where x is the degrees in the angle

26. What is the equation of a line?

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27. Area of Square
S*v2
S^2
y = kx
2(lw+wh+lh)

28. When you reverse FOIL - the term that needs to add out is the _____
Middle term
S^2
Arrangements - orders - schedules - or lists.
A segment connecting the center of a circle to any point on the circle

29. Area of a triangle
2pir^2 + 2pir*h
A²-b²
½(base x height) [or (base x height)÷2]
S² - where s = length of a side

30. What is the prime factorization of 200?
Bh
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Bh
2x2x2x5x5

31. Perimeter (circumference) of a circle
2 pi r
(n/2) * (t1+tn)
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.
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.

32. Rough est. of v1 =
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 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.
1
(a+b)(a-b)

33. 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.
Total distance/total time
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.
(n/2) * (t1+tn)

34. What is the surface area of a cylinder?
b±[vb²-4ac]/2a
2(pi)r(r+h)
Probability A + Probability B
(n degrees/360) * 2(pi)r

35. What is inversely proportional?
T1 * r^(n-1)
A=bh
y = k/x
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

36. Explain the difference between a digit and a number.

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37. Circle
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.
(y2-y1)/(x2-x1)
(n/2) * (t1+tn)
The set of points which are all the same distance (the radius) from a certain point (the center).

38. Volume of Cone
2(pi)r(r+h)
Total distance/total time
Pi*r^2
1/3pir^2*h

39. What do permutation problems often ask for?
Arrangements - orders - schedules - or lists.
(n degrees/360) * 2(pi)r
Probability A + Probability B
2l+2w

40. What is the distance formula?
(y-y1)=m(x-x1)
Sqr( x2 -x1) + (y2- y1)
Groups - teams - or committees.
1/2bh

41. To divide powers with the same base...
(a-b)(a+b)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
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.
Pi*r^2

42. What is the 'Third side' rule for triangles?
Not necessarily. This is a trick question - because x could be either positive or negative.
(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.
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.

43. Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
1/1
2 pi r
Between 0 and 1.

44. What is the volume of a solid rectangle?
1/x^a
Opens down
2(lw+wh+lh)
Lwh

45. What is the side ratio for a 30:60:90 triangle?
T1 + (n-1)d
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Lwh
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

46. Central Angle
½(base x height) [or (base x height)÷2]
An ange whose vertex is the center of the circle
2(lw+wh+lh)
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.

47. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
1.4
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.
Middle term
(pi)r^2

48. In intersecting lines - opposite angles are _____.
Equal
The distance from one point on the circle to another point on the circle.
The average - mean - median - or mode.
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.

49. What is the area of a solid rectangle?
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
S*v2
Lwh
2(lw+wh+lh)

50. 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.
2(pi)r(r+h)
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2lw+2lh+2wh