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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. Arc
An ange whose vertex is the center of the circle
The four big angles are equal and the four small angles are equal
(a+b)(a²-ab+b²)
Part of a circle connecting two points on the circle.

2. If something is certain to happen - how is the probability of this event expressed mathematically?
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
(x-y)²
1/1
?r²

3. What is the formula for the diagonal of any square?
b±[vb²-4ac]/2a
(a+b)²
x°/360 times (?r²) - where x is the degrees in the angle
S*v2

4. What is the area of a sector?
(y2-y1)/(x2-x1)
(n degrees/360) * (pi)r^2
Pir^2h
Probability A * Probability B

5. Central Angle
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
An ange whose vertex is the center of the circle
Part of a circle connecting two points on the circle.
(x-y)²

6. x^-a =
The distance across the circle through the center of the circle.The diameter is twice the radius.
1/x^a
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

7. Does order matter for a permutation? How about for a combination?
Order does matter for a permutation - but does not matter for a combination.
1.7
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.
T1 * r^(n-1)/(r-1)

8. Diameter
1. Given event A: A + notA = 1.
The distance across the circle through the center of the circle.The diameter is twice the radius.
2l+2w
(x1+x2)/2 - (y1+y2)/2

9. What is the area of a cylinder?
1.4
2(pi)r(r+h)
1/2 h (b1 + b2)
(n/2) * (t1+tn)

10. Area of Circles
2lw+2lh+2wh
x² -2xy + y²
1/3Bh
A=?r2

11. To divide powers with the same base...
The distance from one point on the circle to another point on the circle.
x°/360 times (2 pi r) - where x is the degrees in the angle
2(pi)r(r+h)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

12. What is a '30:60:90' triangle?
The set of points which are all the same distance (the radius) from a certain point (the center).
1.4
(a+b)(a-b)
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

13. What is the average?
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
Sum of terms/number of terms
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.
y = kx

14. What is the unfactored version of (x+y)² ?
S^2
x² + 2xy + y²
The total # of possible outcomes.
(a-b)(a+b)

15. Area of a trapezoid
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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
A+b
½(b1 +b2) x h [or (b1 +b2) x h÷2]

16. Area of Parallelogram
Bh
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
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.

17. Volume of prism
Percentage Change = Difference/Original * 100
S^2
2pir^2 + 2pir*h
Bh

18. What is the side ratio for a Right Isosceles triangle?
2(lw+wh+lh)
The four big angles are equal and the four small angles are equal
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

19. Volume of sphere
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.
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.
4/3pir^3
2(pi)r

20. Perimeter of polygon
4s
Sum of the lengths of the sides
Negative
(n/2) * (t1+tn)

21. What is the side ratio for a 30:60:90 triangle?
Not necessarily. This is a trick question - because x could be either positive or negative.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(n/2) * (t1+tn)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

22. For a bell curve - what three terms might be used to describe the number in the middle?
Number of desired outcomes/number of total outcomes
The average - mean - median - or mode.
Lw
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

23. How do you calculate the percentage of change?
C =?d
Probability A * Probability B
Percentage Change = Difference/Original * 100
1/x^a

24. When a line crosses two parallel lines - ________.
2(pi)r(r+h)
The four big angles are equal and the four small angles are equal
Groups - teams - or committees.
Arrangements - orders - schedules - or lists.

25. Lines reflected over the x or y axis have ____ slopes.
Order does matter for a permutation - but does not matter for a combination.
2(pi)r(r+h)
The distance from one point on the circle to another point on the circle.
Negative

26. a² - b² is equal to
y-y1=m(x-x1)
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
(a+b)(a-b)
(a-b)(a+b)

27. Circle
The set of points which are all the same distance (the radius) from a certain point (the center).
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
1/2bh
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

28. What is the 'Third side' rule for triangles?
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.
x°/360 times (?r²) - where x is the degrees in the angle
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.
Between 0 and 1.

29. Surface Area of Cylinder
1/x^a
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
2pir^2 + 2pir*h
Equal

30. What is the unfactored version of x²-y² ?
(n degrees/360) * (pi)r^2
2 pi r
Total distance/total time
(x+y)(x-y)

31. Quadratic Formula
Less
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
(x1+x2)/2 - (y1+y2)/2
b±[vb²-4ac]/2a

32. Perimeter (circumference) of a circle
(x1+x2)/2 - (y1+y2)/2
b±[vb²-4ac]/2a
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
2 pi r

33. Perimeter of a rectangle
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.
2Length + 2width [or (length + width) x 2]
A=bh
2pir^2 + 2pir*h

34. Area of a sector
x°/360 times (?r²) - where x is the degrees in the angle
(a-b)(a²+ab+b²)
2x2x2x5x5
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.

35. What do permutation problems often ask for?
The distance across the circle through the center of the circle.The diameter is twice the radius.
Arrangements - orders - schedules - or lists.
x°/360 times (2 pi r) - where x is the degrees in the angle
2pir^2 + 2pir*h

36. Define the range of a set of numbers.
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.
1. Given event A: A + notA = 1.
(n degrees/360) * (pi)r^2
Middle term

37. The length of one side of any triangle is ____ than the sum of the other two sides.
S^2
4pir^2
Less
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.

38. Area of Circle
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.
Pi*r^2
(x+y)²

39. What is inversely proportional?
1.4
y = k/x
Pi*r^2
x°/360 times (2 pi r) - where x is the degrees in the angle

40. x^a * x^b = x^__
The distance from one point on the circle to another point on the circle.
1/1
1/3Bh
A+b

41. What is the area of a circle?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
2lw+2lh+2wh
(pi)r^2
An ange whose vertex is the center of the circle

42. Sector
Negative
1.4
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.
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.

43. Rough est. of v2 =
Groups - teams - or committees.
1.4
½(base x height) [or (base x height)÷2]
Opens up

44. The probability of an event happening and the probability of an event NOT happening must add up to what number?
1. Given event A: A + notA = 1.
(a+b)(a-b)
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.
(n/2) * (t1+tn)

45. Surface Area of Sphere
Opens up
4pir^2
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.
y = kx

46. Rough est. of v3 =
2l+2w
1.7
Pi*d
Number of desired outcomes/number of total outcomes

47. How do you calculate the surface area of a rectangular box?
Bh
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.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.

48. Radius (Radii)
Pi*r^2
?d OR 2?r
A segment connecting the center of a circle to any point on the circle
Pir^2h

49. 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.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Bh
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. a²-b²
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Less
(a-b)(a+b)
4s