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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. If something is possible but not certain - what is the numeric range of probability of it happening?
Between 0 and 1.
A=?r2
Probability A + Probability B
(n degrees/360) * (pi)r^2

2. What do permutation problems often ask for?
y = kx
The distance across the circle through the center of the circle.The diameter is twice the radius.
Arrangements - orders - schedules - or lists.
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.

3. What is the point-slope form?
Less
The distance across the circle through the center of the circle.The diameter is twice the radius.
Number of desired outcomes/number of total outcomes
(y-y1)=m(x-x1)

4. What is the factored version of x² -2xy + y² ?
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.
(pi)r^2
(a+b)(a-b)
(x-y)²

5. What is the area of a triangle?
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.
1/2bh
(x1+x2)/2 - (y1+y2)/2
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.

6. In a parabola - if the first term is negative - the parabola ________.
Lw
(x+y)(x-y)
Opens down
4/3pir^3

7. Volume of Cone
1. Given event A: A + notA = 1.
Groups - teams - or committees.
2 pi r
1/3pir^2*h

8. Quadratic Formula
(a-b)(a²+ab+b²)
1/2bh
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.
b±[vb²-4ac]/2a

9. What is the factored version of (x+y)(x-y) ?
x²-y²
A+b
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]

10. In intersecting lines - opposite angles are _____.
Equal
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.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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.

11. What is a 'Right isosceles' triangle?
A(b+c) = ab + ac a(b-c) = ab - ac For example - 12(66) + 12(24) is the same as 12(66+24) - or 12(90) = 1 -080.
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.
1/3Bh
Pi*r^2

12. What is the average?
Sum of terms/number of terms
Part of a circle connecting two points on the circle.
Probability A * Probability B
2lw+2lh+2wh

13. What is directly proportional?
(y-y1)=m(x-x1)
1.7
y = kx
The set of points which are all the same distance (the radius) from a certain point (the center).

14. What is the surface area of a cylinder?
Opens up
2(pi)r(r+h)
(x1+x2)/2 - (y1+y2)/2
(a+b)(a-b)

15. Volume of sphere
Probability A * Probability B
A=bh
4/3pir^3
Between 0 and 1.

16. What is the side ratio for a 30:60:90 triangle?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
The four big angles are equal and the four small angles are equal
Total distance/total time
Pi*d

17. What is a '30:60:90' triangle?
A(b+c) = ab + ac a(b-c) = ab - ac For example - 12(66) + 12(24) is the same as 12(66+24) - or 12(90) = 1 -080.
1/x^a
½(base x height) [or (base x height)÷2]
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

18. What is the length of an arc?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(n degrees/360) * 2(pi)r
The total # of possible outcomes.
1. Given event A: A + notA = 1.

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

20. What is the average speed?
Sum of the lengths of the sides
The distance across the circle through the center of the circle.The diameter is twice the radius.
Less
Total distance/total time

21. Circumference of cirlce using diameter
The distance from one point on the circle to another point on the circle.
(y2-y1)/(x2-x1)
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.
Pi*d

22. What is the distance formula?
Sqr( x2 -x1) + (y2- y1)
Between 0 and 1.
Groups - teams - or committees.
(x+y)(x-y)

23. x^-a =
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.
(x-y)²
Pi*r^2
1/x^a

24. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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.
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)²
2lw+2lh+2wh

25. How do you find the sum of a geometric sequence?
y2-y1/x2-x1
T1 * r^(n-1)/(r-1)
1/x^a
Groups - teams - or committees.

26. Define the 'Third side' rule for triangles

27. Slope
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 distance from one point on the circle to another point on the circle.
Pi*d
(y2-y1)/(x2-x1)

28. Volume of prism
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
(pi)r^2
1.4
Bh

29. How do you solve a permutation?
2x2x2x5x5
4s (where s = length of a side)
2l+2w
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

30. What is the volume of a solid rectangle?
(x-y)²
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
4s
Lwh

31. Chord
y = kx
The distance from one point on the circle to another point on the circle.
(a+b)(a-b)
Groups - teams - or committees.

32. Rough est. of v1 =
1
1. Given event A: A + notA = 1.
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.
1/2bh

33. What is the area of a solid rectangle?
2(lw+wh+lh)
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
Equal

34. Area of Circles
y2-y1/x2-x1
A=bh
S² - where s = length of a side
A=?r2

35. Area of a trapezoid
½(b1 +b2) x h [or (b1 +b2) x h÷2]
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.
Opens up

36. What is the factored version of x² + 2xy + y² ?
(x+y)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.
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

37. a²-2ab+b²
y2-y1/x2-x1
(a-b)²
C =?d
1/x^a

38. Diameter
(n/2) * (t1+tn)
The distance across the circle through the center of the circle.The diameter is twice the radius.
(x-y)²
A+b

39. Circumference of a circle
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 total # of possible outcomes.
?d OR 2?r
(a+b)²

40. When a line crosses two parallel lines - ________.
Sum of terms/number of terms
(n degrees/360) * (pi)r^2
The four big angles are equal and the four small angles are equal
(a-b)²

41. Rough est. of v2 =
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.
?d OR 2?r
1/3Bh
1.4

42. Area of a circle
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 formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
?r²
The distance from one point on the circle to another point on the circle.

43. Sector
b±[vb²-4ac]/2a
An ange whose vertex is the center of the circle
Equal
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.

44. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
4s
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.
½(base x height) [or (base x height)÷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.

45. What are the side ratios for a 30:60:90 triangle?
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.
1/1
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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

46. How do you find the sum of an arithmetic sequence?
(n/2) * (t1+tn)
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.
Bh

47. Perimeter of rectangle
(n/2) * (t1+tn)
N x M
2l+2w
(a+b)(a-b)

48. When you reverse FOIL - the term that needs to add out is the _____
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.
Middle term
y-y1=m(x-x1)
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.

49. How do you find the slope?
A segment connecting the center of a circle to any point on the circle
y2-y1/x2-x1
S² - where s = length of a side
2(pi)r(r+h)

50. Area of Circle
(0 -0)
T1 * r^(n-1)/(r-1)
Pi*r^2
x°/360 times (2 pi r) - where x is the degrees in the angle