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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'S the most important thing to remember about charts you'll see on the GRE?
The distance from one point on the circle to another point on the circle.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Percentage Change = Difference/Original * 100
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. The length of one side of any triangle is ____ than the sum of the other two sides.
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.
Less
2x2x2x5x5
S² - where s = length of a side

3. What is the area of a sector?
?r²
1/2bh
(n degrees/360) * (pi)r^2
y = kx

4. How do you calculate the percentage of change?
Probability A + Probability 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
Percentage Change = Difference/Original * 100
Middle term

5. When you reverse FOIL - the term that needs to add out is the _____
T1 * r^(n-1)/(r-1)
Middle term
x² + 2xy + y²
(n degrees/360) * 2(pi)r

6. To divide powers with the same base...
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
y = k/x
1/2bh
Arrangements - orders - schedules - or lists.

7. Define 'proportionate' values
Probability A * Probability B
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
A²-b²
The set of points which are all the same distance (the radius) from a certain point (the center).

8. Quadratic Formula
2pir^2 + 2pir*h
The distance from one point on the circle to another point on the circle.
x°/360 times (?r²) - where x is the degrees in the angle
b±[vb²-4ac]/2a

9. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
T1 * r^(n-1)
2pi*r
Probability A + Probability B
Less

10. In a parabola - if the first term is negative - the parabola ________.
(n degrees/360) * 2(pi)r
Opens down
(a-b)(a²+ab+b²)
(a+b)²

11. What is the area of a circle?
2 pi r
(a+b)(a²-ab+b²)
(pi)r^2
T1 + (n-1)d

12. Point-Slope form
Lw
(x1+x2)/2 - (y1+y2)/2
y-y1=m(x-x1)
2(lw+wh+lh)

13. In a coordinate system - identify the quadrants and describe their location.
Percentage Change = Difference/Original * 100
2l+2w
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.

14. How do you solve a permutation?
A+b
The ratio of sides is x:x:xv2 - where xv2 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
Sum of terms/number of terms

15. In intersecting lines - opposite angles are _____.
y2-y1/x2-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.
1
Equal

16. How do you find the midpoint?
Pi*r^2
(x1+x2)/2 - (y1+y2)/2
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.
(x-y)²

17. What is the factored version of (x+y)(x-y) ?
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.
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.
A²-b²
x²-y²

18. What is the area of a solid rectangle?
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.
2(pi)r
2(lw+wh+lh)
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.

19. Arc
Total distance/total time
?d OR 2?r
Part of a circle connecting two points on the circle.
(a-b)(a+b)

20. (a+b)(a-b)=
N x M
(pi)r^2(h)
A²-b²
Bh

21. (a+b)(c+d)
Middle term
Ac+ad+bc+bd
(y2-y1)/(x2-x1)
Opens down

22. Area of a trapezoid
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Number of desired outcomes/number of total outcomes
x²-y²
A segment connecting the center of a circle to any point on the circle

23. Define the 'Third side' rule for triangles

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24. Circumference of a circle using radius
2pi*r
(a+b)(a-b)
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.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

25. If something is possible but not certain - what is the numeric range of probability of it happening?
(x-y)²
Between 0 and 1.
2x2x2x5x5
A segment connecting the center of a circle to any point on the circle

26. If something is certain to happen - how is the probability of this event expressed mathematically?
1/1
(x+y)(x-y)
(n degrees/360) * (pi)r^2
The total # of possible outcomes.

27. What is the surface area of a cylinder?
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.
Equal
x²-y²
2(pi)r(r+h)

28. For a bell curve - what three terms might be used to describe the number in the middle?
(pi)r^2
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.
The average - mean - median - or mode.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

29. In a parabola - if the first term is positive - the parabola ________.
(n-2)180
Opens up
?d OR 2?r
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.

30. List two odd behaviors of exponents
Pi*r^2
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 ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
1/x^a

31. How do you calculate the surface area of a rectangular box?
(a+b)(a²-ab+b²)
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.
A²-b²
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

32. a² - b² is equal to
Lwh
1/x^a
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.
(a+b)(a-b)

33. What is the volume of a cylinder?
2x2x2x5x5
(x+y)²
2 pi r
(pi)r^2(h)

34. Area of Trapezoid
T1 * r^(n-1)
?r²
T1 * r^(n-1)/(r-1)
1/2 h (b1 + b2)

35. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
y = kx
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.
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
Opens up

36. a²+2ab+b²
(a+b)²
2(pi)r(r+h)
1. Given event A: A + notA = 1.
2(lw+wh+lh)

37. When a line crosses two parallel lines - ________.
The four big angles are equal and the four small angles are equal
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
An ange whose vertex is the center of the circle

38. What is the 'Third side' rule for triangles?
Percentage Change = Difference/Original * 100
T1 + (n-1)d
4pir^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.

39. Define the mode of a set of numbers.
T1 + (n-1)d
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.
Bh
Arrangements - orders - schedules - or lists.

40. Perimeter of polygon
Probability A + Probability B
Sum of the lengths of the sides
b±[vb²-4ac]/2a
x²-y²

41. When you reverse FOIL - the term that needs to multiply out is the _____
2(lw+wh+lh)
A=bh
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.
Last term

42. Define the range of a set of numbers.
(y2-y1)/(x2-x1)
The four big angles are equal and the four small angles are equal
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.

43. Area of Rectangle
Lw
Order does matter for a permutation - but does not matter for a combination.
S² - where s = length of a side
(y2-y1)/(x2-x1)

44. Perimeter of rectangle
2l+2w
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

45. Circle
The set of points which are all the same distance (the radius) from a certain point (the center).
?r²
2pir^2 + 2pir*h
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.

46. Explain a method for quickly comparing fractions with different denominators - to determine which is larger.

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47. Area of Triangle
Sum of terms/number of terms
1/2bh
?r²
y-y1=m(x-x1)

48. Volume of prism
2(lw+wh+lh)
x°/360 times (?r²) - where x is the degrees in the angle
Groups - teams - or committees.
Bh

49. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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.
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.
1/2bh
The distance from one point on the circle to another point on the circle.

50. How do you multiply powers with the same base?
T1 * r^(n-1)
A=?r2
2(pi)r(r+h)
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7