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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. Sector
The distance from one point on the circle to another point on the circle.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Not necessarily. This is a trick question - because x could be either positive or negative.
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.

2. What is the circumference of a circle?
2(pi)r
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1
(a+b)(a²-ab+b²)

3. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
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)²
x² + 2xy + y²
(n-2)180

4. In a parabola - if the first term is negative - the parabola ________.
Total distance/total time
Opens down
2lw+2lh+2wh
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

5. What is the unfactored version of (x-y)² ?
Total distance/total time
2(pi)r
1/1
x² -2xy + y²

6. If something is certain to happen - how is the probability of this event expressed mathematically?
A=?r2
4s (where s = length of a side)
y2-y1/x2-x1
1/1

7. Define the 'Third side' rule for triangles

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8. Circumference of a circle
A²-b²
Pi*d
?d OR 2?r
?r²

9. a² - b² is equal to
(a+b)(a-b)
x°/360 times (?r²) - where x is the degrees in the angle
2lw+2lh+2wh
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

10. Circle
2x2x2x5x5
The set of points which are all the same distance (the radius) from a certain point (the center).
2(pi)r
Sum of terms/number of terms

11. 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.
T1 + (n-1)d
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 distance across the circle through the center of the circle.The diameter is twice the radius.

12. a³-b³
1. Given event A: A + notA = 1.
(a+b)(a²-ab+b²)
(a-b)(a²+ab+b²)
(x+y)(x-y)

13. (a+b)(c+d)
Groups - teams - or committees.
S^2
Ac+ad+bc+bd
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.

14. What is the factored version of x² -2xy + y² ?
1.4
T1 * r^(n-1)
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
(x-y)²

15. Perimeter of polygon
T1 + (n-1)d
Sum of the lengths of the sides
(n degrees/360) * (pi)r^2
4s (where s = length of a side)

16. Area of 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.
(y2-y1)/(x2-x1)
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

17. Area of Circles
x² -2xy + y²
The set of points which are all the same distance (the radius) from a certain point (the center).
S^2
A=?r2

18. Circumference of a circle using radius
Equal
4s
2pi*r
Opens up

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.

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20. What is the average?
Sum of the lengths of the sides
Sum of terms/number of terms
(n/2) * (t1+tn)
y = kx

21. Chord
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.
Total distance/total time
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
The distance from one point on the circle to another point on the circle.

22. length of a sector
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
x°/360 times (2 pi r) - where x is the degrees in the angle
S^2
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

23. How do you find the sum of a geometric sequence?
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.
T1 * r^(n-1)/(r-1)
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
Sqr( x2 -x1) + (y2- y1)

24. What is a '30:60:90' triangle?
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
(x+y)²
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(r+h)

25. What is the area of a cylinder?
T1 * r^(n-1)/(r-1)
A²-b²
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.
2(pi)r(r+h)

26. Define 'proportionate' values
½(base x height) [or (base x height)÷2]
(y-y1)=m(x-x1)
(x+y)(x-y)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

27. Point-Slope form
A+b
y-y1=m(x-x1)
Number of desired outcomes/number of total outcomes
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.

28. In a parabola - if the first term is positive - the parabola ________.
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.
Opens up
(n-2)180
Order does matter for a permutation - but does not matter for a combination.

29. Perimeter of rectangle
T1 * r^(n-1)
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.
2l+2w
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.

30. How do you calculate the percentage of change?
Total distance/total time
T1 + (n-1)d
Percentage Change = Difference/Original * 100
Groups - teams - or committees.

31. Area of Rectangle
Lw
Probability A * Probability B
Arrangements - orders - schedules - or lists.
Opens up

32. a³+b³
Negative
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
(a+b)(a²-ab+b²)
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.

33. What is 'absolute value' - and how is it represented?

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34. Area of a sector
(n degrees/360) * 2(pi)r
x°/360 times (?r²) - where x is the degrees in the angle
1.7
A=bh

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

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36. How do you multiply and divide square roots?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Total distance/total time
The average - mean - median - or mode.
Not necessarily. This is a trick question - because x could be either positive or negative.

37. What is the point-slope form?
(y-y1)=m(x-x1)
(pi)r^2(h)
2lw+2lh+2wh
2(lw+wh+lh)

38. If x² = 144 - does v144 = x?
Not necessarily. This is a trick question - because x could be either positive or negative.
2(pi)r(r+h)
S^2
A+b

39. Area of rectangle - square - parallelogram
x²-y²
Not necessarily. This is a trick question - because x could be either positive or negative.
Probability A + Probability B
A=bh

40. If something is possible but not certain - what is the numeric range of probability of it happening?
T1 + (n-1)d
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.
S^2
Between 0 and 1.

41. Does order matter for a permutation? How about for a combination?
Groups - teams - or committees.
The distance from one point on the circle to another point on the circle.
Order does matter for a permutation - but does not matter for a combination.
1

42. What is the area of a solid rectangle?
2(lw+wh+lh)
Lwh
T1 * r^(n-1)
Pir^2h

43. Volume of prism
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Bh
1/2 h (b1 + b2)
1/3Bh

44. For a bell curve - what three terms might be used to describe the number in the middle?
Lw
2 pi r
The average - mean - median - or mode.
1/x^a

45. List two odd behaviors of exponents
Part of a circle connecting two points on the circle.
(a+b)(a-b)
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. 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.

46. When you reverse FOIL - the term that needs to add out is the _____
Sum of terms/number of terms
Less
Middle term
2x2x2x5x5

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

48. Area of Trapezoid
T1 + (n-1)d
x°/360 times (2 pi r) - where x is the degrees in the angle
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
1/2 h (b1 + b2)

49. What is the factored version of (x+y)(x-y) ?
T1 + (n-1)d
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
x²-y²

50. What is a 'Right isosceles' triangle?
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.
1.4
Last term
The average - mean - median - or mode.