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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. Rough est. of v1 =
Order does matter for a permutation - but does not matter for a combination.
C =?d
Lwh
1

2. Rough est. of v2 =
?r²
(x1+x2)/2 - (y1+y2)/2
1.4
1.7

3. (a+b)(a-b)=
(y-y1)=m(x-x1)
A²-b²
Pi*d
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

4. Volume of prism
1. Given event A: A + notA = 1.
A segment connecting the center of a circle to any point on the circle
S^2
Bh

5. When you reverse FOIL - the term that needs to add out is the _____
Middle term
Less
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.
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.

6. What is the unfactored version of x²-y² ?
(x+y)(x-y)
Sum of the lengths of the sides
S*v2
The four big angles are equal and the four small angles are equal

7. What is the unfactored version of (x+y)² ?
x°/360 times (2 pi r) - where x is the degrees in the angle
Bh
x² + 2xy + y²
1/2 h (b1 + b2)

8. The probability of an event happening and the probability of an event NOT happening must add up to what number?
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. Given event A: A + notA = 1.
2 pi r
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.

9. Rough est. of v3 =
Bh
S² - where s = length of a side
(a-b)(a²+ab+b²)
1.7

10. What is the factored version of x² + 2xy + y² ?
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
2lw+2lh+2wh
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(x+y)²

11. What is the unfactored version of (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.
x² -2xy + y²
Middle term
(0 -0)

12. What is the 'Third side' rule for triangles?
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.
x°/360 times (2 pi r) - where x is the degrees in the angle
2x2x2x5x5
2pir^2 + 2pir*h

13. x^-a =
Arrangements - orders - schedules - or lists.
1/x^a
S*v2
The distance from one point on the circle to another point on the circle.

14. What is the point-slope form?
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
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.
(y-y1)=m(x-x1)

15. perimeter of square
4s
The four big angles are equal and the four small angles are equal
(a-b)(a+b)
T1 * r^(n-1)/(r-1)

16. Define the 'Third side' rule for triangles

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17. Area of Trapezoid
(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.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1/2 h (b1 + b2)

18. How do you multiply powers with the same base?
2lw+2lh+2wh
b±[vb²-4ac]/2a
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(x-y)²

19. What is the prime factorization of 200?
Not necessarily. This is a trick question - because x could be either positive or negative.
2x2x2x5x5
2lw+2lh+2wh
(a+b)(a-b)

20. x^a * x^b = x^__
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.
A+b
2Length + 2width [or (length + width) x 2]
(a-b)(a²+ab+b²)

21. What kind of triangle is this: has two sides of equal length - and a 90 degree 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.
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 from one point on the circle to another point on the circle.
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

22. What is the area of a solid rectangle?
2(lw+wh+lh)
(n/2) * (t1+tn)
1/2 h (b1 + b2)
(0 -0)

23. What is a '30:60:90' triangle?
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.
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
The four big angles are equal and the four small angles are equal
Between 0 and 1.

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

25. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
Equal
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.
Probability A + Probability B
2lw+2lh+2wh

26. Volume of sphere
y-y1=m(x-x1)
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.
4/3pir^3
A+b

27. How do you find the slope?
Bh
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.
y2-y1/x2-x1
The set of points which are all the same distance (the radius) from a certain point (the center).

28. What is the factored version of (x+y)(x-y) ?
(a+b)(a-b)
x²-y²
S^2
Pi*d

29. If something is certain to happen - how is the probability of this event expressed mathematically?
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1/1
2(pi)r
y = k/x

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

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31. What are the side ratios 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.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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)(x-y)

32. To divide powers with the same base...
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
N x M
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
x² + 2xy + y²

33. a³-b³
1/1
(a-b)(a²+ab+b²)
Opens down
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

34. Circle
1/x^a
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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.
The set of points which are all the same distance (the radius) from a certain point (the center).

35. Define 'proportionate' values
T1 * r^(n-1)/(r-1)
Arrangements - orders - schedules - or lists.
?d OR 2?r
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

36. What is the 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.
x°/360 times (?r²) - where x is the degrees in the angle
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.
(pi)r^2

37. 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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38. What'S the most important thing to remember about charts you'll see on the GRE?
T1 + (n-1)d
1/2bh
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.
(x1+x2)/2 - (y1+y2)/2

39. How do you calculate the surface area of a rectangular box?
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.
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)(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.

40. How do you find the sum of a geometric sequence?
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.
T1 * r^(n-1)/(r-1)
(n-2)180
4s (where s = length of a side)

41. What is the circumference of a circle?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
1/2 h (b1 + b2)
1.4
2(pi)r

42. If x² = 144 - does v144 = x?
Pir^2h
b±[vb²-4ac]/2a
1.4
Not necessarily. This is a trick question - because x could be either positive or negative.

43. Area of Square
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.
S^2
Sum of the lengths of the sides
1.4

44. Define the range of a set of numbers.
A=bh
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.
Ac+ad+bc+bd

45. In a parabola - if the first term is negative - the parabola ________.
Opens down
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.
Probability A + Probability B
(x1+x2)/2 - (y1+y2)/2

46. 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
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.
Number of desired outcomes/number of total outcomes
(x+y)²

47. What is the volume of a cylinder?
y-y1=m(x-x1)
(x+y)(x-y)
(pi)r^2(h)
(x-y)²

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

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49. List two odd behaviors of exponents
x² -2xy + y²
Negative
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. 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.

50. Radius (Radii)
A segment connecting the center of a circle to any point on the circle
Bh
Middle term
x² -2xy + y²