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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 is the surface area of a cylinder?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Arrangements - orders - schedules - or lists.
(a+b)(a-b)
2(pi)r(r+h)

2. Perimeter of polygon
Sum of the lengths of the sides
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.
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.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

3. If x² = 144 - does v144 = x?
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
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.
Not necessarily. This is a trick question - because x could be either positive or negative.
Last term

4. In a parabola - if the first term is positive - the parabola ________.
y = k/x
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Opens up
1. Given event A: A + notA = 1.

5. Explain the special properties of zero.
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(lw+wh+lh)
Ac+ad+bc+bd
x°/360 times (2 pi r) - where x is the degrees in the angle

6. Define the formula for calculating slope.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Pir^2h
y-y1=m(x-x1)
(n degrees/360) * 2(pi)r

7. a²-b²
(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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2pir^2 + 2pir*h

8. How do you calculate the surface area of a rectangular box?
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.
4pir^2
Ac+ad+bc+bd
Bh

9. If something is possible but not certain - what is the numeric range of probability of it happening?
1.4
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Between 0 and 1.
2x2x2x5x5

10. What is the unfactored version of x²-y² ?
Number of desired outcomes/number of total outcomes
(x+y)(x-y)
1
2pir^2 + 2pir*h

11. In a parabola - if the first term is negative - the parabola ________.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Opens down
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.
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.

12. x^a * x^b = x^__
A+b
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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.

13. Quadratic Formula
b±[vb²-4ac]/2a
1.7
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.
4/3pir^3

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

15. In intersecting lines - opposite angles are _____.
Equal
Percentage Change = Difference/Original * 100
y = kx
?r²

16. Circumference of cirlce using diameter
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Pi*d
4s (where s = length of a side)
2(lw+wh+lh)

17. Circumference of a circle
Sqr( x2 -x1) + (y2- y1)
?d OR 2?r
1/1
x² + 2xy + y²

18. Volume of Cone
1/3pir^2*h
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 average - mean - median - or mode.
(n degrees/360) * 2(pi)r

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

20. What is the length of an arc?
(n degrees/360) * 2(pi)r
½(base x height) [or (base x height)÷2]
S^2
N x M

21. Point-Slope form
y-y1=m(x-x1)
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.
Part of a circle connecting two points on the circle.
x² -2xy + y²

22. When a line crosses two parallel lines - ________.
(n/2) * (t1+tn)
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
(x-y)²

23. How do you calculate the percentage of change?
Probability A + Probability B
Percentage Change = Difference/Original * 100
2(lw+wh+lh)
1.4

24. What'S a handy rough estimate for a circle'S perimeter - if you know it'S diameter?

25. What is the factored version of x² + 2xy + y² ?
(n degrees/360) * 2(pi)r
(x+y)²
(a+b)²
(a-b)(a²+ab+b²)

26. What is a '30:60:90' triangle?
y2-y1/x2-x1
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
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.
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

27. What is the equation of a line?

28. Circle
The set of points which are all the same distance (the radius) from a certain point (the center).
N x M
(x+y)(x-y)
2lw+2lh+2wh

29. What is directly proportional?
y-y1=m(x-x1)
1/3pir^2*h
1/2bh
y = kx

30. Define 'proportionate' values
4s (where s = length of a side)
Equal
(a-b)(a²+ab+b²)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

31. a²+2ab+b²
2(pi)r(r+h)
(a+b)²
4s (where s = length of a side)
Sqr( x2 -x1) + (y2- y1)

32. How do you find the sum of an arithmetic sequence?
(n/2) * (t1+tn)
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Not necessarily. This is a trick question - because x could be either positive or negative.
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.

33. Lines reflected over the x or y axis have ____ slopes.
Middle term
Negative
The distance across the circle through the center of the circle.The diameter is twice the radius.
T1 * r^(n-1)/(r-1)

34. Volume of sphere
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)
4/3pir^3
1/2bh

35. Area of Rectangle
The distance across the circle through the center of the circle.The diameter is twice the radius.
Negative
Lw
2pi*r

36. What is the unfactored version of (x-y)² ?
x² -2xy + y²
?r²
(a-b)(a²+ab+b²)
x² + 2xy + y²

37. a³-b³
T1 * r^(n-1)/(r-1)
(a-b)(a²+ab+b²)
C =?d
Sum of terms/number of terms

38. What is the circumference of a circle?
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
2l+2w
The set of points which are all the same distance (the radius) from a certain point (the center).
2(pi)r

39. Surface Area of Sphere
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.
4pir^2
(n degrees/360) * (pi)r^2
Not necessarily. This is a trick question - because x could be either positive or negative.

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

41. What is the unfactored version of (x+y)² ?
(x1+x2)/2 - (y1+y2)/2
4s (where s = length of a side)
x² + 2xy + y²
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.

42. The length of one side of any triangle is ____ than the sum of the other two sides.
2 pi r
1/2bh
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
Less

43. Rough est. of v1 =
1
Probability A + Probability B
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
Bh

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.
4s (where s = length of a side)
(pi)r^2
Last term

45. What is the average?
Sum of terms/number of terms
2 pi r
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.
Order does matter for a permutation - but does not matter for a combination.

46. What is inversely proportional?
(0 -0)
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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.
y = k/x

47. When you reverse FOIL - the term that needs to add out is the _____
Lw
x² -2xy + y²
Middle term
Pir^2h

48. Perimeter (circumference) of a circle
2 pi r
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
An ange whose vertex is the center of the circle
(x-y)²

49. Surface Area of Cylinder
2pir^2 + 2pir*h
1.4
Last term
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.

50. What is the area of a triangle?
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.
1/2bh
A=bh
2l+2w