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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 an 'equilateral' triangle?
The total # of possible outcomes.
x°/360 times (?r²) - where x is the degrees in the angle
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

2. Volume of sphere
1/x^a
4/3pir^3
(pi)r^2(h)
2l+2w

3. a² - b² is equal to
T1 * r^(n-1)/(r-1)
Pi*r^2
(a+b)(a-b)
S*v2

4. The length of one side of any triangle is ____ than the sum of the other two sides.
Less
The four big angles are equal and the four small angles are equal
A segment connecting the center of a circle to any point on the circle
(n/2) * (t1+tn)

5. Area of Circle
x² -2xy + y²
Pi*r^2
1/x^a
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.

6. How do you multiply powers with the same base?
Probability A + Probability B
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Number of desired outcomes/number of total outcomes
(a-b)(a+b)

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

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8. a²-b²
(n degrees/360) * (pi)r^2
y-y1=m(x-x1)
1
(a-b)(a+b)

9. Volume of Cylinder
Pir^2h
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 from one point on the circle to another point on the circle.
1/3Bh

10. Rough est. of v3 =
S*v2
T1 * r^(n-1)
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.
1.7

11. What is the area of a triangle?
(n/2) * (t1+tn)
Opens up
(a+b)(a²-ab+b²)
1/2bh

12. How do you find the slope?
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.
y2-y1/x2-x1
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
1/3Bh

13. Volume of pyramid
S^2
1/3Bh
Part of a circle connecting two points on the circle.
Opens down

14. How do you find the nth term of an arithmetic sequence?
(a+b)²
T1 + (n-1)d
(0 -0)
Not necessarily. This is a trick question - because x could be either positive or negative.

15. What is the probability?
2pir^2 + 2pir*h
Number of desired outcomes/number of total outcomes
1/3pir^2*h
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

16. How do you find the sum of a geometric sequence?
2pir^2 + 2pir*h
1.4
T1 * r^(n-1)/(r-1)
1/3pir^2*h

17. Rough est. of v1 =
(n/2) * (t1+tn)
1
(pi)r^2(h)
4s (where s = length of a side)

18. If something is possible but not certain - what is the numeric range of probability of it happening?
1/3pir^2*h
Between 0 and 1.
Opens down
x°/360 times (2 pi r) - where x is the degrees in the angle

19. Area of Rectangle
Lw
Lwh
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.

20. (a+b)(a-b)=
A²-b²
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 =?d

21. How do you find the nth term of a geometric sequence?
T1 * r^(n-1)
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.
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.
(a-b)(a²+ab+b²)

22. Perimeter (circumference) of a circle
2 pi r
?d OR 2?r
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

23. To divide powers with the same base...
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.
2(pi)r
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
(n-2)180

24. Perimeter of rectangle
1/2 h (b1 + b2)
2l+2w
Opens down
x²-y²

25. What is the sum of the inside angles of an n-sided polygon?
1/3Bh
Arrangements - orders - schedules - or lists.
(n-2)180
y-y1=m(x-x1)

26. Does order matter for a permutation? How about for a combination?
2pi*r
(a+b)²
Order does matter for a permutation - but does not matter for a combination.
Lw

27. Area of Square
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.
Bh
(a+b)²
S^2

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

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29. What is the prime factorization of 200?
Part of a circle connecting two points on the circle.
2x2x2x5x5
y = k/x
(n degrees/360) * (pi)r^2

30. In intersecting lines - opposite angles are _____.
Sum of terms/number of terms
Equal
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
x²-y²

31. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
S*v2
Probability A + Probability 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.
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

32. How do you calculate the surface area of a rectangular box?
4s
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
Opens down

33. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
2(pi)r
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.
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.
1. Given event A: A + notA = 1.

34. In a parabola - if the first term is positive - the parabola ________.
(a+b)²
Opens up
T1 * r^(n-1)
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.

35. Circumference of a circle
Order does matter for a permutation - but does not matter for a combination.
The total # of possible outcomes.
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.
?d OR 2?r

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

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37. Arc
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
x°/360 times (2 pi r) - where x is the degrees in the angle
Part of a circle connecting two points on the circle.
(x+y)²

38. What is the area of a solid rectangle?
Sum of the lengths of the sides
2(lw+wh+lh)
Groups - teams - or committees.
?d OR 2?r

39. Area of a trapezoid
½(b1 +b2) x h [or (b1 +b2) x h÷2]
b±[vb²-4ac]/2a
S*v2
Pir^2h

40. Circumference of a circle using radius
y-y1=m(x-x1)
y = k/x
2pi*r
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.

41. How do you calculate a diagonal inside a 3-dimensional rectangular box?
1/2bh
A=?r2
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
2(pi)r(r+h)

42. What is the side ratio for a 30:60:90 triangle?
(y2-y1)/(x2-x1)
y2-y1/x2-x1
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1.4

43. Area of Trapezoid
1/2 h (b1 + b2)
1.7
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.
A²-b²

44. Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
(a-b)²
x°/360 times (?r²) - where x is the degrees in the angle
2x2x2x5x5

45. Area of rectangle - square - parallelogram
A=bh
The total # of possible outcomes.
Negative
Not necessarily. This is a trick question - because x could be either positive or negative.

46. What is the volume of a solid rectangle?
Lwh
y = kx
(x-y)²
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

47. Chord
y-y1=m(x-x1)
(a-b)(a²+ab+b²)
b±[vb²-4ac]/2a
The distance from one point on the circle to another point on the circle.

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

49. length of a sector
x°/360 times (2 pi r) - where x is the degrees in the angle
2Length + 2width [or (length + width) x 2]
x² + 2xy + y²
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

50. How do you calculate the percentage of change?
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.
Percentage Change = Difference/Original * 100
Negative
x² + 2xy + y²