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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 side ratio for 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.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
(x+y)²
Sum of terms/number of terms

2. Define the 'Third side' rule for triangles

3. What is the probability?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Number of desired outcomes/number of total outcomes
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.
x°/360 times (2 pi r) - where x is the degrees in the angle

4. If x² = 144 - does v144 = x?
2(pi)r(r+h)
Total distance/total time
Not necessarily. This is a trick question - because x could be either positive or negative.
2pi*r

5. Define the range of a set of numbers.
1/x^a
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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.
Opens up

6. What is the unfactored version of (x+y)² ?
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
x² + 2xy + y²
A=?r2
The average - mean - median - or mode.

7. What is the area of a cylinder?
Equal
x°/360 times (2 pi r) - where x is the degrees in the angle
(x+y)²
2(pi)r(r+h)

8. In intersecting lines - opposite angles are _____.
4s
Less
Equal
1

9. a³-b³
1
Sum of the lengths of the sides
x°/360 times (?r²) - where x is the degrees in the angle
(a-b)(a²+ab+b²)

10. a²-b²
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(a-b)(a+b)
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.

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

12. How do you find the slope?
y2-y1/x2-x1
(0 -0)
2l+2w
Equal

13. (a+b)(c+d)
Ac+ad+bc+bd
Arrangements - orders - schedules - or lists.
S² - where s = length of a side
Opens up

14. In a coordinate system - what is the origin?
S*v2
(0 -0)
?d OR 2?r
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

15. Area of Triangle
2(pi)r
4/3pir^3
Lw
1/2bh

16. Define the mode of a set of numbers.
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.
The average - mean - median - or mode.
1/2bh
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.

17. Area of Circle
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.
Arrangements - orders - schedules - or lists.
Pi*r^2
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

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

19. Perimeter of a square
(n/2) * (t1+tn)
4s (where s = length of a side)
1. Given event A: A + notA = 1.
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.

20. Circumference of cirlce using diameter
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.
N x M
Pi*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.

21. What is the factored version of x² -2xy + y² ?
Pi*d
4/3pir^3
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.
(x-y)²

22. Area of a triangle
4s (where s = length of a side)
1/2bh
½(base x height) [or (base x height)÷2]
Groups - teams - or committees.

23. Area of Trapezoid
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.
Bh
1/2 h (b1 + b2)

24. Area of a trapezoid
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.
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.
Order does matter for a permutation - but does not matter for a combination.
½(b1 +b2) x h [or (b1 +b2) x h÷2]

25. Volume of Cylinder
Pir^2h
Ac+ad+bc+bd
2(lw+wh+lh)
x°/360 times (2 pi r) - where x is the degrees in the angle

26. When you reverse FOIL - the term that needs to multiply out is the _____
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.
Last term
2(lw+wh+lh)
Sum of the lengths of the sides

27. Define a factorial of a number - and how it is written.
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.
S² - where s = length of a side
1.4
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.

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

29. Area of a square
The distance from one point on the circle to another point on the circle.
S² - where s = length of a side
4s
(pi)r^2

30. What is a '30:60:90' triangle?
The total # of possible outcomes.
(a+b)²
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
2pi*r

31. 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.
Opens down
Number of desired outcomes/number of total outcomes
(a+b)(a-b)

32. What is the average?
Sum of terms/number of terms
Groups - teams - or committees.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
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.

33. Volume of pyramid
1/3Bh
2x2x2x5x5
Bh
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.

34. What is a 'Right isosceles' triangle?
2(pi)r(r+h)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
A+b
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.

35. Surface Area of Cylinder
2pir^2 + 2pir*h
(0 -0)
(x+y)(x-y)
x² -2xy + y²

36. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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.
(n degrees/360) * 2(pi)r
Bh
x² -2xy + y²

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

38. What is the distance formula?
(n degrees/360) * 2(pi)r
Probability A + Probability B
Sqr( x2 -x1) + (y2- y1)
2(lw+wh+lh)

39. Surface Area of rectangular prism
A²-b²
2lw+2lh+2wh
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(a-b)²

40. a³+b³
Order does matter for a permutation - but does not matter for a combination.
(a+b)(a²-ab+b²)
4s
Part of a circle connecting two points on the circle.

41. Diameter
1/x^a
The distance across the circle through the center of the circle.The diameter is twice the radius.
2(lw+wh+lh)
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

42. The length of one side of any triangle is ____ than the sum of the other two sides.
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
1.4
Sum of the lengths of the sides
Less

43. Area of a circle
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.
?r²
1/3Bh
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

44. How do you find the sum of an arithmetic sequence?
(n/2) * (t1+tn)
Lwh
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.
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.

45. a² - b² is equal to
x²-y²
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.
T1 + (n-1)d
(a+b)(a-b)

46. What is the unfactored version of x²-y² ?
(x+y)(x-y)
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
A segment connecting the center of a circle to any point on the circle
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

47. What is the unfactored version of (x-y)² ?
Order does matter for a permutation - but does not matter for a combination.
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
1.4
x² -2xy + y²

48. How do you find the nth term of an arithmetic sequence?
T1 + (n-1)d
A=?r2
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Negative

49. Rough est. of v2 =
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.
1.4
(pi)r^2

50. What is the prime factorization of 200?
(n/2) * (t1+tn)
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.
2x2x2x5x5
(a-b)²