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GRE Math 2

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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 distance formula?
A=bh
Bh
Sqr( x2 -x1) + (y2- y1)
(0 -0)

2. What is the side ratio for a Right Isosceles triangle?
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.
x² + 2xy + y²
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.

3. Circumference of cirlce using diameter
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.
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.
Pi*d
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.

4. What is the factored version of x² + 2xy + y² ?
(x+y)²
(y2-y1)/(x2-x1)
2pir^2 + 2pir*h
1. Given event A: A + notA = 1.

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

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6. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
1.4
Probability A + Probability B
Sum of terms/number of terms
½(b1 +b2) x h [or (b1 +b2) x h÷2]

7. In intersecting lines - opposite angles are _____.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
(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.
Equal

8. If x² = 144 - does v144 = x?
(n-2)180
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Not necessarily. This is a trick question - because x could be either positive or negative.
?d OR 2?r

9. If something is possible but not certain - what is the numeric range of probability of it happening?
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Between 0 and 1.
(pi)r^2(h)
1.4

10. What do permutation problems often ask for?
4pir^2
(n/2) * (t1+tn)
Arrangements - orders - schedules - or lists.
Pi*d

11. a²+2ab+b²
(a+b)²
Number of desired outcomes/number of total outcomes
Pi*d
Sum of the lengths of the sides

12. What'S the most important thing to remember about charts you'll see on the GRE?
The four big angles are equal and the four small angles are equal
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.
(0 -0)
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.

13. Volume of Cylinder
Negative
S^2
Pir^2h
2l+2w

14. Area of Trapezoid
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Less
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.
1/2 h (b1 + b2)

15. Diameter
A=bh
Percentage Change = Difference/Original * 100
(y2-y1)/(x2-x1)
The distance across the circle through the center of the circle.The diameter is twice the radius.

16. What is the area of a cylinder?
2(pi)r(r+h)
y = k/x
(x-y)²
2Length + 2width [or (length + width) x 2]

17. Area of a triangle
½(base x height) [or (base x height)÷2]
Percentage Change = Difference/Original * 100
x²-y²
(a-b)²

18. What is the point-slope form?
T1 * r^(n-1)/(r-1)
2x2x2x5x5
2(lw+wh+lh)
(y-y1)=m(x-x1)

19. What is the probability?
(pi)r^2(h)
1. Given event A: A + notA = 1.
Number of desired outcomes/number of total outcomes
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. Define the mode of a set of numbers.
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.
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.
Order does matter for a permutation - but does not matter for a combination.
y2-y1/x2-x1

21. What is the area of a circle?
Between 0 and 1.
1
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.
(pi)r^2

22. What is the sum of the inside angles of an n-sided polygon?
The distance across the circle through the center of the circle.The diameter is twice the radius.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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-2)180

23. a³+b³
(a+b)(a-b)
2 pi r
(a+b)(a²-ab+b²)
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.

24. In a parabola - if the first term is negative - the parabola ________.
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.
(x1+x2)/2 - (y1+y2)/2
Opens down
4/3pir^3

25. a²-2ab+b²
The distance across the circle through the center of the circle.The diameter is twice the radius.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
(a-b)²
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

26. When you reverse FOIL - the term that needs to add out is the _____
Middle term
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.
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.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

27. What is the unfactored version of (x-y)² ?
2(pi)r
Last term
2 pi r
x² -2xy + y²

28. 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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29. Area of a circle
Opens up
?r²
(a-b)²
The set of points which are all the same distance (the radius) from a certain point (the center).

30. Area of Rectangle
Lw
x² -2xy + y²
(a-b)(a+b)
x°/360 times (2 pi r) - where x is the degrees in the angle

31. In a coordinate system - what is the origin?
(n degrees/360) * (pi)r^2
Probability A + Probability B
(0 -0)
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

32. Perimeter (circumference) of a circle
y-y1=m(x-x1)
2 pi r
Pi*r^2
2(pi)r

33. Rough est. of v2 =
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
1.4
Pir^2h
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.

34. Perimeter of a square
Pir^2h
4s (where s = length of a side)
y = mx + b -- where: x -y are the coordinates of any point on the line (allows you to locate) m is the slope of the line b is the intercept (where the line crosses the y-axis) - Sometimes on the GRE - 'a' is substituted for 'm' - as in 'y = ax + b'.
The average - mean - median - or mode.

35. What is the circumference of a circle?
Bh
2(pi)r
(pi)r^2(h)
?d OR 2?r

36. Lines reflected over the x or y axis have ____ slopes.
(a+b)(a-b)
Negative
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.
1/3Bh

37. Surface Area of Sphere
Percentage Change = Difference/Original * 100
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
4pir^2
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

38. Arc
N x M
Part of a circle connecting two points on the circle.
b±[vb²-4ac]/2a
Negative

39. If something is certain to happen - how is the probability of this event expressed mathematically?
1/1
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(y-y1)=m(x-x1)
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.

40. What is the 'distributive law'?
Probability A * Probability B
1/2bh
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.

41. What is the volume of a cylinder?
(x-y)²
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.
2Length + 2width [or (length + width) x 2]
(pi)r^2(h)

42. Rough est. of v3 =
C =?d
x² -2xy + y²
1.4
1.7

43. What is the unfactored version of x²-y² ?
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.
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.
(x+y)(x-y)
?d OR 2?r

44. For a bell curve - what three terms might be used to describe the number in the middle?
Ac+ad+bc+bd
Last term
1/3pir^2*h
The average - mean - median - or mode.

45. What is inversely proportional?
y = k/x
A+b
Bh
Between 0 and 1.

46. Does order matter for a permutation? How about for a combination?
2l+2w
4s (where s = length of a side)
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Order does matter for a permutation - but does not matter for a combination.

47. What is the 'Third side' rule for triangles?
Ac+ad+bc+bd
y = mx + b -- where: x -y are the coordinates of any point on the line (allows you to locate) m is the slope of the line b is the intercept (where the line crosses the y-axis) - Sometimes on the GRE - 'a' is substituted for 'm' - as in 'y = ax + b'.
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 - and greater than the difference between the other two sides.

48. Area of a square
S² - where s = length of a side
(pi)r^2
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.
Part of a circle connecting two points on the circle.

49. Explain the special properties of zero.
Number of desired outcomes/number of total outcomes
(a+b)(a-b)
T1 * r^(n-1)
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.

50. What is the side ratio 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.
Number of desired outcomes/number of total outcomes
(pi)r^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

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GRE Math 2

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