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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 volume of a cylinder?
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.
2pir^2 + 2pir*h
(pi)r^2(h)

2. How do you find the midpoint?
A=bh
(a-b)(a²+ab+b²)
Pi*r^2
(x1+x2)/2 - (y1+y2)/2

3. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
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.
1/1
1. Given event A: A + notA = 1.
(a+b)(a-b)

4. Rough est. of v1 =
T1 + (n-1)d
1
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.
2(lw+wh+lh)

5. Define a factorial of a number - and how it is written.
4pir^2
(y-y1)=m(x-x1)
(n-2)180
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.

6. What is the surface area of a cylinder?
2(pi)r(r+h)
2 pi r
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.
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.

7. Perimeter of polygon
y = kx
2 pi r
Sum of the lengths of the 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

8. How do you find the sum of an arithmetic sequence?
(a-b)(a+b)
2lw+2lh+2wh
(n/2) * (t1+tn)
2 pi r

9. What is the 'distributive law'?
1/2bh
Ac+ad+bc+bd
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.
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

10. Area of Circle
Pi*r^2
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.
2 pi r
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.

11. In a parabola - if the first term is positive - the parabola ________.
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.
Opens up
?d OR 2?r
4pir^2

12. What is the factored version of (x+y)(x-y) ?
x²-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
Number of desired outcomes/number of total outcomes
4pir^2

13. 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.
Last term
2(pi)r
S² - where s = length of a side

14. x^a * x^b = x^__
A+b
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
1
N x M

15. When a line crosses two parallel lines - ________.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
x² -2xy + y²
2pi*r
The four big angles are equal and the four small angles are equal

16. Circumference of a circle
Middle term
2lw+2lh+2wh
?d OR 2?r
1. Given event A: A + notA = 1.

17. For a bell curve - what three terms might be used to describe the number in the middle?
?d OR 2?r
1.4
Lwh
The average - mean - median - or mode.

18. What is the factored version of x² + 2xy + y² ?
(x+y)²
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
y = kx
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.

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

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20. What number goes on the bottom of a probability fraction?
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.
Groups - teams - or committees.
Last term
The total # of possible outcomes.

21. How do you find the nth term of a geometric sequence?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
T1 * r^(n-1)
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
½(base x height) [or (base x height)÷2]

22. Volume of Cylinder
Pir^2h
Lwh
(a-b)(a+b)
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.

23. To divide powers with the same base...
Total distance/total time
C =?d
Opens up
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

24. Surface Area of Cylinder
2pir^2 + 2pir*h
Bh
A segment connecting the center of a circle to any point on the circle
(a-b)(a+b)

25. If x² = 144 - does v144 = x?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
?d OR 2?r
Not necessarily. This is a trick question - because x could be either positive or negative.
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.

26. Area of Triangle
Lwh
1/2bh
Arrangements - orders - schedules - or lists.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

27. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
2 pi r
S*v2
The average - mean - median - or mode.
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.

28. What is the factored version of x² -2xy + y² ?
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)
(x-y)²
y = k/x

29. What is the area of a cylinder?
2(pi)r(r+h)
Pi*r^2
x°/360 times (?r²) - where x is the degrees in the angle
x² -2xy + y²

30. Surface Area of Sphere
x²-y²
Sum of terms/number of terms
4pir^2
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.

31. Area of a square
Order does matter for a permutation - but does not matter for a combination.
(x+y)²
(y-y1)=m(x-x1)
S² - where s = length of a side

32. How do you calculate the probability of two events in a row? (Probability of A and B)
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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
Probability A * Probability B
(a+b)(a-b)

33. How do you calculate the percentage of change?
x² + 2xy + y²
Between 0 and 1.
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.
Percentage Change = Difference/Original * 100

34. Area of a triangle
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
2(lw+wh+lh)
½(base x height) [or (base x height)÷2]
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

35. What is the average?
(n degrees/360) * 2(pi)r
x² + 2xy + y²
(a-b)(a²+ab+b²)
Sum of terms/number of terms

36. Arc
Part of a circle connecting two points on the circle.
Sum of the lengths of the sides
A segment connecting the center of a circle to any point on the circle
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.

37. What is the area of a solid rectangle?
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.
2(lw+wh+lh)
Not necessarily. This is a trick question - because x could be either positive or negative.
1

38. Area of Trapezoid
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
2(pi)r(r+h)
Middle term
1/2 h (b1 + b2)

39. What is the equation of a line?

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40. perimeter of square
Last term
4s
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.
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.

41. Perimeter of rectangle
2pi*r
The total # of possible outcomes.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
2l+2w

42. What is an 'equilateral' triangle?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.
Lwh

43. What are the side ratios for a 30:60:90 triangle?
Negative
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).
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

44. What is a 'Right isosceles' triangle?
Negative
Groups - teams - or committees.
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.
(n/2) * (t1+tn)

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

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46. How do you multiply powers with the same base?
y2-y1/x2-x1
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Probability A + Probability B
?r²

47. How do you calculate a diagonal inside a 3-dimensional rectangular box?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
4s
2(pi)r(r+h)
Lwh

48. What is the length of an arc?
y = kx
(n degrees/360) * 2(pi)r
Bh
The four big angles are equal and the four small angles are equal

49. What is the area of a sector?
x²-y²
(n degrees/360) * (pi)r^2
Opens up
1/2bh

50. a²-2ab+b²
2 pi r
(a-b)²
2(pi)r(r+h)
A+b

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GRE Math 2

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