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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. Volume of Cone
1/3pir^2*h
T1 + (n-1)d
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.
b±[vb²-4ac]/2a

2. Circle
The set of points which are all the same distance (the radius) from a certain point (the center).
An ange whose vertex is the center of the circle
N x M
S*v2

3. Area of Parallelogram
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Bh
N x M
C =?d

4. What is inversely proportional?
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
y = k/x
4/3pir^3
Total distance/total time

5. What is the 'Third side' rule for triangles?
(pi)r^2(h)
1/1
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.
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

6. What is the equation of a line?

7. Area of Square
S^2
1.7
(x+y)(x-y)
A²-b²

8. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
Part of a circle connecting two points 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.
S² - where s = length of a side
?d OR 2?r

9. Radius (Radii)
Part of a circle connecting two points on the circle.
A segment connecting the center of a circle to any point on the circle
(a+b)²
(n/2) * (t1+tn)

10. If something is certain to happen - how is the probability of this event expressed mathematically?
2 pi r
½(base x height) [or (base x height)÷2]
C =?d
1/1

11. Point-Slope form
x°/360 times (2 pi r) - where x is the degrees in the angle
1/3Bh
1/2bh
y-y1=m(x-x1)

12. What is the circumference of a circle?
The distance across the circle through the center of the circle.The diameter is twice the radius.
1
Bh
2(pi)r

13. Area of Circle
Pi*r^2
(x-y)²
2pi*r
x² + 2xy + y²

14. What is the factored version of x² -2xy + y² ?
S^2
x² + 2xy + y²
(x-y)²
y2-y1/x2-x1

15. Area of a triangle
½(base x height) [or (base x height)÷2]
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.
4s
(y-y1)=m(x-x1)

16. Rough est. of v2 =
The distance across the circle through the center of the circle.The diameter is twice the radius.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Sum of the lengths of the sides
1.4

17. How do you calculate a diagonal inside a 3-dimensional rectangular box?
Total distance/total time
S*v2
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Opens down

18. What is the sum of the inside angles of an n-sided polygon?
A+b
(n-2)180
Not necessarily. This is a trick question - because x could be either positive or negative.
Probability A * Probability B

19. What is the average speed?
1/2bh
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Sum of the lengths of the sides
Total distance/total time

20. The probability of an event happening and the probability of an event NOT happening must add up to what number?
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.
Ac+ad+bc+bd
?d OR 2?r
1. Given event A: A + notA = 1.

21. How do you find the nth term of an arithmetic sequence?
4s
1/x^a
T1 + (n-1)d
x² + 2xy + y²

22. How do you multiply powers with the same base?
(x1+x2)/2 - (y1+y2)/2
2l+2w
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
x² -2xy + y²

23. Perimeter of rectangle
1/2bh
2l+2w
2(pi)r(r+h)
(a-b)(a²+ab+b²)

24. What is directly proportional?
2pi*r
x² + 2xy + y²
(pi)r^2(h)
y = kx

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

26. What is the area of a triangle?
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.
N x M
1/2bh
2(pi)r(r+h)

27. Area of Triangle
The distance across the circle through the center of the circle.The diameter is twice the radius.
1
Sum of the lengths of the sides
1/2bh

28. Perimeter of polygon
Sum of the lengths of the sides
Pir^2h
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
(x+y)(x-y)

29. How do you calculate the probability of two events in a row? (Probability of A and B)
Probability A * Probability B
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

30. Define a factorial of a number - and how it is written.
(n degrees/360) * (pi)r^2
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.
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.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

31. What is the point-slope form?
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.
Between 0 and 1.
(y-y1)=m(x-x1)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

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

33. What is the area of a circle?
Groups - teams - or committees.
(pi)r^2
1/2 h (b1 + b2)
(pi)r^2(h)

34. length of a sector
The total # of possible outcomes.
A segment connecting the center of a circle to any point on the circle
x°/360 times (2 pi r) - where x is the degrees in the angle
(a-b)(a²+ab+b²)

35. Define 'proportionate' values
(n degrees/360) * (pi)r^2
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
(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.

36. Area of Trapezoid
Negative
A+b
1. Given event A: A + notA = 1.
1/2 h (b1 + b2)

37. If x² = 144 - does v144 = x?
A=?r2
Less
(a+b)²
Not necessarily. This is a trick question - because x could be either positive or negative.

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

39. Volume of pyramid
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.
y2-y1/x2-x1
T1 * r^(n-1)
1/3Bh

40. How do you find the slope?
y2-y1/x2-x1
2pir^2 + 2pir*h
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.
A²-b²

41. What is an 'equilateral' triangle?
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.
Pir^2h
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
1. Given event A: A + notA = 1.

42. Circumference of cirlce using diameter
?r²
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.
Pi*d
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.

43. What is the volume of a cylinder?
½(base x height) [or (base x height)÷2]
(n degrees/360) * 2(pi)r
(pi)r^2(h)
Arrangements - orders - schedules - or lists.

44. Diameter
x² -2xy + y²
S^2
The distance across the circle through the center of the circle.The diameter is twice the radius.
1/x^a

45. Does order matter for a permutation? How about for a combination?
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.
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.
Order does matter for a permutation - but does not matter for a combination.

46. Area of a trapezoid
1/2bh
½(b1 +b2) x h [or (b1 +b2) x h÷2]
y-y1=m(x-x1)
(n degrees/360) * 2(pi)r

47. What is a 'Right isosceles' triangle?
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.
2(pi)r
S² - where s = length of a side

48. In a parabola - if the first term is negative - the parabola ________.
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.
Percentage Change = Difference/Original * 100
(n degrees/360) * (pi)r^2
Opens down

49. What is the prime factorization of 200?
The distance from one point on the circle to another point on the circle.
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
2x2x2x5x5
x² -2xy + y²

50. In a coordinate system - identify the quadrants and describe their location.
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.
A segment connecting the center of a circle to any point on the circle
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5