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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. Rough est. of v2 =
(a-b)(a²+ab+b²)
Opens up
1.4
1

2. 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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3. What is the area of a circle?
1/x^a
Ac+ad+bc+bd
1/1
(pi)r^2

4. Area of Circle
N x M
A segment connecting the center of a circle to any point on the circle
Pi*r^2
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.

5. 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.
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.
Pi*r^2
1.4

6. What is the factored version of (x+y)(x-y) ?
(x1+x2)/2 - (y1+y2)/2
½(b1 +b2) x h [or (b1 +b2) x h÷2]
A=?r2
x²-y²

7. Explain the special properties of zero.
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.
x²-y²
Equal
A segment connecting the center of a circle to any point on the circle

8. Surface Area of rectangular prism
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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.
Order does matter for a permutation - but does not matter for a combination.
2lw+2lh+2wh

9. The probability of an event happening and the probability of an event NOT happening must add up to what number?
S*v2
1. Given event A: A + notA = 1.
(n degrees/360) * 2(pi)r
The set of points which are all the same distance (the radius) from a certain point (the center).

10. Area of a circle
4s
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.
?d OR 2?r
?r²

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

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12. Area of rectangle - square - parallelogram
A=bh
?d OR 2?r
(x+y)²
An ange whose vertex is the center of the circle

13. Area of Square
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
S^2
x°/360 times (?r²) - where x is the degrees in the angle
A=?r2

14. Circle
The set of points which are all the same distance (the radius) from a certain point (the center).
A segment connecting the center of a circle to any point on the circle
y2-y1/x2-x1
½(base x height) [or (base x height)÷2]

15. Perimeter of rectangle
2Length + 2width [or (length + width) x 2]
2l+2w
1/3Bh
Probability A * Probability B

16. a³+b³
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.
1/1
2(lw+wh+lh)
(a+b)(a²-ab+b²)

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

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18. Perimeter of polygon
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.
Part of a circle connecting two points on the circle.
Sum of the lengths of the sides
1/2 h (b1 + b2)

19. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
T1 + (n-1)d
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.
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.

20. How do you multiply and divide square roots?
The average - mean - median - or mode.
The four big angles are equal and the four small angles are equal
y-y1=m(x-x1)
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

21. Area of Rectangle
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.
Groups - teams - or committees.
4s (where s = length of a side)
Lw

22. How do you solve a permutation?
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.
(a+b)²
Part of a circle connecting two points on the circle.
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

23. (a+b)(c+d)
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.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
1.7
Ac+ad+bc+bd

24. Circumference of a circle
(y-y1)=m(x-x1)
4/3pir^3
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
?d OR 2?r

25. perimeter of square
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
2(pi)r
Pi*d
4s

26. Rough est. of v1 =
Pi*r^2
A segment connecting the center of a circle to any point on the circle
1
y2-y1/x2-x1

27. What is the volume of a cylinder?
(pi)r^2(h)
2(pi)r(r+h)
Sum of the lengths of the sides
N x M

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

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29. How do you find the slope?
T1 * r^(n-1)/(r-1)
2(pi)r
y2-y1/x2-x1
Not necessarily. This is a trick question - because x could be either positive or negative.

30. What is the unfactored version of (x+y)² ?
x² + 2xy + y²
(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.
Pir^2h

31. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
(x+y)²
S² - where s = length of a side
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)

32. If something is possible but not certain - what is the numeric range of probability of it happening?
Sqr( x2 -x1) + (y2- y1)
Between 0 and 1.
2(lw+wh+lh)
(pi)r^2

33. What is the distance formula?
Sqr( x2 -x1) + (y2- y1)
?d OR 2?r
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.
Middle term

34. How do you calculate the percentage of change?
½(base x height) [or (base x height)÷2]
2pi*r
Between 0 and 1.
Percentage Change = Difference/Original * 100

35. What is the point-slope form?
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.
Pi*r^2
(y-y1)=m(x-x1)
Between 0 and 1.

36. What do permutation problems often ask for?
(a-b)(a+b)
1/1
Arrangements - orders - schedules - or lists.
1.4

37. a²+2ab+b²
1
Not necessarily. This is a trick question - because x could be either positive or negative.
(a+b)²
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

38. What is the prime factorization of 200?
2x2x2x5x5
Middle term
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 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.

39. What is the length of an arc?
1
1/3Bh
1/1
(n degrees/360) * 2(pi)r

40. Arc
The total # of possible outcomes.
C =?d
(0 -0)
Part of a circle connecting two points on the circle.

41. In a coordinate system - what is the origin?
(0 -0)
T1 + (n-1)d
Arrangements - orders - schedules - or lists.
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.

42. What is 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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
4s (where s = length of a side)
The total # of possible outcomes.

43. a³-b³
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(a-b)(a²+ab+b²)
A²-b²
(pi)r^2(h)

44. What is an 'equilateral' triangle?
2(lw+wh+lh)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
2x2x2x5x5
Equal

45. When a line crosses two parallel lines - ________.
Number of desired outcomes/number of total outcomes
x² -2xy + y²
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
The four big angles are equal and the four small angles are equal

46. Lines reflected over the x or y axis have ____ slopes.
Bh
Negative
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.

47. How do you calculate a diagonal inside a 3-dimensional rectangular box?
N x M
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
2pi*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.

48. Perimeter of a rectangle
2 pi r
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.
2Length + 2width [or (length + width) x 2]
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.

49. (a+b)(a-b)=
Probability A * Probability B
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.
4s (where s = length of a side)
A²-b²

50. How do you calculate the probability of two events in a row? (Probability of A and B)
1
y-y1=m(x-x1)
(a+b)(a²-ab+b²)
Probability A * Probability B