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

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2. How do you multiply powers with the same base?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
1.7
2lw+2lh+2wh
1/3pir^2*h

3. Rough est. of v1 =
S^2
2pir^2 + 2pir*h
1
2pi*r

4. Perimeter of rectangle
2l+2w
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Groups - teams - or committees.
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.

5. In a parabola - if the first term is negative - the parabola ________.
Pir^2h
1/2 h (b1 + b2)
Opens down
Bh

6. In a coordinate system - what is the origin?
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.
(0 -0)
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 distance from one point on the circle to another point on the circle.

7. x^a * x^b = x^__
1/2bh
b±[vb²-4ac]/2a
A²-b²
A+b

8. 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.
4pir^2
y = kx
1/3Bh

9. a²-b²
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.
(a-b)(a+b)
2x2x2x5x5
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

10. What is the unfactored version of (x+y)² ?
x² + 2xy + 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
1/x^a
The average - mean - median - or mode.

11. a²+2ab+b²
(a+b)²
(pi)r^2
x² -2xy + y²
Part of a circle connecting two points on the circle.

12. How do you multiply and divide square roots?
A=?r2
4pir^2
A²-b²
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

13. If something is certain to happen - how is the probability of this event expressed mathematically?
1/1
An ange whose vertex is the center of the circle
T1 * r^(n-1)
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.

14. How do you calculate the probability of two events in a row? (Probability of A and B)
(a-b)(a²+ab+b²)
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 four big angles are equal and the four small angles are equal
Probability A * Probability B

15. What is the side ratio for a Right Isosceles triangle?
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
(y2-y1)/(x2-x1)
(x1+x2)/2 - (y1+y2)/2
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

16. length of a sector
A segment connecting the center of a circle to any point on the circle
Bh
x°/360 times (2 pi r) - where x is the degrees in the angle
Percentage Change = Difference/Original * 100

17. When you reverse FOIL - the term that needs to multiply out is the _____
(n/2) * (t1+tn)
1/x^a
Last term
Pir^2h

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

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19. What is the surface area of a cylinder?
½(base x height) [or (base x height)÷2]
S*v2
(a+b)²
2(pi)r(r+h)

20. Area of Rectangle
y = k/x
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.
Lw
2(pi)r(r+h)

21. What is the area of a solid rectangle?
Groups - teams - or committees.
2l+2w
2(lw+wh+lh)
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.

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

23. What number goes on the bottom of a probability fraction?
Sum of terms/number of terms
S^2
The total # of possible outcomes.
(x-y)²

24. a² - b² is equal to
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1
(a+b)(a-b)

25. What is the average?
Sum of terms/number of terms
(n degrees/360) * (pi)r^2
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Lw

26. Area of a sector
Lw
The distance across the circle through the center of the circle.The diameter is twice the radius.
x°/360 times (?r²) - where x is the degrees in the angle
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.

27. What is the probability?
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
Number of desired outcomes/number of total outcomes
(x+y)²
A²-b²

28. What is the circumference of a circle?
The distance from one point on the circle to another point on the circle.
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.
2(pi)r
4s

29. Volume of Cylinder
T1 * r^(n-1)
Pir^2h
?r²
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

30. Define the formula for calculating slope.
Probability A * Probability B
1.7
Percentage Change = Difference/Original * 100
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

31. Perimeter (circumference) of a circle
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'.
(a+b)(a²-ab+b²)
2 pi r
Sum of terms/number of terms

32. What is the area of a triangle?
1/2bh
(y-y1)=m(x-x1)
x²-y²
Probability A * Probability B

33. Circumference of a circle
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
?d OR 2?r
T1 * r^(n-1)/(r-1)
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

34. (a+b)(a-b)=
(y2-y1)/(x2-x1)
A²-b²
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
The total # of possible outcomes.

35. What is the factored version of (x+y)(x-y) ?
2x2x2x5x5
T1 * r^(n-1)/(r-1)
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
x²-y²

36. Does order matter for a permutation? How about for a combination?
Order does matter for a permutation - but does not matter for a combination.
Equal
Lwh
Sum of terms/number of terms

37. What is the area of a sector?
The total # of possible outcomes.
The distance across the circle through the center of the circle.The diameter is twice the radius.
A²-b²
(n degrees/360) * (pi)r^2

38. What is the side ratio for a 30:60:90 triangle?
Last term
C =?d
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1.7

39. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
1/x^a
(y2-y1)/(x2-x1)
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 four big angles are equal and the four small angles are equal

40. What is the unfactored version of x²-y² ?
4/3pir^3
The total # of possible outcomes.
(x+y)(x-y)
Pir^2h

41. Surface Area of Cylinder
1.7
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'.
2pir^2 + 2pir*h
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

42. What is the prime factorization of 200?
4s
(n degrees/360) * (pi)r^2
x°/360 times (2 pi r) - where x is the degrees in the angle
2x2x2x5x5

43. What is the area of a cylinder?
(a+b)(a²-ab+b²)
A=?r2
Percentage Change = Difference/Original * 100
2(pi)r(r+h)

44. Sector
Between 0 and 1.
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.
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.
S*v2

45. What is the sum of the inside angles of an n-sided polygon?
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.
2(pi)r(r+h)
1. Given event A: A + notA = 1.
(n-2)180

46. Area of Circles
A=?r2
The average - mean - median - or mode.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
2(pi)r(r+h)

47. Explain the special properties of zero.
2(pi)r(r+h)
(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.
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.

48. 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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49. What is the 'distributive law'?
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.
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.
(0 -0)

50. How do you find the nth term of an arithmetic sequence?
2 pi r
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.
T1 + (n-1)d
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.