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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. (a+b)(c+d)
(n/2) * (t1+tn)
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.
Ac+ad+bc+bd
y = kx

2. What is the distance formula?
The distance across the circle through the center of the circle.The diameter is twice the radius.
x°/360 times (2 pi r) - where x is the degrees in the angle
Part of a circle connecting two points on the circle.
Sqr( x2 -x1) + (y2- y1)

3. How do you find the sum of a geometric sequence?
Pi*d
2pi*r
(n degrees/360) * (pi)r^2
T1 * r^(n-1)/(r-1)

4. How do you calculate the percentage of change?
(n-2)180
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(a+b)²
Percentage Change = Difference/Original * 100

5. Area of a circle
1/3Bh
T1 * r^(n-1)/(r-1)
(a-b)(a+b)
?r²

6. What is the side ratio for a 30:60:90 triangle?
Number of desired outcomes/number of total outcomes
A segment connecting the center of a circle to any point on the circle
2(pi)r
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

7. Area of Rectangle
2x2x2x5x5
1/x^a
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.
Lw

8. What is the average?
(n degrees/360) * (pi)r^2
Sum of terms/number of terms
A=?r2
Negative

9. Lines reflected over the x or y axis have ____ slopes.
Negative
x°/360 times (?r²) - where x is the degrees in the angle
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.
Order does matter for a permutation - but does not matter for a combination.

10. How do you calculate a diagonal inside a 3-dimensional rectangular box?
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.
Number of desired outcomes/number of total outcomes
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

11. What is 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.
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
(x1+x2)/2 - (y1+y2)/2
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

12. Slope
?d OR 2?r
(y2-y1)/(x2-x1)
Lw
x²-y²

13. Central Angle
2pir^2 + 2pir*h
An ange whose vertex is the center of the circle
S^2
Equal

14. Rough est. of v2 =
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
½(base x height) [or (base x height)÷2]
1.4
C =?d

15. What is the unfactored version of (x+y)² ?
1.7
x² + 2xy + y²
Pir^2h
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.

16. To divide powers with the same base...
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
(n degrees/360) * 2(pi)r
2x2x2x5x5

17. When you reverse FOIL - the term that needs to multiply out is the _____
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.
1/2bh
Last term
?r²

18. What is the unfactored version of (x-y)² ?
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
x² -2xy + y²
The distance across the circle through the center of the circle.The diameter is twice the radius.
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.

19. Area of Parallelogram
Bh
y = k/x
2Length + 2width [or (length + width) x 2]
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.

20. How do you multiply powers with the same base?
2x2x2x5x5
Probability A + Probability B
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
½(base x height) [or (base x height)÷2]

21. Volume of sphere
The set of points which are all the same distance (the radius) from a certain point (the center).
4/3pir^3
(a-b)(a+b)
y = k/x

22. How do you calculate the surface area of a rectangular box?
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
1/3Bh
4/3pir^3
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.

23. For a bell curve - what three terms might be used to describe the number in the middle?
The average - mean - median - or mode.
(n degrees/360) * 2(pi)r
Sqr( x2 -x1) + (y2- y1)
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.

24. Define the 'Third side' rule for triangles

25. What is the average speed?
2(pi)r
Total distance/total time
Middle term
Negative

26. Circumference of cirlce using diameter
2(pi)r
1
Pi*r^2
Pi*d

27. What must be true before a quadratic equation can be solved?

28. Volume of prism
4s
The distance across the circle through the center of the circle.The diameter is twice the radius.
Bh
Order does matter for a permutation - but does not matter for a combination.

29. (a+b)(a-b)=
y = kx
1/2 h (b1 + b2)
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.
A²-b²

30. Arc
(n-2)180
(n degrees/360) * (pi)r^2
Part of a circle connecting two points on the circle.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

31. In a parabola - if the first term is negative - the parabola ________.
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
2pi*r
Opens down
The average - mean - median - or mode.

32. How do you calculate the probability of two events in a row? (Probability of A and B)
An ange whose vertex is the center of the circle
Probability A * Probability B
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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

33. Perimeter (circumference) of a circle
Arrangements - orders - schedules - or lists.
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.
2 pi r
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

34. What number goes on the bottom of a probability fraction?
The total # of possible outcomes.
(n/2) * (t1+tn)
1.4
C =?d

35. What do combination problems usually ask for?
x² -2xy + y²
The total # of possible outcomes.
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'.
Groups - teams - or committees.

36. Point-Slope form
The four big angles are equal and the four small angles are equal
T1 + (n-1)d
?d OR 2?r
y-y1=m(x-x1)

37. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
(x+y)(x-y)
2 pi r
(0 -0)

38. What is the side ratio for a Right Isosceles triangle?
1/3Bh
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.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
N x M

39. What is the factored version of (x+y)(x-y) ?
y2-y1/x2-x1
(a-b)(a²+ab+b²)
x²-y²
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.

40. What is the prime factorization of 200?
2x2x2x5x5
Probability A + Probability B
y2-y1/x2-x1
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

41. What is the area of a solid rectangle?
2(lw+wh+lh)
4s
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
y2-y1/x2-x1

42. Sector
Part of a circle connecting two points on the circle.
(a-b)(a+b)
Bh
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. The length of one side of any triangle is ____ than the sum of the other two sides.
Equal
(y2-y1)/(x2-x1)
The four big angles are equal and the four small angles are equal
Less

44. How do you find the nth term of an arithmetic sequence?
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.
1.7
?r²
T1 + (n-1)d

45. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
(x-y)²
Probability A + Probability B
?d OR 2?r
(x1+x2)/2 - (y1+y2)/2

46. What is the factored version of x² -2xy + y² ?
(x-y)²
2 pi r
Order does matter for a permutation - but does not matter for a combination.
(a-b)(a+b)

47. In a coordinate system - what is the origin?
(0 -0)
Percentage Change = Difference/Original * 100
Ac+ad+bc+bd
(y-y1)=m(x-x1)

48. perimeter of square
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.
1. Given event A: A + notA = 1.
4s
(a-b)²

49. Volume of Cone
1/3pir^2*h
(x-y)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.
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.

50. Define the range of a set of numbers.
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.
Bh
(a+b)(a-b)
2 pi r