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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. What is the average speed?
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.
Total distance/total time
2Length + 2width [or (length + width) x 2]
x² -2xy + y²

2. What do combination problems usually ask for?
2lw+2lh+2wh
T1 * r^(n-1)
2(pi)r(r+h)
Groups - teams - or committees.

3. Circumference Formula
The total # of possible outcomes.
(n degrees/360) * (pi)r^2
C =?d
(a+b)²

4. a³+b³
1.7
Bh
(a+b)(a²-ab+b²)
2lw+2lh+2wh

5. Define the range of a set of numbers.
2x2x2x5x5
T1 + (n-1)d
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.
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.

6. What is the side ratio for a 30:60:90 triangle?
1/2bh
x°/360 times (2 pi r) - where x is the degrees in the angle
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2lw+2lh+2wh

7. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
1/2bh
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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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.

8. Surface Area of Sphere
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.
A segment connecting the center of a circle to any point on the circle
y = kx
4pir^2

9. Volume of Cone
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
1/3pir^2*h
Pi*d

10. What is the side ratio for a Right Isosceles triangle?
1/3Bh
b±[vb²-4ac]/2a
Lwh
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

11. Radius (Radii)
Equal
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
2lw+2lh+2wh
A segment connecting the center of a circle to any point on the circle

12. What is the formula for the diagonal of any square?
S*v2
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.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Number of desired outcomes/number of total outcomes

13. Circumference of cirlce using diameter
(y-y1)=m(x-x1)
Pi*d
x² -2xy + y²
1/1

14. To divide powers with the same base...
2x2x2x5x5
Opens down
The set of points which are all the same distance (the radius) from a certain point (the center).
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

15. List two odd behaviors of exponents
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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.
T1 + (n-1)d
1/3Bh

16. What is a '30:60:90' triangle?
Part of a circle connecting two points on the circle.
Number of desired outcomes/number of total outcomes
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
Order does matter for a permutation - but does not matter for a combination.

17. What is the surface area of a cylinder?
Pir^2h
2(pi)r(r+h)
Sum of the lengths of the sides
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'.

18. For a bell curve - what three terms might be used to describe the number in the middle?
(a+b)(a²-ab+b²)
Sqr( x2 -x1) + (y2- y1)
The average - mean - median - or mode.
1/2bh

19. What is inversely proportional?
Equal
Sqr( x2 -x1) + (y2- y1)
y = k/x
b±[vb²-4ac]/2a

20. x^-a =
A+b
1/x^a
Not necessarily. This is a trick question - because x could be either positive or negative.
T1 * r^(n-1)/(r-1)

21. Area of a sector
x°/360 times (?r²) - where x is the degrees in the angle
2(pi)r(r+h)
(x-y)²
(x1+x2)/2 - (y1+y2)/2

22. Area of Circle
(n degrees/360) * 2(pi)r
Pi*r^2
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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.

23. How do you find the nth term of an arithmetic sequence?
(n/2) * (t1+tn)
T1 + (n-1)d
1. Given event A: A + notA = 1.
Negative

24. How do you multiply powers with the same base?
Negative
(a+b)²
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

25. What is the point-slope form?
S^2
(y-y1)=m(x-x1)
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
The total # of possible outcomes.

26. What number goes on the bottom of a probability fraction?
The total # of possible outcomes.
2l+2w
S^2
2Length + 2width [or (length + width) x 2]

27. In intersecting lines - opposite angles are _____.
Equal
N x M
2lw+2lh+2wh
x°/360 times (2 pi r) - where x is the degrees in the angle

28. Perimeter of rectangle
2l+2w
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
The distance across the circle through the center of the circle.The diameter is twice the radius.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

29. If x² = 144 - does v144 = x?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
A=?r2
Not necessarily. This is a trick question - because x could be either positive or negative.
b±[vb²-4ac]/2a

30. Rough est. of v3 =
1/1
Pi*r^2
1.7
(a+b)(a-b)

31. What is the factored version of x² + 2xy + y² ?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
(x+y)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.
The distance across the circle through the center of the circle.The diameter is twice the radius.

32. In a parabola - if the first term is positive - the parabola ________.
The distance across the circle through the center of the circle.The diameter is twice the radius.
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.
(n/2) * (t1+tn)
Opens up

33. What is an 'equilateral' triangle?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
2pi*r
1.4
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

34. a²-2ab+b²
2(pi)r(r+h)
(a-b)²
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
The average - mean - median - or mode.

35. How do you find the slope?
y2-y1/x2-x1
Order does matter for a permutation - but does not matter for a combination.
Negative
2(lw+wh+lh)

36. What is the area of a cylinder?
2x2x2x5x5
Sum of the lengths of the sides
x°/360 times (2 pi r) - where x is the degrees in the angle
2(pi)r(r+h)

37. Define 'proportionate' values
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
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
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.

38. Quadratic Formula
b±[vb²-4ac]/2a
?d OR 2?r
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.
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

39. Volume of pyramid
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.
y2-y1/x2-x1
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.
1/3Bh

40. What is the area of a sector?
(x1+x2)/2 - (y1+y2)/2
(n/2) * (t1+tn)
(n degrees/360) * (pi)r^2
Part of a circle connecting two points on the circle.

41. What is the probability?
Number of desired outcomes/number of total outcomes
The set of points which are all the same distance (the radius) from a certain point (the center).
2(pi)r
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.

42. How do you calculate a diagonal inside a 3-dimensional rectangular box?
(x-y)²
y = kx
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.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

43. What is the unfactored version of x²-y² ?
2lw+2lh+2wh
2(pi)r(r+h)
Groups - teams - or committees.
(x+y)(x-y)

44. Circumference of a circle
?d OR 2?r
N x M
Ac+ad+bc+bd
Less

45. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
(0 -0)
N x M
A=bh
(a+b)(a-b)

46. In a coordinate system - identify the quadrants and describe their location.
(x+y)(x-y)
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.
2l+2w
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

47. Slope
(a+b)(a-b)
A=bh
(a-b)(a+b)
(y2-y1)/(x2-x1)

48. When you reverse FOIL - the term that needs to multiply out is the _____
T1 + (n-1)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.
Last term
(n degrees/360) * 2(pi)r

49. perimeter of square
(n-2)180
(x1+x2)/2 - (y1+y2)/2
Less
4s

50. (a+b)(c+d)
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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Ac+ad+bc+bd