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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 volume of a cylinder?
2(lw+wh+lh)
2x2x2x5x5
(pi)r^2(h)
Less

2. Explain the special properties of zero.
1/3Bh
(a-b)(a+b)
N x M
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.

3. Lines reflected over the x or y axis have ____ slopes.
(n/2) * (t1+tn)
Negative
Opens down
An ange whose vertex is the center of the circle

4. What is an 'equilateral' triangle?
1.7
(a+b)²
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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

5. What is the average?
Arrangements - orders - schedules - or lists.
(x+y)(x-y)
1.7
Sum of terms/number of terms

6. Area of Trapezoid
The distance from one point on the circle to another point on the circle.
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.
Middle term
1/2 h (b1 + b2)

7. Area of Circle
(pi)r^2
Pi*r^2
(a-b)(a+b)
(x+y)(x-y)

8. Circle
2(lw+wh+lh)
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 set of points which are all the same distance (the radius) from a certain point (the center).
1. Given event A: A + notA = 1.

9. Define the mode of a set of numbers.
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 four big angles are equal and the four small angles are equal
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
1/2bh

10. List two odd behaviors of exponents
Less
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 * r^(n-1)/(r-1)
(a+b)²

11. a³+b³
A segment connecting the center of a circle to any point on the circle
4s (where s = length of a side)
x°/360 times (?r²) - where x is the degrees in the angle
(a+b)(a²-ab+b²)

12. What is the factored version of (x+y)(x-y) ?
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
x²-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

13. What is the prime factorization of 200?
A segment connecting the center of a circle to any point on the circle
2x2x2x5x5
1. Given event A: A + notA = 1.
Ac+ad+bc+bd

14. What is the area of a sector?
(n degrees/360) * (pi)r^2
Number of desired outcomes/number of total outcomes
1.7
1/3Bh

15. If something is possible but not certain - what is the numeric range of probability of it happening?
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.
(x-y)²
(a-b)(a²+ab+b²)

16. What is the side ratio for a Right Isosceles triangle?
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 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.

17. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
2(pi)r
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
Ac+ad+bc+bd
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.

18. Area of Circles
A=?r2
The set of points which are all the same distance (the radius) from a certain point (the center).
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.
b±[vb²-4ac]/2a

19. What is the circumference of a circle?
A=bh
2(pi)r
Total distance/total time
Pi*d

20. What is the distance formula?
Not necessarily. This is a trick question - because x could be either positive or negative.
(y-y1)=m(x-x1)
1/2bh
Sqr( x2 -x1) + (y2- y1)

21. In a coordinate system - what is the origin?
(0 -0)
1/3pir^2*h
Pi*d
Number of desired outcomes/number of total outcomes

22. 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.
Total distance/total time
2l+2w
y2-y1/x2-x1

23. When a line crosses two parallel lines - ________.
The four big angles are equal and the four small angles are equal
Equal
Part of a circle connecting two points on the circle.
(y-y1)=m(x-x1)

24. Volume of pyramid
Lw
1/3Bh
Middle term
T1 * r^(n-1)

25. What number goes on the bottom of a probability fraction?
The average - mean - median - or mode.
The total # of possible outcomes.
(x+y)²
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

26. In a parabola - if the first term is negative - the parabola ________.
(a-b)(a²+ab+b²)
x°/360 times (2 pi r) - where x is the degrees in the angle
Opens up
Opens down

27. Area of a circle
Ac+ad+bc+bd
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.
?r²
x² + 2xy + y²

28. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
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.
T1 * r^(n-1)
Bh
1. Given event A: A + notA = 1.

29. a²-b²
(a-b)(a+b)
½(base x height) [or (base x height)÷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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]

30. In intersecting lines - opposite angles are _____.
Equal
y2-y1/x2-x1
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.
2Length + 2width [or (length + width) x 2]

31. How do you find the midpoint?
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.
1.7
4pir^2
(x1+x2)/2 - (y1+y2)/2

32. What is the area of a triangle?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Not necessarily. This is a trick question - because x could be either positive or negative.
1/2bh
The distance from one point on the circle to another point on the circle.

33. Does order matter for a permutation? How about for a combination?
Order does matter for a permutation - but does not matter for a combination.
(a+b)(a²-ab+b²)
y = k/x
(n-2)180

34. What is the volume of a solid rectangle?
x²-y²
Lwh
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
A²-b²

35. Slope
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.
2(lw+wh+lh)
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.
(y2-y1)/(x2-x1)

36. Perimeter of a rectangle
Total distance/total time
2Length + 2width [or (length + width) x 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.
1/2bh

37. Perimeter (circumference) of a circle
Less
(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.
2 pi r

38. Volume of prism
(pi)r^2
Bh
Order does matter for a permutation - but does not matter for a combination.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

39. Radius (Radii)
½(b1 +b2) x h [or (b1 +b2) x h÷2]
A segment connecting the center of a circle to any point on the 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
Lw

40. length of a sector
x°/360 times (2 pi r) - where x is the degrees in the angle
S*v2
Bh
Lw

41. Quadratic Formula
b±[vb²-4ac]/2a
The set of points which are all the same distance (the radius) from a certain point (the center).
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Part of a circle connecting two points on the circle.

42. How do you find the nth term of an arithmetic sequence?
T1 + (n-1)d
Not necessarily. This is a trick question - because x could be either positive or negative.
2pir^2 + 2pir*h
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.

43. How do you calculate the surface area of a rectangular box?
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.
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.
2(pi)r(r+h)
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.

44. For a bell curve - what three terms might be used to describe the number in the middle?
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'.
(pi)r^2(h)
The average - mean - median - or mode.
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.

45. Surface Area of Sphere
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.
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)
4pir^2

46. Perimeter of 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
Sum of the lengths of the sides
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.

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

48. Perimeter of rectangle
Sqr( x2 -x1) + (y2- y1)
Arrangements - orders - schedules - or lists.
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.
2l+2w

49. Diameter
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.
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.
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
The distance across the circle through the center of the circle.The diameter is twice the radius.

50. Arc
Part of a circle connecting two points on the circle.
Groups - teams - or committees.
1/3Bh
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.