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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 area of a solid rectangle?
1/x^a
2(lw+wh+lh)
(pi)r^2(h)
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

2. a²-2ab+b²
(a-b)²
4pir^2
1/2 h (b1 + b2)
2pir^2 + 2pir*h

3. Point-Slope form
1/3Bh
Opens up
y-y1=m(x-x1)
2(pi)r

4. Area of Square
S^2
1
2lw+2lh+2wh
1.4

5. What is the unfactored version of (x+y)² ?
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.
x² + 2xy + y²
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.
(a+b)²

6. What is the probability?
?r²
Number of desired outcomes/number of total 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'.
Lwh

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

8. a³-b³
A=?r2
½(base x height) [or (base x height)÷2]
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.
(a-b)(a²+ab+b²)

9. What are the side ratios for a 30:60:90 triangle?
(a-b)²
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
Total distance/total time

10. In a parabola - if the first term is negative - the parabola ________.
1
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
Between 0 and 1.
Opens down

11. a²+2ab+b²
(a+b)²
The distance across the circle through the center of the circle.The diameter is twice the radius.
Number of desired outcomes/number of total outcomes
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.

12. (a+b)(a-b)=
A²-b²
2 pi r
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.
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.

13. Perimeter of polygon
(a+b)²
Between 0 and 1.
2(lw+wh+lh)
Sum of the lengths of the sides

14. What is a 'Right isosceles' triangle?
1/1
½(b1 +b2) x h [or (b1 +b2) x h÷2]
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.

15. Area of Trapezoid
An ange whose vertex is the center of the circle
C =?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.
1/2 h (b1 + b2)

16. 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.
A²-b²
Opens down
S*v2

17. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
The four big angles are equal and the four small angles are equal
(y2-y1)/(x2-x1)
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.
Arrangements - orders - schedules - or lists.

18. What do permutation problems often ask for?
A segment connecting the center of a circle to any point on the circle
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.
2(pi)r
Arrangements - orders - schedules - or lists.

19. Surface Area of rectangular prism
2lw+2lh+2wh
(n degrees/360) * (pi)r^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.
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.

20. Define a factorial of a number - and how it is written.
Pi*d
1. Given event A: A + notA = 1.
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.
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.

21. What is directly proportional?
(n degrees/360) * 2(pi)r
(a+b)²
y = kx
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.

22. What do combination problems usually ask for?
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.
Groups - teams - or committees.
Between 0 and 1.
4s (where s = length of a side)

23. In intersecting lines - opposite angles are _____.
x² + 2xy + y²
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.
Equal
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

24. Slope
(y2-y1)/(x2-x1)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
2(pi)r(r+h)
(n degrees/360) * 2(pi)r

25. Volume of prism
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
The average - mean - median - or mode.
Bh

26. Volume of sphere
Less
y = kx
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.
4/3pir^3

27. When you reverse FOIL - the term that needs to add out is the _____
Pi*d
1. Given event A: A + notA = 1.
Middle term
T1 * r^(n-1)

28. What is the side ratio for a 30:60:90 triangle?
Opens down
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
x²-y²

29. What is inversely proportional?
1/2bh
y = k/x
2(lw+wh+lh)
A segment connecting the center of a circle to any point on the circle

30. Define the 'Third side' rule for triangles

31. Lines reflected over the x or y axis have ____ slopes.
The total # of possible outcomes.
Negative
4pir^2
2(pi)r(r+h)

32. What is the unfactored version of x²-y² ?
Probability A * Probability B
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
(x+y)(x-y)
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.

33. Area of Circles
Middle term
?d OR 2?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.
A=?r2

34. Surface Area of Cylinder
The distance from one point on the circle to another point on the circle.
S^2
(x+y)²
2pir^2 + 2pir*h

35. If something is certain to happen - how is the probability of this event expressed mathematically?
1/1
(pi)r^2
A²-b²
Equal

36. If x² = 144 - does v144 = x?
x²-y²
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.
Not necessarily. This is a trick question - because x could be either positive or negative.
?d OR 2?r

37. Area of Rectangle
1. Given event A: A + notA = 1.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Lw

38. Circumference of cirlce using diameter
y = kx
Pi*d
4pir^2
4s (where s = length of a side)

39. What is the factored version of x² -2xy + y² ?
1/3pir^2*h
(x-y)²
Sqr( x2 -x1) + (y2- y1)
A=?r2

40. Volume of Cone
T1 * r^(n-1)/(r-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.
1/3pir^2*h
The total # of possible outcomes.

41. What is the average speed?
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.
T1 * r^(n-1)
Last term
Total distance/total time

42. length of a sector
x°/360 times (2 pi r) - where x is the degrees in the angle
S*v2
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Sqr( x2 -x1) + (y2- y1)

43. What is the circumference of a circle?
Probability A + Probability B
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
2(pi)r
A+b

44. What is a '30:60:90' triangle?
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.
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.
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
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

45. What is 'absolute value' - and how is it represented?

46. To divide powers with the same base...
C =?d
Equal
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
1/3Bh

47. Rough est. of v2 =
(a-b)(a²+ab+b²)
2l+2w
1. Factored: x² - y² Unfactored: (x+y)(x-y) 2. Factored: (x+y)² Unfactored: x² + 2xy + y² 3. Factored: (x-y)² Unfactored: x² - 2xy + y²
1.4

48. Define the formula for calculating slope.
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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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.
N x M

49. What'S the most important thing to remember about charts you'll see on the GRE?
(a+b)(a²-ab+b²)
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
2lw+2lh+2wh

50. Explain the special properties of zero.
y-y1=m(x-x1)
Pi*r^2
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 total # of possible outcomes.