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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?
(pi)r^2(h)
y = kx
x² + 2xy + y²
(y2-y1)/(x2-x1)

2. The length of one side of any triangle is ____ than the sum of the other two sides.
2x2x2x5x5
2lw+2lh+2wh
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
Less

3. Surface Area of rectangular prism
x°/360 times (?r²) - where x is the degrees in the angle
4/3pir^3
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
2lw+2lh+2wh

4. What is the area of a solid rectangle?
C =?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.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
2(lw+wh+lh)

5. Explain the special properties of zero.
4s (where s = length of a side)
1/1
A=?r2
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.

6. What is the factored version of x² + 2xy + y² ?
(a+b)(a²-ab+b²)
(a-b)²
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.
(x+y)²

7. What is the equation of a line?

8. What is directly proportional?
y = kx
S*v2
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.
1.7

9. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
1/2bh
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
N x M
(n-2)180

10. Circle
The four big angles are equal and the four small angles are equal
y2-y1/x2-x1
The set of points which are all the same distance (the radius) from a certain point (the center).
The distance from one point on the circle to another point on the circle.

11. When a line crosses two parallel lines - ________.
(x-y)²
The four big angles are equal and the four small angles are equal
A=bh
Bh

12. Point-Slope form
y = kx
y-y1=m(x-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.
Lwh

13. Area of Triangle
1/2bh
x°/360 times (2 pi r) - where x is the degrees in the angle
Total distance/total time
Probability A + Probability B

14. Define 'proportionate' values
(n/2) * (t1+tn)
2pi*r
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
2(pi)r(r+h)

15. Area of Trapezoid
1/2 h (b1 + b2)
(a-b)²
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
?r²

16. What is the 'Third side' rule for triangles?
Opens down
Pi*r^2
(a+b)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.

17. What is the probability?
(a-b)(a²+ab+b²)
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Number of desired outcomes/number of total outcomes
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.

18. Circumference Formula
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.
C =?d
1/3Bh
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

19. What is a 'Right isosceles' triangle?
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.
2pi*r
Less
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.

20. How do you multiply and divide square roots?
Middle term
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
A=?r2
y = k/x

21. What is the area of a sector?
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.
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.
x°/360 times (2 pi r) - where x is the degrees in the angle
(n degrees/360) * (pi)r^2

22. Volume of prism
Number of desired outcomes/number of total outcomes
Bh
2l+2w
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

23. How do you find the midpoint?
(x1+x2)/2 - (y1+y2)/2
½(base x height) [or (base x height)÷2]
2x2x2x5x5
4/3pir^3

24. For a bell curve - what three terms might be used to describe the number in the middle?
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 average - mean - median - or mode.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Order does matter for a permutation - but does not matter for a combination.

25. When you reverse FOIL - the term that needs to add out is the _____
(a+b)(a²-ab+b²)
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.
Middle term
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.

26. What is the formula for the diagonal of any square?
Equal
S*v2
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.
Part of a circle connecting two points on the circle.

27. Circumference of a circle
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
?d OR 2?r
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Number of desired outcomes/number of total outcomes

28. (a+b)(a-b)=
(a+b)(a-b)
4/3pir^3
A²-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.

29. length of a sector
Last term
Pi*d
Negative
x°/360 times (2 pi r) - where x is the degrees in the angle

30. Area of Parallelogram
y-y1=m(x-x1)
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Probability A + Probability B
Bh

31. What is the area of a triangle?
x²-y²
?d OR 2?r
(n degrees/360) * 2(pi)r
1/2bh

32. What is the point-slope form?
(a+b)²
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
2lw+2lh+2wh
(y-y1)=m(x-x1)

33. What are the side ratios for 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.
1/2 h (b1 + b2)
Negative
(a-b)(a²+ab+b²)

34. Rough est. of v1 =
1
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 segment connecting the center of a circle to any point on the circle
Sum of terms/number of terms

35. In a coordinate system - what is the origin?
(a-b)(a²+ab+b²)
(0 -0)
The distance across the circle through the center of the circle.The diameter is twice the radius.
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

36. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
Pir^2h
Lw
Probability A + Probability B
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'.

37. Area of Circle
1
Pi*r^2
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2l+2w

38. Slope
(a+b)(a-b)
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.
(y2-y1)/(x2-x1)
2(pi)r

39. Area of a square
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.
S² - where s = length of a side
Sum of the lengths of the sides
Total distance/total time

40. How do you find the sum of an arithmetic sequence?
y2-y1/x2-x1
(n/2) * (t1+tn)
Part of a circle connecting two points on the circle.
(n degrees/360) * (pi)r^2

41. To divide powers with the same base...
Pi*d
Percentage Change = Difference/Original * 100
y = kx
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

42. Does order matter for a permutation? How about for a combination?
(a+b)(a-b)
Order does matter for a permutation - but does not matter for a combination.
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.

43. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
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.
Part of a circle connecting two points on the circle.
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+b)(a-b)

44. If something is certain to happen - how is the probability of this event expressed mathematically?
(a+b)²
1/1
Groups - teams - or committees.
Less

45. What is the area of a circle?
Total distance/total time
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.
(pi)r^2
½(base x height) [or (base x height)÷2]

46. If something is possible but not certain - what is the numeric range of probability of it happening?
Between 0 and 1.
The set of points which are all the same distance (the radius) from a certain point (the center).
1
1/x^a

47. What is the unfactored version of x²-y² ?
4/3pir^3
(x+y)(x-y)
S*v2
T1 + (n-1)d

48. What is inversely proportional?
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.
y = k/x
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.
y-y1=m(x-x1)

49. x^a * x^b = x^__
Percentage Change = Difference/Original * 100
A+b
(pi)r^2(h)
y = k/x

50. In intersecting lines - opposite angles are _____.
An ange whose vertex is the center of the circle
Opens up
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.
Equal