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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. Volume of prism
Bh
Arrangements - orders - schedules - or lists.
1/1
4pir^2

2. Area of Rectangle
2x2x2x5x5
Lw
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
(n-2)180

3. What is a 'Right isosceles' triangle?
2lw+2lh+2wh
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.
S^2
1/2bh

4. If x² = 144 - does v144 = x?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Number of desired outcomes/number of total outcomes
Not necessarily. This is a trick question - because x could be either positive or negative.
2(pi)r

5. Area of a square
S² - where s = length of a side
N x M
(y-y1)=m(x-x1)
A=bh

6. What is the average speed?
2(pi)r(r+h)
(x+y)(x-y)
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.

7. When you reverse FOIL - the term that needs to add out is the _____
?d OR 2?r
Middle term
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Not necessarily. This is a trick question - because x could be either positive or negative.

8. Define the range of a set of numbers.
Pir^2h
1/2bh
Equal
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.

9. What is the factored version of x² + 2xy + y² ?
1. Given event A: A + notA = 1.
2l+2w
(x+y)²
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.

10. In a coordinate system - identify the quadrants and describe their location.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(n-2)180
x²-y²
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

11. How do you calculate the percentage of change?
Percentage Change = Difference/Original * 100
A+b
1/2 h (b1 + b2)
(pi)r^2(h)

12. What is the surface area of a cylinder?
(x+y)(x-y)
2(pi)r(r+h)
x² + 2xy + y²
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

13. Perimeter of rectangle
1/x^a
2l+2w
2(pi)r
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

14. What is an 'equilateral' triangle?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
(n/2) * (t1+tn)
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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.

15. How do you calculate a diagonal inside a 3-dimensional rectangular box?
½(base x height) [or (base x height)÷2]
1/2bh
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.

16. How do you solve a permutation?
2x2x2x5x5
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
4s (where s = length of a side)
The four big angles are equal and the four small angles are equal

17. 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.
x² -2xy + y²
(a+b)(a-b)
1. Given event A: A + notA = 1.

18. When you reverse FOIL - the term that needs to multiply out is the _____
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.
½(base x height) [or (base x height)÷2]
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Last term

19. Area of a sector
Probability A * Probability B
x°/360 times (?r²) - where x is the degrees in the angle
2(pi)r
Probability A + Probability B

20. What is the area of a circle?
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(pi)r^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.

21. Surface Area of Cylinder
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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.
2pir^2 + 2pir*h

22. What is the 'distributive law'?
x°/360 times (2 pi r) - where x is the degrees in the angle
2(lw+wh+lh)
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(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.

23. Surface Area of rectangular prism
x²-y²
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.
T1 * r^(n-1)/(r-1)
2lw+2lh+2wh

24. What is the sum of the inside angles of an n-sided polygon?
(n-2)180
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.
Opens up
x²-y²

25. Define a factorial of a number - and how it is written.
(a+b)(a-b)
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.
The distance across the circle through the center of the circle.The diameter is twice the radius.
Middle term

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

27. What is the area of a triangle?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(n-2)180
1/2bh
Lw

28. To divide powers with the same base...
Last term
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
?d OR 2?r
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.

29. Central Angle
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
(a+b)(a²-ab+b²)
An ange whose vertex is the center of the circle
Groups - teams - or committees.

30. 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.
A+b
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.
Ac+ad+bc+bd

31. What do permutation problems often ask for?
2(pi)r(r+h)
Arrangements - orders - schedules - or lists.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Negative

32. Area of rectangle - square - parallelogram
S^2
A²-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.
A=bh

33. Define 'proportionate' values
Middle term
1/2 h (b1 + b2)
(n degrees/360) * (pi)r^2
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

34. Volume of Cylinder
Pir^2h
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.
(n degrees/360) * 2(pi)r
Opens up

35. Slope
A=bh
2x2x2x5x5
x°/360 times (2 pi r) - where x is the degrees in the angle
(y2-y1)/(x2-x1)

36. If something is certain to happen - how is the probability of this event expressed mathematically?
(y2-y1)/(x2-x1)
Arrangements - orders - schedules - or lists.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
1/1

37. What is inversely proportional?
(x1+x2)/2 - (y1+y2)/2
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
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.
y = k/x

38. Area of Circles
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2(lw+wh+lh)
A=?r2
x°/360 times (2 pi r) - where x is the degrees in the angle

39. What is the area of a cylinder?
2(pi)r(r+h)
N x M
Not necessarily. This is a trick question - because x could be either positive or negative.
?d OR 2?r

40. Surface Area of Sphere
1/2 h (b1 + b2)
4pir^2
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.

41. What number goes on the bottom of a probability fraction?
1. Given event A: A + notA = 1.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
The total # of possible outcomes.
(pi)r^2(h)

42. What is the area of a sector?
2x2x2x5x5
Opens down
(n degrees/360) * (pi)r^2
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

43. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
N x M
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.
x² -2xy + y²

44. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
The distance from one point on the circle to another point on the circle.
A=bh
(a-b)(a+b)
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.

45. What is the prime factorization of 200?
S*v2
2x2x2x5x5
Opens up
A=bh

46. What is a '30:60:90' 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
Middle term
(x-y)²
1.7

47. a² - b² is equal to
1/x^a
(a+b)(a-b)
Percentage Change = Difference/Original * 100
The set of points which are all the same distance (the radius) from a certain point (the center).

48. What is the area of a solid rectangle?
2(lw+wh+lh)
Part of a circle connecting two points on the circle.
2(pi)r
1.4

49. Explain the special properties of zero.
Not necessarily. This is a trick question - because x could be either positive or negative.
(pi)r^2(h)
y-y1=m(x-x1)
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.

50. Rough est. of v2 =
1.4
4s
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+b)²