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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. Does order matter for a permutation? How about for a combination?
(x1+x2)/2 - (y1+y2)/2
T1 * r^(n-1)/(r-1)
Order does matter for a permutation - but does not matter for a combination.
4s (where s = length of a side)

2. How do you find the sum of an arithmetic sequence?
(n/2) * (t1+tn)
1/3pir^2*h
Equal
4s (where s = length of a side)

3. perimeter of square
2x2x2x5x5
1.4
(a-b)(a²+ab+b²)
4s

4. What must be true before a quadratic equation can be solved?

5. What is a 'Right isosceles' triangle?
The distance from one point on the circle to another point on the circle.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.
A=?r2

6. In a coordinate system - what is the origin?
(0 -0)
(n degrees/360) * 2(pi)r
Probability A + Probability B
Lwh

7. Area of rectangle - square - parallelogram
(a-b)(a+b)
A segment connecting the center of a circle to any point on the circle
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=bh

8. Define a factorial of a number - and how it is written.
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'.
Arrangements - orders - schedules - or lists.
(x+y)²
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.

9. What is the surface area of a cylinder?
2(pi)r(r+h)
T1 * r^(n-1)
The set of points which are all the same distance (the radius) from a certain point (the center).
4s (where s = length of a side)

10. What is the 'distributive law'?
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.
1.7
2l+2w
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.

11. List two odd behaviors of exponents
A+b
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.
2(pi)r(r+h)
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.

12. In a coordinate system - identify the quadrants and describe their location.
4s (where s = length of a side)
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
(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.

13. What is the prime factorization of 200?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Percentage Change = Difference/Original * 100
2x2x2x5x5
Pi*d

14. What is the factored version of x² -2xy + y² ?
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.
x²-y²
(x-y)²
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

15. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
Between 0 and 1.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
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.
?d OR 2?r

16. What is the 'Third side' rule for triangles?
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'.
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.
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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

17. Rough est. of v3 =
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
x°/360 times (?r²) - where x is the degrees in the angle
The total # of possible outcomes.
1.7

18. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
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
?d OR 2?r
A²-b²
y = k/x

19. 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.
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
(a-b)(a+b)
(n degrees/360) * (pi)r^2

20. What is the factored version of x² + 2xy + y² ?
The total # of possible outcomes.
(x+y)²
(n/2) * (t1+tn)
1.7

21. Perimeter (circumference) of a circle
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
S² - where s = length of a side
2 pi r
Bh

22. Area of a triangle
½(base x height) [or (base x height)÷2]
4s (where s = length of a side)
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.

23. How do you find the nth term of an arithmetic sequence?
T1 + (n-1)d
The total # of possible outcomes.
S^2
Ac+ad+bc+bd

24. Circumference of cirlce using diameter
S*v2
The set of points which are all the same distance (the radius) from a certain point (the center).
Pi*d
x² + 2xy + y²

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

26. Area of a trapezoid
S² - where s = length of a side
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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

27. What is the average speed?
Total distance/total time
Sum of the lengths of the sides
(y-y1)=m(x-x1)
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.

28. What are the side ratios for a 30:60:90 triangle?
?r²
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.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
An ange whose vertex is the center of the circle

29. How do you calculate a diagonal inside a 3-dimensional rectangular box?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
2pir^2 + 2pir*h
x²-y²
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

30. Surface Area of rectangular prism
Total distance/total time
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.
2lw+2lh+2wh
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.

31. What'S the most important thing to remember about charts you'll see on the GRE?
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.
Sum of the lengths of the sides
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.
1/x^a

32. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
y2-y1/x2-x1
Bh
Opens down

33. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
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)
1. Given event A: A + notA = 1.
A=bh

34. What is the factored version of (x+y)(x-y) ?
y2-y1/x2-x1
S*v2
x²-y²
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.

35. Area of Circle
Pi*r^2
Pi*d
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.
2pi*r

36. a²+2ab+b²
(a+b)²
Groups - teams - or committees.
x²-y²
T1 + (n-1)d

37. How do you multiply and divide square roots?
Bh
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'.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Sum of terms/number of terms

38. What is the side ratio for a Right Isosceles triangle?
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
y = kx
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Last term

39. Define 'proportionate' values
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.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Pi*d
y2-y1/x2-x1

40. Perimeter of a square
1/x^a
T1 + (n-1)d
4s (where s = length of a side)
Pi*r^2

41. In intersecting lines - opposite angles are _____.
y = k/x
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
Middle term

42. Slope
Middle term
The average - mean - median - or mode.
2(pi)r(r+h)
(y2-y1)/(x2-x1)

43. What do permutation problems often ask for?
4s (where s = length of a side)
T1 + (n-1)d
Arrangements - orders - schedules - or lists.
(0 -0)

44. What is a '30:60:90' triangle?
(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
(n/2) * (t1+tn)
(a-b)(a+b)

45. If something is certain to happen - how is the probability of this event expressed mathematically?
x°/360 times (?r²) - where x is the degrees in the angle
1/1
Probability A * Probability B
y = k/x

46. a³-b³
Opens down
(a-b)(a²+ab+b²)
(a-b)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.

47. Circle
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
The set of points which are all the same distance (the radius) from a certain point (the center).
x² -2xy + y²
1/2bh

48. What is an 'equilateral' triangle?
y2-y1/x2-x1
(0 -0)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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.

49. What is the circumference of a circle?
x²-y²
2(pi)r
T1 * r^(n-1)/(r-1)
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.

50. What is the area of a solid rectangle?
The set of points which are all the same distance (the radius) from a certain point (the center).
2(lw+wh+lh)
S² - where s = length of a side
Probability A * Probability B