Test your basic knowledge |

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. 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
Opens down
4s (where s = length of a side)
Sqr( x2 -x1) + (y2- y1)

2. a²-b²
Arrangements - orders - schedules - or lists.
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.
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)(a+b)

3. Circumference of a circle using radius
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2pi*r
(a+b)²

4. Sector
S*v2
2(pi)r(r+h)
Bh
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.

5. Define 'proportionate' values
x°/360 times (2 pi r) - where x is the degrees in the angle
(x+y)(x-y)
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

6. How do you calculate the percentage of change?
(a+b)(a-b)
Percentage Change = Difference/Original * 100
The distance across the circle through the center of the circle.The diameter is twice the radius.
A²-b²

7. How do you calculate the probability of two events in a row? (Probability of A and B)
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.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Probability A * Probability B
1/x^a

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

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

9. What is the distance formula?
4s
Sqr( x2 -x1) + (y2- y1)
Total distance/total time
(pi)r^2

10. For a bell curve - what three terms might be used to describe the number in the middle?
T1 * r^(n-1)
The average - mean - median - or mode.
2lw+2lh+2wh
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.

11. How do you find the midpoint?
4/3pir^3
(x1+x2)/2 - (y1+y2)/2
(a-b)(a²+ab+b²)
2pi*r

12. What is the volume of a cylinder?
?r²
4s
Probability A * Probability B
(pi)r^2(h)

13. Area of Triangle
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.
1/2bh
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
1

14. Define a factorial of a number - and how it is written.
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.
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 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 segment connecting the center of a circle to any point on the circle

15. Perimeter of a square
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.
Opens down
(a+b)(a²-ab+b²)
4s (where s = length of a side)

16. Rough est. of v3 =
1.7
Lwh
C =?d
The distance across the circle through the center of the circle.The diameter is twice the radius.

17. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
An ange whose vertex is the center of the circle
4s
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.

18. Surface Area of rectangular prism
2pir^2 + 2pir*h
2lw+2lh+2wh
Part of a circle connecting two points on 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

19. Define the mode of a set of numbers.
(y-y1)=m(x-x1)
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.
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.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

20. What is the volume of a solid rectangle?
1/2bh
4s (where s = length of a side)
2pi*r
Lwh

21. How do you find the sum of an arithmetic sequence?
1/1
Part of a circle connecting two points on the circle.
(n/2) * (t1+tn)
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.

22. How do you find the sum of a geometric sequence?
y2-y1/x2-x1
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
T1 * r^(n-1)/(r-1)
Percentage Change = Difference/Original * 100

23. What is the unfactored version of (x-y)² ?
The average - mean - median - or mode.
x² -2xy + y²
4/3pir^3
T1 * r^(n-1)

24. How do you solve a permutation?
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
1
Ac+ad+bc+bd
A segment connecting the center of a circle to any point on the circle

25. Area of rectangle - square - parallelogram
Groups - teams - or committees.
A=bh
The four big angles are equal and the four small angles are equal
C =?d

26. Area of Circle
Bh
Middle term
Pi*r^2
Between 0 and 1.

27. What'S the most important thing to remember about charts you'll see on the GRE?
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.
?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.
1/2bh

28. What is the prime factorization of 200?
Equal
2Length + 2width [or (length + width) x 2]
2x2x2x5x5
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.

29. In a coordinate system - what is the origin?
Lwh
1/2 h (b1 + b2)
T1 * r^(n-1)/(r-1)
(0 -0)

30. What is the surface area of a cylinder?
2(pi)r(r+h)
(x-y)²
(n-2)180
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.

31. What is the factored version of x² -2xy + y² ?
(x-y)²
y-y1=m(x-x1)
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
Sqr( x2 -x1) + (y2- y1)

32. Perimeter of polygon
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.
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
Sum of the lengths of the sides
2pi*r

33. What is the formula for the diagonal of any square?
1/2bh
S*v2
Bh
Pi*r^2

34. When you reverse FOIL - the term that needs to multiply out is the _____
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.
1/x^a
Ac+ad+bc+bd
Last term

35. How do you find the slope?
(n-2)180
4pir^2
y2-y1/x2-x1
2(pi)r(r+h)

36. Slope
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+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.
2(pi)r
(y2-y1)/(x2-x1)

37. a³+b³
(pi)r^2
1
(a+b)(a²-ab+b²)
2x2x2x5x5

38. When you reverse FOIL - the term that needs to add out is the _____
Middle term
x² -2xy + y²
2(lw+wh+lh)
S^2

39. Quadratic Formula
b±[vb²-4ac]/2a
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.
1. Given event A: A + notA = 1.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

40. What is the sum of the inside angles of an n-sided polygon?
S^2
x²-y²
(n-2)180
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.

41. (a+b)(a-b)=
Number of desired outcomes/number of total outcomes
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
2Length + 2width [or (length + width) x 2]
A²-b²

42. List two odd behaviors of exponents
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 pi r
(x1+x2)/2 - (y1+y2)/2
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

43. What is the unfactored version of (x+y)² ?
x² + 2xy + y²
Negative
(y-y1)=m(x-x1)
1/3Bh

44. Does order matter for a permutation? How about for a combination?
Order does matter for a permutation - but does not matter for a combination.
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'.
2(pi)r(r+h)
Equal

45. What'S a handy rough estimate for a circle'S perimeter - if you know it'S diameter?

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

46. What do combination problems usually ask for?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2(pi)r(r+h)
Groups - teams - or committees.
Order does matter for a permutation - but does not matter for a combination.

47. If something is certain to happen - how is the probability of this event expressed mathematically?
A²-b²
?r²
x°/360 times (2 pi r) - where x is the degrees in the angle
1/1

48. a²-2ab+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.
(a-b)(a+b)
(a-b)²
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.

49. x^-a =
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
1/x^a
1/3Bh
Last term

50. What is the side ratio for a 30:60:90 triangle?
(x-y)²
1
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2pir^2 + 2pir*h