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. x^-a =
(a+b)(a-b)
1/x^a
A=bh
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.

2. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
x²-y²
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
(a-b)(a²+ab+b²)

3. Explain the special properties of zero.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Part of a circle connecting two points on the circle.
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.
(n-2)180

4. 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

5. How do you solve a permutation?
(n degrees/360) * 2(pi)r
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
Pi*r^2
Sqr( x2 -x1) + (y2- y1)

6. length of a sector
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.
2(pi)r
x°/360 times (2 pi r) - where x is the degrees in the angle
Opens up

7. Volume of prism
Probability A * Probability B
Bh
2lw+2lh+2wh
Last term

8. In a coordinate system - what is the origin?
(0 -0)
(y2-y1)/(x2-x1)
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.
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

9. Slope
Total distance/total time
(y2-y1)/(x2-x1)
2pir^2 + 2pir*h
(n/2) * (t1+tn)

10. To divide powers with the same base...
1/2bh
y2-y1/x2-x1
(n degrees/360) * (pi)r^2
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

11. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
b±[vb²-4ac]/2a
Probability A + Probability B
2pir^2 + 2pir*h
(a+b)(a-b)

12. How do you calculate the percentage of change?
1
Percentage Change = Difference/Original * 100
A=bh
Part of a circle connecting two points on the circle.

13. Surface Area of Sphere
A=bh
x² + 2xy + y²
4pir^2
A+b

14. Define a factorial of a number - and how it is written.
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 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.
Last term
Between 0 and 1.

15. What is the area of a cylinder?
2(pi)r(r+h)
(pi)r^2(h)
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
A=bh

16. For a bell curve - what three terms might be used to describe the number in the middle?
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.
The average - mean - median - or mode.
Lwh
(x1+x2)/2 - (y1+y2)/2

17. Area of Rectangle
4pir^2
Lw
A+b
4/3pir^3

18. How do you find the slope?
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
(n degrees/360) * 2(pi)r
y2-y1/x2-x1

19. Define the range of a set of numbers.
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.
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)(a+b)
(n-2)180

20. a²+2ab+b²
(a+b)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.
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'.
1/2bh

21. What is the factored version of x² + 2xy + y² ?
1/3Bh
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Last term
(x+y)²

22. Circumference of a circle
Lwh
?d OR 2?r
1/x^a
Sum of the lengths of the sides

23. Perimeter of rectangle
2(pi)r
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.
2l+2w
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.

24. What is the factored version of (x+y)(x-y) ?
T1 + (n-1)d
2x2x2x5x5
The average - mean - median - or mode.
x²-y²

25. Sector
Percentage Change = Difference/Original * 100
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.
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.
(a-b)(a+b)

26. (a+b)(a-b)=
x°/360 times (?r²) - where x is the degrees in the angle
A+b
A²-b²
Less

27. What is the equation of a line?

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

28. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
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.
(y2-y1)/(x2-x1)
Lw
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

29. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Part of a circle connecting two points on the circle.
1/3pir^2*h
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.

30. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
2(pi)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.
2lw+2lh+2wh
Sum of the lengths of the sides

31. What is a 'Right isosceles' triangle?
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.
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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

32. What is the area of a solid rectangle?
2(lw+wh+lh)
(a-b)²
T1 * r^(n-1)
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

33. Arc
?r²
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
Part of a circle connecting two points on the circle.
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.

34. Rough est. of v1 =
The total # of possible outcomes.
2pi*r
(x+y)(x-y)
1

35. What do permutation problems often ask for?
y2-y1/x2-x1
Equal
(pi)r^2
Arrangements - orders - schedules - or lists.

36. a²-b²
(a-b)(a+b)
Number of desired outcomes/number of total outcomes
(x-y)²
Arrangements - orders - schedules - or lists.

37. What is the factored version of x² -2xy + y² ?
Opens down
Opens up
S² - where s = length of a side
(x-y)²

38. Rough est. of v2 =
1.4
Part of a circle connecting two points on the circle.
(x1+x2)/2 - (y1+y2)/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.

39. What is the unfactored version of x²-y² ?
The set of points which are all the same distance (the radius) from a certain point (the center).
(x+y)(x-y)
2(pi)r
The average - mean - median - or mode.

40. Area of a square
2pi*r
A+b
S² - where s = length of a side
Probability A * Probability B

41. Area of Parallelogram
Bh
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.
y-y1=m(x-x1)
Order does matter for a permutation - but does not matter for a combination.

42. Lines reflected over the x or y axis have ____ slopes.
Negative
2pi*r
A=?r2
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. The probability of an event happening and the probability of an event NOT happening must add up to what number?
2(pi)r(r+h)
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'.
½(base x height) [or (base x height)÷2]
1. Given event A: A + notA = 1.

44. How do you find the sum of a geometric sequence?
T1 * r^(n-1)/(r-1)
x°/360 times (2 pi r) - where x is the degrees in the angle
A=bh
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.

45. How do you find the midpoint?
(x1+x2)/2 - (y1+y2)/2
x°/360 times (2 pi r) - where x is the degrees in the angle
C =?d
Order does matter for a permutation - but does not matter for a combination.

46. Area of a triangle
½(base x height) [or (base x height)÷2]
y = kx
(a-b)²
1/2bh

47. What is the area of a triangle?
Negative
1/2bh
Bh
An ange whose vertex is the center of the circle

48. Perimeter of polygon
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.
Sum of the lengths of the sides
The four big angles are equal and the four small angles are equal
1/1

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

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

50. What is the prime factorization of 200?
x² + 2xy + y²
y-y1=m(x-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.
2x2x2x5x5