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. a³-b³
(a-b)(a²+ab+b²)
A segment connecting the center of a circle to any point on the circle
S^2
T1 + (n-1)d

2. How do you find the midpoint?
Opens up
1/2 h (b1 + b2)
(x1+x2)/2 - (y1+y2)/2
x°/360 times (?r²) - where x is the degrees in the angle

3. Define the mode of a set of numbers.
The total # of possible outcomes.
1/2bh
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.
Equal

4. Arc
Part of a circle connecting two points on the circle.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
2pi*r
y = kx

5. 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

6. What is the area of a sector?
(n degrees/360) * (pi)r^2
(n-2)180
Probability A + Probability B
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.

7. What is the surface area of a cylinder?
2(pi)r(r+h)
Probability A + Probability B
Sqr( x2 -x1) + (y2- y1)
(pi)r^2

8. The length of one side of any triangle is ____ than the sum of the other two sides.
Sqr( x2 -x1) + (y2- y1)
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.
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.
Less

9. What do combination problems usually ask for?
(pi)r^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.
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.
Groups - teams - or committees.

10. a²-2ab+b²
2(pi)r
(a-b)²
The set of points which are all the same distance (the radius) from a certain point (the center).
Arrangements - orders - schedules - or lists.

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

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

12. Surface Area of Cylinder
½(b1 +b2) x h [or (b1 +b2) x h÷2]
x°/360 times (?r²) - where x is the degrees in the angle
(a-b)²
2pir^2 + 2pir*h

13. How do you multiply powers with the same base?
1/3Bh
T1 + (n-1)d
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
y-y1=m(x-x1)

14. How do you find the slope?
(x+y)²
y2-y1/x2-x1
T1 * r^(n-1)
x² + 2xy + y²

15. Point-Slope form
C =?d
Opens down
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
y-y1=m(x-x1)

16. Volume of Cone
(n degrees/360) * (pi)r^2
y2-y1/x2-x1
A=?r2
1/3pir^2*h

17. How do you calculate the probability of two events in a row? (Probability of A and B)
Pi*r^2
1. Given event A: A + notA = 1.
(pi)r^2
Probability A * Probability B

18. a³+b³
Arrangements - orders - schedules - or lists.
4s
(a+b)(a²-ab+b²)
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

19. In intersecting lines - opposite angles are _____.
A=bh
(x+y)(x-y)
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Equal

20. Circle
1.4
The set of points which are all the same distance (the radius) from a certain point (the center).
?d OR 2?r
1/3pir^2*h

21. What is the unfactored version of (x+y)² ?
Last term
2(lw+wh+lh)
x² + 2xy + y²
Negative

22. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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.
y2-y1/x2-x1
The total # of possible outcomes.
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.

23. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
2(pi)r(r+h)
4s (where s = length of a side)
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.
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

24. (a+b)(c+d)
Ac+ad+bc+bd
Sqr( x2 -x1) + (y2- y1)
T1 * r^(n-1)/(r-1)
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.

25. Area of Triangle
(a+b)(a²-ab+b²)
Lw
1/2bh
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

26. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
Lw
1/3Bh
Probability A + Probability B
2x2x2x5x5

27. Chord
Pi*d
T1 * r^(n-1)/(r-1)
The distance from one point on the circle to another point on the circle.
4s

28. What is the unfactored version of x²-y² ?
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.
(a+b)(a-b)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
(x+y)(x-y)

29. What is the probability?
Number of desired outcomes/number of total outcomes
(a-b)(a+b)
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 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.

30. How do you find the sum of a geometric sequence?
T1 * r^(n-1)/(r-1)
An ange whose vertex is the center of the circle
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
The set of points which are all the same distance (the radius) from a certain point (the center).

31. Perimeter of a rectangle
Equal
2Length + 2width [or (length + width) x 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.
T1 * r^(n-1)

32. What is the unfactored version of (x-y)² ?
?d OR 2?r
Opens down
x² -2xy + y²
Total distance/total time

33. How do you calculate the surface area of a rectangular box?
A segment connecting the center of a circle to any point on the circle
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.
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=bh

34. Area of a trapezoid
2pi*r
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.
Last term
½(b1 +b2) x h [or (b1 +b2) x h÷2]

35. Define the formula for calculating slope.
The total # of possible outcomes.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Order does matter for a permutation - but does not matter for a combination.

36. x^a * x^b = x^__
y = kx
2(pi)r
S² - where s = length of a side
A+b

37. What is the side ratio for a 30:60:90 triangle?
1/2 h (b1 + b2)
N x M
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
4pir^2

38. How do you find the nth term of a geometric sequence?
A+b
1/1
T1 * r^(n-1)
4s

39. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
Probability A + Probability B
N x M
T1 * r^(n-1)/(r-1)
A²-b²

40. Circumference of a circle
?d OR 2?r
2Length + 2width [or (length + width) x 2]
Not necessarily. This is a trick question - because x could be either positive or negative.
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. Area of a sector
S*v2
2x2x2x5x5
x°/360 times (?r²) - where x is the degrees in the angle
y2-y1/x2-x1

42. a²+2ab+b²
(a-b)(a²+ab+b²)
Last term
(a+b)²
Sqr( x2 -x1) + (y2- y1)

43. When a line crosses two parallel lines - ________.
?d OR 2?r
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
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.
The four big angles are equal and the four small angles are equal

44. What do permutation problems often ask for?
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.
Arrangements - orders - schedules - or lists.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
N x M

45. What is the prime factorization of 200?
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.
2x2x2x5x5
The distance across the circle through the center of the circle.The diameter is twice the radius.
1. Given event A: A + notA = 1.

46. (a+b)(a-b)=
A²-b²
4pir^2
Part of a circle connecting two points on the circle.
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.

47. Area of a triangle
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.
1/2 h (b1 + b2)
½(base x height) [or (base x height)÷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.

48. What is the factored version of x² + 2xy + y² ?
(y-y1)=m(x-x1)
Between 0 and 1.
(x+y)²
Opens down

49. Rough est. of v3 =
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
The set of points which are all the same distance (the radius) from a certain point (the center).
Not necessarily. This is a trick question - because x could be either positive or negative.
1.7

50. If something is possible but not certain - what is the numeric range of probability of it happening?
Middle term
Bh
The distance from one point on the circle to another point on the circle.
Between 0 and 1.