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. Volume of Cylinder
Not necessarily. This is a trick question - because x could be either positive or negative.
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.
Pir^2h
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

2. Area of Parallelogram
Bh
1.7
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
(x-y)²

3. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
2x2x2x5x5
N x M
1/x^a
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.

4. How do you multiply powers with the same base?
Probability A + Probability B
x² + 2xy + y²
Bh
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

5. Volume of Cone
2Length + 2width [or (length + width) x 2]
4s
x²-y²
1/3pir^2*h

6. Define a factorial of a number - and how it is written.
2 pi r
Sum of the lengths of the sides
Lw
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.

7. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Probability A + Probability B
2x2x2x5x5
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.

8. Sector
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.
(pi)r^2
S² - where s = length of a side
Sum of the lengths of the sides

9. What is inversely proportional?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
y = k/x
2Length + 2width [or (length + width) x 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

10. Define 'proportionate' values
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
A=?r2
4pir^2
2l+2w

11. a³-b³
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Total distance/total time
(a-b)(a²+ab+b²)
x² + 2xy + y²

12. Perimeter (circumference) of a circle
T1 * r^(n-1)/(r-1)
S^2
2 pi r
1/2 h (b1 + b2)

13. How do you find the nth term of a geometric sequence?
4/3pir^3
T1 * r^(n-1)
Pir^2h
1/2bh

14. What is the distance formula?
Sqr( x2 -x1) + (y2- y1)
2Length + 2width [or (length + width) x 2]
(y2-y1)/(x2-x1)
2(pi)r

15. How do you find the nth term of an arithmetic sequence?
Sqr( x2 -x1) + (y2- y1)
(a+b)(a²-ab+b²)
(pi)r^2
T1 + (n-1)d

16. 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

17. Perimeter of polygon
?r²
Sum of the lengths of the sides
2(pi)r
2x2x2x5x5

18. perimeter of square
A=bh
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.
2l+2w
4s

19. What is directly proportional?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
y = kx
(y-y1)=m(x-x1)
Last term

20. Area of Trapezoid
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
1/2 h (b1 + b2)
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.
(pi)r^2

21. Circumference of cirlce using diameter
Sqr( x2 -x1) + (y2- y1)
(a-b)²
1/x^a
Pi*d

22. Circle
2 pi r
Less
The set of points which are all the same distance (the radius) from a certain point (the center).
S² - where s = length of a side

23. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
The average - mean - median - or mode.
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.
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.
Lw

24. Area of a trapezoid
(a+b)(a-b)
x°/360 times (?r²) - where x is the degrees in the angle
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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]

25. 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.
Ac+ad+bc+bd
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.
4s (where s = length of a side)

26. Radius (Radii)
A segment connecting the center of a circle to any point on the circle
(x+y)(x-y)
Pi*r^2
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.

27. Rough est. of v2 =
Sum of the lengths of the sides
2(pi)r
1.4
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. For a bell curve - what three terms might be used to describe the number in the middle?
(a-b)(a+b)
(pi)r^2
(x+y)²
The average - mean - median - or mode.

29. Area of a triangle
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
y = k/x
Total distance/total time
½(base x height) [or (base x height)÷2]

30. length of a sector
4s
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.
x°/360 times (2 pi r) - where x is the degrees in the angle
1. Given event A: A + notA = 1.

31. What is the point-slope form?
2(lw+wh+lh)
b±[vb²-4ac]/2a
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.
(y-y1)=m(x-x1)

32. Perimeter of a rectangle
x²-y²
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.
2Length + 2width [or (length + width) x 2]
x°/360 times (2 pi r) - where x is the degrees in the angle

33. Surface Area of Sphere
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
2l+2w
4pir^2
A²-b²

34. How do you find the midpoint?
(x1+x2)/2 - (y1+y2)/2
(pi)r^2(h)
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.
½(base x height) [or (base x height)÷2]

35. Central Angle
1/x^a
An ange whose vertex is the center of the circle
Negative
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

36. 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

37. What is the average speed?
(a+b)²
Not necessarily. This is a trick question - because x could be either positive or negative.
Total distance/total time
1/2 h (b1 + b2)

38. Define the 'Third side' rule for triangles

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

39. What is the volume of a solid rectangle?
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.
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'.
Lwh
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.

40. What is the unfactored version of (x+y)² ?
Opens down
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.
2pir^2 + 2pir*h
x² + 2xy + y²

41. To divide powers with the same base...
Lwh
Pi*r^2
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
4/3pir^3

42. 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

43. Area of a square
S² - where s = length of a side
(n degrees/360) * (pi)r^2
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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

44. a²-b²
(a-b)(a+b)
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
4s
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

45. Area of a sector
x°/360 times (?r²) - where x is the degrees in the angle
Number of desired outcomes/number of total outcomes
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Arrangements - orders - schedules - or lists.

46. Area of Square
S*v2
S^2
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 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.

47. Slope
(y2-y1)/(x2-x1)
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
4pir^2
An ange whose vertex is the center of the circle

48. Volume of sphere
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.
4/3pir^3
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) * (pi)r^2

49. Surface Area of Cylinder
1/3Bh
2pir^2 + 2pir*h
Pi*d
Bh

50. What is the area of a solid rectangle?
2(lw+wh+lh)
The four big angles are equal and the four small angles are equal
Negative
Sqr( x2 -x1) + (y2- y1)