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.
b±[vb²-4ac]/2a
Not necessarily. This is a trick question - because x could be either positive or negative.
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
(a-b)²

2. What is the point-slope form?
(y-y1)=m(x-x1)
Less
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.
2x2x2x5x5

3. Area of Circles
2(lw+wh+lh)
A=?r2
y2-y1/x2-x1
4pir^2

4. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
1/3Bh
N x M
x°/360 times (2 pi r) - where x is the degrees in the angle
The average - mean - median - or mode.

5. How do you find the sum of a geometric sequence?
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.
Number of desired outcomes/number of total outcomes
½(b1 +b2) x h [or (b1 +b2) x h÷2]
T1 * r^(n-1)/(r-1)

6. Rough est. of v2 =
1.4
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.
T1 + (n-1)d
(n-2)180

7. Perimeter of rectangle
2l+2w
(x1+x2)/2 - (y1+y2)/2
(a+b)²
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

8. Circumference of a circle
Equal
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 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.
?d OR 2?r

9. Perimeter of a rectangle
Arrangements - orders - schedules - or lists.
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
S^2
2Length + 2width [or (length + width) x 2]

10. What is directly proportional?
1/2bh
T1 * r^(n-1)
y = kx
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

11. What is the average speed?
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.
Groups - teams - or committees.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Total distance/total time

12. Rough est. of v3 =
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 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.
4s
1.7

13. How do you find the sum of an arithmetic sequence?
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
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.
(n/2) * (t1+tn)

14. Perimeter (circumference) of a circle
N x M
2 pi r
The distance from one point on the circle to another point on the circle.
The distance across the circle through the center of the circle.The diameter is twice the radius.

15. a²-b²
(pi)r^2(h)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
(a-b)(a²+ab+b²)
(a-b)(a+b)

16. What is the 'Third side' rule for triangles?
The distance from one point on the circle to another point on the circle.
Middle term
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.
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.

17. Volume of Cylinder
(n-2)180
The average - mean - median - or mode.
Last term
Pir^2h

18. In a parabola - if the first term is positive - the parabola ________.
Not necessarily. This is a trick question - because x could be either positive or negative.
Opens up
Probability A * Probability B
2Length + 2width [or (length + width) x 2]

19. What is the factored version of (x+y)(x-y) ?
(y2-y1)/(x2-x1)
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
Total distance/total time
x²-y²

20. What is the area of a triangle?
x² -2xy + y²
x²-y²
½(base x height) [or (base x height)÷2]
1/2bh

21. In a coordinate system - identify the quadrants and describe their location.
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'.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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(h)

22. How do you calculate the percentage of change?
Equal
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'.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Percentage Change = Difference/Original * 100

23. The probability of an event happening and the probability of an event NOT happening must add up to what number?
(pi)r^2(h)
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+b
1. Given event A: A + notA = 1.

24. a²-2ab+b²
Part of a circle connecting two points on the circle.
A segment connecting the center of a circle to any point on the circle
(a-b)²
(y-y1)=m(x-x1)

25. If x² = 144 - does v144 = x?
Pi*r^2
Opens down
(n degrees/360) * 2(pi)r
Not necessarily. This is a trick question - because x could be either positive or negative.

26. What is the factored version of x² + 2xy + y² ?
(x+y)²
Negative
(x1+x2)/2 - (y1+y2)/2
Probability A + Probability B

27. To divide powers with the same base...
x² -2xy + 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.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
N x M

28. What is the probability?
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.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Groups - teams - or committees.
Number of desired outcomes/number of total outcomes

29. Point-Slope form
y-y1=m(x-x1)
Opens up
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.
Not necessarily. This is a trick question - because x could be either positive or negative.

30. Perimeter of polygon
A²-b²
Sqr( x2 -x1) + (y2- y1)
Sum of the lengths of the sides
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

31. Area of a circle
1.4
(x+y)(x-y)
?r²
Probability A * Probability B

32. What is the volume of a cylinder?
Pir^2h
x² + 2xy + y²
(pi)r^2(h)
2x2x2x5x5

33. 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

34. Define the range of a set of numbers.
Opens up
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.
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.
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.

35. length of a sector
x°/360 times (2 pi r) - where x is the degrees in the angle
Probability A + Probability B
(x-y)²
(y2-y1)/(x2-x1)

36. What is the prime factorization of 200?
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
2x2x2x5x5
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.
The distance across the circle through the center of the circle.The diameter is twice the radius.

37. x^-a =
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
The set of points which are all the same distance (the radius) from a certain point (the center).
1/x^a
A+b

38. Diameter
1/1
The distance across the circle through the center of the circle.The diameter is twice the radius.
1
T1 * r^(n-1)/(r-1)

39. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
2x2x2x5x5
1/2 h (b1 + b2)
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.
Not necessarily. This is a trick question - because x could be either positive or negative.

40. What is the unfactored version of x²-y² ?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
An ange whose vertex is the center of the circle
Sum of the lengths of the sides
(x+y)(x-y)

41. Area of Triangle
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
(y-y1)=m(x-x1)
Arrangements - orders - schedules - or lists.
1/2bh

42. How do you multiply powers with the same base?
(x+y)²
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
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(0 -0)

43. Volume of prism
Opens up
2l+2w
Bh
1/x^a

44. (a+b)(a-b)=
4pir^2
The set of points which are all the same distance (the radius) from a certain point (the center).
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
A²-b²

45. List two odd behaviors of exponents
A+b
1/3pir^2*h
1/3Bh
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.

46. 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

47. What is a '30:60:90' triangle?
(x+y)²
y2-y1/x2-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
2lw+2lh+2wh

48. For a bell curve - what three terms might be used to describe the number in the middle?
The average - mean - median - or mode.
Order does matter for a permutation - but does not matter for a combination.
?d OR 2?r
2(pi)r

49. Area of Square
The average - mean - median - or mode.
y-y1=m(x-x1)
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
S^2

50. When a line crosses two parallel lines - ________.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
The four big angles are equal and the four small angles are equal
2l+2w
A segment connecting the center of a circle to any point on the circle