GRE Math 2

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. What is the prime factorization of 200?
2pir^2 + 2pir*h
2(pi)r
Not necessarily. This is a trick question - because x could be either positive or negative.
2x2x2x5x5


2. What are the side ratios for a 30:60:90 triangle?
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
x°/360 times (?r²) - where x is the degrees in the angle
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
An ange whose vertex is the center of the circle


3. Lines reflected over the x or y axis have ____ slopes.
1/x^a
The distance across the circle through the center of the circle.The diameter is twice the radius.
(x+y)²
Negative


4. Perimeter (circumference) of a circle
Lwh
?d OR 2?r
2 pi r
Opens up


5. Define 'proportionate' values
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.
1/3pir^2*h
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.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.


6. Area of Square
1.4
The distance across the circle through the center of the circle.The diameter is twice the radius.
S^2
y = k/x


7. Area of Circle
Sum of the lengths of the sides
Pi*r^2
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.
1/2bh


8. 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


9. How do you multiply powers with the same base?
A+b
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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
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.


10. a³+b³
(y-y1)=m(x-x1)
(a-b)²
(a+b)(a²-ab+b²)
1/x^a


11. In a parabola - if the first term is positive - the parabola ________.
The set of points which are all the same distance (the radius) from a certain point (the center).
x°/360 times (?r²) - where x is the degrees in the angle
The average - mean - median - or mode.
Opens up


12. What is the area of a solid rectangle?
?r²
2(lw+wh+lh)
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.
1/2 h (b1 + b2)


13. Explain the difference between a digit and a number.

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


14. Circumference of a circle using radius
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.
2pir^2 + 2pir*h
Pi*d
2pi*r


15. Area of a square
Middle term
The distance across the circle through the center of the circle.The diameter is twice the radius.
S² - where s = length of a side
(0 -0)


16. length of a sector
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'.
(n degrees/360) * 2(pi)r
x°/360 times (2 pi r) - where x is the degrees in the angle
2(lw+wh+lh)


17. What must be true before a quadratic equation can be solved?

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


18. How do you calculate the percentage of change?
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'.
Percentage Change = Difference/Original * 100
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
A=bh


19. a²-2ab+b²
(a-b)²
The distance from one point on the circle to another point on the circle.
?d OR 2?r
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2


20. What is the 'Third side' rule for triangles?
(pi)r^2(h)
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.
Less
S^2


21. Quadratic Formula
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.
b±[vb²-4ac]/2a
2lw+2lh+2wh
S^2


22. 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


23. The length of one side of any triangle is ____ than the sum of the other two sides.
Less
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.
Opens up
A=?r2


24. What is the area of a sector?
2l+2w
b±[vb²-4ac]/2a
(n degrees/360) * (pi)r^2
2(pi)r


25. What is the factored version of x² + 2xy + y² ?
(x+y)²
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(n degrees/360) * (pi)r^2
N x M


26. What is the volume of a solid rectangle?
(n/2) * (t1+tn)
Lwh
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.


27. What do permutation problems often ask for?
1/2 h (b1 + b2)
(a+b)(a-b)
Arrangements - orders - schedules - or lists.
(n degrees/360) * 2(pi)r


28. 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


29. How do you calculate the surface area of a rectangular box?
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.
Probability A * Probability 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.
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


30. What is the side ratio for a 30:60:90 triangle?
1/x^a
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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.


31. Define the mode of a set of numbers.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Not necessarily. This is a trick question - because x could be either positive or negative.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.


32. Point-Slope form
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Not necessarily. This is a trick question - because x could be either positive or negative.
A=bh
y-y1=m(x-x1)


33. Explain the special properties of zero.
2(pi)r
1/x^a
N x M
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.


34. In a coordinate system - what is the origin?
2(lw+wh+lh)
1/2bh
(0 -0)
(a+b)²


35. Area of Trapezoid
A²-b²
1/2 h (b1 + b2)
(n-2)180
?r²


36. Perimeter of polygon
Sum of the lengths of the sides
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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'.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2


37. Circumference of a circle
?d OR 2?r
(a+b)(a-b)
Bh
(n-2)180


38. Surface Area of rectangular prism
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.
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.
(n degrees/360) * (pi)r^2
2lw+2lh+2wh


39. How do you calculate the probability of two events in a row? (Probability of A and B)
The distance from one point on the circle to another point on the circle.
Pi*d
½(base x height) [or (base x height)÷2]
Probability A * Probability B


40. What is the length of an arc?
(n degrees/360) * 2(pi)r
(a+b)(a²-ab+b²)
Opens up
S*v2


41. How do you calculate a diagonal inside a 3-dimensional rectangular box?
The distance from one point on the circle to another point on the circle.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Lwh
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.


42. How do you find the midpoint?
Negative
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
(x1+x2)/2 - (y1+y2)/2


43. (a+b)(c+d)
(a-b)(a²+ab+b²)
(y-y1)=m(x-x1)
Ac+ad+bc+bd
y2-y1/x2-x1


44. What is the factored version of (x+y)(x-y) ?
x²-y²
(n degrees/360) * 2(pi)r
(y-y1)=m(x-x1)
(pi)r^2


45. Sector
x°/360 times (?r²) - where x is the degrees in the angle
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.
2(pi)r
(a-b)(a²+ab+b²)


46. Perimeter of a rectangle
2l+2w
2Length + 2width [or (length + width) x 2]
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 total # of possible outcomes.


47. How do you multiply and divide square roots?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
T1 + (n-1)d
1.7
y = k/x


48. When you reverse FOIL - the term that needs to multiply out is the _____
1
Last term
(x1+x2)/2 - (y1+y2)/2
y-y1=m(x-x1)


49. How do you find the slope?
y2-y1/x2-x1
Order does matter for a permutation - but does not matter for a combination.
(a-b)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


50. What is the distance formula?
Between 0 and 1.
Less
2pi*r
Sqr( x2 -x1) + (y2- y1)