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 area of a solid rectangle?
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
Between 0 and 1.
2(lw+wh+lh)
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.


2. Perimeter of a square
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.
4s (where s = length of a side)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
(a-b)²


3. Perimeter of a rectangle
y = kx
S*v2
Equal
2Length + 2width [or (length + width) x 2]


4. Perimeter (circumference) of a circle
S^2
2 pi r
Lwh
C =?d


5. What do combination problems usually ask for?
A=bh
Groups - teams - or committees.
The distance from one point on the circle to another point on the circle.
(x+y)²


6. What is the area of a triangle?
Sqr( x2 -x1) + (y2- y1)
2 pi r
1/2bh
1.4


7. Volume of Cone
½(b1 +b2) x h [or (b1 +b2) x h÷2]
T1 + (n-1)d
1/3pir^2*h
Number of desired outcomes/number of total outcomes


8. What is the sum of the inside angles of an n-sided polygon?
(n-2)180
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
(x-y)²
A=bh


9. What is the 'Third side' rule for triangles?
Percentage Change = Difference/Original * 100
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/x^a
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


10. Slope
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.
(y2-y1)/(x2-x1)
Pi*d
Order does matter for a permutation - but does not matter for a combination.


11. The length of one side of any triangle is ____ than the sum of the other two sides.
C =?d
Less
Pi*d
x²-y²


12. Define the range of a set of numbers.
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.
Part of a circle connecting two points on the circle.
(n/2) * (t1+tn)
Groups - teams - or committees.


13. How do you calculate the surface area of a rectangular box?
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'.
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.
4/3pir^3


14. What is the length of an arc?
(n degrees/360) * 2(pi)r
Sum of the lengths of the sides
Last term
?d OR 2?r


15. x^a * x^b = x^__
1/3Bh
A+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.
2 pi r


16. How do you find the sum of an arithmetic sequence?
A=?r2
(n/2) * (t1+tn)
4s (where s = length of a side)
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.


17. Define the mode of a set of numbers.
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
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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.


18. How do you calculate a diagonal inside a 3-dimensional rectangular box?
Pi*d
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
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.


19. Volume of pyramid
(0 -0)
1/3Bh
y = kx
1. Given event A: A + notA = 1.


20. Lines reflected over the x or y axis have ____ slopes.
(a-b)²
?r²
Negative
(x1+x2)/2 - (y1+y2)/2


21. How do you find the nth term of a geometric sequence?
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
2(lw+wh+lh)
T1 * r^(n-1)
4s


22. 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


23. 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


24. Area of rectangle - square - parallelogram
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
A=bh
Bh
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.


25. What is the side ratio for a 30:60:90 triangle?
1/3pir^2*h
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
The set of points which are all the same distance (the radius) from a certain point (the center).
A=bh


26. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
y = kx
1/2bh
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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.


27. 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


28. Volume of Cylinder
2(pi)r(r+h)
y2-y1/x2-x1
C =?d
Pir^2h


29. What is the volume of a cylinder?
1/2bh
Total distance/total time
1
(pi)r^2(h)


30. What is the circumference of a 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.
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
2(pi)r
Number of desired outcomes/number of total outcomes


31. (a+b)(c+d)
1/2bh
Ac+ad+bc+bd
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(n-2)180


32. If something is possible but not certain - what is the numeric range of probability of it happening?
x²-y²
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'.
Between 0 and 1.
Last term


33. Area of a square
S² - where s = length of a side
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.
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


34. What is an 'equilateral' triangle?
(n degrees/360) * (pi)r^2
A median is the middle value of a set of numbers. For an odd number of values - it'S simply the middle number. For an even number of values - take the average of the center two values.
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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.


35. What is the factored version of x² + 2xy + y² ?
1.4
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.
(x+y)²
Opens up


36. What is a 'Right isosceles' triangle?
1. Given event A: A + notA = 1.
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.
4s
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.


37. Surface Area of rectangular prism
A²-b²
S*v2
Arrangements - orders - schedules - or lists.
2lw+2lh+2wh


38. 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


39. Point-Slope form
2l+2w
y-y1=m(x-x1)
4s (where s = length of a side)
2pi*r


40. How do you find the slope?
The distance across the circle through the center of the circle.The diameter is twice the radius.
½(base x height) [or (base x height)÷2]
y2-y1/x2-x1
2(pi)r(r+h)


41. 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


42. What is the area of a circle?
Number of desired outcomes/number of total outcomes
The set of points which are all the same distance (the radius) from a certain point (the center).
1/3pir^2*h
(pi)r^2


43. What is the distance formula?
2l+2w
1/2bh
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.
Sqr( x2 -x1) + (y2- y1)


44. Area of a sector
2l+2w
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Pi*d
x°/360 times (?r²) - where x is the degrees in the angle


45. a³-b³
(a-b)(a²+ab+b²)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
?r²
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2


46. Area of Parallelogram
A=?r2
y2-y1/x2-x1
Bh
Middle term


47. Rough est. of v1 =
1
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.
Sum of the lengths of the sides
x²-y²


48. 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


49. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
x²-y²
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
1/2 h (b1 + b2)
(a+b)(a²-ab+b²)


50. What is the prime factorization of 200?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
The distance across the circle through the center of the circle.The diameter is twice the radius.
2x2x2x5x5