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. a²-2ab+b²
(a-b)²
1/3Bh
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


2. What is the volume of a solid rectangle?
2l+2w
Percentage Change = Difference/Original * 100
y = kx
Lwh


3. What do permutation problems often ask for?
S² - where s = length of a side
Arrangements - orders - schedules - or lists.
T1 + (n-1)d
x°/360 times (?r²) - where x is the degrees in the angle


4. Perimeter of polygon
S² - where s = length of a side
(y-y1)=m(x-x1)
Sum of the lengths of the sides
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.


5. Area of a trapezoid
½(b1 +b2) x h [or (b1 +b2) x h÷2]
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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.
1.7


6. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
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
Probability A * Probability B
(x+y)(x-y)
A segment connecting the center of a circle to any point on the circle


7. Volume of prism
S*v2
2lw+2lh+2wh
Bh
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.


8. Circumference of a circle using radius
Not necessarily. This is a trick question - because x could be either positive or negative.
2pi*r
Percentage Change = Difference/Original * 100
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.


9. length of a sector
(x+y)(x-y)
S² - where s = length of a side
4pir^2
x°/360 times (2 pi r) - where x is the degrees in the angle


10. When a line crosses two parallel lines - ________.
1/2bh
1/3pir^2*h
An ange whose vertex is the center of the circle
The four big angles are equal and the four small angles are equal


11. Volume of Cylinder
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
The distance across the circle through the center of the circle.The diameter is twice the radius.
1
Pir^2h


12. Volume of sphere
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.
S² - where s = length of a side
The distance from one point on the circle to another point on the circle.
4/3pir^3


13. Explain a method for quickly comparing fractions with different denominators - to determine which is larger.

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14. Does order matter for a permutation? How about for a combination?
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.
Order does matter for a permutation - but does not matter for a combination.
2lw+2lh+2wh
2l+2w


15. What is the factored version of x² -2xy + y² ?
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.
The distance across the circle through the center of the circle.The diameter is twice the radius.
(x-y)²
Not necessarily. This is a trick question - because x could be either positive or negative.


16. a²+2ab+b²
Probability A + Probability B
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.
(a+b)²
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.


17. What is a 'Right isosceles' triangle?
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.
Opens down
The distance from one point on the circle to another point on the circle.
(pi)r^2


18. What is the surface area of a cylinder?
?d OR 2?r
Bh
1/x^a
2(pi)r(r+h)


19. perimeter of square
1/2bh
4s
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
2pi*r


20. What is the area of a solid rectangle?
(a-b)(a+b)
C =?d
2(lw+wh+lh)
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.


21. In a parabola - if the first term is positive - the parabola ________.
2pir^2 + 2pir*h
Sqr( x2 -x1) + (y2- y1)
Opens up
4/3pir^3


22. Diameter
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
The distance across the circle through the center of the circle.The diameter is twice the radius.
(0 -0)
The average - mean - median - or mode.


23. Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
The average - mean - median - or mode.
A=?r2
4pir^2


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


25. What is the probability?
Number of desired outcomes/number of total outcomes
1/2bh
x² -2xy + y²
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5


26. Slope
(y2-y1)/(x2-x1)
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.
1/2bh
x°/360 times (2 pi r) - where x is the degrees in the angle


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

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28. What are the side ratios for a 30:60:90 triangle?
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.
The distance across the circle through the center of the circle.The diameter is twice the radius.
Part of a circle connecting two points on the circle.


29. (a+b)(a-b)=
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.
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.
(n degrees/360) * 2(pi)r
A²-b²


30. Area of Circles
Sum of the lengths of the sides
Not necessarily. This is a trick question - because x could be either positive or negative.
A=?r2
1/1


31. Area of Circle
Pi*r^2
Lw
(a-b)²
2 pi r


32. Volume of pyramid
1/3Bh
Sum of terms/number of terms
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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


33. Surface Area of rectangular prism
Part of a circle connecting two points on the circle.
(a-b)²
2lw+2lh+2wh
Pi*d


34. What is 'absolute value' - and how is it represented?

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35. What is the equation of a line?

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36. 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.
1. Given event A: A + notA = 1.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
x² -2xy + y²


37. How do you multiply powers with the same base?
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.
(x-y)²


38. What is the factored version of (x+y)(x-y) ?
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.
x²-y²
x°/360 times (?r²) - where x is the degrees in the angle
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.


39. a² - b² is equal to
(a+b)(a-b)
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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Sum of the lengths of the sides


40. Area of a square
S² - where s = length of a side
(x-y)²
?d OR 2?r
Ac+ad+bc+bd


41. Surface Area of Sphere
A segment connecting the center of a circle to any point on the circle
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.
4pir^2


42. What is the prime factorization of 200?
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.
2x2x2x5x5
1/2bh
Last term


43. If something is possible but not certain - what is the numeric range of probability of it happening?
Between 0 and 1.
(0 -0)
Pir^2h
(n-2)180


44. Define the 'Third side' rule for triangles

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45. What is inversely proportional?
(0 -0)
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
y = k/x
2(pi)r


46. How do you multiply and divide square roots?
(pi)r^2(h)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2


47. Area of a circle
y = k/x
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.
?r²
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.


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

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49. Rough est. of v2 =
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'.
Bh
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
1.4


50. Circumference Formula
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.
C =?d
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.
4s