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. x^-a =
Middle term
Probability A * Probability B
1/x^a
1.7


2. What is the equation of a line?

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3. What is the average?
Sum of terms/number of terms
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.
Last term
The four big angles are equal and the four small angles are equal


4. Area of a triangle
½(base x height) [or (base x height)÷2]
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.
The set of points which are all the same distance (the radius) from a certain point (the center).
An ange whose vertex is the center of the circle


5. What is the 'distributive law'?
Part of a circle connecting two points on the circle.
y = kx
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 down


6. Does order matter for a permutation? How about for a combination?
(n/2) * (t1+tn)
Order does matter for a permutation - but does not matter for a combination.
Lw
2(lw+wh+lh)


7. What is the average speed?
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.
(y-y1)=m(x-x1)
Total distance/total time
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.


8. (a+b)(c+d)
Ac+ad+bc+bd
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 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.
4pir^2


9. What number goes on the bottom of a probability fraction?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
x°/360 times (2 pi r) - where x is the degrees in the angle
The total # of possible outcomes.
x² + 2xy + y²


10. Circle
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
The set of points which are all the same distance (the radius) from a certain point (the center).
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.


11. Perimeter of a rectangle
Opens down
4s
2Length + 2width [or (length + width) x 2]
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.


12. Sector
The distance from one point on the circle to another point on the circle.
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
4/3pir^3


13. Chord
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.
The distance from one point on the circle to another point on the circle.
Between 0 and 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.


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

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15. Slope
(n/2) * (t1+tn)
½(base x height) [or (base x height)÷2]
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
(y2-y1)/(x2-x1)


16. What is directly proportional?
2(pi)r
T1 + (n-1)d
y = kx
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.


17. What is the volume of a solid rectangle?
The average - mean - median - or mode.
(x+y)²
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Lwh


18. Diameter
b±[vb²-4ac]/2a
The distance across the circle through the center of the circle.The diameter is twice the radius.
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.
Order does matter for a permutation - but does not matter for a combination.


19. Define the 'Third side' rule for triangles

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20. Surface Area of rectangular prism
2lw+2lh+2wh
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.
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.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5


21. Area of rectangle - square - parallelogram
(y-y1)=m(x-x1)
Sum of the lengths of the sides
A=bh
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.


22. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
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.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
The total # of possible outcomes.
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.


23. What is the unfactored version of (x-y)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.
Not necessarily. This is a trick question - because x could be either positive or negative.
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.
x² -2xy + y²


24. In a coordinate system - what is the origin?
(n-2)180
(0 -0)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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.


25. What is inversely proportional?
y = k/x
Probability A * Probability B
Part of a circle connecting two points on the circle.
Sum of the lengths of the sides


26. In intersecting lines - opposite angles are _____.
?r²
Not necessarily. This is a trick question - because x could be either positive or negative.
Equal
Middle term


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

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28. Arc
(x+y)(x-y)
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.
Part of a circle connecting two points on the circle.
(n/2) * (t1+tn)


29. a²-b²
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
(a-b)(a+b)
Equal
1.4


30. If something is possible but not certain - what is the numeric range of probability of it happening?
Negative
Between 0 and 1.
2 pi r
(y2-y1)/(x2-x1)


31. What is the 'Third side' rule for triangles?
The distance from one point on the circle to another point on the circle.
y = k/x
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


32. What is the unfactored version of x²-y² ?
x°/360 times (?r²) - where x is the degrees in the angle
(x+y)(x-y)
2(pi)r(r+h)
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.


33. How do you find the nth term of an arithmetic sequence?
1/1
T1 + (n-1)d
S² - where s = length of a side
2pi*r


34. 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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35. x^a * x^b = x^__
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
A+b
(n degrees/360) * 2(pi)r
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.


36. Area of a trapezoid
½(b1 +b2) x h [or (b1 +b2) x h÷2]
S*v2
b±[vb²-4ac]/2a
2(pi)r(r+h)


37. Define the range of a set of numbers.
A segment connecting the center of a circle to any point on the circle
(n-2)180
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.
(a+b)(a²-ab+b²)


38. What is the area of a triangle?
4/3pir^3
x°/360 times (2 pi r) - where x is the degrees in the angle
1/2bh
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.


39. Rough est. of v1 =
1
Order does matter for a permutation - but does not matter for a combination.
A segment connecting the center of a circle to any point on the circle
?d OR 2?r


40. Rough est. of v2 =
x²-y²
1.4
?r²
Probability A * Probability B


41. What are the side ratios for a 30:60:90 triangle?
1/2bh
T1 + (n-1)d
(x-y)²
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.


42. What is the side ratio 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.
x²-y²
Bh
Percentage Change = Difference/Original * 100


43. Area of Parallelogram
Groups - teams - or committees.
Bh
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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.


44. Circumference of a circle using radius
N x M
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.
2pi*r
Pi*r^2


45. What is the factored version of x² + 2xy + y² ?
Opens down
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
x² -2xy + y²


46. How do you find the sum of a geometric sequence?
T1 * r^(n-1)/(r-1)
(x+y)²
Arrangements - orders - schedules - or lists.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.


47. a² - b² is equal to
2x2x2x5x5
(a+b)(a-b)
1/x^a
Sqr( x2 -x1) + (y2- y1)


48. Area of Circle
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
1.7
Order does matter for a permutation - but does not matter for a combination.
Pi*r^2


49. Area of a square
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Pi*d
S² - where s = length of a side
Lwh


50. In a coordinate system - identify the quadrants and describe their location.
4pir^2
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
½(b1 +b2) x h [or (b1 +b2) x h÷2]