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. Rough est. of v3 =
(x-y)²
1/3Bh
1.7
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.


2. Perimeter of rectangle
A=bh
2l+2w
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.
Middle term


3. length of a sector
S² - where s = length of a side
A segment connecting the center of a circle to any point on the circle
S^2
x°/360 times (2 pi r) - where x is the degrees in the angle


4. a² - b² is equal to
Ac+ad+bc+bd
(a+b)(a-b)
(pi)r^2(h)
2(lw+wh+lh)


5. What is the area of a sector?
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
Sqr( x2 -x1) + (y2- y1)
(n degrees/360) * (pi)r^2
A circle'S perimeter is roughly 3x its diameter (the formula is pd).


6. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
1. Given event A: A + notA = 1.
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.
1/2bh
A circle'S perimeter is roughly 3x its diameter (the formula is pd).


7. Volume of prism
Groups - teams - or committees.
4s
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.
Bh


8. Circumference of a circle using radius
(x+y)(x-y)
An ange whose vertex is the center of the circle
2pi*r
Opens down


9. What is the probability?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
The total # of possible outcomes.
Number of desired outcomes/number of total outcomes
The distance across the circle through the center of the circle.The diameter is twice the radius.


10. If x² = 144 - does v144 = x?
2(pi)r(r+h)
T1 + (n-1)d
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.


11. When you reverse FOIL - the term that needs to multiply out is the _____
1.4
Last term
(x-y)²
Arrangements - orders - schedules - or lists.


12. The length of one side of any triangle is ____ than the sum of the other two sides.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
(x1+x2)/2 - (y1+y2)/2
Less
S*v2


13. How do you calculate a diagonal inside a 3-dimensional rectangular box?
Pir^2h
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
1. Given event A: A + notA = 1.
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


14. x^-a =
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.
1/x^a
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.
Pir^2h


15. What is the average?
A=?r2
Sum of terms/number of terms
2x2x2x5x5
b±[vb²-4ac]/2a


16. Area of a square
1/2 h (b1 + b2)
(n-2)180
S² - where s = length of a side
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.


17. The probability of an event happening and the probability of an event NOT happening must add up to what number?
The distance from one point on the circle to another point on the circle.
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.
1. Given event A: A + notA = 1.
A=?r2


18. What is the factored version of x² -2xy + y² ?
Pi*r^2
(x-y)²
1
Middle term


19. Circumference of cirlce using diameter
Pi*d
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.
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/x^a


20. Area of a trapezoid
1/2 h (b1 + b2)
½(b1 +b2) x h [or (b1 +b2) x h÷2]
S*v2
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


21. What is the area of a solid rectangle?
Pi*d
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.
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.


22. (a+b)(c+d)
Probability A * Probability B
(n degrees/360) * (pi)r^2
?d OR 2?r
Ac+ad+bc+bd


23. What is the distance formula?
1.7
Not necessarily. This is a trick question - because x could be either positive or negative.
Sqr( x2 -x1) + (y2- y1)
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.


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

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25. What is the unfactored version of (x+y)² ?
Bh
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.
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
x² + 2xy + y²


26. Define 'proportionate' values
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Part of a circle connecting two points on the circle.
Last term
T1 * r^(n-1)/(r-1)


27. What is a '30:60:90' triangle?
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
S² - where s = length of a side
Not necessarily. This is a trick question - because x could be either positive or negative.
Pir^2h


28. What'S a handy rough estimate for a circle'S perimeter - if you know it'S diameter?

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29. How do you multiply and divide square roots?
T1 + (n-1)d
(a-b)²
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Last term


30. 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
1/2bh
1
(y2-y1)/(x2-x1)


31. Define the range of a set of numbers.
?d OR 2?r
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.
x² + 2xy + y²


32. 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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33. What is the length of an arc?
(n degrees/360) * 2(pi)r
(a+b)²
½(b1 +b2) x h [or (b1 +b2) x h÷2]
2(pi)r(r+h)


34. What is the surface area of a cylinder?
Groups - teams - or committees.
A=?r2
2(pi)r(r+h)
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.


35. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
Opens down
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Probability A + Probability 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


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

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37. Define the formula for calculating slope.
A segment connecting the center of a circle to any point on the circle
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.
(a+b)²
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.


38. Define the 'Third side' rule for triangles

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39. In a parabola - if the first term is negative - the parabola ________.
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.
1
Opens down
4s


40. Area of a triangle
2(pi)r(r+h)
The average - mean - median - or mode.
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.
½(base x height) [or (base x height)÷2]


41. Volume of sphere
Percentage Change = Difference/Original * 100
4/3pir^3
Between 0 and 1.
Probability A * Probability B


42. Circumference Formula
C =?d
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 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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]


43. Area of Rectangle
Groups - teams - or committees.
Ac+ad+bc+bd
(y-y1)=m(x-x1)
Lw


44. Area of Triangle
y-y1=m(x-x1)
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.
1/2bh
Pir^2h


45. Diameter
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 distance across the circle through the center of the circle.The diameter is twice the radius.
T1 + (n-1)d
x°/360 times (?r²) - where x is the degrees in the angle


46. What number goes on the bottom of a probability fraction?
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.
The total # of possible outcomes.
S*v2
y-y1=m(x-x1)


47. Perimeter of a square
Probability A * Probability B
4s (where s = length of a side)
(a+b)(a²-ab+b²)
x°/360 times (?r²) - where x is the degrees in the angle


48. What is the area of a circle?
Pir^2h
1/3Bh
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.
(pi)r^2


49. When a line crosses two parallel lines - ________.
Sum of the lengths of the sides
(n degrees/360) * (pi)r^2
The four big angles are equal and the four small angles are equal
N x M


50. If something is possible but not certain - what is the numeric range of probability of it happening?
1. Given event A: A + notA = 1.
x² + 2xy + y²
?r²
Between 0 and 1.