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GRE Math 2

Subjects : gre, math

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 circle?
(a+b)²
T1 * r^(n-1)
Pi*d
(pi)r^2

2. 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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3. Area of rectangle - square - parallelogram
A=bh
4pir^2
The set of points which are all the same distance (the radius) from a certain point (the center).
Last term

4. To divide powers with the same base...
½(base x height) [or (base x height)÷2]
(y2-y1)/(x2-x1)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
1/1

5. What is the formula for the diagonal of any square?
(pi)r^2
(a-b)²
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.
S*v2

6. What'S the most important thing to remember about charts you'll see on the GRE?
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.
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.
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.
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.

7. What number goes on the bottom of a probability fraction?
1.4
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.
The total # of possible outcomes.
(x+y)(x-y)

8. Area of Rectangle
Lw
Opens down
2(pi)r(r+h)
2Length + 2width [or (length + width) x 2]

9. Area of a sector
1.4
The total # of possible outcomes.
T1 * r^(n-1)/(r-1)
x°/360 times (?r²) - where x is the degrees in the angle

10. Surface Area of rectangular prism
2lw+2lh+2wh
Last term
x°/360 times (?r²) - where x is the degrees in the angle
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.

11. Area of a circle
?r²
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.
Bh
Lwh

12. In intersecting lines - opposite angles are _____.
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.
Percentage Change = Difference/Original * 100
Equal
Sqr( x2 -x1) + (y2- y1)

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

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14. What is the sum of the inside angles of an n-sided polygon?
1. Given event A: A + notA = 1.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
x² -2xy + y²
(n-2)180

15. What is the 'distributive law'?
?r²
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.
2x2x2x5x5
(x1+x2)/2 - (y1+y2)/2

16. Sector
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.
N x M
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.
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.

17. When a line crosses two parallel lines - ________.
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.
The four big angles are equal and the four small angles are equal
y = k/x
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

18. 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
T1 * r^(n-1)/(r-1)
Sum of the lengths of the sides
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.

19. What is the average?
Sum of terms/number of terms
(x+y)(x-y)
Opens down
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

20. Area of Trapezoid
(a-b)(a²+ab+b²)
1/2 h (b1 + b2)
(a+b)(a²-ab+b²)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

21. If something is possible but not certain - what is the numeric range of probability of it happening?
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.
Between 0 and 1.
Less

22. Area of Circle
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.
Pi*r^2
4pir^2

23. Perimeter of a square
4s (where s = length of a side)
1/2 h (b1 + b2)
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. 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

24. 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.
Negative
Less
An ange whose vertex is the center of the circle

25. Rough est. of v3 =
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.
Sqr( x2 -x1) + (y2- y1)
1.7
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.

26. Area of a triangle
Part of a circle connecting two points on the circle.
Negative
½(base x height) [or (base x height)÷2]
x°/360 times (2 pi r) - where x is the degrees in the angle

27. How do you solve a permutation?
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
2(lw+wh+lh)
Less
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

28. a²-b²
1. Given event A: A + notA = 1.
(a-b)(a+b)
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
y2-y1/x2-x1

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

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30. Circumference of a circle using radius
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.
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.
2 pi r
2pi*r

31. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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.
2(pi)r
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.
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

32. What is the side ratio for a 30:60:90 triangle?
Probability A * Probability B
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
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(a+b)²

33. For a bell curve - what three terms might be used to describe the number in the middle?
2pi*r
An ange whose vertex is the center of the circle
x°/360 times (?r²) - where x is the degrees in the angle
The average - mean - median - or mode.

34. What is the area of a cylinder?
(a-b)(a²+ab+b²)
Groups - teams - or committees.
2(pi)r(r+h)
S*v2

35. How do you find the sum of an arithmetic sequence?
(n/2) * (t1+tn)
Middle term
S^2
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'.

36. What is the unfactored version of x²-y² ?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Pi*d
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
(x+y)(x-y)

37. What is the equation of a line?

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38. In a coordinate system - what is the origin?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
x°/360 times (2 pi r) - where x is the degrees in the angle
(0 -0)
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. What is the area of a triangle?
(x+y)(x-y)
1/2bh
2pir^2 + 2pir*h
Lw

40. Chord
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
The distance from one point on the circle to another point on the circle.
The four big angles are equal and the four small angles are equal
Number of desired outcomes/number of total outcomes

41. How do you calculate the surface area of a rectangular box?
Sqr( x2 -x1) + (y2- y1)
(a-b)²
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

42. What is the prime factorization of 200?
2x2x2x5x5
T1 * r^(n-1)/(r-1)
x°/360 times (2 pi r) - where x is the degrees in the angle
2(pi)r(r+h)

43. Circumference of cirlce using diameter
S^2
(y-y1)=m(x-x1)
Pi*d
(0 -0)

44. How do you find the sum of a geometric sequence?
(pi)r^2
T1 * r^(n-1)/(r-1)
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.
The average - mean - median - or mode.

45. When you reverse FOIL - the term that needs to add out is the _____
Middle term
1/1
Not necessarily. This is a trick question - because x could be either positive or negative.
y = kx

46. What is the volume of a solid rectangle?
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.
Lwh
(a+b)(a²-ab+b²)
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.

47. 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.
Less
Arrangements - orders - schedules - or lists.
(x-y)²

48. List two odd behaviors of exponents
(n/2) * (t1+tn)
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.
x² + 2xy + y²
The average - mean - median - or mode.

49. What is the unfactored version of (x-y)² ?
x² -2xy + y²
(y2-y1)/(x2-x1)
2Length + 2width [or (length + width) x 2]
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.

50. The probability of an event happening and the probability of an event NOT happening must add up to what number?
(a+b)(a-b)
1. Given event A: A + notA = 1.
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.
An ange whose vertex is the center of the circle