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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. Volume of Cone
Not necessarily. This is a trick question - because x could be either positive or negative.
1/3pir^2*h
Last term
A=?r2

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

3. What is the prime factorization of 200?
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.
x°/360 times (2 pi r) - where x is the degrees in the angle
2x2x2x5x5
A²-b²

4. What is the volume of a cylinder?
(a-b)²
(pi)r^2(h)
Groups - teams - or committees.
(n degrees/360) * 2(pi)r

5. In a parabola - if the first term is negative - the parabola ________.
Percentage Change = Difference/Original * 100
Opens down
T1 * r^(n-1)
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

6. How do you calculate a diagonal inside a 3-dimensional rectangular box?
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.
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
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
2lw+2lh+2wh

7. What is the length of an arc?
(n degrees/360) * 2(pi)r
½(base x height) [or (base x height)÷2]
Less
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

8. What is the factored version of (x+y)(x-y) ?
A²-b²
(pi)r^2
(n degrees/360) * 2(pi)r
x²-y²

9. Explain the difference between a digit and a number.

10. How do you multiply powers with the same base?
Sum of the lengths of the sides
A+b
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
T1 + (n-1)d

11. x^-a =
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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
1/x^a
(pi)r^2(h)

12. For a bell curve - what three terms might be used to describe the number in the middle?
The average - mean - median - or mode.
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 = 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'.
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.

13. Arc
2 pi r
Part of a circle connecting two points on the circle.
A²-b²
1

14. Define the formula for calculating slope.
A=?r2
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.
(a-b)²
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

15. What number goes on the bottom of a probability fraction?
x°/360 times (2 pi r) - where x is the degrees in the angle
Probability A * Probability B
T1 * r^(n-1)/(r-1)
The total # of possible outcomes.

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

17. When you reverse FOIL - the term that needs to multiply out is the _____
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.
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.
Last term
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

18. How do you find the sum of a geometric sequence?
(n degrees/360) * 2(pi)r
Bh
Lw
T1 * r^(n-1)/(r-1)

19. How do you multiply and divide square roots?
(a-b)²
Not necessarily. This is a trick question - because x could be either positive or negative.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 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.

20. Quadratic Formula
S*v2
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.
b±[vb²-4ac]/2a
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.

21. Volume of sphere
4/3pir^3
(a-b)(a+b)
C =?d
Between 0 and 1.

22. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
2(pi)r(r+h)
x²-y²
½(base x height) [or (base x height)÷2]
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.

23. What is the circumference of a circle?
2(pi)r
Percentage Change = Difference/Original * 100
Arrangements - orders - schedules - or lists.
T1 + (n-1)d

24. Area of Circles
Ac+ad+bc+bd
A=?r2
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
A segment connecting the center of a circle to any point on the circle

25. a²+2ab+b²
(x1+x2)/2 - (y1+y2)/2
(a+b)²
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

26. The length of one side of any triangle is ____ than the sum of the other two sides.
Less
4/3pir^3
2l+2w
y = kx

27. To divide powers with the same base...
2 pi r
2(pi)r(r+h)
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

28. Area of rectangle - square - parallelogram
A=bh
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Last term
1/3Bh

29. What is the formula for the diagonal of any square?
T1 * r^(n-1)/(r-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.
S*v2
4s

30. How do you find the sum of an arithmetic sequence?
(n/2) * (t1+tn)
(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.
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.

31. If x² = 144 - does v144 = x?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Not necessarily. This is a trick question - because x could be either positive or negative.
Lwh
Pir^2h

32. In a parabola - if the first term is positive - the parabola ________.
Not necessarily. This is a trick question - because x could be either positive or negative.
Order does matter for a permutation - but does not matter for a combination.
Opens up
(x-y)²

33. Area of a trapezoid
½(base x height) [or (base x height)÷2]
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
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.

35. What'S the most important thing to remember about charts you'll see on the GRE?
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.
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.
2lw+2lh+2wh
The four big angles are equal and the four small angles are equal

36. Area of Trapezoid
Opens down
1/2 h (b1 + b2)
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
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. Central Angle
An ange whose vertex is the center of the circle
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Probability A + Probability B
Order does matter for a permutation - but does not matter for a combination.

38. How do you find the midpoint?
(x1+x2)/2 - (y1+y2)/2
4s
½(b1 +b2) x h [or (b1 +b2) x h÷2]
1

39. Circumference of cirlce using diameter
Pi*d
Total distance/total time
x² + 2xy + y²
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

40. What is a '30:60:90' triangle?
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.
T1 * r^(n-1)
(0 -0)
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

41. (a+b)(a-b)=
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Order does matter for a permutation - but does not matter for a combination.
A²-b²
1.4

42. What are the side ratios for a 30:60:90 triangle?
A=?r2
2l+2w
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Less

43. What is the area of a solid rectangle?
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
2(lw+wh+lh)
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.

44. What is the equation of a line?

45. Area of a square
S² - where s = length of a side
Part of a circle connecting two points on the circle.
1/3Bh
S*v2

46. Define the mode of a set of numbers.
4/3pir^3
Lw
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.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

47. What is the sum of the inside angles of an n-sided polygon?
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(n-2)180
2pir^2 + 2pir*h
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

48. What is the average?
N x M
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1/2bh
Sum of terms/number of terms

49. Perimeter of rectangle
?d OR 2?r
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.
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'.
2l+2w

50. What is the factored version of x² + 2xy + y² ?
S*v2
(x+y)²
Arrangements - orders - schedules - or lists.
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.

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