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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. Explain the special properties of zero.
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.
?r²
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.
T1 + (n-1)d

2. Volume of Cylinder
Sqr( x2 -x1) + (y2- y1)
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
(x+y)²
Pir^2h

3. How do you multiply powers with the same base?
2lw+2lh+2wh
y = k/x
(x1+x2)/2 - (y1+y2)/2
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

4. Chord
2 pi r
The distance from one point on the circle to another point on the circle.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

5. How do you calculate a diagonal inside a 3-dimensional rectangular box?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
1/1
b±[vb²-4ac]/2a
(y-y1)=m(x-x1)

6. a³-b³
(a-b)(a²+ab+b²)
Lw
Percentage Change = Difference/Original * 100
1/2bh

7. a²-b²
Between 0 and 1.
T1 * r^(n-1)/(r-1)
(a-b)(a+b)
2(pi)r(r+h)

8. What is the side ratio for a Right Isosceles triangle?
1/x^a
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.
An ange whose vertex is the center of the circle

9. How do you find the nth term of an arithmetic sequence?
The four big angles are equal and the four small angles are equal
2(pi)r(r+h)
2(pi)r
T1 + (n-1)d

10. Area of Circles
A+b
Not necessarily. This is a trick question - because x could be either positive or negative.
A=?r2
Middle term

11. In a coordinate system - identify the quadrants and describe their location.
Number of desired outcomes/number of total outcomes
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
(y2-y1)/(x2-x1)
Pir^2h

12. When you reverse FOIL - the term that needs to multiply out is the _____
Last term
½(base x height) [or (base x height)÷2]
(y-y1)=m(x-x1)
Sum of terms/number of terms

13. Surface Area of rectangular prism
Sum of the lengths of the sides
2lw+2lh+2wh
x² + 2xy + y²
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

14. What is the 'Third side' rule for triangles?
1
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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

15. What number goes on the bottom of a probability fraction?
1/3pir^2*h
A²-b²
2x2x2x5x5
The total # of possible outcomes.

16. What is the factored version of x² -2xy + y² ?
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Less
(x-y)²
1.4

17. Does order matter for a permutation? How about for a combination?
The set of points which are all the same distance (the radius) from a certain point (the center).
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.
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.
Order does matter for a permutation - but does not matter for a combination.

18. What is the area of a triangle?
2x2x2x5x5
Groups - teams - or committees.
1/2bh
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

19. To divide powers with the same base...
T1 + (n-1)d
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
2(pi)r(r+h)
S² - where s = length of a side

20. In intersecting lines - opposite angles are _____.
A segment connecting the center of a circle to any point on the circle
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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.
Equal

21. What is the probability?
1/3Bh
Number of desired outcomes/number of total outcomes
Groups - teams - or committees.
An ange whose vertex is the center of the circle

22. For a bell curve - what three terms might be used to describe the number in the middle?
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.
(x1+x2)/2 - (y1+y2)/2
The average - mean - median - or mode.
2l+2w

23. Rough est. of v2 =
1.4
Pir^2h
Arrangements - orders - schedules - or lists.
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.

24. What is the area of a circle?
The set of points which are all the same distance (the radius) from a certain point (the center).
T1 * r^(n-1)
(pi)r^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

25. Perimeter of a square
½(base x height) [or (base x height)÷2]
?d OR 2?r
Opens down
4s (where s = length of a side)

26. What is the area of a solid rectangle?
Pir^2h
2 pi r
2(lw+wh+lh)
(y-y1)=m(x-x1)

27. Define a factorial of a number - and how it is written.
2pi*r
(y-y1)=m(x-x1)
Percentage Change = Difference/Original * 100
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.

28. Area of a circle
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
Equal
(n-2)180
?r²

29. In a coordinate system - what is the origin?
(0 -0)
A segment connecting the center of a circle to any point on the circle
T1 * r^(n-1)/(r-1)
Less

30. What are the side ratios for a 30:60:90 triangle?
2pi*r
Groups - teams - or committees.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2(pi)r(r+h)

31. Radius (Radii)
Ac+ad+bc+bd
A segment connecting the center of a circle to any point on the circle
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. Given event A: A + notA = 1.

32. What is a 'Right isosceles' triangle?
Bh
1/2bh
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 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.

33. Perimeter (circumference) of a circle
2 pi r
Equal
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.
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.

34. x^-a =
The total # of possible outcomes.
Pir^2h
S*v2
1/x^a

35. If x² = 144 - does v144 = x?
N x M
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
2(pi)r(r+h)
Not necessarily. This is a trick question - because x could be either positive or negative.

36. In a parabola - if the first term is negative - the parabola ________.
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.
(a-b)²
Opens down
Percentage Change = Difference/Original * 100

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

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38. Area of a sector
Equal
x°/360 times (?r²) - where x is the degrees in the angle
T1 * r^(n-1)/(r-1)
?d OR 2?r

39. What is the area of a sector?
(n degrees/360) * (pi)r^2
Total distance/total time
Sum of the lengths of the sides
1/2bh

40. Surface Area of Cylinder
2pir^2 + 2pir*h
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
2 pi r
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

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

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42. What is the factored version of (x+y)(x-y) ?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
x²-y²

43. What is the length of an arc?
A segment connecting the center of a circle to any point on the circle
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
x² -2xy + y²

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

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45. Area of Trapezoid
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.
1/2 h (b1 + b2)
Lw
(0 -0)

46. What is the point-slope form?
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(a+b)²
(y-y1)=m(x-x1)
Probability A * Probability B

47. How do you calculate the percentage of change?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Opens up
Percentage Change = Difference/Original * 100
Order does matter for a permutation - but does not matter for a combination.

48. length of a sector
?d OR 2?r
x°/360 times (2 pi r) - where x is the degrees in the angle
(a-b)(a+b)
Probability A + Probability B

49. What is the unfactored version of (x-y)² ?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Order does matter for a permutation - but does not matter for a combination.
Opens up
x² -2xy + y²

50. Volume of pyramid
1/3Bh
1.7
Pi*d
2pi*r