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

2. Area of rectangle - square - parallelogram
A=bh
T1 + (n-1)d
2pir^2 + 2pir*h
N x M

3. Area of a trapezoid
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Equal
y = kx
The distance from one point on the circle to another point on the circle.

4. How do you find the sum of an arithmetic sequence?
x² -2xy + y²
Pi*r^2
2(pi)r(r+h)
(n/2) * (t1+tn)

5. Area of a triangle
x°/360 times (?r²) - where x is the degrees in the angle
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.
½(base x height) [or (base x height)÷2]
(a-b)(a+b)

6. Area of a square
S² - where s = length of a side
1/3pir^2*h
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
2l+2w

7. How do you calculate the percentage of change?
S^2
Percentage Change = Difference/Original * 100
2x2x2x5x5
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.

8. Perimeter of a rectangle
S*v2
2Length + 2width [or (length + width) x 2]
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.

9. Area of a circle
1/2 h (b1 + b2)
(y2-y1)/(x2-x1)
2 pi r
?r²

10. Quadratic Formula
b±[vb²-4ac]/2a
(n-2)180
2lw+2lh+2wh
(n degrees/360) * (pi)r^2

11. How do you calculate the surface area of a rectangular box?
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.
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 segment connecting the center of a circle to any point on the circle
Bh

12. How do you find the nth term of a geometric sequence?
Sum of terms/number of terms
b±[vb²-4ac]/2a
Bh
T1 * r^(n-1)

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

14. How do you calculate a diagonal inside a 3-dimensional rectangular box?
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.
y = kx

15. a²+2ab+b²
Equal
1/x^a
Bh
(a+b)²

16. Area of Circles
(a-b)(a²+ab+b²)
4pir^2
C =?d
A=?r2

17. Area of Square
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
S*v2
A segment connecting the center of a circle to any point on the circle
S^2

18. Define the formula for calculating slope.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
2l+2w
Order does matter for a permutation - but does not matter for a combination.
Less

19. Surface Area of Cylinder
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.
x°/360 times (?r²) - where x is the degrees in the angle
(x+y)²
2pir^2 + 2pir*h

20. What is the area of a sector?
2lw+2lh+2wh
2x2x2x5x5
(n degrees/360) * (pi)r^2
½(b1 +b2) x h [or (b1 +b2) x h÷2]

21. Perimeter of a square
4s (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.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
2(lw+wh+lh)

22. When you reverse FOIL - the term that needs to multiply out is the _____
A=bh
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
Last term
1/x^a

23. Radius (Radii)
2(pi)r
T1 + (n-1)d
A segment connecting the center of a circle to any point on the circle
Equal

24. Central Angle
An ange whose vertex is the center of the circle
Less
S² - where s = length of a side
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

25. Volume of sphere
Lw
4/3pir^3
1/2bh
(n degrees/360) * 2(pi)r

26. What is the probability?
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
(a-b)(a+b)
Bh
Number of desired outcomes/number of total outcomes

27. What is the factored version of x² + 2xy + y² ?
(x+y)²
x°/360 times (?r²) - where x is the degrees in the angle
(x-y)²
1/1

28. In a coordinate system - identify the quadrants and describe their location.
2x2x2x5x5
(a+b)²
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Probability A * Probability B

29. How do you multiply and divide square roots?
2x2x2x5x5
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.
4s
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

30. Define a factorial of a number - and how it is written.
Opens up
Between 0 and 1.
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.
2(pi)r(r+h)

31. (a+b)(c+d)
Ac+ad+bc+bd
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
b±[vb²-4ac]/2a
Total distance/total time

32. What are the side ratios for a 30:60:90 triangle?
T1 * r^(n-1)/(r-1)
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.

33. How do you find the sum of a geometric sequence?
4/3pir^3
Order does matter for a permutation - but does not matter for a combination.
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
T1 * r^(n-1)/(r-1)

34. Volume of prism
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
2x2x2x5x5
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.
Bh

35. Circumference of a circle using radius
Middle term
2pi*r
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(a+b)(a²-ab+b²)

36. Volume of Cone
(x1+x2)/2 - (y1+y2)/2
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
(a+b)(a²-ab+b²)
1/3pir^2*h

37. If x² = 144 - does v144 = x?
1.4
Not necessarily. This is a trick question - because x could be either positive or negative.
(n degrees/360) * (pi)r^2
2(pi)r(r+h)

38. What is the area of a cylinder?
The average - mean - median - or mode.
2(pi)r(r+h)
A segment connecting the center of a circle to any point on the circle
(0 -0)

39. What is the unfactored version of (x+y)² ?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.
x² + 2xy + y²
y = k/x

40. What is a 'Right isosceles' triangle?
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.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
2(pi)r(r+h)
(x1+x2)/2 - (y1+y2)/2

41. What is the length of an arc?
?d OR 2?r
1/1
1/x^a
(n degrees/360) * 2(pi)r

42. Define the range of a set of numbers.
A²-b²
2x2x2x5x5
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.
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

43. Slope
(pi)r^2(h)
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.
(y2-y1)/(x2-x1)
2(lw+wh+lh)

44. What is the formula for the diagonal of any square?
(a-b)²
An ange whose vertex is the center of the circle
The four big angles are equal and the four small angles are equal
S*v2

45. What is directly proportional?
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.
2(pi)r(r+h)
Total distance/total time
y = kx

46. Area of a sector
The set of points which are all the same distance (the radius) from a certain point (the center).
(a+b)(a-b)
x°/360 times (?r²) - where x is the degrees in the angle
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.

47. How do you find the midpoint?
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.
T1 + (n-1)d
(x1+x2)/2 - (y1+y2)/2

48. x^-a =
Less
1/x^a
1/2 h (b1 + b2)
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.

49. Area of Parallelogram
x²-y²
T1 * r^(n-1)/(r-1)
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

50. When you reverse FOIL - the term that needs to add out is the _____
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
Middle term
(n degrees/360) * 2(pi)r
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.