Test your basic knowledge |

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. Define a factorial of a number - and how it is written.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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 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.
(n-2)180

2. What is the 'distributive law'?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x 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.
The average - mean - median - or mode.
Percentage Change = Difference/Original * 100

3. Point-Slope form
y-y1=m(x-x1)
x°/360 times (2 pi r) - where x is the degrees in the angle
A+b
A segment connecting the center of a circle to any point on the circle

4. The length of one side of any triangle is ____ than the sum of the other two sides.
Less
(y-y1)=m(x-x1)
Pir^2h
Pi*d

5. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
y2-y1/x2-x1
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.
Not necessarily. This is a trick question - because x could be either positive or negative.
The four big angles are equal and the four small angles are equal

6. How do you solve a permutation?
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
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
(pi)r^2
(a+b)(a-b)

7. Define the formula for calculating slope.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Sum of terms/number of terms
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
(n-2)180

8. Area of Circle
Number of desired outcomes/number of total outcomes
(a+b)²
Pir^2h
Pi*r^2

9. What is the side ratio for a 30:60:90 triangle?
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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1/2bh
Groups - teams - or committees.

10. What is the point-slope form?
2(lw+wh+lh)
(0 -0)
1/2 h (b1 + b2)
(y-y1)=m(x-x1)

11. What is the probability?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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.
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.
Number of desired outcomes/number of total outcomes

12. Area of Parallelogram
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
4s (where s = length of a side)
y = k/x
Bh

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

14. Volume of Cylinder
Bh
Pir^2h
A²-b²
(a+b)(a²-ab+b²)

15. Diameter
?d OR 2?r
y = k/x
Lwh
The distance across the circle through the center of the circle.The diameter is twice the radius.

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

17. How do you calculate a diagonal inside a 3-dimensional rectangular box?
The distance across the circle through the center of the circle.The diameter is twice the radius.
(n-2)180
Opens up
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

18. Area of rectangle - square - parallelogram
2 pi r
4/3pir^3
Probability A * Probability B
A=bh

19. Circumference Formula
(pi)r^2
?r²
C =?d
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.

20. What is the volume of a cylinder?
2pi*r
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.
(pi)r^2(h)
4s

21. Define the median of a set of numbers - and how to find it for an odd and even number of values in a set.

22. Surface Area of Sphere
(a-b)²
Less
4pir^2
2(pi)r(r+h)

23. (a+b)(a-b)=
4pir^2
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
A²-b²
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.

24. What is directly proportional?
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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.
y = kx
Arrangements - orders - schedules - or lists.

25. What is the factored version of (x+y)(x-y) ?
(a-b)(a²+ab+b²)
x²-y²
y = kx
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.

26. Area of a triangle
½(base x height) [or (base x height)÷2]
S*v2
(x+y)(x-y)
(y-y1)=m(x-x1)

27. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
Middle term
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.
N x M
Lw

28. In a coordinate system - what is the origin?
1/3pir^2*h
(0 -0)
2lw+2lh+2wh
4/3pir^3

29. a³+b³
Not necessarily. This is a trick question - because x could be either positive or negative.
(a+b)(a²-ab+b²)
(x+y)(x-y)
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

30. How do you multiply and divide square roots?
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.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
(n/2) * (t1+tn)

31. What is the equation of a line?

32. How do you calculate the percentage of change?
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
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
A²-b²

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

34. Sector
x² -2xy + y²
Last term
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.
Pi*d

35. Area of a circle
y = kx
?r²
C =?d
x² -2xy + y²

36. What are the side ratios for a 30:60:90 triangle?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
b±[vb²-4ac]/2a
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.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

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

38. What is the distance formula?
The distance across the circle through the center of the circle.The diameter is twice the radius.
4/3pir^3
(a+b)²
Sqr( x2 -x1) + (y2- y1)

39. a²+2ab+b²
1.7
Lwh
(a+b)²
2x2x2x5x5

40. If something is possible but not certain - what is the numeric range of probability of it happening?
x² + 2xy + y²
Negative
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Between 0 and 1.

41. When you reverse FOIL - the term that needs to multiply out is the _____
Last term
The average - mean - median - or mode.
(n/2) * (t1+tn)
(y2-y1)/(x2-x1)

42. Perimeter of a square
4s (where s = length of a side)
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
y-y1=m(x-x1)
1/2bh

43. The probability of an event happening and the probability of an event NOT happening must add up to what number?
The distance across the circle through the center of the circle.The diameter is twice the radius.
Order does matter for a permutation - but does not matter for a combination.
2l+2w
1. Given event A: A + notA = 1.

44. How do you calculate the surface area of a rectangular box?
x²-y²
A segment connecting the center of a circle to any point on the circle
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.
Sum of terms/number of terms

45. Circumference of cirlce using diameter
Pi*d
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.
(x+y)²
(n/2) * (t1+tn)

46. What is the factored version of x² + 2xy + y² ?
y-y1=m(x-x1)
(x+y)²
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 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.

47. What is the unfactored version of (x+y)² ?
S*v2
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
A²-b²
x² + 2xy + y²

48. Slope
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Groups - teams - or committees.
(y2-y1)/(x2-x1)
(n degrees/360) * (pi)r^2

49. Perimeter of polygon
The distance from one point on the circle to another point on the circle.
Sum of the lengths of the sides
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.
(n degrees/360) * 2(pi)r

50. Explain the special properties of zero.
Probability A + Probability B
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.
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.
x² -2xy + y²