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. Perimeter of rectangle
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.
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.
2l+2w
1/x^a

2. What is the prime factorization of 200?
2x2x2x5x5
(y-y1)=m(x-x1)
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.
Opens down

3. The probability of an event happening and the probability of an event NOT happening must add up to what number?
Ac+ad+bc+bd
y-y1=m(x-x1)
1. Given event A: A + notA = 1.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

4. What is the side ratio for a Right Isosceles triangle?
(a+b)²
(x+y)(x-y)
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
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

5. Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
?r²
Bh
x²-y²

6. What is the unfactored version of (x+y)² ?
2(pi)r
1.7
y2-y1/x2-x1
x² + 2xy + y²

7. How do you find the sum of a geometric sequence?
T1 * r^(n-1)/(r-1)
x°/360 times (?r²) - where x is the degrees in the angle
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.
Between 0 and 1.

8. Central Angle
T1 + (n-1)d
(n-2)180
y = k/x
An ange whose vertex is the center of the circle

9. Surface Area of Cylinder
Total distance/total time
2pir^2 + 2pir*h
An ange whose vertex is the center of the circle
y = kx

10. What is the area of a circle?
2(pi)r(r+h)
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 ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
(pi)r^2

11. What is the probability?
?d OR 2?r
Number of desired outcomes/number of total outcomes
A+b
4s

12. How do you find the nth term of a geometric sequence?
4pir^2
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
T1 * r^(n-1)

13. What is the point-slope form?
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
1/2bh
(y-y1)=m(x-x1)
1.4

14. Circumference of cirlce using diameter
?r²
(a+b)(a²-ab+b²)
Pi*d
A²-b²

15. What is the factored version of x² + 2xy + y² ?
(x+y)²
Opens down
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.
2lw+2lh+2wh

16. What'S the most important thing to remember about charts you'll see on the GRE?
T1 * r^(n-1)
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.
(pi)r^2
Arrangements - orders - schedules - or lists.

17. In a parabola - if the first term is positive - the parabola ________.
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.
4s
Opens up
(x1+x2)/2 - (y1+y2)/2

18. What is the surface area of a cylinder?
Order does matter for a permutation - but does not matter for a combination.
1/2bh
2(pi)r(r+h)
2 pi r

19. What is the area of a triangle?
(a+b)(a²-ab+b²)
1/2bh
Bh
A segment connecting the center of a circle to any point on the circle

20. How do you calculate a diagonal inside a 3-dimensional rectangular box?
2(pi)r
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
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

21. How do you calculate the probability of two events in a row? (Probability of A and B)
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(n/2) * (t1+tn)
1/2 h (b1 + b2)
Probability A * Probability B

22. Circle
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
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
The set of points which are all the same distance (the radius) from a certain point (the center).
Sum of the lengths of the sides

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

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

24. Area of a circle
1/3pir^2*h
(y-y1)=m(x-x1)
(x+y)(x-y)
?r²

25. In intersecting lines - opposite angles are _____.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
N x M
(a+b)(a²-ab+b²)
Equal

26. a³+b³
1/2 h (b1 + b2)
T1 + (n-1)d
4s (where s = length of a side)
(a+b)(a²-ab+b²)

27. How do you calculate the percentage of change?
Percentage Change = Difference/Original * 100
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.
S*v2
x°/360 times (?r²) - where x is the degrees in the angle

28. Volume of pyramid
Bh
1/3Bh
4/3pir^3
The four big angles are equal and the four small angles are equal

29. What is the volume of a cylinder?
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
(pi)r^2(h)
The set of points which are all the same distance (the radius) from a certain point (the center).

30. Circumference Formula
Lw
C =?d
A segment connecting the center of a circle to any point on the circle
Equal

31. perimeter of square
4s
S² - where s = length of a side
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
?r²

32. a³-b³
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Less
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
(a-b)(a²+ab+b²)

33. Define the range of a set of numbers.
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.
T1 * r^(n-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.
(pi)r^2

34. If x² = 144 - does v144 = x?
1/3pir^2*h
(a-b)(a²+ab+b²)
Not necessarily. This is a trick question - because x could be either positive or negative.
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

35. Volume of Cylinder
b±[vb²-4ac]/2a
2 pi r
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Pir^2h

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

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

37. In a coordinate system - what is the origin?
(0 -0)
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.
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.
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.

38. Volume of Cone
(n/2) * (t1+tn)
1/3pir^2*h
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)

39. What are the side ratios for a 30:60:90 triangle?
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(lw+wh+lh)
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
x² + 2xy + y²

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

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

41. What is the area of a sector?
(x1+x2)/2 - (y1+y2)/2
T1 + (n-1)d
(n degrees/360) * (pi)r^2
1. Given event A: A + notA = 1.

42. Area of a square
1/3pir^2*h
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
S² - where s = length of a side
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

43. In a coordinate system - identify the quadrants and describe their location.
(a-b)²
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Pi*r^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.

44. What number goes on the bottom of a probability fraction?
The total # of possible outcomes.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
(n-2)180
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

45. How do you find the midpoint?
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.
2l+2w
(x1+x2)/2 - (y1+y2)/2
(n degrees/360) * (pi)r^2

46. a²-b²
(a-b)(a+b)
2(pi)r
2l+2w
Lwh

47. What is inversely proportional?
y = k/x
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.
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.
b±[vb²-4ac]/2a

48. a² - b² is equal to
1.4
(a+b)(a-b)
The distance across the circle through the center of the circle.The diameter is twice the radius.
Negative

49. Quadratic Formula
1/2bh
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.
b±[vb²-4ac]/2a
1. Given event A: A + notA = 1.

50. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
(pi)r^2
(x+y)²
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
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.