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. (a+b)(a-b)=
y-y1=m(x-x1)
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.
A²-b²
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.

2. How do you calculate the probability of two events in a row? (Probability of A and B)
T1 * r^(n-1)
x² + 2xy + y²
(x+y)(x-y)
Probability A * Probability B

3. What is the area of a cylinder?
1/x^a
Less
y = kx
2(pi)r(r+h)

4. What is the factored version of x² + 2xy + y² ?
(x+y)²
(pi)r^2
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.
An ange whose vertex is the center of the circle

5. Quadratic Formula
2Length + 2width [or (length + width) x 2]
2x2x2x5x5
b±[vb²-4ac]/2a
(y2-y1)/(x2-x1)

6. When a line crosses two parallel lines - ________.
y-y1=m(x-x1)
2(pi)r(r+h)
The four big angles are equal and the four small angles are equal
Percentage Change = Difference/Original * 100

7. If something is certain to happen - how is the probability of this event expressed mathematically?
1/1
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
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.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

8. In a parabola - if the first term is positive - the parabola ________.
A²-b²
Opens up
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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

9. What is the formula for the diagonal of any square?
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.
S*v2
Total distance/total time
Pi*d

10. Perimeter (circumference) of a circle
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
2 pi r
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
The distance across the circle through the center of the circle.The diameter is twice the radius.

11. What number goes on the bottom of a probability fraction?
The total # of possible outcomes.
b±[vb²-4ac]/2a
The average - mean - median - or mode.
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.

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

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

13. Surface Area of rectangular prism
(pi)r^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.
2lw+2lh+2wh
(x+y)(x-y)

14. What is the volume of a cylinder?
S^2
?r²
Bh
(pi)r^2(h)

15. What is inversely proportional?
4/3pir^3
y = k/x
An ange whose vertex is the center of the circle
1/2 h (b1 + b2)

16. How do you find the nth term of an arithmetic sequence?
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
Sum of the lengths of the sides
y2-y1/x2-x1
T1 + (n-1)d

17. Circumference of a circle
y2-y1/x2-x1
?d OR 2?r
x² -2xy + y²
Lw

18. 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

19. Surface Area of Sphere
4pir^2
Probability A + Probability B
A=?r2
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.

20. Area of a sector
x°/360 times (?r²) - where x is the degrees in the angle
1/1
2Length + 2width [or (length + width) x 2]
(x1+x2)/2 - (y1+y2)/2

21. perimeter of square
4s
4pir^2
(a+b)(a-b)
4/3pir^3

22. Perimeter of rectangle
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.
x²-y²
2l+2w
N x M

23. Perimeter of a square
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
4s (where s = length of a side)
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'.
The four big angles are equal and the four small angles are equal

24. What is the factored version of x² -2xy + y² ?
(x-y)²
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.
4s (where s = length of a side)
Negative

25. What is the sum of the inside angles of an n-sided polygon?
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.
Order does matter for a permutation - but does not matter for a combination.
Last term
(n-2)180

26. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
1/3Bh
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.
The four big angles are equal and the four small angles are equal
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.

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

28. Volume of prism
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Lwh
Bh
x² + 2xy + y²

29. Define the 'Third side' rule for triangles

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

30. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
N x M
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
1/x^a
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.

31. What is a 'Right isosceles' triangle?
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'.
1. Given event A: A + notA = 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.
Middle term

32. 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

33. What is the point-slope form?
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.
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.
(x+y)(x-y)
(y-y1)=m(x-x1)

34. If x² = 144 - does v144 = x?
Equal
2l+2w
Last term
Not necessarily. This is a trick question - because x could be either positive or negative.

35. What is the prime factorization of 200?
Order does matter for a permutation - but does not matter for a combination.
2x2x2x5x5
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.
A+b

36. What is the area of a solid rectangle?
Probability A * Probability B
S^2
2(lw+wh+lh)
x°/360 times (?r²) - where x is the degrees in the angle

37. Area of Rectangle
2 pi r
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.
1/x^a
Lw

38. Perimeter of polygon
Sum of the lengths of the sides
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Total distance/total time
A=bh

39. Lines reflected over the x or y axis have ____ slopes.
2(pi)r(r+h)
Negative
1/2bh
Sum of terms/number of terms

40. How do you find the sum of an arithmetic sequence?
1/x^a
(a+b)²
(n/2) * (t1+tn)
(x1+x2)/2 - (y1+y2)/2

41. Area of Parallelogram
A+b
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.
Bh

42. In a coordinate system - what is the origin?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
S² - where s = length of a side
(0 -0)

43. How do you multiply and divide square roots?
y-y1=m(x-x1)
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
½(base x height) [or (base x height)÷2]
1. Given event A: A + notA = 1.

44. Define the formula for calculating slope.
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.
(y-y1)=m(x-x1)
The four big angles are equal and the four small angles are equal
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

45. How do you calculate the surface area of a rectangular box?
(a+b)(a²-ab+b²)
2Length + 2width [or (length + width) x 2]
(x+y)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.

46. a²+2ab+b²
Sum of the lengths of the sides
Not necessarily. This is a trick question - because x could be either positive or negative.
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.
(a+b)²

47. How do you calculate the percentage of change?
1.7
1/3pir^2*h
Percentage Change = Difference/Original * 100
Less

48. Define a factorial of a number - and how it is written.
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.
(pi)r^2(h)
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.
Bh

49. Rough est. of v1 =
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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
T1 * r^(n-1)
1

50. What is the side ratio for a 30:60:90 triangle?
(y2-y1)/(x2-x1)
Probability A * Probability B
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Bh