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. What is the area of a sector?
Bh
(n degrees/360) * (pi)r^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

2. What is the area of a cylinder?
2(pi)r(r+h)
1/2bh
Middle term
2pir^2 + 2pir*h

3. Define a factorial of a number - and how it is written.
x°/360 times (?r²) - where x is the degrees in the angle
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.
½(base x height) [or (base x height)÷2]
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.

4. Area of a trapezoid
½(b1 +b2) x h [or (b1 +b2) x h÷2]
2(pi)r(r+h)
?r²
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

5. Area of Trapezoid
1/2 h (b1 + b2)
(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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

6. Area of Rectangle
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Lw
Groups - teams - or committees.
Opens up

7. Area of Circle
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.
1/3pir^2*h
Pi*r^2
x°/360 times (?r²) - where x is the degrees in the angle

8. Area of Parallelogram
(a+b)(a²-ab+b²)
Bh
2(pi)r
4/3pir^3

9. Area of Circles
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
A=?r2
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Less

10. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
y = kx
S^2
(x1+x2)/2 - (y1+y2)/2

11. Perimeter of a square
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 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.
4s (where s = length of a side)
2x2x2x5x5

12. What is the factored version of x² + 2xy + y² ?
(a-b)(a+b)
½(base x height) [or (base x height)÷2]
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(x+y)²

13. Circumference of a circle using radius
(n degrees/360) * 2(pi)r
2pi*r
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Bh

14. What is an 'equilateral' triangle?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
x°/360 times (?r²) - where x is the degrees in the angle
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.

15. a² - b² is equal to
(a+b)(a-b)
1.7
2(lw+wh+lh)
(a+b)²

16. How do you find the nth term of an arithmetic sequence?
T1 + (n-1)d
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.
1/3Bh
1.7

17. Circumference Formula
1/3pir^2*h
2pir^2 + 2pir*h
(0 -0)
C =?d

18. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
2Length + 2width [or (length + width) x 2]
1/x^a
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.
C =?d

19. Circle
Middle term
S² - where s = length of a side
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
The set of points which are all the same distance (the radius) from a certain point (the center).

20. Area of Square
Sum of terms/number of terms
2(pi)r
Less
S^2

21. What is inversely proportional?
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 = k/x
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
4pir^2

22. What are the side ratios for a 30:60:90 triangle?
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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.
Between 0 and 1.

23. Area of a triangle
Probability A * Probability B
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.
4pir^2
½(base x height) [or (base x height)÷2]

24. Define the mode of a set of numbers.
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.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.
Pi*r^2

25. x^a * x^b = x^__
4s (where s = length of a side)
2pi*r
A+b
½(base x height) [or (base x height)÷2]

26. What'S the most important thing to remember about charts you'll see on the GRE?
x² -2xy + y²
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.
x°/360 times (?r²) - where x is the degrees in the angle
2Length + 2width [or (length + width) x 2]

27. a²-b²
(a-b)(a+b)
S^2
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
1/2 h (b1 + b2)

28. Rough est. of v2 =
1.4
y2-y1/x2-x1
Arrangements - orders - schedules - or lists.
(x-y)²

29. What is the average?
T1 * r^(n-1)/(r-1)
1/3Bh
Sum of terms/number of terms
y-y1=m(x-x1)

30. What is the sum of the inside angles of an n-sided polygon?
(n-2)180
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.
(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.

31. a²-2ab+b²
Opens down
Negative
2pir^2 + 2pir*h
(a-b)²

32. What is the volume of a cylinder?
2Length + 2width [or (length + width) x 2]
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
y2-y1/x2-x1
(pi)r^2(h)

33. In a coordinate system - what is the origin?
1/3Bh
(y2-y1)/(x2-x1)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
(0 -0)

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

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

35. How do you find the midpoint?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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.
(x1+x2)/2 - (y1+y2)/2
C =?d

36. a³-b³
The four big angles are equal and the four small angles are equal
y-y1=m(x-x1)
Middle term
(a-b)(a²+ab+b²)

37. How do you multiply powers with the same base?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
1/2bh
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
The average - mean - median - or mode.

38. What is the circumference of a circle?
2(pi)r
The distance from one point on the circle to another point on the circle.
Lwh
4pir^2

39. If x² = 144 - does v144 = x?
Not necessarily. This is a trick question - because x could be either positive or negative.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
1
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.

40. Area of a circle
A segment connecting the center of a circle to any point on the circle
4s (where s = length of a side)
Percentage Change = Difference/Original * 100
?r²

41. In a parabola - if the first term is negative - the parabola ________.
y = k/x
Opens down
1/2 h (b1 + b2)
(a-b)(a+b)

42. Volume of sphere
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
4/3pir^3
Groups - teams - or committees.
x²-y²

43. x^-a =
(y2-y1)/(x2-x1)
Arrangements - orders - schedules - or lists.
Between 0 and 1.
1/x^a

44. Radius (Radii)
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
1.4
A segment connecting the center of a circle to any point on the circle
(a+b)(a-b)

45. What is the prime factorization of 200?
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.
2x2x2x5x5
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
y2-y1/x2-x1

46. What is the factored version of (x+y)(x-y) ?
x²-y²
Not necessarily. This is a trick question - because x could be either positive or negative.
T1 * r^(n-1)
1/1

47. Arc
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.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Part of a circle connecting two points on the circle.
1/3Bh

48. In a parabola - if the first term is positive - the parabola ________.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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 up
(y2-y1)/(x2-x1)

49. If something is possible but not certain - what is the numeric range of probability of it happening?
T1 * r^(n-1)
Not necessarily. This is a trick question - because x could be either positive or negative.
Between 0 and 1.
(n degrees/360) * 2(pi)r

50. In intersecting lines - opposite angles are _____.
Equal
y-y1=m(x-x1)
C =?d
1/3Bh