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.
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.
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.
T1 * r^(n-1)
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.

2. Arc
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.
Part of a circle connecting two points on the circle.
The distance across the circle through the center of the circle.The diameter is twice the radius.
2(pi)r(r+h)

3. Surface Area of Sphere
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Lw
4pir^2
Total distance/total time

4. How do you find the sum of an arithmetic sequence?
(n/2) * (t1+tn)
x² -2xy + y²
Opens up
1/2 h (b1 + b2)

5. What is the area of a circle?
Less
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.
2 pi r
(pi)r^2

6. Area of a square
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.
S² - where s = length of a side
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.
2x2x2x5x5

7. 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.
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
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.
(a-b)²

8. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
Probability A + Probability B
T1 + (n-1)d
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
(x+y)²

9. What is a 'Right isosceles' triangle?
1/2bh
Part of a circle connecting two points on 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.
2pir^2 + 2pir*h

10. (a+b)(a-b)=
1/2bh
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
(n/2) * (t1+tn)
A²-b²

11. When you reverse FOIL - the term that needs to add out is the _____
2(pi)r(r+h)
Middle term
A+b
?d OR 2?r

12. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
The distance from one point on the circle to another point on the circle.
Bh
N x M

13. a³+b³
Lwh
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.
(a+b)(a²-ab+b²)
1/1

14. Central Angle
An ange whose vertex is the center of the circle
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.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Middle term

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

16. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
y-y1=m(x-x1)
2pir^2 + 2pir*h
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'.
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.

17. a²+2ab+b²
4/3pir^3
1.4
2l+2w
(a+b)²

18. For a bell curve - what three terms might be used to describe the number in the middle?
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.
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.
The average - mean - median - or mode.
x²-y²

19. What is the 'distributive law'?
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.
?r²
Sum of the lengths of the sides
The distance from one point on the circle to another point on the circle.

20. Volume of prism
Negative
4s
Bh
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

21. Area of Parallelogram
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Bh
The average - mean - median - or 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'.

22. What is the area of a solid rectangle?
2(lw+wh+lh)
(x1+x2)/2 - (y1+y2)/2
Total distance/total time
T1 * r^(n-1)/(r-1)

23. What is the prime factorization of 200?
½(base x height) [or (base x height)÷2]
Total distance/total time
Middle term
2x2x2x5x5

24. Surface Area of rectangular prism
Part of a circle connecting two points on the circle.
(n degrees/360) * (pi)r^2
2lw+2lh+2wh
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.

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

26. Rough est. of v2 =
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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
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.
1.4

27. What is the formula for the diagonal of any square?
(n-2)180
2(pi)r(r+h)
Less
S*v2

28. Define the 'Third side' rule for triangles

29. Define the mode of a set of numbers.
1/2bh
N x M
Last term
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.

30. What is the length of an arc?
Total distance/total time
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.
(n degrees/360) * 2(pi)r
Bh

31. What do permutation problems often ask for?
Arrangements - orders - schedules - or lists.
2(pi)r
1/1
b±[vb²-4ac]/2a

32. What is the factored version of x² + 2xy + y² ?
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+y)²
1/3pir^2*h
Part of a circle connecting two points on the circle.

33. In intersecting lines - opposite angles are _____.
Pi*r^2
Pi*d
(x-y)²
Equal

34. What is the point-slope form?
x°/360 times (?r²) - where x is the degrees in the angle
(y-y1)=m(x-x1)
Last term
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.

35. List two odd behaviors of exponents
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
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.
Number of desired outcomes/number of total outcomes
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

36. Radius (Radii)
x² -2xy + y²
A segment connecting the center of a circle to any point on the circle
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.
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.

37. Area of a trapezoid
y = k/x
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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(n/2) * (t1+tn)

38. Area of a circle
S² - where s = length of a side
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.
?r²
y2-y1/x2-x1

39. When you reverse FOIL - the term that needs to multiply out is the _____
Last term
Part of a circle connecting two points on the circle.
2 pi r
2lw+2lh+2wh

40. In a coordinate system - identify the quadrants and describe their location.
4pir^2
2Length + 2width [or (length + width) x 2]
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
1/3pir^2*h

41. Volume of Cylinder
4s (where s = length of a side)
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.
Pir^2h
1/2 h (b1 + b2)

42. Volume of sphere
4/3pir^3
y = kx
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.
(x1+x2)/2 - (y1+y2)/2

43. What number goes on the bottom of a probability fraction?
S^2
Equal
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 total # of possible outcomes.

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

45. What is the equation of a line?

46. What is the volume of a solid rectangle?
y-y1=m(x-x1)
The distance across the circle through the center of the circle.The diameter is twice the radius.
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
Lwh

47. Perimeter of polygon
An ange whose vertex is the center of the circle
S² - where s = length of a side
Lw
Sum of the lengths of the sides

48. Area of Triangle
Sum of terms/number of terms
1/2bh
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.
Bh

49. Lines reflected over the x or y axis have ____ slopes.
Negative
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.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

50. What is the average?
Sum of terms/number of terms
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
(x+y)(x-y)