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. a³+b³
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
(a+b)(a²-ab+b²)
(x-y)²
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

2. a²-b²
1
2(pi)r(r+h)
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.
(a-b)(a+b)

3. Volume of Cone
1/3pir^2*h
1/2bh
4s (where s = length of a side)
1. Given event A: A + notA = 1.

4. What is the average speed?
Middle term
The distance from one point on the circle to another point on the circle.
y = k/x
Total distance/total time

5. a²-2ab+b²
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
C =?d
Probability A + Probability B
(a-b)²

6. What is the average?
The total # of possible outcomes.
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.
Sum of terms/number of terms
2pi*r

7. Does order matter for a permutation? How about for a combination?
Order does matter for a permutation - but does not matter for a combination.
1
Not necessarily. This is a trick question - because x could be either positive or negative.
y-y1=m(x-x1)

8. How do you multiply powers with the same base?
2 pi r
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
N x M
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Arrangements - orders - schedules - or lists.
?d OR 2?r

10. Perimeter of a rectangle
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
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
T1 * r^(n-1)
2Length + 2width [or (length + width) x 2]

11. What is the distance formula?
Equal
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Sqr( x2 -x1) + (y2- y1)
x² -2xy + y²

12. What is the surface area of a cylinder?
Number of desired outcomes/number of total outcomes
2(pi)r(r+h)
Opens up
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.

13. How do you find the slope?
The distance across the circle through the center of the circle.The diameter is twice the radius.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
y2-y1/x2-x1
(n-2)180

14. Area of rectangle - square - parallelogram
y = k/x
S² - where s = length of a side
A=bh
2pi*r

15. When you reverse FOIL - the term that needs to multiply out is the _____
Lwh
Last term
(a+b)(a²-ab+b²)
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.

16. Area of a 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.
(y2-y1)/(x2-x1)
2(pi)r(r+h)
½(base x height) [or (base x height)÷2]

17. What is the equation of a line?

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

18. What is the point-slope form?
2(pi)r(r+h)
(y-y1)=m(x-x1)
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
1

19. (a+b)(a-b)=
?d OR 2?r
A²-b²
(n-2)180
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

20. What is a 'Right isosceles' triangle?
The four big angles are equal and the four small angles are equal
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
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.

21. When you reverse FOIL - the term that needs to add out is the _____
Middle term
(a-b)(a²+ab+b²)
The four big angles are equal and the four small angles are equal
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

22. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
Equal
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
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

23. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
y = kx
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.
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.

24. Circumference of cirlce using diameter
Bh
Pi*d
Number of desired outcomes/number of total outcomes
(n/2) * (t1+tn)

25. a²+2ab+b²
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.
The distance from one point on the circle to another point on the circle.
(a+b)²
4s

26. length of a sector
The distance from one point on the circle to another point on the circle.
1.7
(n degrees/360) * 2(pi)r
x°/360 times (2 pi r) - where x is the degrees in the angle

27. What is the factored version of x² -2xy + y² ?
(n degrees/360) * 2(pi)r
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.
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

28. 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

29. Volume of sphere
4/3pir^3
The four big angles are equal and the four small angles are equal
4s (where s = length of a side)
An ange whose vertex is the center of the circle

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

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

31. Circumference of a circle
b±[vb²-4ac]/2a
?d OR 2?r
4s
Middle term

32. What is the unfactored version of x²-y² ?
(x+y)(x-y)
4s (where s = length of a side)
1.7
An ange whose vertex is the center of the circle

33. 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

34. What is the area of a solid rectangle?
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.
1/2 h (b1 + b2)
Order does matter for a permutation - but does not matter for a combination.
2(lw+wh+lh)

35. What is the factored version of (x+y)(x-y) ?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
y = kx
(a+b)²
x²-y²

36. Define the formula for calculating slope.
The four big angles are equal and the four small angles are equal
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

37. What is the circumference of a circle?
2(pi)r
Opens up
A=bh
Last term

38. Area of a trapezoid
½(b1 +b2) x h [or (b1 +b2) x h÷2]
A+b
The total # of possible outcomes.
Pir^2h

39. What is the area of a cylinder?
Pi*d
2(pi)r(r+h)
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.
y = k/x

40. If something is possible but not certain - what is the numeric range of probability of it happening?
The distance from one point on the circle to another point on the circle.
Between 0 and 1.
S² - where s = length of a side
?d OR 2?r

41. Volume of prism
(n-2)180
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Bh
Sum of the lengths of the sides

42. In a coordinate system - what is the origin?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
2(lw+wh+lh)
(0 -0)
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

43. If something is certain to happen - how is the probability of this event expressed mathematically?
1/1
Groups - teams - or committees.
1. Given event A: A + notA = 1.
1

44. Define 'proportionate' values
2(pi)r(r+h)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
x°/360 times (2 pi r) - where x is the degrees in the angle
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

45. Surface Area of Cylinder
4/3pir^3
1. Given event A: A + notA = 1.
2pir^2 + 2pir*h
2pi*r

46. What is the probability?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2l+2w
Number of desired outcomes/number of total outcomes
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.

47. To divide powers with the same base...
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.
(a+b)(a-b)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Less

48. What is the 'Third side' rule for triangles?
1/3pir^2*h
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.
(a+b)²
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

49. What is the sum of the inside angles of an n-sided polygon?
N x M
(n-2)180
Part of a circle connecting two points on the circle.
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.

50. Rough est. of v1 =
An ange whose vertex is the center of the circle
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
4s (where s = length of a side)