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)=
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.
x°/360 times (2 pi r) - where x is the degrees in the angle
A²-b²
(x+y)(x-y)

2. a² - b² is equal to
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
1
(a+b)(a-b)
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.

3. What is the probability?
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.
Number of desired outcomes/number of total outcomes
(a+b)²

4. Point-Slope form
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 circle'S perimeter is roughly 3x its diameter (the formula is pd).
A²-b²
y-y1=m(x-x1)

5. What'S the most important thing to remember about charts you'll see on the GRE?
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.
1.7
Opens down
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

6. The probability of an event happening and the probability of an event NOT happening must add up to what number?
1. Given event A: A + notA = 1.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
(x-y)²
(n degrees/360) * (pi)r^2

7. What is the average speed?
2(lw+wh+lh)
Total distance/total time
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.
S^2

8. How do you find the sum of an arithmetic sequence?
(n/2) * (t1+tn)
T1 + (n-1)d
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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

9. Circumference Formula
Opens down
x°/360 times (?r²) - where x is the degrees in the angle
1/3pir^2*h
C =?d

10. Circumference of a circle using radius
C =?d
2pi*r
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.
(y2-y1)/(x2-x1)

11. Area of Circles
(n degrees/360) * (pi)r^2
A=?r2
½(base x height) [or (base x height)÷2]
The distance from one point on the circle to another point on the circle.

12. How do you calculate the surface area of a rectangular box?
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.
Less
2lw+2lh+2wh
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

13. What is the unfactored version of (x+y)² ?
x² + 2xy + y²
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.
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
4pir^2

14. Area of Rectangle
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.
The total # of possible outcomes.
y = k/x
Lw

15. Volume of Cone
(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
1/3pir^2*h
A segment connecting the center of a circle to any point on the circle

16. a²-b²
(a-b)(a+b)
(a+b)(a-b)
Number of desired outcomes/number of total outcomes
(n degrees/360) * (pi)r^2

17. If something is certain to happen - how is the probability of this event expressed mathematically?
T1 * r^(n-1)/(r-1)
1/1
(a+b)²
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.

18. How do you multiply powers with the same base?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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 four big angles are equal and the four small angles are equal
C =?d

19. Area of Trapezoid
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
1/2 h (b1 + b2)
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.
A=bh

20. What is the volume of a solid rectangle?
Order does matter for a permutation - but does not matter for a combination.
Number of desired outcomes/number of total outcomes
Lwh
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

21. 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.
T1 * r^(n-1)/(r-1)
Sum of terms/number of terms
Probability A + Probability B

22. 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

23. How do you find the midpoint?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
(x1+x2)/2 - (y1+y2)/2
2(lw+wh+lh)
Total distance/total time

24. Area of a triangle
2pi*r
Last term
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]

25. Perimeter of polygon
1/3Bh
Order does matter for a permutation - but does not matter for a combination.
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.
Sum of the lengths of the sides

26. What do permutation problems often ask for?
A+b
(n degrees/360) * 2(pi)r
Arrangements - orders - schedules - or lists.
1/x^a

27. What is the distance formula?
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.
Last term
Sqr( x2 -x1) + (y2- y1)
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.

28. What is the factored version of (x+y)(x-y) ?
Number of desired outcomes/number of total outcomes
x²-y²
4/3pir^3
y-y1=m(x-x1)

29. When you reverse FOIL - the term that needs to multiply out is the _____
4s (where s = length of a side)
The total # of possible outcomes.
Last term
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

30. Perimeter (circumference) of a circle
1/2 h (b1 + b2)
Part of a circle connecting two points on the circle.
2 pi r
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

31. When a line crosses two parallel lines - ________.
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
Order does matter for a permutation - but does not matter for a combination.
The four big angles are equal and the four small angles are equal
(a+b)(a²-ab+b²)

32. What is a 'Right isosceles' triangle?
The distance from one point on the circle to another point on the circle.
(a-b)²
4s
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.

33. a³-b³
Pir^2h
x² + 2xy + y²
(a-b)(a²+ab+b²)
y = kx

34. Circle
1.4
The set of points which are all the same distance (the radius) from a certain point (the center).
2(pi)r(r+h)
1/3Bh

35. Volume of pyramid
A segment connecting the center of a circle to any point on the circle
(a+b)(a²-ab+b²)
1/3Bh
The distance from one point on the circle to another point on the circle.

36. What is the factored version of x² -2xy + y² ?
½(base x height) [or (base x height)÷2]
Ac+ad+bc+bd
(x-y)²
(y2-y1)/(x2-x1)

37. In a parabola - if the first term is negative - the parabola ________.
Middle term
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
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.
Opens down

38. a²+2ab+b²
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.
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)²
S^2

39. How do you find the slope?
A=?r2
The set of points which are all the same distance (the radius) from a certain point (the center).
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.
y2-y1/x2-x1

40. What is the formula for the diagonal of any square?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
S*v2
Part of a circle connecting two points on the circle.
The total # of possible outcomes.

41. perimeter of square
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
4s
2Length + 2width [or (length + width) x 2]
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

42. 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

43. Rough est. of v1 =
1
A+b
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.
4s (where s = length of a side)

44. Volume of Cylinder
Sum of terms/number of terms
1/2bh
y = kx
Pir^2h

45. x^-a =
1. Given event A: A + notA = 1.
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.
1/x^a

46. In a parabola - if the first term is positive - the parabola ________.
Opens up
2l+2w
Bh
½(base x height) [or (base x height)÷2]

47. Surface Area of rectangular prism
Sum of the lengths of the sides
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.
2l+2w
2lw+2lh+2wh

48. 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

49. Rough est. of v2 =
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Less
1.4
Order does matter for a permutation - but does not matter for a combination.

50. a³+b³
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Ac+ad+bc+bd
(a+b)(a-b)
(a+b)(a²-ab+b²)