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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 one misleading characteristic of quadratic equations that will be exploited on the GRE?
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.
Less
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.
(x-y)²

2. Area of Parallelogram
x² + 2xy + y²
The set of points which are all the same distance (the radius) from a certain point (the center).
Bh
T1 + (n-1)d

3. Area of rectangle - square - parallelogram
2(pi)r(r+h)
A=bh
(pi)r^2(h)
S*v2

4. What is the point-slope form?
Number of desired outcomes/number of total outcomes
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.
(n degrees/360) * (pi)r^2
(y-y1)=m(x-x1)

5. If something is possible but not certain - what is the numeric range of probability of it happening?
Between 0 and 1.
Bh
The average - mean - median - or mode.
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.

6. Circle
x²-y²
The set of points which are all the same distance (the radius) from a certain point (the center).
Probability A * Probability B
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

7. x^a * x^b = x^__
1. Given event A: A + notA = 1.
Sum of the lengths of the sides
A+b
Part of a circle connecting two points on the circle.

8. The probability of an event happening and the probability of an event NOT happening must add up to what number?
A=bh
2 pi r
2(pi)r(r+h)
1. Given event A: A + notA = 1.

9. Area of a trapezoid
T1 * r^(n-1)
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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
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.

10. Area of a triangle
1/2bh
1
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]

11. The length of one side of any triangle is ____ than the sum of the other two sides.
x² + 2xy + y²
Part of a circle connecting two points on the circle.
Opens up
Less

12. What is the prime factorization of 200?
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.
2x2x2x5x5
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.
T1 + (n-1)d

13. What is the unfactored version of (x-y)² ?
(n/2) * (t1+tn)
?d OR 2?r
(0 -0)
x² -2xy + y²

14. What is the side ratio for a 30:60:90 triangle?
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.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Opens down

15. Circumference Formula
Probability A * Probability B
2pi*r
1.4
C =?d

16. What is a '30:60:90' triangle?
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.
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
1/2bh
Sqr( x2 -x1) + (y2- y1)

17. Perimeter of a rectangle
y2-y1/x2-x1
Pi*r^2
2Length + 2width [or (length + width) x 2]
(n/2) * (t1+tn)

18. Volume of prism
Bh
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 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)/(r-1)

19. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Probability A + Probability B
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.
Lwh

20. How do you solve a permutation?
Lw
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
1. Given event A: A + notA = 1.
A+b

21. How do you find the nth term of a geometric sequence?
(x+y)²
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.
1/1
T1 * r^(n-1)

22. What is the distance formula?
Sqr( x2 -x1) + (y2- y1)
x² -2xy + y²
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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

23. In a coordinate system - what is the origin?
The average - mean - median - or mode.
(0 -0)
x² -2xy + y²
The set of points which are all the same distance (the radius) from a certain point (the center).

24. What is the area of a sector?
A²-b²
1/3pir^2*h
?r²
(n degrees/360) * (pi)r^2

25. What do combination problems usually ask for?
Groups - teams - or committees.
x°/360 times (2 pi r) - where x is the degrees in the angle
4s
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

26. x^-a =
½(base x height) [or (base x height)÷2]
Part of a circle connecting two points on the circle.
1/x^a
The average - mean - median - or mode.

27. What is the sum of the inside angles of an n-sided polygon?
(a-b)²
(n-2)180
(pi)r^2(h)
1/2bh

28. Arc
The four big angles are equal and the four small angles are 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
A segment connecting the center of a circle to any point on the circle
Part of a circle connecting two points on the circle.

29. a³+b³
Not necessarily. This is a trick question - because x could be either positive or negative.
(n degrees/360) * 2(pi)r
(a+b)(a²-ab+b²)
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.

30. What is the area of a triangle?
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.
Pir^2h
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
1/2bh

31. How do you calculate the probability of two events in a row? (Probability of A and B)
A segment connecting the center of a circle to any point on the circle
Probability A * Probability B
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.
(n degrees/360) * (pi)r^2

32. How do you calculate a diagonal inside a 3-dimensional rectangular box?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Ac+ad+bc+bd
A+b
Equal

33. What is the length of an arc?
1/3pir^2*h
Opens up
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
(n degrees/360) * 2(pi)r

34. a²+2ab+b²
(x+y)(x-y)
x²-y²
x² + 2xy + y²
(a+b)²

35. Radius (Radii)
A segment connecting the center of a circle to any point on the circle
x²-y²
y = k/x
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.

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

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37. What is the factored version of x² -2xy + y² ?
(x-y)²
Last term
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)(a²+ab+b²)

38. What is the volume of a cylinder?
(pi)r^2(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'.
Between 0 and 1.
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

39. In a parabola - if the first term is positive - the parabola ________.
4/3pir^3
Percentage Change = Difference/Original * 100
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
Opens up

40. Define the range of a set of numbers.
2(lw+wh+lh)
(x+y)(x-y)
N x M
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.

41. Area of a sector
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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
x°/360 times (?r²) - where x is the degrees in the angle
The distance from one point on the circle to another point on the circle.

42. Volume of Cone
1/3pir^2*h
(x+y)(x-y)
b±[vb²-4ac]/2a
2pir^2 + 2pir*h

43. Does order matter for a permutation? How about for a combination?
Order does matter for a permutation - but does not matter for a combination.
x² + 2xy + y²
Opens down
4pir^2

44. List two odd behaviors of exponents
?d OR 2?r
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.
Not necessarily. This is a trick question - because x could be either positive or negative.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

45. Perimeter of rectangle
2l+2w
Part of a circle connecting two points on the circle.
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.
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.

46. What number goes on the bottom of a probability fraction?
Probability A + Probability B
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.
(a-b)(a+b)
The total # of possible outcomes.

47. Circumference of a circle
?d OR 2?r
2(pi)r
A+b
x°/360 times (2 pi r) - where x is the degrees in the angle

48. In a coordinate system - identify the quadrants and describe their location.
C =?d
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Total distance/total time
(a-b)(a+b)

49. What is the surface area of a cylinder?
b±[vb²-4ac]/2a
2(pi)r(r+h)
A²-b²
2pi*r

50. What is the formula for the diagonal of any square?
Equal
S*v2
1/2bh
1/1