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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. In a parabola - if the first term is positive - the parabola ________.
Opens up
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.
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.
1/1

2. What'S the most important thing to remember about charts you'll see on the GRE?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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.
4/3pir^3
Lwh

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

4. When you reverse FOIL - the term that needs to multiply out is the _____
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. Given event A: A + notA = 1.
Sum of the lengths of the sides
Last term

5. What is the distance formula?
Sqr( x2 -x1) + (y2- y1)
(n/2) * (t1+tn)
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.
y2-y1/x2-x1

6. Sector
2x2x2x5x5
(n degrees/360) * (pi)r^2
½(base x height) [or (base x height)÷2]
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.

7. What is the unfactored version of (x+y)² ?
The set of points which are all the same distance (the radius) from a certain point (the center).
x² + 2xy + y²
Negative
4s (where s = length of a side)

8. Arc
T1 + (n-1)d
Sum of terms/number of terms
Part of a circle connecting two points on the circle.
The set of points which are all the same distance (the radius) from a certain point (the center).

9. Area of a triangle
½(base x height) [or (base x height)÷2]
2(lw+wh+lh)
1/2bh
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.

10. Volume of prism
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
Percentage Change = Difference/Original * 100
2pir^2 + 2pir*h
Bh

11. What is directly proportional?
y = kx
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
T1 + (n-1)d
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.

12. What is the factored version of (x+y)(x-y) ?
2(lw+wh+lh)
x²-y²
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2Length + 2width [or (length + width) x 2]

13. Area of a circle
The set of points which are all the same distance (the radius) from a certain point (the center).
?r²
(x-y)²
Percentage Change = Difference/Original * 100

14. What is an 'equilateral' triangle?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
1.7
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Opens up

15. Area of Trapezoid
x²-y²
Arrangements - orders - schedules - or lists.
1/2 h (b1 + b2)
Equal

16. What is the side ratio for a Right Isosceles triangle?
y = k/x
The distance from one point on the circle to another point on the circle.
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.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

17. How do you multiply powers with the same base?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
b±[vb²-4ac]/2a
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(pi)r^2

18. What is a 'Right isosceles' triangle?
2(lw+wh+lh)
S^2
1.7
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.

19. What is the circumference of a circle?
2(pi)r
The set of points which are all the same distance (the radius) from a certain point (the center).
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.
1/2bh

20. Perimeter of a rectangle
Groups - teams - or committees.
Not necessarily. This is a trick question - because x could be either positive or negative.
Order does matter for a permutation - but does not matter for a combination.
2Length + 2width [or (length + width) x 2]

21. Central Angle
1/1
Bh
An ange whose vertex is the center of the circle
4/3pir^3

22. How do you find the sum of a geometric sequence?
2(pi)r
T1 * r^(n-1)/(r-1)
A²-b²
(a+b)(a-b)

23. Area of Circles
Middle term
Bh
A=?r2
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

24. Quadratic Formula
b±[vb²-4ac]/2a
(n-2)180
T1 * r^(n-1)/(r-1)
Equal

25. What is the 'Third side' rule for triangles?
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)(a+b)
Probability A * Probability B
½(b1 +b2) x h [or (b1 +b2) x h÷2]

26. Define the 'Third side' rule for triangles

27. Perimeter of polygon
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.
An ange whose vertex is the center of the circle
Sum of the lengths of the sides
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

28. Area of Triangle
1/2bh
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Pi*r^2
Opens down

29. What is a '30:60:90' triangle?
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.
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
(n degrees/360) * (pi)r^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.

30. Diameter
Ac+ad+bc+bd
The distance across the circle through the center of the circle.The diameter is twice the radius.
x² -2xy + y²
(n-2)180

31. How do you calculate a diagonal inside a 3-dimensional rectangular box?
b±[vb²-4ac]/2a
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.
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
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

32. What number goes on the bottom of a probability fraction?
The total # of possible outcomes.
Pi*r^2
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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

33. Define 'proportionate' values
Sum of the lengths of the sides
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
(0 -0)
(a+b)²

34. (a+b)(c+d)
Ac+ad+bc+bd
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
y = k/x
2 pi r

35. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
x² -2xy + y²
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 segment connecting the center of a circle to any point on the circle
1/2 h (b1 + b2)

36. a³+b³
Pi*r^2
(a+b)(a²-ab+b²)
Sum of the lengths of the sides
2pir^2 + 2pir*h

37. What is the average?
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
Sum of terms/number of terms
Probability A + Probability B
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

38. When a line crosses two parallel lines - ________.
The four big angles are equal and the four small angles are equal
Order does matter for a permutation - but does not matter for a combination.
The distance across the circle through the center of the circle.The diameter is twice the radius.
T1 * r^(n-1)/(r-1)

39. Area of a trapezoid
Equal
1.4
½(b1 +b2) x h [or (b1 +b2) x h÷2]
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'.

40. Area of rectangle - square - parallelogram
(y-y1)=m(x-x1)
A=bh
1/2 h (b1 + b2)
The average - mean - median - or mode.

41. x^-a =
1/x^a
Opens up
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
2l+2w

42. How do you find the nth term of a geometric sequence?
2x2x2x5x5
Pi*r^2
x²-y²
T1 * r^(n-1)

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

44. How do you find the nth term of an arithmetic sequence?
T1 + (n-1)d
The distance from one point on the circle to another point on the circle.
1.4
(y-y1)=m(x-x1)

45. Explain the special properties of 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.
4s
Sqr( x2 -x1) + (y2- y1)
1/2bh

46. For a bell curve - what three terms might be used to describe the number in the middle?
The average - mean - median - or mode.
S² - where s = length of a side
Bh
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

47. Surface Area of rectangular prism
S^2
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
1.4
2lw+2lh+2wh

48. How do you find the midpoint?
Not necessarily. This is a trick question - because x could be either positive or negative.
(x1+x2)/2 - (y1+y2)/2
N x M
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

49. What is the factored version of x² -2xy + y² ?
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.
2Length + 2width [or (length + width) x 2]
The set of points which are all the same distance (the radius) from a certain point (the center).
(x-y)²

50. 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.
(a+b)(a²-ab+b²)
4s
Ac+ad+bc+bd