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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. Rough est. of v3 =
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.
(y-y1)=m(x-x1)
Sum of terms/number of terms
1.7

2. What is the unfactored version of x²-y² ?
A²-b²
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.
Total distance/total time
(x+y)(x-y)

3. Volume of Cone
2(pi)r(r+h)
Part of a circle connecting two points on the circle.
1/3pir^2*h
Bh

4. How do you calculate the probability of two events in a row? (Probability of A and B)
Middle term
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.
Percentage Change = Difference/Original * 100
Probability A * Probability B

5. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
2(lw+wh+lh)
Probability A * Probability B
(a+b)(a-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.

6. What is the formula for the diagonal of any square?
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
S*v2
1/2bh
An ange whose vertex is the center of the circle

7. How do you find the nth term of a geometric sequence?
Bh
2(pi)r
S^2
T1 * r^(n-1)

8. What is the volume of a solid rectangle?
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.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
?d OR 2?r
Lwh

9. Point-Slope form
y-y1=m(x-x1)
Between 0 and 1.
1/x^a
Sqr( x2 -x1) + (y2- y1)

10. How do you find the sum of an arithmetic sequence?
(n/2) * (t1+tn)
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.
S^2
Order does matter for a permutation - but does not matter for a combination.

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

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12. Lines reflected over the x or y axis have ____ slopes.
The distance across the circle through the center of the circle.The diameter is twice the radius.
Negative
b±[vb²-4ac]/2a
1/2 h (b1 + b2)

13. Area of a sector
1.4
1/2bh
x°/360 times (?r²) - where x is the degrees in the angle
T1 + (n-1)d

14. Radius (Radii)
A segment connecting the center of a circle to any point on the circle
S^2
4pir^2
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.

15. What is the point-slope form?
(y-y1)=m(x-x1)
?r²
The distance from one point on the circle to another point on the circle.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

16. What is a 'Right isosceles' triangle?
(pi)r^2(h)
2(pi)r
Between 0 and 1.
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.

17. How do you calculate the surface area of a rectangular box?
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
Last term
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.
A²-b²

18. Define the range of a set of numbers.
Bh
y = k/x
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.
?r²

19. a²+2ab+b²
Negative
2(pi)r(r+h)
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)²

20. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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.
C =?d
Number of desired outcomes/number of total outcomes
Part of a circle connecting two points on the circle.

21. Area of Square
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
S^2
T1 + (n-1)d
1/2 h (b1 + b2)

22. Rough est. of v1 =
1
C =?d
2(pi)r
1/1

23. length of a sector
x°/360 times (2 pi r) - where x is the degrees in the angle
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.
(a+b)(a-b)
y2-y1/x2-x1

24. What'S the most important thing to remember about charts you'll see on the GRE?
(a-b)²
Opens up
(x+y)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.

25. What is the factored version of (x+y)(x-y) ?
?r²
An ange whose vertex is the center of the circle
Bh
x²-y²

26. What is the length of an arc?
(n degrees/360) * 2(pi)r
Middle term
2(lw+wh+lh)
(y2-y1)/(x2-x1)

27. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
The distance across the circle through the center of the circle.The diameter is twice the radius.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
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.
Probability A * Probability B

28. What is the area of a triangle?
Probability A + Probability B
1/2bh
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
A segment connecting the center of a circle to any point on the circle

29. In a coordinate system - identify the quadrants and describe their location.
(0 -0)
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
b±[vb²-4ac]/2a
Equal

30. What is directly proportional?
y = kx
Pir^2h
1/3Bh
Total distance/total time

31. Perimeter of polygon
(a-b)²
(x-y)²
(0 -0)
Sum of the lengths of the sides

32. What is a '30:60:90' triangle?
(y2-y1)/(x2-x1)
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Ac+ad+bc+bd
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

33. Central Angle
A=bh
1/2bh
An ange whose vertex is the center of the circle
x°/360 times (?r²) - where x is the degrees in the angle

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

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35. Slope
Percentage Change = Difference/Original * 100
4s (where s = length of a side)
Arrangements - orders - schedules - or lists.
(y2-y1)/(x2-x1)

36. Area of a trapezoid
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
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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
b±[vb²-4ac]/2a

37. Perimeter of rectangle
?r²
2l+2w
Pi*d
Last term

38. Rough est. of v2 =
Ac+ad+bc+bd
Arrangements - orders - schedules - or lists.
x²-y²
1.4

39. Chord
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=bh
(x1+x2)/2 - (y1+y2)/2
The distance from one point on the circle to another point on the circle.

40. If something is certain to happen - how is the probability of this event expressed mathematically?
2l+2w
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
1/1
y-y1=m(x-x1)

41. Surface Area of Sphere
Sum of terms/number of terms
(pi)r^2(h)
A+b
4pir^2

42. 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)
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Ac+ad+bc+bd

43. In a parabola - if the first term is positive - the parabola ________.
(y2-y1)/(x2-x1)
The total # of possible outcomes.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Opens up

44. What do permutation problems often ask for?
y2-y1/x2-x1
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
2(pi)r
Arrangements - orders - schedules - or lists.

45. How do you multiply powers with the same base?
Opens down
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
N x M
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.

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

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47. Volume of sphere
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.
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.
4/3pir^3
Lw

48. When a line crosses two parallel lines - ________.
A=?r2
The four big angles are equal and the four small angles are equal
Bh
(y-y1)=m(x-x1)

49. How do you find the nth term of an arithmetic sequence?
T1 + (n-1)d
S^2
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
S*v2

50. When you reverse FOIL - the term that needs to multiply out is the _____
2(pi)r(r+h)
2lw+2lh+2wh
Last term
(x+y)²