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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. Perimeter of rectangle
2l+2w
1/2bh
1/x^a
1/3pir^2*h

2. 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.
1/3Bh
y-y1=m(x-x1)
1/2bh

3. Volume of sphere
4/3pir^3
Lwh
2(pi)r
The average - mean - median - or mode.

4. What is the circumference of a circle?
2(pi)r
1/x^a
(a+b)(a-b)
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

5. What is the unfactored version of x²-y² ?
2(pi)r(r+h)
(x+y)(x-y)
2(lw+wh+lh)
A=?r2

6. If something is possible but not certain - what is the numeric range of probability of it happening?
1.7
Last term
Between 0 and 1.
2 pi r

7. Perimeter of polygon
Sum of the lengths of the sides
T1 * r^(n-1)
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Sum of terms/number of terms

8. Does order matter for a permutation? How about for a combination?
Order does matter for a permutation - but does not matter for a combination.
Sum of terms/number of terms
1.4
2(lw+wh+lh)

9. What is 'absolute value' - and how is it represented?

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10. Explain a method for quickly comparing fractions with different denominators - to determine which is larger.

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11. What is the area of a sector?
(a-b)²
(n degrees/360) * (pi)r^2
S*v2
Probability A * Probability B

12. Slope
(a-b)(a²+ab+b²)
?d OR 2?r
(y2-y1)/(x2-x1)
Order does matter for a permutation - but does not matter for a combination.

13. a³-b³
(a-b)(a²+ab+b²)
Lw
y = k/x
?d OR 2?r

14. Area of a trapezoid
1/2 h (b1 + b2)
Arrangements - orders - schedules - or lists.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Equal

15. Chord
The distance from one point on the circle to another point on the circle.
Sum of terms/number of terms
1/2 h (b1 + b2)
2 pi r

16. Area of a sector
Less
x°/360 times (?r²) - where x is the degrees in the angle
x²-y²
1/x^a

17. Perimeter of a rectangle
Probability A + Probability B
Order does matter for a permutation - but does not matter for a combination.
(x1+x2)/2 - (y1+y2)/2
2Length + 2width [or (length + width) x 2]

18. How do you multiply powers with the same base?
(x+y)(x-y)
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
x°/360 times (2 pi r) - where x is the degrees in the angle
1/3pir^2*h

19. Define the range of a set of numbers.
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.
1. Given event A: A + notA = 1.
1.7
4s (where s = length of a side)

20. What is the side ratio for a 30:60:90 triangle?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
y-y1=m(x-x1)
x² + 2xy + y²

21. Define the 'Third side' rule for triangles

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22. What do combination problems usually ask for?
Negative
4s (where s = length of a side)
Groups - teams - or committees.
S^2

23. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
4s (where s = length of a side)
Bh
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
Last term

24. When you reverse FOIL - the term that needs to multiply out is the _____
Last term
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.
(y2-y1)/(x2-x1)
Bh

25. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
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.
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.
Bh
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

26. Define a factorial of a number - and how it is written.
(n-2)180
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.
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.
4pir^2

27. Define the mode of a set of numbers.
1/3pir^2*h
1.7
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+b)(a-b)

28. a³+b³
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)(a²-ab+b²)
y-y1=m(x-x1)
4s

29. Area of Rectangle
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
S*v2
2(lw+wh+lh)
Lw

30. In a coordinate system - identify the quadrants and describe their location.
Lw
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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
A=?r2

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

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32. Volume of Cone
Sqr( x2 -x1) + (y2- y1)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
1/1
1/3pir^2*h

33. How do you calculate the surface area of a rectangular box?
b±[vb²-4ac]/2a
1/3pir^2*h
Bh
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.

34. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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.
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.
Middle term
4/3pir^3

35. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
1/3Bh
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
2(pi)r(r+h)

36. Point-Slope form
1.7
y-y1=m(x-x1)
Sqr( x2 -x1) + (y2- y1)
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.

37. What is the side ratio for a Right Isosceles triangle?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
2l+2w
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

38. Explain the special properties of zero.
Probability A * Probability B
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 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.
Groups - teams - or committees.

39. What is an 'equilateral' triangle?
Lwh
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Pir^2h
?d OR 2?r

40. Perimeter of a square
4s (where s = length of a side)
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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
Groups - teams - or committees.

41. Arc
Part of a circle connecting two points on the circle.
4s
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
x°/360 times (2 pi r) - where x is the degrees in the angle

42. Radius (Radii)
A segment connecting the center of a circle to any point on the circle
(a+b)²
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
1/3Bh

43. In a parabola - if the first term is positive - the parabola ________.
1/3pir^2*h
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.
Total distance/total time
Opens up

44. Volume of pyramid
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.
Pir^2h
1/3Bh
The distance across the circle through the center of the circle.The diameter is twice the radius.

45. How do you find the midpoint?
(x1+x2)/2 - (y1+y2)/2
y-y1=m(x-x1)
(a+b)(a²-ab+b²)
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.

46. Central Angle
The average - mean - median - or mode.
An ange whose vertex is the center of the circle
4/3pir^3
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.

47. Circle
A segment connecting the center of a circle to any point on the circle
2(pi)r
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 set of points which are all the same distance (the radius) from a certain point (the center).

48. In a parabola - if the first term is negative - the parabola ________.
4s
(a+b)(a²-ab+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.
Opens down

49. To divide powers with the same base...
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
1/x^a
½(b1 +b2) x h [or (b1 +b2) x h÷2]
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.

50. Sector
(a+b)²
(x+y)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.
1/2bh