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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. length of a sector
The distance across the circle through the center of the circle.The diameter is twice the radius.
x°/360 times (2 pi r) - where x is the degrees in the angle
(x1+x2)/2 - (y1+y2)/2
4pir^2

2. When you reverse FOIL - the term that needs to multiply out is the _____
Pi*r^2
Last term
Percentage Change = Difference/Original * 100
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.

3. a²+2ab+b²
Bh
(a+b)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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

4. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
N x M
(pi)r^2(h)
(x+y)²
(0 -0)

5. x^a * x^b = x^__
A+b
The distance across the circle through the center of the circle.The diameter is twice the radius.
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.
A=bh

6. Area of Parallelogram
1/2bh
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.
Bh
A=?r2

7. a³-b³
(a-b)(a²+ab+b²)
2pir^2 + 2pir*h
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.
A=bh

8. What is directly proportional?
y = kx
A+b
The distance from one point on the circle to another point on the circle.
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.

9. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or 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.
Percentage Change = Difference/Original * 100
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.

10. 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.
1
Last term
The total # of possible outcomes.

11. Circumference of cirlce using diameter
T1 + (n-1)d
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Number of desired outcomes/number of total outcomes
Pi*d

12. What is the volume of a solid rectangle?
Lwh
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
4pir^2
1.4

13. Circle
1/2 h (b1 + b2)
The set of points which are all the same distance (the radius) from a certain point (the center).
Between 0 and 1.
Pir^2h

14. How do you multiply powers with the same base?
1/2bh
Sum of the lengths of the sides
N x M
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

15. What is the unfactored version of (x-y)² ?
Less
x°/360 times (?r²) - where x is the degrees in the angle
Pi*r^2
x² -2xy + y²

16. Area of a circle
?r²
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.
2l+2w
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.

17. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
y = kx
x°/360 times (2 pi r) - where x is the degrees in the angle
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.
2(pi)r(r+h)

18. Circumference of a circle using radius
Pi*r^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.
2pi*r
(x-y)²

19. What is the side ratio for a Right Isosceles triangle?
Negative
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Lw

20. Area of a trapezoid
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Middle term
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.
(x1+x2)/2 - (y1+y2)/2

21. What is the area of a solid rectangle?
1/3Bh
Groups - teams - or committees.
2(lw+wh+lh)
x² -2xy + y²

22. What is the circumference of a circle?
(a-b)(a²+ab+b²)
T1 * r^(n-1)
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.
2(pi)r

23. How do you calculate the surface area of a rectangular box?
Order does matter for a permutation - but does not matter for a combination.
2lw+2lh+2wh
y2-y1/x2-x1
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.

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

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25. How do you find the nth term of a geometric sequence?
The set of points which are all the same distance (the radius) from a certain point (the center).
(x+y)(x-y)
T1 * r^(n-1)
1/2bh

26. What is the length of an arc?
2pir^2 + 2pir*h
(n degrees/360) * 2(pi)r
Negative
The four big angles are equal and the four small angles are equal

27. In a coordinate system - what is the origin?
(0 -0)
S*v2
1
Opens down

28. What is the area of a circle?
(pi)r^2
Sum of terms/number of terms
Pi*r^2
1

29. Circumference of a circle
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.
2x2x2x5x5
1/3pir^2*h
?d OR 2?r

30. Area of Rectangle
Sqr( x2 -x1) + (y2- y1)
The average - mean - median - or mode.
(a+b)(a²-ab+b²)
Lw

31. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
½(base x height) [or (base x height)÷2]
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
A=?r2

32. Area of rectangle - square - parallelogram
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.
A=bh
x²-y²
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.

33. Lines reflected over the x or y axis have ____ slopes.
Negative
y-y1=m(x-x1)
(pi)r^2
y2-y1/x2-x1

34. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
(a-b)(a+b)
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
Pi*d

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

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36. What is the equation of a line?

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37. If something is certain to happen - how is the probability of this event expressed mathematically?
1/1
Percentage Change = Difference/Original * 100
x²-y²
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.

38. What is the unfactored version of (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.
x² + 2xy + y²
Ac+ad+bc+bd
2lw+2lh+2wh

39. Volume of sphere
1
4pir^2
4/3pir^3
2 pi r

40. Define the 'Third side' rule for triangles

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41. In intersecting lines - opposite angles are _____.
4s (where s = length of a side)
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.
Equal
Probability A + Probability B

42. x^-a =
(y-y1)=m(x-x1)
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/x^a
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

43. How do you multiply and divide square roots?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
2Length + 2width [or (length + width) x 2]
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.
1/3pir^2*h

44. Area of a sector
4pir^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.
x°/360 times (?r²) - where x is the degrees in the angle
(a+b)(a-b)

45. Area of Circle
1/3Bh
x²-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.
Pi*r^2

46. Perimeter of polygon
Sum of the lengths of the sides
A=?r2
Equal
x²-y²

47. What is a 'Right isosceles' triangle?
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.
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.
1/2 h (b1 + b2)
x°/360 times (2 pi r) - where x is the degrees in the angle

48. What is the distance formula?
Ac+ad+bc+bd
Sqr( x2 -x1) + (y2- y1)
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.
2(pi)r

49. Volume of pyramid
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
4/3pir^3
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.
1/3Bh

50. What is the surface area of a cylinder?
Bh
2(pi)r(r+h)
1/3Bh
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.