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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. Slope
Pi*r^2
(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.
Ac+ad+bc+bd

2. What is the average?
Sum of terms/number of terms
b±[vb²-4ac]/2a
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.

3. Define the formula for calculating slope.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
2x2x2x5x5
1/2bh
x²-y²

4. Surface Area of Sphere
Order does matter for a permutation - but does not matter for a combination.
4pir^2
Total distance/total time
4s (where s = length of a side)

5. Volume of Cylinder
Percentage Change = Difference/Original * 100
(a+b)²
2pi*r
Pir^2h

6. What is the equation of a line?

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7. In a coordinate system - identify the quadrants and describe their location.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
½(base x height) [or (base x height)÷2]
(a+b)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'.

8. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
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.
Opens down
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1/2bh

9. a² - b² is equal to
Opens up
(a+b)(a-b)
2(lw+wh+lh)
y = k/x

10. Area of a square
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
S² - where s = length of a side
4s
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.

11. Perimeter (circumference) of a circle
2(pi)r(r+h)
1. Given event A: A + notA = 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.
2 pi r

12. Define 'proportionate' values
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
1/2 h (b1 + b2)
An ange whose vertex is the center of the circle
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.

13. Chord
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.
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.
2lw+2lh+2wh

14. What is the surface area of a cylinder?
(a-b)(a²+ab+b²)
y = k/x
2x2x2x5x5
2(pi)r(r+h)

15. What is the volume of a cylinder?
(pi)r^2(h)
2lw+2lh+2wh
x² -2xy + y²
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

16. Surface Area of Cylinder
2pir^2 + 2pir*h
1. Given event A: A + notA = 1.
S² - where s = length of a side
x² + 2xy + y²

17. For a bell curve - what three terms might be used to describe the number in the middle?
The average - mean - median - or mode.
Sum of terms/number of terms
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.
C =?d

18. Volume of pyramid
A=?r2
1/3Bh
(n degrees/360) * 2(pi)r
(n/2) * (t1+tn)

19. What is the sum of the inside angles of an n-sided polygon?
(n degrees/360) * (pi)r^2
(n-2)180
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Between 0 and 1.

20. What is the volume of a solid rectangle?
Lwh
y2-y1/x2-x1
1
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.

21. Explain the special properties of zero.
Probability A + Probability B
y = kx
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.
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.

22. How do you multiply and divide square roots?
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
(x1+x2)/2 - (y1+y2)/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.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

23. What is the length of an arc?
?r²
(n degrees/360) * 2(pi)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.
1/x^a

24. x^-a =
1/x^a
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'.
A+b
x°/360 times (2 pi r) - where x is the degrees in the angle

25. What is a 'Right isosceles' triangle?
Opens down
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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(a-b)(a²+ab+b²)

26. How do you calculate a diagonal inside a 3-dimensional rectangular box?
(a+b)(a²-ab+b²)
1/x^a
x°/360 times (2 pi r) - where x is the degrees in the angle
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

27. Arc
½(b1 +b2) x h [or (b1 +b2) x h÷2]
1/x^a
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.
Part of a circle connecting two points on the circle.

28. The probability of an event happening and the probability of an event NOT happening must add up to what number?
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
C =?d
2 pi r
1. Given event A: A + notA = 1.

29. What is the formula for the diagonal of any square?
Last term
A=bh
S*v2
x²-y²

30. Perimeter of rectangle
The distance from one point on the circle to another point on the circle.
2l+2w
(y2-y1)/(x2-x1)
Order does matter for a permutation - but does not matter for a combination.

31. In a parabola - if the first term is positive - the parabola ________.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
1/2 h (b1 + b2)
Opens up
C =?d

32. Circumference Formula
x°/360 times (?r²) - where x is the degrees in the angle
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(y2-y1)/(x2-x1)
C =?d

33. (a+b)(a-b)=
A²-b²
Opens up
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.
Sum of the lengths of the sides

34. What do combination problems usually ask for?
2(pi)r(r+h)
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.
Sum of the lengths of the sides
Groups - teams - or committees.

35. Area of a sector
Not necessarily. This is a trick question - because x could be either positive or negative.
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.
An ange whose vertex is the center of the circle
x°/360 times (?r²) - where x is the degrees in the angle

36. Area of a circle
4s
(n/2) * (t1+tn)
?r²
(n-2)180

37. What is the 'distributive law'?
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.
Pi*d
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.
(x+y)(x-y)

38. The length of one side of any triangle is ____ than the sum of the other two sides.
Less
(x1+x2)/2 - (y1+y2)/2
1.7
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.

39. What is directly proportional?
C =?d
y = kx
(a-b)(a+b)
½(base x height) [or (base x height)÷2]

40. What is the area of a solid rectangle?
2(lw+wh+lh)
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.
(a-b)(a+b)
(a+b)(a²-ab+b²)

41. Area of Circles
(a+b)²
A=?r2
(pi)r^2(h)
1/2bh

42. What is the point-slope form?
(y-y1)=m(x-x1)
Number of desired outcomes/number of total outcomes
(a-b)(a²+ab+b²)
x² + 2xy + y²

43. Perimeter of a square
Probability A * Probability B
1. Given event A: A + notA = 1.
Arrangements - orders - schedules - or lists.
4s (where s = length of a side)

44. Circumference of cirlce using diameter
S^2
?d OR 2?r
The four big angles are equal and the four small angles are equal
Pi*d

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

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46. How do you solve a permutation?
The total # of possible outcomes.
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
(a+b)²
(x+y)²

47. What is the unfactored version of x²-y² ?
(n degrees/360) * 2(pi)r
1/3Bh
2pi*r
(x+y)(x-y)

48. If x² = 144 - does v144 = x?
A+b
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.
Bh
Not necessarily. This is a trick question - because x could be either positive or negative.

49. a³-b³
(a-b)(a²+ab+b²)
2(pi)r(r+h)
Lw
?r²

50. How do you find the midpoint?
(pi)r^2(h)
Percentage Change = Difference/Original * 100
(x1+x2)/2 - (y1+y2)/2
(a-b)(a²+ab+b²)

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GRE Math 2

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