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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 a rectangle
Arrangements - orders - schedules - or lists.
y = k/x
2Length + 2width [or (length + width) x 2]
x°/360 times (2 pi r) - where x is the degrees in the angle

2. What is the point-slope form?
(a+b)(a-b)
An ange whose vertex is the center of the circle
(y-y1)=m(x-x1)
Bh

3. Circumference of cirlce using diameter
Less
Pi*r^2
Pi*d
An ange whose vertex is the center of the circle

4. Arc
Part of a circle connecting two points on the circle.
(pi)r^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.
A²-b²

5. Define the 'Third side' rule for triangles

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6. Area of a triangle
Arrangements - orders - schedules - or lists.
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.
½(base x height) [or (base x height)÷2]
1/2bh

7. Circumference of a circle
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
T1 * r^(n-1)
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.
?d OR 2?r

8. Circumference Formula
A+b
Middle term
Sum of terms/number of terms
C =?d

9. What is the volume of a solid rectangle?
The distance across the circle through the center of the circle.The diameter is twice the radius.
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.
Lwh

10. Diameter
(a-b)(a+b)
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.
The distance across the circle through the center of the circle.The diameter is twice the radius.
Less

11. How do you calculate a diagonal inside a 3-dimensional rectangular box?
y2-y1/x2-x1
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
(x1+x2)/2 - (y1+y2)/2
(a-b)²

12. Explain the difference between a digit and a number.

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

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14. When you reverse FOIL - the term that needs to add out is the _____
(a-b)(a²+ab+b²)
T1 * r^(n-1)
Middle term
4s

15. What is the volume of a cylinder?
(y2-y1)/(x2-x1)
Pi*d
Negative
(pi)r^2(h)

16. What is the area of a circle?
(pi)r^2
1/3Bh
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.
(a+b)(a-b)

17. For a bell curve - what three terms might be used to describe the number in the middle?
Less
An ange whose vertex is the center of the circle
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
The average - mean - median - or mode.

18. What is the 'Third side' rule for triangles?
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(x+y)(x-y)
A+b
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.

19. What is the area of a cylinder?
The total # of possible outcomes.
2(pi)r(r+h)
Arrangements - orders - schedules - or lists.
Sum of the lengths of the sides

20. In intersecting lines - opposite angles are _____.
Equal
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
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(h)

21. Define the formula for calculating slope.
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
(y2-y1)/(x2-x1)
Lw
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

22. How do you multiply and divide square roots?
1/3pir^2*h
Sum of the lengths of the sides
Sqr( x2 -x1) + (y2- y1)
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

23. 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.
A segment connecting the center of a circle to any point on the circle
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.
(a-b)(a+b)

24. Area of a square
Sum of the lengths of the sides
S² - where s = length of a side
Probability A + Probability B
1/2bh

25. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
C =?d
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.
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.
4s

26. What is the area of a triangle?
1/2bh
S^2
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)(a²-ab+b²)

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

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28. Area of Rectangle
1/3Bh
Lw
S² - where s = length of a side
2(lw+wh+lh)

29. Radius (Radii)
Bh
A segment connecting the center of a circle to any point on the circle
The distance from one point on the circle to another point on the circle.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

30. What is directly proportional?
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Total distance/total time
y = kx
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'.

31. How do you calculate the percentage of change?
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.
Percentage Change = Difference/Original * 100
T1 + (n-1)d
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

32. What is the area of a sector?
(n degrees/360) * (pi)r^2
1/x^a
2(pi)r(r+h)
T1 * r^(n-1)/(r-1)

33. What is the factored version of (x+y)(x-y) ?
?d OR 2?r
x²-y²
A+b
y = k/x

34. How do you find the sum of a geometric sequence?
The distance across the circle through the center of the circle.The diameter is twice the radius.
T1 * r^(n-1)/(r-1)
Sqr( x2 -x1) + (y2- y1)
x² -2xy + y²

35. What is the probability?
Total distance/total time
Number of desired outcomes/number of total outcomes
N x M
(a+b)(a²-ab+b²)

36. x^a * x^b = x^__
2pi*r
Sum of terms/number of terms
A+b
Order does matter for a permutation - but does not matter for a combination.

37. How do you find the nth term of a geometric sequence?
T1 * r^(n-1)
x²-y²
?r²
1/3pir^2*h

38. a² - b² is equal to
The four big angles are equal and the four small angles are equal
(n degrees/360) * 2(pi)r
(a+b)(a-b)
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

39. Define the mode of a set of numbers.
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.
1/2 h (b1 + b2)
1/x^a
The distance from one point on the circle to another point on the circle.

40. What is the surface area of a cylinder?
Pi*d
y-y1=m(x-x1)
1/3pir^2*h
2(pi)r(r+h)

41. When you reverse FOIL - the term that needs to multiply out is the _____
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.
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.
Last term

42. Explain the special properties of zero.
x²-y²
Opens down
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.
Bh

43. Define the range of a set of numbers.
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.
(n/2) * (t1+tn)
A+b

44. What is the distance formula?
(a-b)(a²+ab+b²)
Sqr( x2 -x1) + (y2- y1)
1
(a-b)²

45. If something is possible but not certain - what is the numeric range of probability of it happening?
Negative
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.
N x M
Between 0 and 1.

46. Rough est. of v1 =
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
(a-b)²
Less

47. How do you multiply powers with the same base?
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.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
1/2bh
Groups - teams - or committees.

48. The length of one side of any triangle is ____ than the sum of the other two sides.
T1 + (n-1)d
y-y1=m(x-x1)
y = kx
Less

49. How do you solve a permutation?
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
(n/2) * (t1+tn)
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.
(x1+x2)/2 - (y1+y2)/2

50. If x² = 144 - does v144 = x?
Lwh
Not necessarily. This is a trick question - because x could be either positive or negative.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Number of desired outcomes/number of total outcomes