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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. What do combination problems usually ask for?
1/2bh
2(lw+wh+lh)
(pi)r^2(h)
Groups - teams - or committees.

2. Slope
(y2-y1)/(x2-x1)
1
C =?d
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

3. What is the factored version of x² -2xy + y² ?
(x-y)²
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.
Sum of terms/number of terms
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.

4. What is directly proportional?
y = kx
y2-y1/x2-x1
Probability A * Probability B
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.

5. What is the unfactored version of (x+y)² ?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
x² + 2xy + y²
Probability A + Probability B
T1 + (n-1)d

6. Rough est. of v1 =
1
1/2bh
Sqr( x2 -x1) + (y2- y1)
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.

7. In intersecting lines - opposite angles are _____.
T1 + (n-1)d
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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
Equal

8. Rough est. of v3 =
(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'.
1/3Bh
1.7

9. Area of Triangle
1/2bh
(x+y)²
Equal
(a-b)(a+b)

10. Volume of Cone
(a+b)(a-b)
?r²
1/3pir^2*h
½(base x height) [or (base x height)÷2]

11. What do permutation problems often ask for?
Arrangements - orders - schedules - or lists.
Total distance/total time
1/2 h (b1 + b2)
Less

12. How do you calculate the probability of two events in a row? (Probability of A and B)
S² - where s = length of a side
x²-y²
Probability A * Probability B
1/3Bh

13. In a parabola - if the first term is negative - the parabola ________.
(x+y)(x-y)
1.7
Opens down
S*v2

14. What is the factored version of x² + 2xy + y² ?
4pir^2
2Length + 2width [or (length + width) x 2]
(x+y)²
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

15. Area of a triangle
y2-y1/x2-x1
½(base x height) [or (base x height)÷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.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

16. Area of Square
(x+y)²
S^2
Last term
4s (where s = length of a side)

17. Area of Trapezoid
1/2 h (b1 + b2)
Probability A + Probability B
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.
Sqr( x2 -x1) + (y2- y1)

18. How do you find the nth term of an arithmetic sequence?
4s (where s = length of a side)
T1 + (n-1)d
(n degrees/360) * (pi)r^2
Number of desired outcomes/number of total outcomes

19. (a+b)(c+d)
Probability A * Probability B
1/2bh
Ac+ad+bc+bd
(y2-y1)/(x2-x1)

20. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
The average - mean - median - or mode.
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.
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)(a-b)

21. Volume of sphere
?r²
4/3pir^3
S^2
Lwh

22. How do you solve a permutation?
x°/360 times (?r²) - where x is the degrees in the angle
A+b
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
T1 * r^(n-1)

23. Arc
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.
Part of a circle connecting two points on the circle.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Pir^2h

24. What is the area of a circle?
1/2 h (b1 + b2)
(n-2)180
(pi)r^2
An ange whose vertex is the center of the circle

25. Define a factorial of a number - and how it is written.
2pir^2 + 2pir*h
S*v2
Bh
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.

26. What is the factored version of (x+y)(x-y) ?
The average - mean - median - or mode.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
S^2
x²-y²

27. What number goes on the bottom of a probability fraction?
Ac+ad+bc+bd
The total # of possible outcomes.
T1 * r^(n-1)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

28. What is the length of an arc?
2pir^2 + 2pir*h
Groups - teams - or committees.
(n degrees/360) * 2(pi)r
2(pi)r(r+h)

29. If x² = 144 - does v144 = x?
Not necessarily. This is a trick question - because x could be either positive or negative.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Ac+ad+bc+bd
2 pi r

30. To divide powers with the same base...
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.
y2-y1/x2-x1
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Probability A + Probability B

31. Lines reflected over the x or y axis have ____ slopes.
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.
Pi*d
Negative

32. What is the equation of a line?

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33. Circumference of a circle using radius
2pi*r
Lwh
(y-y1)=m(x-x1)
Pi*r^2

34. Radius (Radii)
Negative
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.
A segment connecting the center of a circle to any point on the circle
(a-b)(a+b)

35. 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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36. Volume of prism
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
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.
Bh

37. 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.
Bh
Equal
4pir^2

38. What is the area of a sector?
(0 -0)
(n degrees/360) * (pi)r^2
1/1
(x-y)²

39. Area of a square
(n-2)180
The average - mean - median - or mode.
S² - where s = length of a side
x°/360 times (?r²) - where x is the degrees in the angle

40. How do you find the midpoint?
(x1+x2)/2 - (y1+y2)/2
Pi*d
Middle term
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

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

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42. In a coordinate system - what is the origin?
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.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Percentage Change = Difference/Original * 100
(0 -0)

43. x^a * x^b = x^__
Sqr( x2 -x1) + (y2- y1)
A+b
1/1
2pi*r

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

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45. Perimeter of a rectangle
1/3pir^2*h
2pir^2 + 2pir*h
2Length + 2width [or (length + width) x 2]
Between 0 and 1.

46. Area of Circle
Less
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.
2l+2w
Pi*r^2

47. What is the side ratio for a Right Isosceles triangle?
1.4
y = kx
x°/360 times (2 pi r) - where x is the degrees in the angle
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

48. Circumference of a circle
(a+b)²
Total distance/total time
?d OR 2?r
Opens down

49. Perimeter of polygon
The average - mean - median - or mode.
Sum of the lengths of the sides
Probability A + Probability B
Less

50. Surface Area of rectangular prism
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
2lw+2lh+2wh
(x-y)²
1/2 h (b1 + b2)