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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. When you reverse FOIL - the term that needs to multiply out is the _____
x°/360 times (2 pi r) - where x is the degrees in the angle
Last term
1.4
A segment connecting the center of a circle to any point on the circle

2. perimeter of square
4s
A²-b²
(pi)r^2(h)
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'.

3. Circumference of a circle using radius
2pi*r
Not necessarily. This is a trick question - because x could be either positive or negative.
1. Given event A: A + notA = 1.
Pir^2h

4. Volume of Cylinder
Pir^2h
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.
(pi)r^2(h)
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

5. What is the average speed?
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.
Groups - teams - or committees.
Total distance/total time
Opens down

6. What is the area of a triangle?
y = kx
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.
(a+b)²
1/2bh

7. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
Arrangements - orders - schedules - or lists.
(0 -0)
T1 + (n-1)d
Probability A + Probability B

8. Perimeter of a rectangle
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.
T1 + (n-1)d
2lw+2lh+2wh
2Length + 2width [or (length + width) x 2]

9. What is the 'distributive law'?
T1 + (n-1)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.
1.4
x°/360 times (2 pi r) - where x is the degrees in the angle

10. Define the median of a set of numbers - and how to find it for an odd and even number of values in a set.

11. What do permutation problems often ask for?
Arrangements - orders - schedules - or lists.
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
The four big angles are equal and the four small angles are equal
Sum of the lengths of the sides

12. If something is certain to happen - how is the probability of this event expressed mathematically?
1/1
A=bh
(a-b)²
b±[vb²-4ac]/2a

13. What is the factored version of (x+y)(x-y) ?
(n degrees/360) * (pi)r^2
(n/2) * (t1+tn)
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.
x²-y²

14. How do you calculate the surface area of a rectangular box?
Groups - teams - or committees.
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.
Number of desired outcomes/number of total outcomes

15. What is the area of a solid rectangle?
Order does matter for a permutation - but does not matter for a combination.
2(lw+wh+lh)
2l+2w
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.

16. Area of Rectangle
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
Lw
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.
4s (where s = length of a side)

17. Volume of pyramid
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

18. How do you solve a permutation?
Not necessarily. This is a trick question - because x could be either positive or negative.
A segment connecting the center of a circle to any point on the circle
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
2(pi)r(r+h)

19. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
Groups - teams - or committees.
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.
2Length + 2width [or (length + width) x 2]

20. How do you calculate the probability of two events in a row? (Probability of A and B)
Bh
(pi)r^2(h)
Probability A * Probability B
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.

21. What is the area of a sector?
Bh
Middle term
(n degrees/360) * (pi)r^2
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

22. Area of a triangle
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.
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]
The set of points which are all the same distance (the radius) from a certain point (the center).

23. Circumference of a circle
Percentage Change = Difference/Original * 100
(n degrees/360) * (pi)r^2
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
?d OR 2?r

24. In intersecting lines - opposite angles are _____.
2pi*r
Equal
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.
Ac+ad+bc+bd

25. What is the point-slope form?
(y-y1)=m(x-x1)
(n/2) * (t1+tn)
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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

26. What is the probability?
Number of desired outcomes/number of total outcomes
?d OR 2?r
Probability A + Probability B
Between 0 and 1.

27. The length of one side of any triangle is ____ than the sum of the other two sides.
1.4
Percentage Change = Difference/Original * 100
2(pi)r
Less

28. How do you find the sum of an arithmetic sequence?
(n/2) * (t1+tn)
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(n degrees/360) * (pi)r^2
y-y1=m(x-x1)

29. What is the unfactored version of x²-y² ?
Equal
4/3pir^3
Bh
(x+y)(x-y)

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

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

32. Circumference Formula
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.
1/1
C =?d
(y-y1)=m(x-x1)

33. What is the unfactored version of (x-y)² ?
The average - mean - median - or mode.
x² -2xy + y²
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
T1 * r^(n-1)

34. 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.
?r²
4pir^2
An ange whose vertex is the center of the circle

35. If x² = 144 - does v144 = x?
C =?d
The average - mean - median - or mode.
Not necessarily. This is a trick question - because x could be either positive or negative.
Sqr( x2 -x1) + (y2- y1)

36. Radius (Radii)
A segment connecting the center of a circle to any point on 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.
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.
(n degrees/360) * (pi)r^2

37. What is the volume of a solid rectangle?
S*v2
Sqr( x2 -x1) + (y2- y1)
Lwh
(n degrees/360) * 2(pi)r

38. What is the surface area of a cylinder?
1.7
2(pi)r(r+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.
1/2 h (b1 + b2)

39. Point-Slope form
(a-b)(a²+ab+b²)
A²-b²
y-y1=m(x-x1)
Equal

40. What is the side ratio for a 30:60:90 triangle?
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.
(n-2)180
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Lwh

41. Surface Area of rectangular prism
x°/360 times (?r²) - where x is the degrees in the angle
y = kx
2pi*r
2lw+2lh+2wh

42. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
y = kx
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
2l+2w

43. Perimeter (circumference) of a circle
2 pi r
A²-b²
y = k/x
1

44. What is the side ratio for a Right Isosceles triangle?
x² + 2xy + y²
2(pi)r(r+h)
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
(y-y1)=m(x-x1)

45. What is the equation of a line?

46. Surface Area of Cylinder
2(pi)r(r+h)
x°/360 times (2 pi r) - where x is the degrees in the angle
2pir^2 + 2pir*h
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.

47. When a line crosses two parallel lines - ________.
Percentage Change = Difference/Original * 100
Part of a circle connecting two points on the circle.
The four big angles are equal and the four small angles are equal
Bh

48. What is the 'Third side' rule for triangles?
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.
The average - mean - median - or mode.
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.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

49. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
N x M
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.
?d OR 2?r
x² -2xy + y²

50. Volume of prism
Bh
y = k/x
b±[vb²-4ac]/2a
1/2bh