Test your basic knowledge |

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 is the area of a circle?
(pi)r^2
Pir^2h
Negative
2l+2w

2. Volume of sphere
Not necessarily. This is a trick question - because x could be either positive or negative.
4/3pir^3
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.
1/2bh

3. How do you calculate a diagonal inside a 3-dimensional rectangular box?
½(base x height) [or (base x height)÷2]
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
2lw+2lh+2wh
The distance across the circle through the center of the circle.The diameter is twice the radius.

4. length of a sector
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
The set of points which are all the same distance (the radius) from a certain point (the center).
x² -2xy + y²
x°/360 times (2 pi r) - where x is the degrees in the angle

5. What is the 'Third side' rule for triangles?
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.
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.
4/3pir^3
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.

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

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

7. Circumference of a circle
?d OR 2?r
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. Given event A: A + notA = 1.
S*v2

8. To divide powers with the same base...
Sum of terms/number of terms
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Lw
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

9. How do you calculate the percentage of change?
Between 0 and 1.
Percentage Change = Difference/Original * 100
1/2bh
(x-y)²

10. What is the distance formula?
Sqr( x2 -x1) + (y2- y1)
x² + 2xy + y²
Total distance/total time
C =?d

11. If something is possible but not certain - what is the numeric range of probability of it happening?
1/3pir^2*h
Between 0 and 1.
(x-y)²
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.

12. (a+b)(a-b)=
y = k/x
Probability A * Probability B
A²-b²
A=bh

13. What is the average?
Opens down
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
(n/2) * (t1+tn)
Sum of terms/number of terms

14. What is the circumference of a circle?
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.
2(pi)r
?r²
Number of desired outcomes/number of total outcomes

15. What is the unfactored version of (x-y)² ?
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.
x² -2xy + y²
?d OR 2?r
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. Quadratic Formula
1/1
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
b±[vb²-4ac]/2a
Last term

17. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
(0 -0)
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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
Probability A + Probability B

18. How do you find the nth term of an arithmetic sequence?
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.
T1 + (n-1)d
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
The average - mean - median - or mode.

19. Circumference Formula
Negative
(x1+x2)/2 - (y1+y2)/2
C =?d
Pi*d

20. How do you find the nth term of a geometric sequence?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
2lw+2lh+2wh
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
T1 * r^(n-1)

21. What is the probability?
(a-b)²
?d OR 2?r
Number of desired outcomes/number of total outcomes
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

22. How do you find the sum of a geometric sequence?
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.
T1 * r^(n-1)/(r-1)
y = kx
1/2bh

23. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
(y-y1)=m(x-x1)
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. Given event A: A + notA = 1.
4pir^2

24. What is an 'equilateral' triangle?
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Negative
A=?r2

25. a³-b³
Ac+ad+bc+bd
(n degrees/360) * 2(pi)r
(a-b)(a²+ab+b²)
4s (where s = length of a side)

26. x^a * x^b = x^__
A+b
½(b1 +b2) x h [or (b1 +b2) x h÷2]
2pir^2 + 2pir*h
x² -2xy + y²

27. Volume of Cone
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.
1/3pir^2*h
1.7
4/3pir^3

28. Area of rectangle - square - parallelogram
A+b
S² - where s = length of a side
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
A=bh

29. a³+b³
Part of a circle connecting two points on the circle.
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
(a+b)(a²-ab+b²)
2 pi r

30. a² - b² is equal to
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)
1/x^a
Bh

31. Circle
y = kx
Sqr( x2 -x1) + (y2- y1)
The set of points which are all the same distance (the radius) from a certain point (the center).
(pi)r^2

32. What is the equation of a line?

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

33. Define the 'Third side' rule for triangles

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

34. Point-Slope form
x°/360 times (?r²) - where x is the degrees in the angle
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.
y2-y1/x2-x1
y-y1=m(x-x1)

35. In intersecting lines - opposite angles are _____.
4/3pir^3
Pi*r^2
Equal
Order does matter for a permutation - but does not matter for a combination.

36. Arc
Part of a circle connecting two points 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.
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'.
(n-2)180

37. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
y2-y1/x2-x1
Ac+ad+bc+bd
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
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.

38. Area of Triangle
1/2bh
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
2 pi r
(x-y)²

39. What are the side ratios for a 30:60:90 triangle?
The average - mean - median - or mode.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
The four big angles are equal and the four small angles are equal

40. (a+b)(c+d)
(x+y)²
y2-y1/x2-x1
(y-y1)=m(x-x1)
Ac+ad+bc+bd

41. What is the prime factorization of 200?
2x2x2x5x5
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.
x°/360 times (?r²) - where x is the degrees in the angle
A segment connecting the center of a circle to any point on the circle

42. Perimeter of rectangle
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.
Sum of the lengths of the sides
2l+2w
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

43. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
Probability A + Probability B
x² + 2xy + y²
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

44. Lines reflected over the x or y axis have ____ slopes.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Last term
Negative
4pir^2

45. Circumference of a circle using radius
2pi*r
Number of desired outcomes/number of total outcomes
(x-y)²
y-y1=m(x-x1)

46. In a coordinate system - identify the quadrants and describe their location.
Bh
(n-2)180
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Sum of terms/number of terms

47. Area of a circle
y2-y1/x2-x1
?r²
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
N x M

48. How do you multiply powers with the same base?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Probability A * Probability B
x² -2xy + y²
1/3Bh

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

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

50. What is directly proportional?
y = kx
(a-b)(a²+ab+b²)
4s (where s = length of a side)
Less