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. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
S*v2
y2-y1/x2-x1
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

2. What is the circumference of a circle?
2Length + 2width [or (length + width) x 2]
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Opens up
2(pi)r

3. Area of Square
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
2pi*r
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
S^2

4. Chord
A+b
2Length + 2width [or (length + width) x 2]
The distance from one point on the circle to another point on the circle.
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.

5. How do you solve a permutation?
Probability A * Probability B
4pir^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
x°/360 times (?r²) - where x is the degrees in the angle

6. What'S the most important thing to remember about charts you'll see on the GRE?
2pi*r
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.
(y2-y1)/(x2-x1)
T1 * r^(n-1)

7. In intersecting lines - opposite angles are _____.
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
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Equal
x°/360 times (?r²) - where x is the degrees in the angle

8. Circumference Formula
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
½(base x height) [or (base x height)÷2]
The four big angles are equal and the four small angles are equal
C =?d

9. What is the 'distributive law'?
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.
Sum of the lengths of the sides
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Middle term

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.

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

11. What is the area of a triangle?
(y-y1)=m(x-x1)
1/2bh
(a+b)²
½(base x height) [or (base x height)÷2]

12. In a coordinate system - what is the origin?
(0 -0)
½(b1 +b2) x h [or (b1 +b2) x h÷2]
A segment connecting the center of a circle to any point on the circle
Sum of the lengths of the sides

13. Perimeter of a square
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
4s (where s = length of a side)
1/3Bh
b±[vb²-4ac]/2a

14. What is the area of a sector?
(x+y)²
Arrangements - orders - schedules - or lists.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
(n degrees/360) * (pi)r^2

15. Circumference of cirlce using diameter
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
(x1+x2)/2 - (y1+y2)/2
Pi*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.

16. a³-b³
Middle term
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
1.7
(a-b)(a²+ab+b²)

17. Sector
T1 * r^(n-1)/(r-1)
(x-y)²
x² + 2xy + y²
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.

18. 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

19. 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.
(n degrees/360) * (pi)r^2
S² - where s = length of a side
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

20. For a bell curve - what three terms might be used to describe the number in the middle?
1/2bh
1/x^a
The average - mean - median - or mode.
Less

21. a² - b² is equal to
(a+b)(a-b)
x² + 2xy + y²
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

22. What is the average speed?
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Total distance/total time
2pir^2 + 2pir*h
(pi)r^2

23. What is directly proportional?
y = kx
Pi*r^2
The total # of possible outcomes.
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.

24. What do permutation problems often ask for?
Arrangements - orders - schedules - or lists.
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.
x°/360 times (?r²) - where x is the degrees in the angle
2(pi)r(r+h)

25. If x² = 144 - does v144 = x?
Not necessarily. This is a trick question - because x could be either positive or negative.
Middle term
The distance from one point on the circle to another point on the circle.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

26. Quadratic Formula
2Length + 2width [or (length + width) x 2]
b±[vb²-4ac]/2a
(y-y1)=m(x-x1)
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.

27. What is the area of a circle?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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)r^2
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

28. What is the sum of the inside angles of an n-sided polygon?
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 distance from one point on the circle to another point on the circle.
(n-2)180
2l+2w

29. What is the volume of a cylinder?
Middle term
(pi)r^2(h)
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1/1

30. How do you calculate the surface area of a rectangular box?
1/2bh
C =?d
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.
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.

31. How do you multiply powers with the same base?
(y2-y1)/(x2-x1)
Pi*r^2
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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

32. What is the unfactored version of x²-y² ?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
(x+y)(x-y)
Part of a circle connecting two points on the circle.
2(pi)r(r+h)

33. When a line crosses two parallel lines - ________.
The four big angles are equal and the four small angles are equal
4/3pir^3
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Pi*r^2

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

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

35. (a+b)(c+d)
Ac+ad+bc+bd
The distance from one point on the circle to another point on the circle.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
½(base x height) [or (base x height)÷2]

36. In a parabola - if the first term is negative - the parabola ________.
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/x^a
Opens down
2(pi)r(r+h)

37. Volume of sphere
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.
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.
4/3pir^3

38. In a coordinate system - identify the quadrants and describe their location.
Less
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Lwh
Pi*d

39. If something is certain to happen - how is the probability of this event expressed mathematically?
1/1
1/2 h (b1 + b2)
2x2x2x5x5
(x1+x2)/2 - (y1+y2)/2

40. Surface Area of Sphere
Sum of the lengths of the sides
A=?r2
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
4pir^2

41. Rough est. of v1 =
A=bh
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
y-y1=m(x-x1)
1

42. What are the side ratios for a 30:60:90 triangle?
2lw+2lh+2wh
Total distance/total time
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Pi*d

43. Radius (Radii)
2l+2w
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
A segment connecting the center of a circle to any point on the circle
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.

44. Central Angle
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.
(y2-y1)/(x2-x1)
An ange whose vertex is the center of the circle
x² -2xy + y²

45. What is a '30:60:90' triangle?
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
Between 0 and 1.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
½(b1 +b2) x h [or (b1 +b2) x h÷2]

46. Define the range of a set of numbers.
Part of a circle connecting two points on the circle.
?d OR 2?r
½(b1 +b2) x h [or (b1 +b2) x h÷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.

47. Area of Circles
Part of a circle connecting two points on the circle.
Opens up
Opens down
A=?r2

48. 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

49. What is the point-slope form?
(y-y1)=m(x-x1)
Middle term
(a+b)(a²-ab+b²)
b±[vb²-4ac]/2a

50. length of a sector
x°/360 times (2 pi r) - where x is the degrees in the angle
1/2bh
(y2-y1)/(x2-x1)
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.