SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
Test your basic knowledge |
GRE Math 2
Start Test
Study First
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 circumference of a circle?
T1 * r^(n-1)/(r-1)
(a+b)²
2(pi)r
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.
2. How do you find the midpoint?
2 pi r
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
(x1+x2)/2 - (y1+y2)/2
1/3Bh
3. Radius (Radii)
A segment connecting the center of a circle to any point on the circle
y-y1=m(x-x1)
4/3pir^3
(n degrees/360) * (pi)r^2
4. What is the 'Third side' rule for triangles?
x°/360 times (?r²) - where x is the degrees in the angle
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 - and greater than the difference between the other two sides.
C =?d
5. Rough est. of v1 =
1
T1 * r^(n-1)/(r-1)
Last term
Order does matter for a permutation - but does not matter for a combination.
6. Central Angle
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.
Opens down
(x1+x2)/2 - (y1+y2)/2
An ange whose vertex is the center of the circle
7. perimeter of square
4s
An ange whose vertex is the center of the circle
2Length + 2width [or (length + width) x 2]
(a+b)²
8. Volume of Cylinder
A=?r2
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Pir^2h
x°/360 times (?r²) - where x is the degrees in the angle
9. Area of Parallelogram
Bh
The total # of possible outcomes.
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.
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.
10. Area of Trapezoid
A=?r2
1/2 h (b1 + b2)
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. 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.
11. How do you calculate the percentage of change?
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
Percentage Change = Difference/Original * 100
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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
12. What do combination problems usually ask for?
Groups - teams - or committees.
(a+b)²
1/3pir^2*h
½(b1 +b2) x h [or (b1 +b2) x h÷2]
13. Area of a triangle
C =?d
The set of points which are all the same distance (the radius) from a certain point (the center).
½(base x height) [or (base x height)÷2]
Probability A * Probability B
14. Circle
y2-y1/x2-x1
The set of points which are all the same distance (the radius) from a certain point (the center).
(a-b)(a+b)
x°/360 times (?r²) - where x is the degrees in the angle
15. Area of a trapezoid
2(pi)r
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(n/2) * (t1+tn)
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. Lines reflected over the x or y axis have ____ slopes.
Negative
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'.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
17. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
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.
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.
(a-b)(a²+ab+b²)
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.
18. Circumference of a circle using radius
Part of a circle connecting two points on the circle.
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.
x² + 2xy + y²
2pi*r
19. a² - b² is equal to
T1 + (n-1)d
(a+b)(a-b)
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
20. What is the factored version of (x+y)(x-y) ?
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
x²-y²
(a-b)²
x°/360 times (2 pi r) - where x is the degrees in the angle
21. length of a sector
(x1+x2)/2 - (y1+y2)/2
x°/360 times (2 pi r) - where x is the degrees in the angle
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.
x²-y²
22. What is the distance formula?
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
Sqr( x2 -x1) + (y2- y1)
Lw
Less
23. What is the unfactored version of (x-y)² ?
x² -2xy + y²
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'.
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.
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.
24. What is the factored version of x² + 2xy + y² ?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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.
(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.
25. What is the volume of a solid rectangle?
S^2
(pi)r^2(h)
Lwh
C =?d
26. Point-Slope form
y-y1=m(x-x1)
2x2x2x5x5
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Pi*d
27. What is the formula for the diagonal of any square?
1/2 h (b1 + b2)
The total # of possible outcomes.
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.
S*v2
28. Circumference of a circle
1/2bh
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.
?d OR 2?r
T1 + (n-1)d
29. How do you calculate the surface area of a rectangular box?
Pir^2h
4s
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.
30. Define a factorial of a number - and how it is written.
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.
Part of a circle connecting two points on the circle.
(n/2) * (t1+tn)
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 multiply powers with the same base?
(a-b)(a²+ab+b²)
The distance from one point on the circle to another point on the circle.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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.
32. What is inversely proportional?
y = k/x
2l+2w
(pi)r^2(h)
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.
33. a²-b²
1. Given event A: A + notA = 1.
(a-b)(a+b)
S*v2
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
34. Perimeter of a rectangle
Sum of the lengths of the sides
x² -2xy + y²
Equal
2Length + 2width [or (length + width) x 2]
35. Quadratic Formula
Negative
b±[vb²-4ac]/2a
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.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
36. Explain a method for quickly comparing fractions with different denominators - to determine which is larger.
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
37. What is the side ratio for a Right Isosceles triangle?
1/x^a
(a-b)(a²+ab+b²)
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
?d OR 2?r
38. Volume of prism
(x1+x2)/2 - (y1+y2)/2
Bh
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.
Order does matter for a permutation - but does not matter for a combination.
39. Circumference of cirlce using diameter
(a+b)²
The total # of possible outcomes.
(n/2) * (t1+tn)
Pi*d
40. Surface Area of Sphere
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Probability A * Probability B
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
4pir^2
41. In a parabola - if the first term is positive - the parabola ________.
(y2-y1)/(x2-x1)
(y-y1)=m(x-x1)
Opens up
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
42. The length of one side of any triangle is ____ than the sum of the other two sides.
(n degrees/360) * 2(pi)r
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.
b±[vb²-4ac]/2a
Less
43. Area of a circle
Sqr( x2 -x1) + (y2- y1)
?r²
Sum of terms/number of terms
S^2
44. a²-2ab+b²
(a-b)²
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
4s (where s = length of a side)
Total distance/total time
45. What'S the most important thing to remember about charts you'll see on the GRE?
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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
The four big angles are equal and the four small angles are equal
(x-y)²
46. 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.
Between 0 and 1.
Part of a circle connecting two points on the circle.
47. Perimeter of polygon
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
C =?d
Sum of the lengths of the sides
2(pi)r(r+h)
48. What do permutation problems often ask for?
y-y1=m(x-x1)
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
The distance from one point on the circle to another point on the circle.
Arrangements - orders - schedules - or lists.
49. Explain the special properties of zero.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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.
2Length + 2width [or (length + width) x 2]
x°/360 times (2 pi r) - where x is the degrees in the angle
50. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
A segment connecting the center of a circle to any point on the circle
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.
(x1+x2)/2 - (y1+y2)/2
(n degrees/360) * (pi)r^2