GRE High Frequency Math Terms

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. If something is certain to happen - how is the probability of this event expressed mathematically?
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
1/1
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.


2. HIGH: How do you calculate the circumference of a circle?
3:4:5 5:12:13
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
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.
2pr -or- pd


3. The three interior angles of a triangle add up to...
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.
Groups - teams - or committees.
180 degrees
2r


4. Define the range of a set of numbers.
1/x^n For example - 6-² = 1/6² = 1/36
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.
A radius
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. If something is possible but not certain - what is the numeric range of probability of it happening?
(x+y)²
A line is a 180-degree angle.
Between 0 and 1.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.


6. The probability of an event happening and the probability of an event NOT happening must add up to what number?
Bh
1. Given event A: A + notA = 1.
A 90-degree angle.
x² -2xy + y²


7. How many degrees does a circle contain?
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.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
360 degrees
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.


8. a² - b² is equal to
(a+b)(a-b)
x² -2xy + y²
An integer is divisible by 2 if its units digit is divisible by 2.
1


9. What is the sum of any 'big' angle and any 'Small' angle?
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.
Not necessarily. This is a trick question - because x could be either positive or negative.
Find the total - or whole - first - and then set up a Ratio Box.
180 degrees.


10. How is a range expressed with inequalities?
Probability A * Probability B
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.
Example: 1 < x < 10
360 degrees


11. HIGH: What is the formula for the diagonal of any square?
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.
S*v2
Arrangements - orders - schedules - or lists.


12. Define 'proportionate' values
An integer is divisible by 3 if the sum of its digits is divisible by 3. For example - adding the digits of the number 2 -145 (2+1+4+5) = 12 - which is divisible by 3.
Not necessarily. This is a trick question - because x could be either positive or negative.
An integer is divisible by 2 if its units digit is divisible by 2.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.


13. The three exterior angles of a triangle add up to...
T = G1 + G2 - B + N Where T = Total G1 = first Group G2 = second Group B = members who are in Both groups N = members who are in Neither group
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
By Plugging In an actual value for the variable(s). This will be quicker - more accurate - you'll avoid built-in traps - and you can use the calculator. When Plugging In - use simple numbers but avoid 1 and 0.
360 degrees


14. Explain how to calculate an average (arithmetic mean)
x²-y²
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
V=s³
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.


15. What are 'vertical angles'?
Percentage Change = Difference/Original * 100
2pr -or- pd
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5


16. 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.
x² -2xy + y²
x² + 2xy + y²
360 degrees


17. How precise do you need to be - using p on the GRE?

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


18. HIGH: How do you multiply powers with the same base?
Use the FOIL method: First - Outer - Inner - Last. This simply means to multiply every term in the first parentheses by every term in the second parentheses. Example: (x+4)(x+3) = First: (xx) + Outer: (x3) + Inner: (4x) + Last: (43) = (xx)+(x3)+(x4)+
Invert the second fraction (reciprocal) and multiply
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Between 0 and 1.


19. What'S one way to avoid mistakes on algebra questions in the GRE?

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


20. HIGH: What is the median?
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
The # falling in the center of an ordered data set
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.
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.


21. What number goes on the bottom of a probability fraction?
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.
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.
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 total # of possible outcomes.


22. List two odd behaviors of exponents
2
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
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.
x²-y²


23. What causes 80% of errors on the math section of the GRE?
Not reading the problems carefully enough!
Groups - teams - or committees.
Percentage Change = Difference/Original * 100
2pr -or- pd


24. Explain how to use a 'Rate Pie'
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
This is similar to an Average Pie - and can be used for some story problems. Draw a circle. Top half holds the Distance or other Amount. Bottom left holds Time. Bottom right holds Rate. Rate * Time = Amount
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.


25. When a pair of parallel lines is intersected by another line - two types of angles are formed. What are they?

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


26. How do you solve a permutation?
The # falling in the center of an ordered data set
(x+y)(x-y)
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
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.


27. HIGH: Volume of a cylinder?
V=pr²h (This is just the area multiplied by the height)
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
80%
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.


28. What is the 'Third side' rule for triangles?
Groups - teams - or committees.
The value that appears most often in a data set.
Length of an Arc = (n/360)(2pr) - where 'n' equals the central angle (the angle formed by the two edge radii of the arc). For example: if n=60 - then n/360 = 1/6 - which means the arc formed by the 60-degree central angle will be 1/6 of the circle'S
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.


29. HIGH: Rough est. of v3 =
1.7
180 degrees
Probability A * Probability B
S*v2


30. Explain how to solve for 7/¼
Percentage Change = Difference/Original * 100
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
A line is a 180-degree 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.


31. Convert to a percentage: 3/5
Example: 1 < x < 10
360 degrees
60%
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.


32. Diameter of a circle?
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
Invert the second fraction (reciprocal) and multiply
A line is a 180-degree angle.
2r


33. What is an 'equilateral' triangle?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
A triangle in which one of the three interior angles is 90 degrees.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5


34. HIGH: how do you calculate the surface area of a rectangular box?
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.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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.
360 degrees


35. HIGH: 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


36. List all the prime numbers that are less than 30:
x² + 2xy + y²
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.
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime 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.


37. An integer is divisible by 8 if...

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


38. HIGH: What is the unfactored version of (x+y)² ?
360 degrees
2pr -or- pd
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
x² + 2xy + y²


39. What degree angle is a line?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
A line is a 180-degree angle.
1
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.


40. How do you calculate the percentage of change?
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.
A=pr²
1
Percentage Change = Difference/Original * 100


41. v4 =
Not reading the problems carefully enough!
Find the total - or whole - first - and then set up a Ratio Box.
2
Always read the answer choices first. Try to eliminate choices by ballparking or estimating. But watch out for 'Trap' answers that look temptingly correct at first glance.


42. Solve this: v6 * -v6 = ?
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
6
Not reading the problems carefully enough!
The value that appears most often in a data set.


43. HIGH: To divide powers with the same base...
The # falling in the center of an ordered data set
60%
25%
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5


44. What is the formula to determine probability?
V=s³
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
It will be a great advantage on test day to have your times table memorized from 1 through 15.


45. If x² = 144 - does v144 = x?
Not necessarily. This is a trick question - because x could be either positive or negative.
40%
25%
60%


46. HIGH: Rough est. of v2 =
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
Find a common denominator and make equivalent fractions. Then add or subtract.
1.4
(0 -0)


47. How many angles are formed when 2 lines intersect? and what is the sum of these angles?
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |
The value that appears most often in a data set.
4 angles are formed. Their sum is 360 degrees
Percentage Change = Difference/Original * 100


48. HIGH: What are the percentages for standard deviation?
25%
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
x² + 2xy + y²


49. What is a 'Right' triangle?
A triangle in which one of the three interior angles is 90 degrees.
T = G1 + G2 - B + N Where T = Total G1 = first Group G2 = second Group B = members who are in Both groups N = members who are in Neither group
Invert the second fraction (reciprocal) and multiply
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.


50. Explain how to use an 'Average Pie'
1/x^n For example - 6-² = 1/6² = 1/36
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
An integer is divisible by 5 if its units digit is either 0 or 5.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2