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. Define the mode of a set of numbers.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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.
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
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.


2. In a coordinate system - identify the quadrants and describe their location.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
1.4


3. Simplify this: v32
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.
(x-y)²
A 90-degree angle.
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.


4. HIGH: How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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.
The value that appears most often in a data set.
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.
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3


5. An integer is divisible by 4 if...

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


6. a² - b² is equal to
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Percentage Change = Difference/Original * 100
Example: 1 < x < 10
(a+b)(a-b)


7. HIGH: Volume of a cube?
360 degrees
80%
V=s³
Favorable Outcomes/Total Possible Outcomes


8. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
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.
1/1
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.
V=s³


9. How do you multiply fractions?
A triangle in which one of the three interior angles is 90 degrees.
1/x^n For example - 6-² = 1/6² = 1/36
Multiply numerator times numerator and denominator times denominator.
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3


10. HIGH: Explain the process to solve '56 is what percent of 80?'

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


11. List two odd behaviors of exponents
x²-y²
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.
V=s³
S²


12. 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


13. How many angles are formed when 2 lines intersect? and what is the sum of these angles?
6
4 angles are formed. Their sum is 360 degrees
An integer is divisible by 4 if its last two digits form a number that'S divisible by 4. For example - 712 is divisible by 4 because its last two digits (12) is divisible by 4.
S*v2


14. List all the prime numbers that are less than 30:
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
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.
PEMDAS (Please Excuse My Dear Aunt Sally): P = Parentheses. Solve anything inside of parentheses first. E = Exponents. Solve these second. MD = Multiplication - Division. From left to right - do all multiplication and division during one step through
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7


15. What is an 'equilateral' triangle?
Invert the second fraction (reciprocal) and multiply
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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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.


16. An integer is divisible by 9 if...
An integer is divisible by 9 if the sum of its digits is divisible by 9.
(x-y)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
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.


17. How do you divide fractions?
Invert the second fraction (reciprocal) and multiply
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.
Multiply numerator times numerator and denominator times denominator.
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.


18. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
x²-y²
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Probability A + Probability B


19. What number goes on the bottom of a probability fraction?
The total # of possible outcomes.
S*v2
1.7
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.


20. Diameter of a circle?
2r
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)+
Probability A * Probability B
1. Figure out how many slots you have (i.e. you'Re supposed to bring home 3 different types of ice cream) 2. Write down the number of possible options for each slot (i.e. 5 flavors of ice cream at the store - 5 options for the 1st slot - 4 options fo


21. HIGH: What is the Pythagorean theorem?

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


22. The three interior angles of a triangle add up to...
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
180 degrees
Bh
Find a common denominator and make equivalent fractions. Then add or subtract.


23. What is the key to dealing with ratio questions?
Find the total - or whole - first - and then set up a Ratio Box.
1. Given event A: A + notA = 1.
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.
The # falling in the center of an ordered data set


24. Convert to a percentage: 2/5
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Multiply numerator times numerator and denominator times denominator.
40%
x² -2xy + y²


25. HIGH: What is the unfactored version of (x+y)² ?
1. Given event A: A + notA = 1.
x² + 2xy + y²
(x+y)²
S*v2


26. What do combination problems usually ask for?
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.
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
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.


27. 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


28. Does order matter for a permutation? How about for a combination?
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
Order does matter for a permutation - but does not matter for a combination.
Not reading the problems carefully enough!
The average - mean - median - or mode.


29. The probability of an event happening and the probability of an event NOT happening must add up to what number?
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.
1. Given event A: A + notA = 1.
180 degrees.
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |


30. HIGH: 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


31. 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


32. For a bell curve - what three terms might be used to describe the number in the middle?
The average - mean - median - or mode.
25%
A triangle in which one of the three interior angles is 90 degrees.
If order matters - then you have a permutation -- do NOT divide. If order does NOT matter - then you have a combination -- divide by the factorial of the number of available slots.


33. HIGH: What are the percentages for standard deviation?
Not reading the problems carefully enough!
1
S²
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |


34. Define the range of a set of numbers.
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
(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.
1. Given event A: A + notA = 1.


35. What is the 'distributive law'?
Probability A * Probability B
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.
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.
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions


36. Define 'proportionate' values
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.
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.


37. What causes 80% of errors on the math section of the GRE?
Not necessarily. This is a trick question - because x could be either positive or negative.
Not reading the problems carefully enough!
2r
Groups - teams - or committees.


38. An integer is divisible by 3 if...
V75 = v253 = 5v3 - and v27 = v93 = 3v3. So we have 5v3/3v3. The v3 in the top and bottom of the fraction cancel - leaving 5/3.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
180 degrees.
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.


39. Explain the special properties of zero.
The # falling in the center of an ordered data set
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)+
(x-y)²
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.


40. Convert to a percentage: 3/5
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
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
60%
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.


41. What is the factored version of x² -2xy + y² ?
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.
(x-y)²
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.
80%


42. An integer is divisible by 6 if...

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


43. Solve this: v6 * -v6 = ?
(x-y)²
Bh
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
6


44. HIGH: How do you calculate the circumference of a circle?
2pr -or- pd
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
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.
25%


45. 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


46. On the GRE - should you ever assume that diagrams are truthful?
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
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.
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.


47. An integer is divisible by 2 if...
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
An integer is divisible by 2 if its units digit is divisible by 2.
4 angles are formed. Their sum is 360 degrees
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.


48. Explain how to solve for 7/¼
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
40%
x²-y²
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.


49. HIGH: What is the side ratio for a 30:60:90 triangle?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
It will be a great advantage on test day to have your times table memorized from 1 through 15.
S²
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.


50. HIGH: 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