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. In a coordinate system - what is the origin?
(0 -0)
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.
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
Percentage Change = Difference/Original * 100


2. Does order matter for a permutation? How about for a combination?
Order does matter for a permutation - but does not matter for a combination.
S²
1. Given event A: A + notA = 1.
(x+y)(x-y)


3. HIGH: What is the factored version of (x+y)(x-y) ?
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
x²-y²
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.
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.


4. An integer is divisible by 2 if...
90 degrees each.
2r
An integer is divisible by 2 if its units digit is divisible by 2.
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)+


5. HIGH: List the two most common side ratios for right triangles
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
180 degrees.
3:4:5 5:12:13
The # falling in the center of an ordered data set


6. An integer is divisible by 3 if...
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
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.
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
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.


7. What do combination problems usually ask for?
A triangle in which one of the three interior angles is 90 degrees.
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
First - translate into clear math: 56 = x/100(80) ('56 is x one-hundredths of 80') = 56 = 80x/100 = 56 = 4x/5 Divide both sides by 4/5 (multiply by 5/4) 70 = x - so 70%.
Groups - teams - or committees.


8. If something is certain to happen - how is the probability of this event expressed mathematically?
x² + 2xy + y²
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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.


9. Explain the special properties of zero.
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
Find the total - or whole - first - and then set up a Ratio Box.
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.
Order does matter for a permutation - but does not matter for a combination.


10. 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


11. An integer is divisible by 5 if...
An integer is divisible by 5 if its units digit is either 0 or 5.
V=s³
Arrangements - orders - schedules - or lists.
1


12. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
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.
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.
Find the total - or whole - first - and then set up a Ratio Box.


13. What are the side ratios for a 30:60:90 triangle?
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
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
(x+y)²


14. What is a 'Right' angle?
A 90-degree angle.
Bh
The average - mean - median - or mode.
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


15. Define the mode of a set of numbers.
The # falling in the center of an ordered data set
180 degrees.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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.


16. a² - b² is equal to
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(a+b)(a-b)
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
V=s³


17. HIGH: Volume of a cube?
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
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.
V=s³


18. Convert to a percentage: 3/5
Order does matter for a permutation - but does not matter for a combination.
Find the total - or whole - first - and then set up a Ratio Box.
180 degrees
60%


19. 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


20. HIGH: how do you calculate a diagonal inside a 3-dimensional rectangular box?
2
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
A 90-degree angle.
60%


21. Diameter of a circle?
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
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.
2r
A=pr²


22. What is the 'Third side' rule for triangles?
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.
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.
A triangle in which one of the three interior angles is 90 degrees.
The # falling in the center of an ordered data set


23. HIGH: How much of your times table should you know - for the GRE?
25%
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
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.
It will be a great advantage on test day to have your times table memorized from 1 through 15.


24. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
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.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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.
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.


25. 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


26. How do you calculate the percentage of change?
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
V=s³
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
Percentage Change = Difference/Original * 100


27. 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


28. What degree angle is a line?
Bh
A line is a 180-degree angle.
3:4:5 5:12:13
1/x^n For example - 6-² = 1/6² = 1/36


29. How many angles are formed when 2 lines intersect? and what is the sum of these angles?
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.
'Big' angles and 'Small' angles.
4 angles are formed. Their sum is 360 degrees
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4


30. Simplify this: v32
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
360 degrees
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.


31. What number goes on the bottom of a probability fraction?
A triangle in which one of the three interior angles is 90 degrees.
x² -2xy + y²
The total # of possible outcomes.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.


32. What is the 'distributive law'?
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
Favorable Outcomes/Total Possible Outcomes
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.
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.


33. Convert to a percentage: 4/5
80%
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
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.
x²-y²


34. What'S the most important thing to remember about charts you'll see on the GRE?
Percentage Change = Difference/Original * 100
Not reading the problems carefully enough!
A triangle in which one of the three interior angles is 90 degrees.
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.


35. What is the sum of any 'big' angle and any 'Small' angle?
60%
180 degrees.
S²
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.


36. Area of a parallelogram?
Bh
25%
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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'.


37. Probability Formula
Favorable Outcomes/Total Possible Outcomes
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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.
S²


38. HIGH: Area of a triangle?
The # falling in the center of an ordered data set
The value that appears most often in a data set.
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
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.


39. HIGH: How do you calculate the length of an arc?

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


40. HIGH: How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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
The average - mean - median - or mode.
Multiply numerator times numerator and denominator times denominator.
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.


41. Convert to a percentage: 2/5
4 angles are formed. Their sum is 360 degrees
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.
40%
An integer is divisible by 2 if its units digit is divisible by 2.


42. How do you solve a permutation?
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
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
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
(a+b)(a-b)


43. How do you calculate the probability of two events in a row? (Probability of A and B)
Probability A * Probability B
x² -2xy + y²
Invert the second fraction (reciprocal) and multiply
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.


44. HIGH: What are the percentages for standard deviation?
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
x² + 2xy + y²
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.


45. Explain how to divide fractions.
25%
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
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
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2


46. HIGH: what is the side ratio for a Right Isosceles triangle?
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
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 ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.


47. HIGH: What numbers does ETS hope you'll forget to consider - for quant comp questions?
40%
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
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
Multiply numerator times numerator and denominator times denominator.


48. What is the equation for a group problem?
For RIGHT triangles only: c² = a² + b² 'c' is the length of the hypotenuse; 'a' and 'b' are the other two sides ('legs')
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
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
180 degrees


49. HIGH: What is the unfactored version of x²-y² ?
(x+y)(x-y)
'Big' angles and 'Small' angles.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
90 degrees each.


50. The three exterior angles of a triangle add up to...
360 degrees
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
(0 -0)