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. An integer is divisible by 9 if...
An integer is divisible by 9 if the sum of its digits is divisible by 9.
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
The value that appears most often in a data set.
Groups - teams - or committees.


2. If something is possible but not certain - what is the numeric range of probability of it happening?
3:4:5 5:12:13
The total # of possible outcomes.
It will be a great advantage on test day to have your times table memorized from 1 through 15.
Between 0 and 1.


3. For a bell curve - what three terms might be used to describe the number in the middle?
25%
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.
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.
The average - mean - median - or mode.


4. HIGH: What is the median?
Not reading the problems carefully enough!
Probability A + Probability B
The # falling in the center of an ordered data set
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


5. What should you do BEFORE you start to solve a GRE math problem?

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6. HIGH: Define the 'Third side' rule for triangles

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7. HIGH: How do you calculate the circumference of a circle?
2pr -or- pd
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
x² -2xy + y²
S²


8. How do you multiply fractions?
Multiply numerator times numerator and denominator times denominator.
Probability A * Probability B
A=pr²
A line is a 180-degree angle.


9. HIGH: What is 'absolute value' - and how is it represented?

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10. HIGH: Describe how to deal with 2 sets of parentheses.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Probability A + Probability B
V=s³
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)+


11. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
180 degrees
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.
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.
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.


12. HIGH: how do you calculate the surface area of a rectangular box?
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.
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.
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.
A 90-degree angle.


13. HIGH: What is the order of math operations - and the mnemonic to remember it?
Invert the second fraction (reciprocal) and multiply
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=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
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


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

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15. Area of a parallelogram?
An integer is divisible by 9 if the sum of its digits is divisible by 9.
Bh
x² -2xy + y²
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. Explain how to calculate an average (arithmetic mean)
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
Bh
1.4
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.


17. What is an 'equilateral' triangle?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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.
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'.
A=pr²


18. HIGH: x^-n is equal to
Bh
1/x^n For example - 6-² = 1/6² = 1/36
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.


19. How do you calculate the probability of two events in a row? (Probability of A and B)
Probability A * Probability B
90 degrees each.
A line is a 180-degree angle.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.


20. Does order matter for a permutation? How about for a combination?
Find the total - or whole - first - and then set up a Ratio Box.
6
Order does matter for a permutation - but does not matter for a combination.
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3


21. HIGH: What is the equation of a line?

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22. How is a range expressed with inequalities?
Example: 1 < x < 10
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
Between 0 and 1.


23. HIGH: What must be true before a quadratic equation can be solved?

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24. What is a 'Right' triangle?
A triangle in which one of the three interior angles is 90 degrees.
1/x^n For example - 6-² = 1/6² = 1/36
1/1
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.


25. How do you solve a permutation?
Multiply numerator times numerator and denominator times denominator.
V=s³
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. 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


26. HIGH: what is the side ratio for a Right Isosceles triangle?
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Example: 1 < x < 10
V=s³
1


27. HIGH: Rough est. of v1 =
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
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
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


28. How do you calculate the percentage of change?
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.
A 90-degree angle.
Percentage Change = Difference/Original * 100
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


29. How many angles are formed when 2 lines intersect? and what is the sum of these angles?
4 angles are formed. Their sum is 360 degrees
1.4
1/1
The value that appears most often in a data set.


30. HIGH: How do you multiply powers with the same base?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
V=s³
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.
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.


31. The three exterior angles of a triangle add up to...
Find the total - or whole - first - and then set up a Ratio Box.
x²-y²
360 degrees
S²


32. HIGH: What is the unfactored version of (x-y)² ?
(x+y)(x-y)
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.
Between 0 and 1.
x² -2xy + y²


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

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34. When 2 lines are perpendicular to each other - their intersection forms 4 angles. What degree are these 4 angles?
The total # of possible outcomes.
Percentage Change = Difference/Original * 100
180 degrees.
90 degrees each.


35. HIGH: Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
S*v2
Find a common denominator and make equivalent fractions. Then add or subtract.
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
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.


36. HIGH: How much of your times table should you know - for the GRE?
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
It will be a great advantage on test day to have your times table memorized from 1 through 15.
Bh
1


37. An integer is divisible by 3 if...
Probability A + Probability B
(x-y)²
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.
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.


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

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39. The three interior angles of a triangle add up to...
Probability A * Probability B
For RIGHT triangles only: c² = a² + b² 'c' is the length of the hypotenuse; 'a' and 'b' are the other two sides ('legs')
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.
180 degrees


40. What is the 'distributive law'?
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
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.
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


41. HIGH: Rough est. of v3 =
Find a common denominator and make equivalent fractions. Then add or subtract.
360 degrees
1.7
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.


42. Convert to a percentage: 4/5
80%
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 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.
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.


43. v4 =
Probability A + Probability B
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
2


44. HIGH: What is the factored version of (x+y)(x-y) ?
x²-y²
The value that appears most often in a data set.
2
Find a common denominator and make equivalent fractions. Then add or subtract.


45. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
A=pr²
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
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.
Probability A + Probability B


46. HIGH: What is the unfactored version of x²-y² ?
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.
V=pr²h (This is just the area multiplied by the height)
(x+y)(x-y)
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


47. Area of a square?
S²
1.7
Find a common denominator and make equivalent fractions. Then add or subtract.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7


48. Define 'proportionate' values
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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.
1/x^n For example - 6-² = 1/6² = 1/36
x²-y²


49. HIGH: What is the Pythagorean theorem?

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50. What is the equation for a group problem?
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
(x+y)(x-y)
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
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.