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. Explain how to divide fractions.
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.
V=pr²h (This is just the area multiplied by the height)
The value that appears most often in a data set.
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4


2. What degree angle is a line?
1. Given event A: A + notA = 1.
A line is a 180-degree angle.
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 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.


3. HIGH: What is a 'Right isosceles' triangle?
60%
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)+
Arrangements - orders - schedules - or lists.
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.


4. What is an 'equilateral' triangle?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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.
Between 0 and 1.
1/1


5. HIGH: Volume of a cylinder?
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Invert the second fraction (reciprocal) and multiply
V=pr²h (This is just the area multiplied by the height)
(x-y)²


6. Diameter of a circle?
Bh
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
2r
6


7. An integer is divisible by 9 if...
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%.
A triangle in which one of the three interior angles is 90 degrees.
An integer is divisible by 9 if the sum of its digits is divisible by 9.
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.


8. HIGH: What is the mode?
1/x^n For example - 6-² = 1/6² = 1/36
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
For RIGHT triangles only: c² = a² + b² 'c' is the length of the hypotenuse; 'a' and 'b' are the other two sides ('legs')
The value that appears most often in a data set.


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


10. HIGH: What is a '30:60:90' triangle?
An integer is divisible by 5 if its units digit is either 0 or 5.
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 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.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7


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

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12. On the GRE - should you ever assume that diagrams are truthful?
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
A triangle in which one of the three interior angles is 90 degrees.
1.7
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.


13. For a bell curve - what three terms might be used to describe the number in the middle?
(a+b)(a-b)
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.
The average - mean - median - or mode.
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.


14. What is the formula to determine probability?
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 5 if its units digit is either 0 or 5.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)


15. Area of a parallelogram?
Find the total - or whole - first - and then set up a Ratio Box.
Bh
It will be a great advantage on test day to have your times table memorized from 1 through 15.
90 degrees each.


16. Convert to a percentage: 3/5
60%
Multiply numerator times numerator and denominator times denominator.
1.7
For RIGHT triangles only: c² = a² + b² 'c' is the length of the hypotenuse; 'a' and 'b' are the other two sides ('legs')


17. Explain the special properties of zero.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
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.
1/x^n For example - 6-² = 1/6² = 1/36


18. What is the 'Third side' rule for triangles?
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
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
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.
The # falling in the center of an ordered data set


19. HIGH: what is the side ratio for a Right Isosceles triangle?
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
An integer is divisible by 9 if the sum of its digits is divisible by 9.
25%
360 degrees


20. Convert to a percentage: 2/5
40%
Arrangements - orders - schedules - or lists.
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.
(x-y)²


21. Convert to a percentage: 1/4
6
1.7
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
25%


22. In a coordinate system - what is the origin?
1/1
Find the total - or whole - first - and then set up a Ratio Box.
(0 -0)
6


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

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24. What'S a handy rough estimate for a circle'S perimeter - if you know it'S diameter?

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25. What is the sum of any 'big' angle and any 'Small' angle?
360 degrees
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
180 degrees.


26. If x² = 144 - does v144 = x?
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.
Not necessarily. This is a trick question - because x could be either positive or negative.
Percentage Change = Difference/Original * 100
The value that appears most often in a data set.


27. HIGH: What is the unfactored version of x²-y² ?
Not necessarily. This is a trick question - because x could be either positive or negative.
A triangle in which one of the three interior angles is 90 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.
(x+y)(x-y)


28. HIGH: Volume of a cube?
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.
V=s³
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 6 if it'S divisible by BOTH 2 and 3.


29. HIGH: Explain a method for quickly comparing fractions with different denominators - to determine which is larger.

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30. What number goes on the bottom of a probability fraction?
2pr -or- pd
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.
The total # of possible outcomes.
A 90-degree angle.


31. What is the key to dealing with ratio questions?
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.
A 90-degree angle.
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.


32. Define the median of a set of numbers - and how to find it for an odd and even number of values in a set.

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

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34. What are 'vertical angles'?
2r
2pr -or- pd
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.


35. An integer is divisible by 5 if...
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
An integer is divisible by 5 if its units digit is either 0 or 5.
Probability A + Probability B
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.


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

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37. HIGH: x^-n is equal to
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
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Example: 1 < x < 10


38. HIGH: What is the Pythagorean theorem?

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39. HIGH: Rough est. of v3 =
It will be a great advantage on test day to have your times table memorized from 1 through 15.
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.
1.7
1


40. HIGH: What is the factored version of (x+y)(x-y) ?
x²-y²
Favorable Outcomes/Total Possible Outcomes
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).


41. HIGH: how do you calculate the surface area of a rectangular box?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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.
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28


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

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43. HIGH: Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
'Big' angles and 'Small' angles.
Order does matter for a permutation - but does not matter for a combination.
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
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.


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


45. HIGH: Area of a triangle?
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
V=s³
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
(x-y)²


46. What is a 'Right' triangle?
Arrangements - orders - schedules - or lists.
The average - mean - median - or mode.
A triangle in which one of the three interior angles is 90 degrees.
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.


47. Solve this: v6 * -v6 = ?
3:4:5 5:12:13
6
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
A circle'S perimeter is roughly 3x its diameter (the formula is pd).


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

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49. What causes 80% of errors on the math section of the GRE?
4 angles are formed. Their sum is 360 degrees
(x-y)²
80%
Not reading the problems carefully enough!


50. The probability of an event happening and the probability of an event NOT happening must add up to what number?
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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. Given event A: A + notA = 1.
60%