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GRE High Frequency Math Terms

Subjects : gre, math

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

2. What is the name of a line that extends from the center of a circle to the edge of a circle?
A radius
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
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

3. 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% |
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=pr²
1. Given event A: A + notA = 1.

4. Diameter of a circle?
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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
2r
Multiply numerator times numerator and denominator times denominator.

5. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
Probability A + Probability B
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.
(x+y)²
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.

6. What are the side ratios for a 30:60:90 triangle?
Probability A + Probability B
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
Invert the second fraction (reciprocal) and multiply

7. HIGH: Rough est. of v1 =
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 ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
1
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.

8. What is a 'Right' triangle?
A triangle in which one of the three interior angles is 90 degrees.
2
An integer is divisible by 9 if the sum of its digits is divisible by 9.
4 angles are formed. Their sum is 360 degrees

9. HIGH: What numbers does ETS hope you'll forget to consider - for quant comp questions?
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.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
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.

10. On the GRE - should you ever assume that diagrams are truthful?
Example: 1 < x < 10
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
S*v2
180 degrees

11. The three interior angles of a triangle add up to...
Order does matter for a permutation - but does not matter for a combination.
180 degrees
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.
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

12. What'S the most important thing to remember about charts you'll see on the GRE?
S²
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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.
V=s³

13. Convert to a percentage: 2/5
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)+
40%
Multiply numerator times numerator and denominator times denominator.
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.

14. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
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.
25%
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

15. HIGH: What is the Pythagorean theorem?

16. HIGH: What is the mode?
The value that appears most often in a data set.
Not necessarily. This is a trick question - because x could be either positive or negative.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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.

17. HIGH: How do you multiply powers with the same base?
(x-y)²
25%
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

18. Explain how to solve for 7/¼
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
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
360 degrees
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.

19. Area of a parallelogram?
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
Bh
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.

20. HIGH: Simplify this: v75/v27
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
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.
1.7
Arrangements - orders - schedules - or lists.

21. Does order matter for a permutation? How about for a combination?
180 degrees.
For RIGHT triangles only: c² = a² + b² 'c' is the length of the hypotenuse; 'a' and 'b' are the other two sides ('legs')
Order does matter for a permutation - but does not matter for a combination.
Not reading the problems carefully enough!

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

23. HIGH: Rough est. of v2 =
The # falling in the center of an ordered data set
25%
1.4
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.

24. What are 'vertical angles'?
180 degrees
2pr -or- pd
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.

25. HIGH: What is the side ratio for a 30:60:90 triangle?
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Find the total - or whole - first - and then set up a Ratio Box.
180 degrees

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

27. What is an 'equilateral' triangle?
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
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.
2

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

29. Explain the difference between handling a permutation versus a combination.
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.
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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Between 0 and 1.

30. HIGH: What is a '30:60:90' triangle?
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
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.
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.
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.

31. Explain how to divide fractions.
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.
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
x²-y²

32. HIGH: What is a 'Right isosceles' triangle?
1/1
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.
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.
It will be a great advantage on test day to have your times table memorized from 1 through 15.

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

34. 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
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
180 degrees.
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3

35. Define the mode of a set of numbers.
(a+b)(a-b)
1. Given event A: A + notA = 1.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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.

36. How many degrees does a circle contain?
360 degrees
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
6
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.

37. Simplify this: v32
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.
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

38. HIGH: What is the median?
The # falling in the center of an ordered data set
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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.

39. HIGH: Volume of a cylinder?
A=pr²
x²-y²
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.
V=pr²h (This is just the area multiplied by the height)

40. How is a range expressed with inequalities?
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
Example: 1 < x < 10
An integer is divisible by 5 if its units digit is either 0 or 5.
1.7

41. HIGH: How much of your times table should you know - for the GRE?
x² -2xy + y²
It will be a great advantage on test day to have your times table memorized from 1 through 15.
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 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.

42. HIGH: x^-n is equal to
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 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
360 degrees

43. An integer is divisible by 3 if...
Arrangements - orders - schedules - or lists.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
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.

44. HIGH: how do you calculate a diagonal inside a 3-dimensional rectangular box?
Arrangements - orders - schedules - or lists.
360 degrees
The average - mean - median - or mode.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

45. HIGH: What is the order of math operations - and the mnemonic to remember it?
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
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%.
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
1.4

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

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

48. What is the formula to determine probability?
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.
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

49. Area of a square?
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.
S²
Multiply numerator times numerator and denominator times denominator.
1.7

50. Convert to a percentage: 4/5
(a+b)(a-b)
x² + 2xy + y²
80%
1