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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. The three exterior angles of a triangle add up to...
An integer is divisible by 9 if the sum of its digits is divisible by 9.
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |
A triangle in which one of the three interior angles is 90 degrees.
360 degrees

2. On the GRE - should you ever assume that diagrams are truthful?
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.
V=pr²h (This is just the area multiplied by the height)
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

3. Define a factorial of a number - and how it is written.
V=s³
360 degrees
1.4
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.

4. How many degrees does a circle contain?
Multiply numerator times numerator and denominator times denominator.
360 degrees
Not reading the problems carefully enough!
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

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

6. Does order matter for a permutation? How about for a combination?
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
Order does matter for a permutation - but does not matter for a combination.
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.
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

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

8. What causes 80% of errors on the math section of the GRE?
1/x^n For example - 6-² = 1/6² = 1/36
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Not reading the problems carefully enough!
Probability A * Probability B

9. An integer is divisible by 9 if...
V=s³
An integer is divisible by 9 if the sum of its digits is divisible by 9.
V=pr²h (This is just the area multiplied by the height)
It will be a great advantage on test day to have your times table memorized from 1 through 15.

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

11. What is the equation for a group problem?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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
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.
A 90-degree angle.

12. List two odd behaviors of exponents
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.
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.
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
(0 -0)

13. What kind of triangle is this: has two sides of equal length - and a 90 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
1.4
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.
Not reading the problems carefully enough!

14. HIGH: Area of a triangle?
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
Order does matter for a permutation - but does not matter for a combination.
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.
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.

15. HIGH: how do you calculate a diagonal inside a 3-dimensional rectangular box?
An integer is divisible by 9 if the sum of its digits is divisible by 9.
Example: 1 < x < 10
For RIGHT triangles only: c² = a² + b² 'c' is the length of the hypotenuse; 'a' and 'b' are the other two sides ('legs')
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

16. HIGH: What is a 'Right isosceles' triangle?
The total # of possible outcomes.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.

17. HIGH: Volume of a cube?
V=pr²h (This is just the area multiplied by the height)
V=s³
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
1.4

18. What degree angle is a line?
S*v2
An integer is divisible by 5 if its units digit is either 0 or 5.
A line is a 180-degree angle.
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.

19. 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% |
Arrangements - orders - schedules - or lists.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
(x+y)²

20. How do you calculate the percentage of change?
Percentage Change = Difference/Original * 100
A line is a 180-degree angle.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
The value that appears most often in a data set.

21. HIGH: Describe how to deal with 2 sets of parentheses.
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |
Favorable Outcomes/Total Possible Outcomes
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)+
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.

22. In a coordinate system - what is the origin?
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.
Find the total - or whole - first - and then set up a Ratio Box.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(0 -0)

23. List all the prime numbers that are less than 30:
Groups - teams - or committees.
360 degrees
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.

24. How is a range expressed with inequalities?
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.
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
Example: 1 < x < 10
Between 0 and 1.

25. Probability Formula
Groups - teams - or committees.
Favorable Outcomes/Total Possible Outcomes
A=pr²
(a+b)(a-b)

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

27. HIGH: How do you multiply and divide square roots?
Not reading the problems carefully enough!
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

28. Convert to a percentage: 4/5
80%
V=pr²h (This is just the area multiplied by the height)
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
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.

29. HIGH: To divide powers with the same base...
Arrangements - orders - schedules - or lists.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(0 -0)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

30. 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
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
1/x^n For example - 6-² = 1/6² = 1/36
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

31. How do you solve a permutation?
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
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.
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

32. Area of a parallelogram?
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.
Bh
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
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

33. Define the mode of a set of numbers.
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.
80%
(x-y)²
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.

34. HIGH: What is the order of math operations - and the mnemonic to remember it?
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
An integer is divisible by 9 if the sum of its digits is divisible by 9.
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.
It will be a great advantage on test day to have your times table memorized from 1 through 15.

35. Explain the difference between a digit and a number.

36. HIGH: What is the median?
The # falling in the center of an ordered data set
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.
Percentage Change = Difference/Original * 100
S*v2

37. HIGH: How do you calculate the circumference of a circle?
Bh
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.
2pr -or- pd
(a+b)(a-b)

38. HIGH: What is the Pythagorean theorem?

39. Explain how to divide fractions.
360 degrees
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.
S*v2
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4

40. The three interior angles of a triangle add up to...
180 degrees
(# 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
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

41. a² - b² is equal to
(a+b)(a-b)
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)+
Not necessarily. This is a trick question - because x could be either positive or negative.
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

42. For a bell curve - what three terms might be used to describe the number in the middle?
The average - mean - median - or mode.
(0 -0)
S*v2
Bh

43. What number goes on the bottom of a probability fraction?
The total # of possible outcomes.
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
(x+y)²
V=pr²h (This is just the area multiplied by the height)

44. Convert to a percentage: 2/5
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%.
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.
40%
1/x^n For example - 6-² = 1/6² = 1/36

45. Explain how to solve for 7/¼
1. Given event A: A + notA = 1.
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
Multiply numerator times numerator and denominator times denominator.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

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

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

48. Explain the difference between handling a permutation versus a combination.
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
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.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

49. What is the formula to determine probability?
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
The # falling in the center of an ordered data set
(x-y)²
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.

50. If something is certain to happen - how is the probability of this event expressed mathematically?
1/1
A line is a 180-degree angle.
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
Favorable Outcomes/Total Possible Outcomes