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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. Explain how to use a 'Rate Pie'
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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
Probability A + Probability B
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.

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

4. Solve this: v6 * -v6 = ?
Not necessarily. This is a trick question - because x could be either positive or negative.
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.
6
Probability A + Probability B

5. The three interior angles of a triangle add up to...
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
A=pr²
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.
180 degrees

6. What is the formula to determine probability?
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
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
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.
x²-y²

7. What number goes on the bottom of a probability fraction?
The total # of possible outcomes.
360 degrees
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
(x+y)(x-y)

8. HIGH: What is the side ratio for a 30:60:90 triangle?
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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=pr²h (This is just the area multiplied by the height)

9. v4 =
x² -2xy + y²
2
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
Not reading the problems carefully enough!

10. How is a range expressed with inequalities?
Multiply numerator times numerator and denominator times denominator.
S*v2
Example: 1 < x < 10
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

11. Probability Formula
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.
Favorable Outcomes/Total Possible Outcomes
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |
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.

12. If x² = 144 - does v144 = x?
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.
Not necessarily. This is a trick question - because x could be either positive or negative.
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.
2

13. HIGH: Define the formula for calculating slope.
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.
Invert the second fraction (reciprocal) and multiply
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

14. HIGH: What is the mode?
Bh
The value that appears most often in a data set.
60%
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.

15. An integer is divisible by 5 if...
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.
1.7
3:4:5 5:12:13
An integer is divisible by 5 if its units digit is either 0 or 5.

16. If something is certain to happen - how is the probability of this event expressed mathematically?
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
Example: 1 < x < 10
1/1
(0 -0)

17. What is the key to dealing with ratio questions?
2
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.
Find the total - or whole - first - and then set up a Ratio Box.
4 angles are formed. Their sum is 360 degrees

18. HIGH: How much of your times table should you know - for the GRE?
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
It will be a great advantage on test day to have your times table memorized from 1 through 15.
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.
2pr -or- pd

19. HIGH: What is the formula for the diagonal of any square?
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+b)(a-b)
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
S*v2

20. HIGH: what is the side ratio for a Right Isosceles triangle?
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 9 if the sum of its digits is divisible by 9.
The total # of possible outcomes.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

21. HIGH: How do you multiply powers with the same base?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
A 90-degree angle.
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.
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

22. An integer is divisible by 2 if...
Multiply numerator times numerator and denominator times denominator.
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
An integer is divisible by 2 if its units digit is divisible by 2.
180 degrees.

23. HIGH: Area of a triangle?
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
Example: 1 < x < 10
40%
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

24. How do you solve a permutation?
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
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
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
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.

25. The three exterior angles of a triangle add up to...
1
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
360 degrees

26. HIGH: Rough est. of v2 =
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 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.
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.
1.4

27. Diameter of a circle?
Example: 1 < x < 10
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.
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
2r

28. HIGH: What is the factored version of x² + 2xy + y² ?
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.
(x+y)²
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
2

29. Explain the special properties of zero.
The # falling in the center of an ordered data set
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.
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.
1.7

30. Area of a square?
Probability A + Probability B
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
S²
360 degrees

31. Explain how to divide fractions.
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
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

32. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
40%
80%
Probability A + Probability B
(a+b)(a-b)

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

34. HIGH: How do you multiply and divide square roots?
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.
1. Given event A: A + notA = 1.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
(x+y)²

35. List all the prime numbers that are less than 30:
x² -2xy + y²
Probability A * Probability B
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.
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.

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

37. 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
A line is a 180-degree angle.
(x+y)²
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

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

39. What is a 'Right' triangle?
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
2pr -or- pd
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
A triangle in which one of the three interior angles is 90 degrees.

40. An integer is divisible by 8 if...

41. Explain how to use an 'Average Pie'
Example: 1 < x < 10
x²-y²
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
Invert the second fraction (reciprocal) and multiply

42. Define a factorial of a number - and how it is written.
1
(x+y)(x-y)
Bh
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.

43. HIGH: Volume of a cylinder?
1.4
V=pr²h (This is just the area multiplied by the height)
Invert the second fraction (reciprocal) and multiply
Probability A + Probability B

44. When 2 lines are perpendicular to each other - their intersection forms 4 angles. What degree are these 4 angles?
The # falling in the center of an ordered data set
90 degrees each.
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
x² + 2xy + y²

45. HIGH: x^-n is equal to
1/x^n For example - 6-² = 1/6² = 1/36
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
The total # of possible outcomes.
x² -2xy + y²

46. HIGH: Explain the process to solve '56 is what percent of 80?'

47. What is the 'Third side' rule for triangles?
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%.
Percentage Change = Difference/Original * 100
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.
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

48. HIGH: What is the unfactored version of (x-y)² ?
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
x² -2xy + y²
Example: 1 < x < 10
A radius

49. Define the range of a set of numbers.
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.
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.
A 90-degree angle.
1/1

50. What is the equation for a group problem?
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 5 if its units digit is either 0 or 5.
Bh
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