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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 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% |
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.
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.
Percentage Change = Difference/Original * 100

2. List all the prime numbers that are less than 30:
Example: 1 < x < 10
A 90-degree angle.
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
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

3. What is the name of a line that extends from the center of a circle to the edge of a circle?
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.
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
S*v2
A radius

4. HIGH: Area of a triangle?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
25%
Find the total - or whole - first - and then set up a Ratio Box.

5. Convert to a percentage: 1/4
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 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.
Find the total - or whole - first - and then set up a Ratio Box.
25%

6. Explain the special properties of zero.
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.
Not reading the problems carefully enough!
A triangle in which one of the three interior angles is 90 degrees.

7. The three exterior angles of a triangle add up to...
2pr -or- pd
360 degrees
180 degrees.
S²

8. HIGH: What is the formula for the diagonal of any square?
S*v2
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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.

9. On the GRE - should you ever assume that diagrams are truthful?
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
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
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
Not reading the problems carefully enough!

10. How do you add or subtract fractions?
Find a common denominator and make equivalent fractions. Then add or subtract.
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 average - mean - median - or mode.
Find the total - or whole - first - and then set up a Ratio Box.

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

12. HIGH: x^-n is equal to
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.
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
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.

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

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

15. HIGH: What is the mode?
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.
V=s³
(x+y)²
The value that appears most often in a data set.

16. What is the formula to determine probability?
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
Not reading the problems carefully enough!
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.
Multiply numerator times numerator and denominator times denominator.

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

18. HIGH: Rough est. of v3 =
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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
1.7
A triangle in which one of the three interior angles is 90 degrees.

19. Area of a parallelogram?
An integer is divisible by 5 if its units digit is either 0 or 5.
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.
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
Bh

20. Diameter of a circle?
2r
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.
Percentage Change = Difference/Original * 100
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

21. An integer is divisible by 2 if...
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.
An integer is divisible by 2 if its units digit is divisible by 2.
25%
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.

22. What is an 'equilateral' triangle?
An integer is divisible by 5 if its units digit is either 0 or 5.
(x-y)²
1.4
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

23. An integer is divisible by 3 if...
A radius
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 circle'S perimeter is roughly 3x its diameter (the formula is pd).
The # falling in the center of an ordered data set

24. In a coordinate system - what is the origin?
6
(0 -0)
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
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.

25. 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.
An integer is divisible by 2 if its units digit is divisible by 2.
V=s³
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.

26. HIGH: how do you calculate a diagonal inside a 3-dimensional rectangular box?
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
3:4:5 5:12:13

27. For a bell curve - what three terms might be used to describe the number in the middle?
The average - mean - median - or mode.
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.
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.
For RIGHT triangles only: c² = a² + b² 'c' is the length of the hypotenuse; 'a' and 'b' are the other two sides ('legs')

28. HIGH: How do you calculate the circumference of a circle?
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
2r
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.

29. HIGH: How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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.
Not necessarily. This is a trick question - because x could be either positive or negative.
Invert the second fraction (reciprocal) and multiply

30. An integer is divisible by 5 if...
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.
An integer is divisible by 5 if its units digit is either 0 or 5.
Invert the second fraction (reciprocal) and multiply
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%.

31. An integer is divisible by 9 if...
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
An integer is divisible by 9 if the sum of its digits is divisible by 9.
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
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.

32. What is the equation for a group problem?
3:4:5 5:12:13
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
Percentage Change = Difference/Original * 100
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.

33. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
Not necessarily. This is a trick question - because x could be either positive or negative.
(0 -0)
V=s³
Probability A + Probability B

34. If something is possible but not certain - what is the numeric range of probability of it happening?
Between 0 and 1.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Favorable Outcomes/Total Possible Outcomes
3:4:5 5:12:13

35. Explain how to use a 'Rate Pie'
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.
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
(a+b)(a-b)
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)

36. HIGH: Rough est. of v1 =
1
An integer is divisible by 5 if its units digit is either 0 or 5.
1.4
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.

37. Simplify this: v32
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
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.
An integer is divisible by 2 if its units digit is divisible by 2.
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.

38. Define 'proportionate' values
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
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
The average - mean - median - or mode.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

39. HIGH: Area of a circle
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
180 degrees.
A=pr²
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.

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

41. How do you calculate the probability of two events in a row? (Probability of A and B)
Probability A * Probability B
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.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Invert the second fraction (reciprocal) and multiply

42. Convert to a percentage: 4/5
80%
The value that appears most often in a data set.
x² + 2xy + y²
2pr -or- pd

43. What is the key to dealing with ratio questions?
60%
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
Find the total - or whole - first - and then set up a Ratio Box.
Bh

44. How many degrees does a circle contain?
25%
1/x^n For example - 6-² = 1/6² = 1/36
360 degrees
For RIGHT triangles only: c² = a² + b² 'c' is the length of the hypotenuse; 'a' and 'b' are the other two sides ('legs')

45. What is a 'Right' triangle?
A triangle in which one of the three interior angles is 90 degrees.
Percentage Change = Difference/Original * 100
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.

46. If something is certain to happen - how is the probability of this event expressed mathematically?
1/1
Probability A + Probability B
S²
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

47. HIGH: What is the unfactored version of x²-y² ?
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.
(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
Find the total - or whole - first - and then set up a Ratio Box.

48. Convert to a percentage: 2/5
40%
Not reading the problems carefully enough!
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.
Percentage Change = Difference/Original * 100

49. Explain how to solve for 7/¼
1.7
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
360 degrees
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

50. 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
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)+
3:4:5 5:12:13
A line is a 180-degree angle.