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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. How many angles are formed when 2 lines intersect? and what is the sum of these angles?
Not necessarily. This is a trick question - because x could be either positive or negative.
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.
Probability A * Probability B
4 angles are formed. Their sum is 360 degrees

2. HIGH: Volume of a cube?
V=s³
2
Probability A * Probability B
180 degrees.

3. HIGH: Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
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.
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
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)+
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.

4. HIGH: How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
90 degrees each.
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.
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.

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

6. For a bell curve - what three terms might be used to describe the number in the middle?
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.
4 angles are formed. Their sum is 360 degrees
The average - mean - median - or mode.
V=s³

7. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
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.
Probability A + Probability B
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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

8. HIGH: What is the unfactored version of (x+y)² ?
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.
1
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.
x² + 2xy + y²

9. How do you solve a permutation?
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.
Arrangements - orders - schedules - or lists.
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 9 if the sum of its digits is divisible by 9.

10. How do you add or subtract fractions?
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% |
x² + 2xy + y²
Find a common denominator and make equivalent fractions. Then add or subtract.

11. HIGH: What is a '30:60:90' triangle?
Invert the second fraction (reciprocal) and multiply
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.
1/1
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

12. HIGH: What is the unfactored version of (x-y)² ?
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
x² -2xy + y²
The # falling in the center of an ordered data set
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.

13. HIGH: What is the unfactored version of x²-y² ?
It will be a great advantage on test day to have your times table memorized from 1 through 15.
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
(x+y)(x-y)
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.

14. HIGH: What is the side ratio for a 30:60:90 triangle?
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.
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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.

15. What is the 'Third side' rule for triangles?
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
(a+b)(a-b)
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.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

16. HIGH: How do you calculate the circumference of a circle?
1
1. Given event A: A + notA = 1.
6
2pr -or- pd

17. HIGH: Volume of a cylinder?
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=pr²h (This is just the area multiplied by the height)
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
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

18. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
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
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.
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.
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.

19. An integer is divisible by 2 if...
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
Bh
An integer is divisible by 2 if its units digit is divisible by 2.
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.

20. How do you calculate the percentage of change?
An integer is divisible by 9 if the sum of its digits is divisible by 9.
3:4:5 5:12:13
Percentage Change = Difference/Original * 100
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.

21. HIGH: What is the order of math operations - and the mnemonic to remember it?
4 angles are formed. Their sum is 360 degrees
180 degrees.
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. 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

22. An integer is divisible by 5 if...
An integer is divisible by 5 if its units digit is either 0 or 5.
An integer is divisible by 2 if its units digit is divisible by 2.
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

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

24. What do combination problems usually ask for?
S*v2
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
80%
Groups - teams - or committees.

25. Simplify this: v32
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
'Big' angles and 'Small' angles.
Example: 1 < x < 10
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.

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

27. HIGH: What is the factored version of (x+y)(x-y) ?
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.
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.
x²-y²
For RIGHT triangles only: c² = a² + b² 'c' is the length of the hypotenuse; 'a' and 'b' are the other two sides ('legs')

28. Define the range of a set of numbers.
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.
80%
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.
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

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

30. What is the factored version of x² -2xy + y² ?
(x-y)²
2r
80%
Invert the second fraction (reciprocal) and multiply

31. Explain how to solve for 7/¼
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
(0 -0)
Probability A * Probability B

32. HIGH: Area of a circle
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.
Find the total - or whole - first - and then set up a Ratio Box.
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=pr²

33. HIGH: What is the mode?
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.
360 degrees
An integer is divisible by 2 if its units digit is divisible by 2.
The value that appears most often in a data set.

34. How is a range expressed with inequalities?
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.
Invert the second fraction (reciprocal) and multiply
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
Example: 1 < x < 10

35. How do you calculate the probability of two events in a row? (Probability of A and B)
90 degrees each.
180 degrees.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Probability A * Probability B

36. On the GRE - should you ever assume that diagrams are truthful?
1
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
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
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.

37. Define the mode of a set of numbers.
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 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.
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.
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

38. What is a 'Right' triangle?
Favorable Outcomes/Total Possible Outcomes
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.
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.

39. HIGH: What are the percentages for standard deviation?
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)+
Favorable Outcomes/Total Possible Outcomes
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |

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

41. Explain the difference between handling a permutation versus a combination.
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.
1.7
180 degrees
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.

42. a² - b² is equal to
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.
(a+b)(a-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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

43. Area of a parallelogram?
An integer is divisible by 5 if its units digit is either 0 or 5.
Bh
25%
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.

44. HIGH: Simplify this: v75/v27
Example: 1 < x < 10
A=pr²
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.

45. HIGH: How do you multiply powers with the same base?
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.
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.
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)+
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

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

47. HIGH: What is the formula for the diagonal of any square?
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%.
S*v2
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

48. An integer is divisible by 9 if...
An integer is divisible by 9 if the sum of its digits is divisible by 9.
60%
Probability A + Probability B
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.

49. HIGH: Area of a triangle?
360 degrees
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
'Big' angles and 'Small' angles.
(a+b)(a-b)

50. How many degrees does a circle contain?
360 degrees
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
x²-y²
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.