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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% |
y = mx + b -- where: x -y are the coordinates of any point on the line (allows you to locate) m is the slope of the line b is the intercept (where the line crosses the y-axis) Sometimes on the GRE - 'a' is substituted for 'm' - as in 'y = ax + b'.
Probability A * Probability B
Percentage Change = Difference/Original * 100

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

3. What is the sum of any 'big' angle and any 'Small' angle?
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.
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
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
180 degrees.

4. An integer is divisible by 3 if...
4 angles are formed. Their sum is 360 degrees
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.
An integer is divisible by 9 if the sum of its digits is divisible by 9.
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.

5. HIGH: What is the mode?
Example: 1 < x < 10
The value that appears most often in a data set.
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.
2r

6. What do combination problems usually ask for?
60%
Groups - teams - or committees.
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.
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%.

7. What'S the most important thing to remember about charts you'll see on the GRE?
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.
3:4:5 5:12:13
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.
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.

8. What is the factored version of x² -2xy + 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.
(x-y)²
(x+y)(x-y)
Example: 1 < x < 10

9. How do you add or subtract fractions?
2
Find a common denominator and make equivalent fractions. Then add or subtract.
Order does matter for a permutation - but does not matter for a combination.
1.7

10. For a bell curve - what three terms might be used to describe the number in the middle?
The average - mean - median - or mode.
Probability A + Probability B
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.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

11. HIGH: Volume of a cylinder?
4 angles are formed. Their sum is 360 degrees
Favorable Outcomes/Total Possible Outcomes
360 degrees
V=pr²h (This is just the area multiplied by the height)

12. Probability Formula
Favorable Outcomes/Total Possible Outcomes
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.
2pr -or- pd

13. What number goes on the bottom of a probability fraction?
The total # of possible outcomes.
180 degrees
3:4:5 5:12:13
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)

14. What is the 'distributive law'?
The average - mean - median - or mode.
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.
Order does matter for a permutation - but does not matter for a combination.
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28

15. HIGH: Area of a triangle?
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
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.
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.

16. On the GRE - should you ever assume that diagrams are truthful?
3:4:5 5:12:13
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
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 - and greater than the difference between the other two sides.

17. HIGH: Rough est. of v2 =
An integer is divisible by 5 if its units digit is either 0 or 5.
1.4
(x-y)²
Bh

18. The probability of an event happening and the probability of an event NOT happening must add up to what number?
It will be a great advantage on test day to have your times table memorized from 1 through 15.
1. Given event A: A + notA = 1.
S²
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

19. Solve this: v6 * -v6 = ?
A=pr²
6
(x+y)²
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4

20. What is the 'Third side' rule for triangles?
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
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.
It will be a great advantage on test day to have your times table memorized from 1 through 15.

21. HIGH: How much of your times table should you know - for the GRE?
Probability A + Probability B
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
It will be a great advantage on test day to have your times table memorized from 1 through 15.
A 90-degree angle.

22. Convert to a percentage: 1/4
V=s³
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.
40%
25%

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

24. HIGH: What is the formula for the diagonal of any square?
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
S*v2
The average - mean - median - or mode.
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |

25. The three exterior angles of a triangle add up to...
360 degrees
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
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

26. HIGH: What is the equation of a line?

27. Explain how to use a 'Rate Pie'
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

28. How do you calculate the probability of two events in a row? (Probability of A and B)
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=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
Probability A * Probability B
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.

29. Convert to a percentage: 2/5
40%
A triangle in which one of the three interior angles is 90 degrees.
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.
180 degrees

30. HIGH: What numbers does ETS hope you'll forget to consider - for quant comp questions?
x² -2xy + y²
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
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

31. Convert to a percentage: 4/5
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
Probability A + Probability B
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.
80%

32. HIGH: Volume of a cube?
V=s³
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
A 90-degree angle.
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.

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

34. If x² = 144 - does v144 = x?
Not necessarily. This is a trick question - because x could be either positive or negative.
(0 -0)
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.
90 degrees each.

35. 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
An integer is divisible by 2 if its units digit is divisible by 2.
The value that appears most often in a data set.
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.

36. HIGH: What is the order of math operations - and the mnemonic to remember it?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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
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%.

37. What is the key to dealing with ratio questions?
Not reading the problems carefully enough!
Find the total - or whole - first - and then set up a Ratio Box.
80%
x² + 2xy + y²

38. HIGH: how do you calculate the surface area of a rectangular box?
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.
A radius
A 90-degree angle.
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.

39. HIGH: How do you calculate the circumference of a circle?
25%
2pr -or- pd
An integer is divisible by 5 if its units digit is either 0 or 5.
Probability A * Probability B

40. HIGH: What is the unfactored version of (x+y)² ?
2r
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.
x² + 2xy + y²
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.

41. HIGH: How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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 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
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.

42. How do you solve a permutation?
An integer is divisible by 5 if its units digit is either 0 or 5.
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
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.
25%

43. HIGH: What is the median?
The # falling in the center of an ordered data set
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.
(x+y)(x-y)
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.

44. List all the prime numbers that are less than 30:
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.

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

46. HIGH: what is the side ratio for a Right Isosceles triangle?
1/1
V=pr²h (This is just the area multiplied by the height)
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

47. If something is possible but not certain - what is the numeric range of probability of it happening?
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
Between 0 and 1.
Find the total - or whole - first - and then set up a Ratio Box.
80%

48. Explain the difference between handling a permutation versus a combination.
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.
180 degrees.
y = mx + b -- where: x -y are the coordinates of any point on the line (allows you to locate) m is the slope of the line b is the intercept (where the line crosses the y-axis) Sometimes on the GRE - 'a' is substituted for 'm' - as in 'y = ax + b'.
The value that appears most often in a data set.

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

50. Simplify this: v32
60%
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
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