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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: Area of a circle
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
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
A=pr²
(x+y)²

2. The three interior angles of a triangle add up to...
Favorable Outcomes/Total Possible Outcomes
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
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
180 degrees

3. HIGH: To divide powers with the same base...
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
80%
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.

4. HIGH: What is a 'Right isosceles' triangle?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
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.

5. What is a 'Right' angle?
1. Given event A: A + notA = 1.
A 90-degree angle.
1
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

6. An integer is divisible by 3 if...
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
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.

7. What is the key to dealing with ratio questions?
Find the total - or whole - first - and then set up a Ratio Box.
A radius
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
90 degrees each.

8. Probability Formula
Favorable Outcomes/Total Possible Outcomes
A line is a 180-degree angle.
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.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

9. How do you divide fractions?
Invert the second fraction (reciprocal) and multiply
A=pr²
80%
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

10. In a coordinate system - identify the quadrants and describe their location.
A triangle in which one of the three interior angles is 90 degrees.
A=pr²
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
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

11. If something is certain to happen - how is the probability of this event expressed mathematically?
(x+y)²
The # falling in the center of an ordered data set
1/1
Bh

12. HIGH: Area of a triangle?
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
Percentage Change = Difference/Original * 100
Groups - teams - or committees.
The # falling in the center of an ordered data set

13. HIGH: What is the median?
2pr -or- pd
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
4 angles are formed. Their sum is 360 degrees
The # falling in the center of an ordered data set

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

15. Convert to a percentage: 4/5
6
3:4:5 5:12:13
80%
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.

16. HIGH: What is the side ratio for a 30:60:90 triangle?
Between 0 and 1.
1/1
2r
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

17. What is the 'distributive law'?
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.
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
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.
(a+b)(a-b)

18. Area of a parallelogram?
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.
Bh
180 degrees
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.

19. HIGH: Rough est. of v3 =
1.4
Probability A + Probability B
360 degrees
1.7

20. Area of a square?
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
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.
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.
S²

21. HIGH: how do you calculate a diagonal inside a 3-dimensional rectangular box?
1. Given event A: A + notA = 1.
It will be a great advantage on test day to have your times table memorized from 1 through 15.
(x+y)²
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

22. HIGH: What is the Pythagorean theorem?

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

24. An integer is divisible by 9 if...
Find the total - or whole - first - and then set up a Ratio Box.
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.
An integer is divisible by 2 if its units digit is divisible by 2.
An integer is divisible by 9 if the sum of its digits is divisible by 9.

25. How do you calculate the probability of two events in a row? (Probability of A and B)
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.
Probability A * Probability B
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.
The total # of possible outcomes.

26. Define a factorial of a number - and how it is written.
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.
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.
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

27. Convert to a percentage: 1/4
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.
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
25%
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

28. Solve this: v6 * -v6 = ?
The total # of possible outcomes.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
6
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.

29. HIGH: Define the formula for calculating slope.
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Groups - teams - or committees.

30. HIGH: What is the factored version of x² + 2xy + y² ?
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
(0 -0)
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.
(x+y)²

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

32. How do you solve a permutation?
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.
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
6

33. 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
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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
A 90-degree angle.

34. HIGH: How much of your times table should you know - for the GRE?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
It will be a great advantage on test day to have your times table memorized from 1 through 15.
x²-y²
The # falling in the center of an ordered data set

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

36. HIGH: What is the formula for the diagonal of any square?
1/x^n For example - 6-² = 1/6² = 1/36
S*v2
180 degrees.
Multiply numerator times numerator and denominator times denominator.

37. a² - b² is equal to
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
(a+b)(a-b)
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
25%

38. What do permutation problems often ask for?
4 angles are formed. Their sum is 360 degrees
Arrangements - orders - schedules - or lists.
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.
2

39. HIGH: How do you multiply powers with the same base?
An integer is divisible by 2 if its units digit is divisible by 2.
The # falling in the center of an ordered data set
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
90 degrees each.

40. Convert to a percentage: 3/5
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.
2r
Probability A * Probability B
60%

41. How do you multiply fractions?
Multiply numerator times numerator and denominator times denominator.
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.
2pr -or- pd
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

42. v4 =
2r
2
90 degrees each.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

43. An integer is divisible by 5 if...
80%
An integer is divisible by 5 if its units digit is either 0 or 5.
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.

44. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
Favorable Outcomes/Total Possible Outcomes
That they often have not just one answer - but two. For example - solving x² -10x + 24 = 0 factors to (x-4)(x-6)=0 - which means x could equal either 4 or 6. Just accept it.
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.

45. What'S one way to avoid mistakes on algebra questions in the GRE?

46. HIGH: What is the factored version of (x+y)(x-y) ?
x²-y²
Find the total - or whole - first - and then set up a Ratio Box.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Arrangements - orders - schedules - or lists.

47. 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
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
Find the total - or whole - first - and then set up a Ratio Box.
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.

48. HIGH: How do you calculate the circumference 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.
1. Given event A: A + notA = 1.
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
2pr -or- pd

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

50. Explain the special properties of zero.
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.
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
Find the total - or whole - first - and then set up a Ratio Box.
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%.