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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. Simplify this: v32
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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

2. HIGH: Rough est. of v1 =
1
1/1
The # falling in the center of an ordered data set
A radius

3. Define the mode of a set of numbers.
3:4:5 5:12:13
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.
2pr -or- pd
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.

4. Define 'proportionate' values
x² + 2xy + y²
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. 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.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

5. Convert to a percentage: 2/5
40%
1.7
Bh
80%

6. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
(x+y)(x-y)
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.
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.
Example: 1 < x < 10

7. An integer is divisible by 2 if...
An integer is divisible by 2 if its units digit is divisible by 2.
The average - mean - median - or mode.
6
A line is a 180-degree angle.

8. 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.
Not necessarily. This is a trick question - because x could be either positive or negative.
2pr -or- pd
A radius

9. In a coordinate system - what is the origin?
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |
(0 -0)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
1. Given event A: A + notA = 1.

10. HIGH: What is the factored version of x² + 2xy + y² ?
S*v2
(x+y)²
1/x^n For example - 6-² = 1/6² = 1/36
Probability A * Probability B

11. How do you calculate the probability of two events in a row? (Probability of A and B)
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
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.
80%

12. 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.
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.
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'.
(0 -0)

13. What causes 80% of errors on the math section of the GRE?
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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
Not reading the problems carefully enough!
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.

14. HIGH: What are the percentages for standard deviation?
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |
2
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.

15. 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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
2
S²

16. HIGH: what is the side ratio for a Right Isosceles triangle?
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Not reading the problems carefully enough!
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

17. What is a 'Right' angle?
An integer is divisible by 9 if the sum of its digits is divisible by 9.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
A 90-degree angle.

18. HIGH: Area of a circle
A=pr²
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.
90 degrees each.
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.

19. HIGH: What is the unfactored version of (x+y)² ?
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
It will be a great advantage on test day to have your times table memorized from 1 through 15.
x² + 2xy + y²
Example: 1 < x < 10

20. An integer is divisible by 3 if...
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.
80%
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.

21. The three interior angles of a triangle add up to...
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
180 degrees
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Multiply numerator times numerator and denominator times denominator.

22. HIGH: How do you multiply and divide square roots?
2
Find the total - or whole - first - and then set up a Ratio Box.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
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.

23. Explain how to solve for 7/¼
For RIGHT triangles only: c² = a² + b² 'c' is the length of the hypotenuse; 'a' and 'b' are the other two sides ('legs')
S*v2
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3

24. An integer is divisible by 9 if...
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.
The # falling in the center of an ordered data set
An integer is divisible by 9 if the sum of its digits is divisible by 9.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

25. How do you multiply fractions?
x² -2xy + y²
A line is a 180-degree angle.
25%
Multiply numerator times numerator and denominator times denominator.

26. HIGH: how do you calculate a diagonal inside a 3-dimensional rectangular box?
A line is a 180-degree angle.
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
A triangle in which one of the three interior angles is 90 degrees.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

27. HIGH: What is the unfactored version of (x-y)² ?
x² -2xy + y²
The total # of possible outcomes.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

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

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29. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
Probability A * Probability B
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
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.
Probability A + Probability B

30. HIGH: What is a 'Right isosceles' triangle?
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
Invert the second fraction (reciprocal) and multiply
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.
6

31. What are the side ratios for a 30:60:90 triangle?
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
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.
A=pr²

32. Area of a square?
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.
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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
S²

33. How many degrees does a circle contain?
360 degrees
2r
1.4
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.

34. HIGH: What is a '30:60:90' triangle?
1. Given event A: A + notA = 1.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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
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

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

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36. HIGH: how do you calculate the surface area of a rectangular box?
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.
60%
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
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.

37. HIGH: Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
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
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.
A=pr²

38. HIGH: List the two most common side ratios for right triangles
Probability A * Probability B
3:4:5 5:12:13
An integer is divisible by 9 if the sum of its digits is divisible by 9.
A radius

39. Convert to a percentage: 3/5
60%
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=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4

40. HIGH: How much of your times table should you know - for the GRE?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
It will be a great advantage on test day to have your times table memorized from 1 through 15.

41. Convert to a percentage: 1/4
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
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.
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%.
25%

42. HIGH: x^-n is equal to
1/x^n For example - 6-² = 1/6² = 1/36
1. Given event A: A + notA = 1.
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
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.

43. What degree angle is a line?
3:4:5 5:12:13
1
A line is a 180-degree angle.
Bh

44. Area of a parallelogram?
Between 0 and 1.
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.
Bh
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.

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

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

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47. HIGH: What numbers does ETS hope you'll forget to consider - for quant comp questions?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
1.4

48. What do permutation problems often ask for?
Arrangements - orders - schedules - or lists.
An integer is divisible by 5 if its units digit is either 0 or 5.
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.
S²

49. Diameter of a circle?
Multiply numerator times numerator and denominator times denominator.
2r
6
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.

50. HIGH: Rough est. of v2 =
A radius
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.
2r
1.4