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GRE High Frequency Math Terms

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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. An integer is divisible by 9 if...
1.4
Bh
An integer is divisible by 9 if the sum of its digits is divisible by 9.
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. Define the range of a set of numbers.
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.
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.
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 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.

3. If x² = 144 - does v144 = x?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Arrangements - orders - schedules - or lists.
Not necessarily. This is a trick question - because x could be either positive or negative.
1. Given event A: A + notA = 1.

4. Convert to a percentage: 1/4
25%
Not reading the problems carefully enough!
A 90-degree angle.
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3

5. HIGH: Describe how to deal with 2 sets of parentheses.
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.
60%
x²-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)+

6. HIGH: Rough est. of v1 =
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
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.

7. List all the prime numbers that are less than 30:
360 degrees
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.
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |

8. HIGH: What is the unfactored version of (x-y)² ?
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
A triangle in which one of the three interior angles is 90 degrees.
Probability A * Probability B
x² -2xy + y²

9. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
1/x^n For example - 6-² = 1/6² = 1/36
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.
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.

10. An integer is divisible by 2 if...
(0 -0)
Groups - teams - or committees.
An integer is divisible by 2 if its units digit is divisible by 2.
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions

11. The three exterior angles of a triangle add up to...
360 degrees
180 degrees.
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. Given event A: A + notA = 1.

12. HIGH: What is the median?
4 angles are formed. Their sum is 360 degrees
S²
The # falling in the center of an ordered data set
6

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

14. Diameter of a circle?
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.
Not necessarily. This is a trick question - because x could be either positive or negative.
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)+
2r

15. List two odd behaviors of exponents
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%.
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.
1.4
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.

16. For a bell curve - what three terms might be used to describe the number in the middle?
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)+
1. Given event A: A + notA = 1.
The average - mean - median - or mode.
'Big' angles and 'Small' angles.

17. HIGH: what is the side ratio for a Right Isosceles triangle?
80%
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.
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.

18. What is the equation for a group problem?
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
1/1
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
1.7

19. HIGH: How much of your times table should you know - for the GRE?
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
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.
It will be a great advantage on test day to have your times table memorized from 1 through 15.
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.

20. HIGH: x^-n is equal to
x² + 2xy + y²
1/x^n For example - 6-² = 1/6² = 1/36
1.7
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.

21. Explain how to use a 'Rate Pie'
The average - mean - median - or mode.
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.
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 90-degree angle.

22. HIGH: Rough est. of v2 =
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
25%
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.
1.4

23. HIGH: how do you calculate the surface area of a rectangular box?
A 90-degree angle.
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
(x+y)(x-y)
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.

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

25. Solve this: v6 * -v6 = ?
Order does matter for a permutation - but does not matter for a combination.
6
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.
An integer is divisible by 2 if its units digit is divisible by 2.

26. HIGH: how do you calculate a diagonal inside a 3-dimensional rectangular box?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
2r
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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

27. How do you calculate the percentage of change?
Arrangements - orders - schedules - or lists.
Percentage Change = Difference/Original * 100
Favorable Outcomes/Total Possible Outcomes
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.

28. Area of a parallelogram?
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
Bh
Arrangements - orders - schedules - or lists.
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

29. Does order matter for a permutation? How about for a combination?
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.
Example: 1 < x < 10
Order does matter for a permutation - but does not matter for a combination.
The value that appears most often in a data set.

30. What is the 'Third side' rule for triangles?
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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 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.
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)

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

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

33. Convert to a percentage: 4/5
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Between 0 and 1.
80%
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.

34. HIGH: What is a '30:60:90' 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
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1.4
The value that appears most often in a data set.

35. What is an 'equilateral' triangle?
Probability A + Probability B
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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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.

36. How do you multiply 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.
Multiply numerator times numerator and denominator times denominator.
4 angles are formed. Their sum is 360 degrees
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.

37. How do you divide fractions?
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'.
It will be a great advantage on test day to have your times table memorized from 1 through 15.
Invert the second fraction (reciprocal) and multiply
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

38. HIGH: What numbers does ETS hope you'll forget to consider - for quant comp questions?
Bh
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.
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
1.7

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

40. In a coordinate system - what is the origin?
An integer is divisible by 5 if its units digit is either 0 or 5.
(0 -0)
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
It will be a great advantage on test day to have your times table memorized from 1 through 15.

41. What is the 'distributive law'?
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
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.
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.
x² -2xy + y²

42. HIGH: List the two most common side ratios for right triangles
4 angles are formed. Their sum is 360 degrees
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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.
3:4:5 5:12:13

43. What degree angle is a line?
1.4
A line is a 180-degree angle.
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%.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

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

45. HIGH: Area of a triangle?
Favorable Outcomes/Total Possible Outcomes
x²-y²
60%
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.

46. What are the side ratios for a 30:60:90 triangle?
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)+
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

47. HIGH: What is the mode?
The value that appears most often in a data set.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
An integer is divisible by 9 if the sum of its digits is divisible by 9.
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.

48. Area of a square?
60%
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
S²
A line is a 180-degree angle.

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

50. Explain the special properties of zero.
60%
Order does matter for a permutation - but does not matter for a combination.
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.
25%