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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. Define a factorial of a number - and how it is written.
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
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.
Percentage Change = Difference/Original * 100
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. What'S a handy rough estimate for a circle'S perimeter - if you know it'S diameter?

3. In a coordinate system - what is the origin?
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.
(0 -0)
Example: 1 < x < 10
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions

4. What number goes on the bottom of a probability fraction?
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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
It will be a great advantage on test day to have your times table memorized from 1 through 15.
The total # of possible outcomes.

5. Area of a parallelogram?
x² + 2xy + y²
A 90-degree angle.
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
Bh

6. a² - b² is equal to
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
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.
(a+b)(a-b)
2pr -or- pd

7. Define 'proportionate' values
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
The average - mean - median - or mode.
Groups - teams - or committees.
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.

8. HIGH: How do you calculate the circumference of a circle?
1.7
Find a common denominator and make equivalent fractions. Then add or subtract.
2pr -or- pd
S*v2

9. An integer is divisible by 9 if...
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
An integer is divisible by 9 if the sum of its digits is divisible by 9.
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.
The average - mean - median - or mode.

10. List two odd behaviors of exponents
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.
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
Percentage Change = Difference/Original * 100
x²-y²

11. Convert to a percentage: 2/5
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.
A 90-degree angle.
40%

12. An integer is divisible by 3 if...
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
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.
25%
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.

13. HIGH: Define the formula for calculating slope.
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.
2r
180 degrees.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

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

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

16. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
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)+
x²-y²
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

17. Explain how to use an 'Average Pie'
3:4:5 5:12:13
80%
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

18. An integer is divisible by 2 if...
Probability A * Probability B
x²-y²
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.

19. An integer is divisible by 8 if...

20. What is the sum of any 'big' angle and any 'Small' angle?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
2r
180 degrees.
The value that appears most often in a data set.

21. HIGH: How much of your times table should you know - for the GRE?
S²
It will be a great advantage on test day to have your times table memorized from 1 through 15.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
360 degrees

22. HIGH: List the two most common side ratios for right triangles
3:4:5 5:12:13
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
180 degrees
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

23. When 2 lines are perpendicular to each other - their intersection forms 4 angles. What degree are these 4 angles?
90 degrees each.
40%
V=pr²h (This is just the area multiplied by the height)
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

24. What is the 'Third side' rule for triangles?
360 degrees
The # falling in the center of an ordered data set
V=s³
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.

25. How is a range expressed with inequalities?
Example: 1 < x < 10
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
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'.
S*v2

26. HIGH: Rough est. of v2 =
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 triangle in which one of the three interior angles is 90 degrees.
1.4
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.

27. HIGH: How do you multiply and divide square roots?
Arrangements - orders - schedules - or lists.
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
The average - mean - median - or mode.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

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

29. HIGH: What is the unfactored version of (x+y)² ?
180 degrees.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
x² + 2xy + y²
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

30. Define the mode of a set of numbers.
The # falling in the center of an ordered data set
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |
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.
Find a common denominator and make equivalent fractions. Then add or subtract.

31. What are 'vertical angles'?
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
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.
Arrangements - orders - schedules - or lists.

32. HIGH: What is the factored version of (x+y)(x-y) ?
2
4 angles are formed. Their sum is 360 degrees
x²-y²
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.

33. HIGH: What is the formula for the diagonal of any square?
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(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.
S*v2
(x+y)(x-y)

34. Explain how to calculate an average (arithmetic mean)
25%
Find the total - or whole - first - and then set up a Ratio Box.
360 degrees
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3

35. HIGH: What is the factored version of x² + 2xy + y² ?
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
(x+y)²
The total # of possible outcomes.
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.

36. Convert to a percentage: 1/4
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
25%
V=pr²h (This is just the area multiplied by the height)
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.

37. How do you calculate the percentage of change?
1/x^n For example - 6-² = 1/6² = 1/36
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.
Percentage Change = Difference/Original * 100
90 degrees each.

38. HIGH: Rough est. of v1 =
The value that appears most often in a data set.
1
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)

39. What are the side ratios for a 30:60:90 triangle?
(x+y)(x-y)
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

40. An integer is divisible by 5 if...
An integer is divisible by 5 if its units digit is either 0 or 5.
1.4
Percentage Change = Difference/Original * 100
Favorable Outcomes/Total Possible Outcomes

41. How do you add or subtract fractions?
180 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
Example: 1 < x < 10
Find a common denominator and make equivalent fractions. Then add or subtract.

42. Solve this: v6 * -v6 = ?
Groups - teams - or committees.
6
Example: 1 < x < 10
Arrangements - orders - schedules - or lists.

43. v4 =
Find a common denominator and make equivalent fractions. Then add or subtract.
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.
x²-y²
2

44. HIGH: What is the side ratio for a 30:60:90 triangle?
(x-y)²
A triangle in which one of the three interior angles is 90 degrees.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.

45. How do you calculate the probability of two events in a row? (Probability of A and B)
Probability A * Probability B
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)+
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.
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)

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

47. What is the name of a line that extends from the center of a circle to the edge of a circle?
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
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.
A radius
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.

48. HIGH: how do you calculate a diagonal inside a 3-dimensional rectangular box?
The value that appears most often in a data set.
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
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
For RIGHT triangles only: c² = a² + b² 'c' is the length of the hypotenuse; 'a' and 'b' are the other two sides ('legs')

49. What is the formula to determine probability?
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
Between 0 and 1.
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.
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)+

50. HIGH: What is the mode?
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.
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 value that appears most often in a data set.
Arrangements - orders - schedules - or lists.