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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. When a pair of parallel lines is intersected by another line - two types of angles are formed. What are they?

2. HIGH: How much of your times table should you know - for the GRE?
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
An integer is divisible by 5 if its units digit is either 0 or 5.
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

3. For a bell curve - what three terms might be used to describe the number in the middle?
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
A triangle in which one of the three interior angles is 90 degrees.
The average - mean - median - or mode.

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

5. HIGH: Area of a circle
25%
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
Order does matter for a permutation - but does not matter for a combination.
A=pr²

6. What number goes on the bottom of a probability fraction?
Probability A * Probability B
The total # of possible outcomes.
60%
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |

7. HIGH: Area of a triangle?
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
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
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.
Find a common denominator and make equivalent fractions. Then add or subtract.

8. Convert to a percentage: 3/5
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.
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.
It will be a great advantage on test day to have your times table memorized from 1 through 15.
60%

9. What is the factored version of x² -2xy + y² ?
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.
(x-y)²
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.
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.

10. The three interior angles of a triangle add up to...
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
180 degrees
Bh

11. HIGH: To divide powers with the same base...
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
4 angles are formed. Their sum is 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

12. HIGH: Define the formula for calculating slope.
(x+y)(x-y)
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.
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

13. Explain how to solve for 7/¼
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
1. Given event A: A + notA = 1.
180 degrees

14. What is the formula to determine probability?
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
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.
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
A radius

15. Probability Formula
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%.
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.
Favorable Outcomes/Total Possible Outcomes
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

16. How do you divide fractions?
Invert the second fraction (reciprocal) and multiply
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 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.
Find a common denominator and make equivalent fractions. Then add or subtract.

17. v4 =
2
40%
2r
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

18. If something is certain to happen - how is the probability of this event expressed mathematically?
1/1
180 degrees
60%
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

19. HIGH: What is the factored version of x² + 2xy + y² ?
(x+y)²
An integer is divisible by 9 if the sum of its digits is divisible by 9.
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.
2

20. Define a factorial of a number - and how it is written.
Groups - teams - or committees.
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.
A triangle in which one of the three interior angles is 90 degrees.
1

21. 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.
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.
40%
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)+

22. HIGH: how do you calculate a diagonal inside a 3-dimensional rectangular box?
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |
Favorable Outcomes/Total Possible Outcomes
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
A triangle in which one of the three interior angles is 90 degrees.

23. HIGH: What is the unfactored version of (x-y)² ?
x² -2xy + y²
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.
A line is a 180-degree angle.

24. HIGH: Rough est. of v1 =
(x-y)²
Multiply numerator times numerator and denominator times denominator.
1
The total # of possible outcomes.

25. HIGH: Rough est. of v2 =
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
1.4
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

26. What do combination problems usually ask for?
V=s³
Groups - teams - or committees.
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
(x-y)²

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

28. HIGH: Define the 'Third side' rule for triangles

29. Explain the special properties of 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.
2r
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.
Probability A + Probability B

30. If x² = 144 - does v144 = x?
60%
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.
Not necessarily. This is a trick question - because x could be either positive or negative.
40%

31. Convert to a percentage: 1/4
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.
The total # of possible outcomes.
Probability A + Probability B
25%

32. HIGH: What are the percentages for standard deviation?
A triangle in which one of the three interior angles is 90 degrees.
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |
Find a common denominator and make equivalent fractions. Then add or subtract.
2pr -or- pd

33. What do permutation problems often ask for?
180 degrees.
Probability A + Probability B
Arrangements - orders - schedules - or lists.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

34. Does order matter for a permutation? How about for a combination?
V=pr²h (This is just the area multiplied by the height)
Order does matter for a permutation - but does not matter for a combination.
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.
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.

35. When 2 lines are perpendicular to each other - their intersection forms 4 angles. What degree are these 4 angles?
90 degrees each.
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.
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.
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

36. HIGH: What must be true before a quadratic equation can be solved?

37. Diameter of a circle?
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.
2r
'Big' angles and 'Small' angles.
Find a common denominator and make equivalent fractions. Then add or subtract.

38. HIGH: what is the side ratio for a Right Isosceles triangle?
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.
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

39. What is a 'Right' angle?
2pr -or- pd
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)+
S*v2

40. HIGH: x^-n is equal to
1.7
Not necessarily. This is a trick question - because x could be either positive or negative.
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
1/x^n For example - 6-² = 1/6² = 1/36

41. What'S the most important thing to remember about charts you'll see on the GRE?
1. Given event A: A + notA = 1.
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.
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.

42. HIGH: Describe how to deal with 2 sets of parentheses.
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.
1.4
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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)+

43. How do you add or subtract fractions?
A line is a 180-degree angle.
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.
Find a common denominator and make equivalent fractions. Then add or subtract.
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4

44. Explain how to calculate an average (arithmetic mean)
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.
x² + 2xy + y²
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.

45. HIGH: how do you calculate the surface area of a rectangular box?
An integer is divisible by 5 if its units digit is either 0 or 5.
1
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 value that appears most often in a data set.

46. If something is possible but not certain - what is the numeric range of probability of it happening?
80%
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.
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.
Between 0 and 1.

47. How do you solve a permutation?
Between 0 and 1.
It will be a great advantage on test day to have your times table memorized from 1 through 15.
Order does matter for a permutation - but does not matter for a combination.
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

48. What is the key to dealing with ratio questions?
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.
Find the total - or whole - first - and then set up a Ratio Box.
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
Multiply numerator times numerator and denominator times denominator.

49. What is the sum of any 'big' angle and any 'Small' angle?
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.
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
180 degrees.
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.

50. The probability of an event happening and the probability of an event NOT happening must add up to what number?
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
1. Given event A: A + notA = 1.
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.