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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. What do permutation problems often ask for?
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.
60%
2pr -or- pd
Arrangements - orders - schedules - or lists.

2. HIGH: What is the median?
1.4
The # falling in the center of an ordered data set
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.
Find a common denominator and make equivalent fractions. Then add or subtract.

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

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

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

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

7. How do you calculate the percentage of change?
Percentage Change = Difference/Original * 100
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'.
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
Example: 1 < x < 10

8. HIGH: What is a '30:60:90' triangle?
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
The average - mean - median - or mode.
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
1.4

9. An integer is divisible by 3 if...
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
An integer is divisible by 5 if its units digit is either 0 or 5.
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.
S²

10. When 2 lines are perpendicular to each other - their intersection forms 4 angles. What degree are these 4 angles?
2r
90 degrees each.
An integer is divisible by 5 if its units digit is either 0 or 5.
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

11. Area of a parallelogram?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Bh
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
90 degrees each.

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

13. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
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
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.
(# 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.

14. In a coordinate system - identify the quadrants and describe their location.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

15. What number goes on the bottom of a probability fraction?
Between 0 and 1.
The total # of possible outcomes.
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
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.

16. a² - b² is equal to
90 degrees each.
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
x² -2xy + y²
(a+b)(a-b)

17. Define 'proportionate' values
'Big' angles and 'Small' angles.
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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.

18. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
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.
Probability A + Probability B
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 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.

19. An integer is divisible by 2 if...
The value that appears most often in a data set.
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.
An integer is divisible by 2 if its units digit is divisible by 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

20. HIGH: Volume of a cylinder?
A=pr²
80%
V=pr²h (This is just the area multiplied by the height)
S²

21. On the GRE - should you ever assume that diagrams are truthful?
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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.
1

22. HIGH: x^-n is equal to
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
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'.
Multiply numerator times numerator and denominator times denominator.
1/x^n For example - 6-² = 1/6² = 1/36

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

24. HIGH: What is the order of math operations - and the mnemonic to remember it?
The # falling in the center of an ordered data set
(x+y)(x-y)
x²-y²
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

25. 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
S*v2
360 degrees
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

26. What degree angle is a line?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
An integer is divisible by 2 if its units digit is divisible by 2.
180 degrees.
A line is a 180-degree angle.

27. What is an 'equilateral' triangle?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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
The average - mean - median - or mode.
The value that appears most often in a data set.

28. HIGH: how do you calculate the surface area of a rectangular box?
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.
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 average - mean - median - or mode.
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

29. How precise do you need to be - using p on the GRE?

30. Explain how to calculate an average (arithmetic mean)
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
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.
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

31. v4 =
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
2
Not reading the problems carefully enough!
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.

32. HIGH: How much of your times table should you know - for the GRE?
It will be a great advantage on test day to have your times table memorized from 1 through 15.
x² + 2xy + y²
Percentage Change = Difference/Original * 100
V=pr²h (This is just the area multiplied by the height)

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

34. The three exterior angles of a triangle add up to...
Probability A * Probability B
A triangle in which one of the three interior angles is 90 degrees.
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
360 degrees

35. An integer is divisible by 9 if...
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
x² + 2xy + y²
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.
An integer is divisible by 9 if the sum of its digits is divisible by 9.

36. What are 'vertical angles'?
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
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
1/1
360 degrees

37. The probability of an event happening and the probability of an event NOT happening must add up to what number?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x 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.
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.
1. Given event A: A + notA = 1.

38. An integer is divisible by 4 if...

39. What is the name of a line that extends from the center of a circle to the edge of a circle?
An integer is divisible by 9 if the sum of its digits is divisible by 9.
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.
A radius

40. HIGH: What is the factored version of x² + 2xy + y² ?
The # falling in the center of an ordered data set
(x+y)²
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions

41. How do you multiply fractions?
Probability A + Probability B
6
Multiply numerator times numerator and denominator times denominator.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

42. Define the range of a set of numbers.
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.
Probability A + Probability B
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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.

43. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
25%
Arrangements - orders - schedules - or lists.
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.
'Big' angles and 'Small' angles.

44. 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.
(a+b)(a-b)
Between 0 and 1.
Arrangements - orders - schedules - or lists.

45. HIGH: how do you calculate a diagonal inside a 3-dimensional rectangular box?
An integer is divisible by 9 if the sum of its digits is divisible by 9.
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 formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
It will be a great advantage on test day to have your times table memorized from 1 through 15.

46. Convert to a percentage: 2/5
The average - mean - median - or mode.
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
40%
Favorable Outcomes/Total Possible Outcomes

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

48. How is a range expressed with inequalities?
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
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.
Example: 1 < x < 10
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'.

49. HIGH: What is the unfactored version of (x+y)² ?
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
1/x^n For example - 6-² = 1/6² = 1/36
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28

50. HIGH: Rough est. of v2 =
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
Not reading the problems carefully enough!
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.
1.4