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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. An integer is divisible by 6 if...

2. The three exterior angles of a triangle add up to...
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.
An integer is divisible by 2 if its units digit is divisible by 2.
1
360 degrees

3. HIGH: What is the unfactored version of (x+y)² ?
2
1.4
x² + 2xy + y²
2r

4. How do you solve a combination?

5. 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.
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 9 if the sum of its digits is divisible by 9.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

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

7. How do you calculate the probability of two events in a row? (Probability of A and B)
Probability A * Probability B
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
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.
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.

8. a² - b² is equal to
(a+b)(a-b)
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.
S²
A=pr²

9. What are the side ratios for a 30:60:90 triangle?
90 degrees each.
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.
3:4:5 5:12:13

10. For a bell curve - what three terms might be used to describe the number in the middle?
The average - mean - median - or mode.
1/x^n For example - 6-² = 1/6² = 1/36
40%
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.

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

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

13. What is the 'distributive law'?
180 degrees
An integer is divisible by 5 if its units digit is either 0 or 5.
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
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.

14. HIGH: What is the unfactored version of (x-y)² ?
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.
It will be a great advantage on test day to have your times table memorized from 1 through 15.
x² -2xy + y²
Multiply numerator times numerator and denominator times denominator.

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

16. HIGH: What numbers does ETS hope you'll forget to consider - for quant comp questions?
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
A line is a 180-degree angle.
Percentage Change = Difference/Original * 100
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3

17. Simplify this: v32
360 degrees
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)
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.

18. Solve this: v6 * -v6 = ?
6
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
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.
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.

19. Define a factorial of a number - and how it is written.
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
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.
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
V=s³

20. On the GRE - should you ever assume that diagrams are truthful?
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.
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
360 degrees
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.

21. What is the 'Third side' rule for triangles?
Example: 1 < x < 10
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.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.

22. What should you do BEFORE you start to solve a GRE math problem?

23. When 2 lines are perpendicular to each other - their intersection forms 4 angles. What degree are these 4 angles?
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.
Not reading the problems carefully enough!
90 degrees each.
A triangle in which one of the three interior angles is 90 degrees.

24. HIGH: What is a 'Right isosceles' triangle?
S²
Groups - teams - or committees.
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.
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)+

25. What is a 'Right' triangle?
V=pr²h (This is just the area multiplied by the height)
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%.
A triangle in which one of the three interior angles is 90 degrees.
1.7

26. HIGH: What is a '30:60:90' triangle?
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.
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
S*v2

27. Convert to a percentage: 3/5
60%
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
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

28. HIGH: What is the order of math operations - and the mnemonic to remember it?
V=pr²h (This is just the area multiplied by the height)
Probability A * Probability B
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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

29. What do combination problems usually ask for?
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.
The # falling in the center of an ordered data set
Groups - teams - or committees.
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

30. How many angles are formed when 2 lines intersect? and what is the sum of these angles?
4 angles are formed. Their sum is 360 degrees
A=pr²
An integer is divisible by 2 if its units digit is divisible by 2.
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.

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

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

33. An integer is divisible by 9 if...
An integer is divisible by 9 if the sum of its digits is divisible by 9.
S²
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.
2

34. HIGH: How do you multiply and divide square roots?
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.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Invert the second fraction (reciprocal) and multiply
Not reading the problems carefully enough!

35. HIGH: x^-n is equal to
Find a common denominator and make equivalent fractions. Then add or subtract.
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.
S²
1/x^n For example - 6-² = 1/6² = 1/36

36. Convert to a percentage: 4/5
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.
Probability A + Probability B
80%
V=s³

37. HIGH: How do you calculate the circumference of a circle?
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
2pr -or- pd
25%
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.

38. HIGH: How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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.
Find a common denominator and make equivalent fractions. Then add or subtract.
Arrangements - orders - schedules - or lists.
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.

39. HIGH: What are the percentages for standard deviation?
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.
4 angles are formed. Their sum is 360 degrees
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 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |

40. HIGH: What is 'absolute value' - and how is it represented?

41. Explain how to calculate an average (arithmetic mean)
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.
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)²
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'.

42. What is a 'Right' angle?
1
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
1/1
A 90-degree angle.

43. Explain the difference between handling a permutation versus a combination.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
(0 -0)
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.

44. List all the prime numbers that are less than 30:
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
1/1
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.
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.

45. 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
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
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.
(x+y)²

46. What is the sum of any 'big' angle and any 'Small' angle?
25%
An integer is divisible by 9 if the sum of its digits is divisible by 9.
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
180 degrees.

47. In a coordinate system - what is the origin?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(0 -0)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

48. HIGH: Area of a triangle?
360 degrees
The value that appears most often in a data set.
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.
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.

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

50. What are 'vertical angles'?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
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.