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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. Convert to a percentage: 2/5
(x+y)²
40%
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
An integer is divisible by 5 if its units digit is either 0 or 5.

2. HIGH: What is the Pythagorean theorem?

3. In a coordinate system - what is the origin?
(0 -0)
1.4
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.
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)

4. What are 'vertical angles'?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
360 degrees
x²-y²

5. How do you calculate the percentage of change?
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.
Percentage Change = Difference/Original * 100
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.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

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

7. How do you divide fractions?
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.
Invert the second fraction (reciprocal) and multiply
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.
Groups - teams - or committees.

8. What do permutation problems often ask for?
Arrangements - orders - schedules - or lists.
Find the total - or whole - first - and then set up a Ratio Box.
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.
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)

9. Explain how to divide fractions.
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.
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
Example: 1 < x < 10
25%

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

11. How do you calculate the probability of two events in a row? (Probability of A and B)
Groups - teams - or committees.
Probability A * Probability B
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. 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

12. v4 =
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
2
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
90 degrees each.

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

14. HIGH: How do you multiply powers with the same base?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
1.4
Between 0 and 1.
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

15. What is the 'distributive law'?
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.
Between 0 and 1.
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 the total - or whole - first - and then set up a Ratio Box.

16. On the GRE - should you ever assume that diagrams are truthful?
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
By Plugging In an actual value for the variable(s). This will be quicker - more accurate - you'll avoid built-in traps - and you can use the calculator. When Plugging In - use simple numbers but avoid 1 and 0.
A line is a 180-degree angle.

17. HIGH: What are the percentages for standard deviation?
S*v2
(x+y)²
V=s³
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |

18. HIGH: Rough est. of v3 =
1.7
x²-y²
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
Groups - teams - or committees.

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

20. 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
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.
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)+
(x-y)²

21. HIGH: Define the formula for calculating slope.
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
An integer is divisible by 2 if its units digit is divisible by 2.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

22. HIGH: Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
Bh
Groups - teams - or committees.
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 integer is divisible by 9 if the sum of its digits is divisible by 9.

23. Explain how to use an 'Average Pie'
2r
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
360 degrees
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.

24. HIGH: Area of a circle
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 line is a 180-degree angle.
A=pr²
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.

25. HIGH: What is the factored version of (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.
1.4
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.
x²-y²

26. What is the equation for a group problem?
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |
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
Invert the second fraction (reciprocal) and multiply
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

27. How is a range expressed with inequalities?
V=pr²h (This is just the area multiplied by the height)
2pr -or- pd
Groups - teams - or committees.
Example: 1 < x < 10

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

29. HIGH: Describe how to deal with 2 sets of parentheses.
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.
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)+
A 90-degree angle.
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'.

30. What is the 'Third side' rule for triangles?
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.
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.
(x+y)²
Probability A + Probability B

31. HIGH: what is the side ratio for a Right Isosceles triangle?
Arrangements - orders - schedules - or lists.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.

32. HIGH: List the two most common side ratios for right triangles
3:4:5 5:12:13
Find the total - or whole - first - and then set up a Ratio Box.
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.
V=pr²h (This is just the area multiplied by the height)

33. If something is possible but not certain - what is the numeric range of probability of it happening?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
An integer is divisible by 9 if the sum of its digits is divisible by 9.
4 angles are formed. Their sum is 360 degrees
Between 0 and 1.

34. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
'Big' angles and 'Small' angles.
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.
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

35. Define a factorial of a number - and how it is written.
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.
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.
Find the total - or whole - first - and then set up a Ratio Box.
The average - mean - median - or mode.

36. When 2 lines are perpendicular to each other - their intersection forms 4 angles. What degree are these 4 angles?
Find the total - or whole - first - and then set up a Ratio Box.
360 degrees
90 degrees each.
180 degrees

37. Define the mode of a set of numbers.
1/1
2r
60%
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.

38. HIGH: How much of your times table should you know - for the GRE?
Invert the second fraction (reciprocal) and multiply
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.
It will be a great advantage on test day to have your times table memorized from 1 through 15.

39. What do combination problems usually ask for?
Probability A + Probability B
It will be a great advantage on test day to have your times table memorized from 1 through 15.
3:4:5 5:12:13
Groups - teams - or committees.

40. Probability Formula
Favorable Outcomes/Total Possible Outcomes
A 90-degree angle.
(x+y)(x-y)
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.

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

42. Define the range of a set of numbers.
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
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.
3:4:5 5:12:13
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

43. Does order matter for a permutation? How about for a combination?
(0 -0)
Order does matter for a permutation - but does not matter for a combination.
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.
2pr -or- pd

44. An integer is divisible by 9 if...
1/1
180 degrees.
An integer is divisible by 9 if the sum of its digits is divisible by 9.
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.

45. How many degrees does a circle contain?
(x+y)²
Groups - teams - or committees.
360 degrees
Percentage Change = Difference/Original * 100

46. The three exterior angles of a triangle add up to...
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
3:4:5 5:12:13
80%
360 degrees

47. An integer is divisible by 5 if...
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
An integer is divisible by 5 if its units digit is either 0 or 5.
The value that appears most often in a data set.
A radius

48. HIGH: Volume of a cylinder?
V=pr²h (This is just the area multiplied by the height)
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
S²
1.4

49. An integer is divisible by 2 if...
Invert the second fraction (reciprocal) and multiply
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
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 2 if its units digit is divisible by 2.

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