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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. HIGH: How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
60%
The value that appears most often in a data set.
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.
It will be a great advantage on test day to have your times table memorized from 1 through 15.

2. 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+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.
The # falling in the center of an ordered data set
25%

3. HIGH: how do you calculate a diagonal inside a 3-dimensional rectangular box?
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.
1. Given event A: A + notA = 1.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

4. HIGH: Rough est. of v2 =
1.4
Bh
x²-y²
60%

5. Convert to a percentage: 4/5
Probability A + Probability B
80%
A radius
180 degrees.

6. Explain how to calculate an average (arithmetic mean)
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
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.
S²
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.

7. HIGH: What is the mode?
3:4:5 5:12:13
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 value that appears most often in a data set.
80%

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

9. Explain how to divide fractions.
180 degrees
The 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.
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4

10. What are the side ratios for a 30:60:90 triangle?
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.
x²-y²
Probability A * Probability B
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

11. An integer is divisible by 9 if...
A=pr²
An integer is divisible by 9 if the sum of its digits is divisible by 9.
An integer is divisible by 5 if its units digit is either 0 or 5.
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.

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

13. Simplify this: v32
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Example: 1 < x < 10
x² -2xy + y²

14. Define 'proportionate' values
Probability A + Probability B
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
1/1
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

15. What is the formula to determine probability?
3:4:5 5:12:13
2r
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

16. HIGH: Rough est. of v3 =
(x+y)²
1.7
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |
Arrangements - orders - schedules - or lists.

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

18. HIGH: Volume of a cube?
V=s³
Probability A + Probability B
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.

19. An integer is divisible by 5 if...
90 degrees each.
An integer is divisible by 5 if its units digit is either 0 or 5.
1
1.4

20. Define the range of a set of numbers.
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.
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.
1.4
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

21. What are 'vertical 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.
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
2pr -or- pd
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.

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

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

24. 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.
180 degrees.
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
Multiply numerator times numerator and denominator times denominator.

25. What is the key to dealing with ratio questions?
A triangle in which one of the three interior angles is 90 degrees.
Find the total - or whole - first - and then set up a Ratio Box.
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
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3

26. HIGH: What is the side ratio for a 30:60:90 triangle?
An integer is divisible by 5 if its units digit is either 0 or 5.
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
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
x²-y²

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

28. HIGH: How do you multiply and divide square roots?
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.
4 angles are formed. Their sum is 360 degrees
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
1/x^n For example - 6-² = 1/6² = 1/36

29. Define a factorial of a number - and how it is written.
40%
Find a common denominator and make equivalent fractions. Then add or subtract.
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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

30. Convert to a percentage: 3/5
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
60%
Find the total - or whole - first - and then set up a Ratio Box.
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. Diameter of a circle?
Find a common denominator and make equivalent fractions. Then add or subtract.
2r
2
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.

32. HIGH: What is the median?
Find the total - or whole - first - and then set up a Ratio Box.
Example: 1 < x < 10
The # falling in the center of an ordered data set
Arrangements - orders - schedules - or lists.

33. The three interior angles of a triangle add up to...
3:4:5 5:12:13
1.4
Bh
180 degrees

34. An integer is divisible by 2 if...
An integer is divisible by 2 if its units digit is divisible by 2.
The average - mean - median - or mode.
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

35. How do you multiply fractions?
Multiply numerator times numerator and denominator times denominator.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
1.7
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.

36. HIGH: What is the factored version of (x+y)(x-y) ?
Invert the second fraction (reciprocal) and multiply
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
x²-y²

37. Convert to a percentage: 2/5
1.4
The total # of possible outcomes.
Multiply numerator times numerator and denominator times denominator.
40%

38. HIGH: What are the percentages for standard deviation?
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 ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.
Bh

39. Explain how to use a 'Rate Pie'
Probability A + Probability B
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
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.

40. What is a 'Right' angle?
A 90-degree angle.
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 total # of possible outcomes.
80%

41. How do you add or subtract fractions?
It will be a great advantage on test day to have your times table memorized from 1 through 15.
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
Find a common denominator and make equivalent fractions. Then add or subtract.

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

43. HIGH: What is the factored version of x² + 2xy + y² ?
90 degrees each.
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 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

44. Does order matter for a permutation? How about for a combination?
The value that appears most often in a data set.
V=s³
Probability A * Probability B
Order does matter for a permutation - but does not matter for a combination.

45. Convert to a percentage: 1/4
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.
25%
180 degrees
Find the total - or whole - first - and then set up a Ratio Box.

46. In a coordinate system - identify the quadrants and describe their location.
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.
Favorable Outcomes/Total Possible Outcomes
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.

47. HIGH: What is the unfactored version of (x-y)² ?
x² -2xy + y²
90 degrees each.
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.
3:4:5 5:12:13

48. HIGH: Volume of a cylinder?
A=pr²
Probability A + Probability B
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
V=pr²h (This is just the area multiplied by the height)

49. If something is possible but not certain - what is the numeric range of probability of it happening?
90 degrees each.
Between 0 and 1.
A radius
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

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