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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. On the GRE - should you ever assume that diagrams are truthful?
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.
(0 -0)
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
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.

2. What is the name of a line that extends from the center of a circle to the edge of a circle?
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
A radius
1.4
A=pr²

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

4. An integer is divisible by 9 if...
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.
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.
An integer is divisible by 9 if the sum of its digits is divisible by 9.
x² -2xy + y²

5. HIGH: What is the mode?
An integer is divisible by 5 if its units digit is either 0 or 5.
S²
The value that appears most often in a data set.
A radius

6. HIGH: what is the side ratio for a Right Isosceles triangle?
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
360 degrees
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%.
180 degrees.

7. In a coordinate system - identify the quadrants and describe their location.
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
Probability A + Probability B
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

8. HIGH: What is the unfactored version of x²-y² ?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
(x+y)(x-y)
Order does matter for a permutation - but does not matter for a combination.
S*v2

9. HIGH: What is a '30:60:90' triangle?
A=pr²
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.
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

10. 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
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.

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

12. Explain how to divide fractions.
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
6
1
80%

13. HIGH: Rough est. of v1 =
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.
V=pr²h (This is just the area multiplied by the height)
1
Groups - teams - or committees.

14. Simplify this: v32
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
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.

15. What are the side ratios for a 30:60:90 triangle?
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.
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x 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.

16. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
180 degrees.
x² -2xy + y²
Probability A + Probability B

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

18. HIGH: What is the unfactored version of (x+y)² ?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
3:4:5 5:12:13
x² + 2xy + y²

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

20. Explain how to use a 'Rate Pie'
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'.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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
1

21. HIGH: What is the side ratio for a 30:60:90 triangle?
S²
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

22. Probability Formula
Favorable Outcomes/Total Possible Outcomes
180 degrees.
360 degrees
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'.

23. What are 'vertical angles'?
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
(x+y)²
Percentage Change = Difference/Original * 100

24. Diameter of a circle?
Find the total - or whole - first - and then set up a Ratio Box.
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
2r
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

25. How do you multiply fractions?
Multiply numerator times numerator and denominator times denominator.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
A 90-degree angle.
Example: 1 < x < 10

26. HIGH: How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
The total # of possible outcomes.
Arrangements - orders - schedules - or lists.
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.
2r

27. Convert to a percentage: 1/4
Bh
(x+y)(x-y)
Groups - teams - or committees.
25%

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

29. Define a factorial of a number - and how it is written.
A radius
x² + 2xy + y²
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
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.

30. a² - b² is equal to
(a+b)(a-b)
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.
The # falling in the center of an ordered data set
(x+y)²

31. How is a range expressed with inequalities?
Order does matter for a permutation - but does not matter for a combination.
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'.
Example: 1 < x < 10
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

32. The three interior angles of a triangle add up to...
The # falling in the center of an ordered data set
The total # of possible outcomes.
180 degrees
An integer is divisible by 9 if the sum of its digits is divisible by 9.

33. Define 'proportionate' values
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
80%
Arrangements - orders - schedules - or lists.

34. Convert to a percentage: 2/5
Probability A + Probability B
40%
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.
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

35. HIGH: Simplify this: v75/v27
4 angles are formed. Their sum is 360 degrees
Not necessarily. This is a trick question - because x could be either positive or negative.
S²
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.

36. HIGH: What is the factored version of x² + 2xy + y² ?
2
3:4:5 5:12:13
(x+y)²
V=pr²h (This is just the area multiplied by the height)

37. What is a 'Right' triangle?
180 degrees.
A triangle in which one of the three interior angles is 90 degrees.
'Big' angles and 'Small' angles.
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.

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

39. Convert to a percentage: 4/5
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
Not necessarily. This is a trick question - because x could be either positive or negative.
80%
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

40. What is the sum of any 'big' angle and any 'Small' angle?
1.4
The total # of possible outcomes.
25%
180 degrees.

41. HIGH: Rough est. of v2 =
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'.
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
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.
1.4

42. HIGH: What is a 'Right isosceles' triangle?
A radius
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.
Find a common denominator and make equivalent fractions. Then add or subtract.
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.

43. The three exterior angles of a triangle add up to...
180 degrees.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
(0 -0)
360 degrees

44. An integer is divisible by 3 if...
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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.
(x+y)²
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.

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

46. What is a 'Right' angle?
(x-y)²
A 90-degree angle.
Example: 1 < x < 10
Order does matter for a permutation - but does not matter for a combination.

47. HIGH: What is the median?
The total # of possible outcomes.
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 # falling in the center of an ordered data set
Favorable Outcomes/Total Possible Outcomes

48. If x² = 144 - does v144 = x?
A 90-degree angle.
Not necessarily. This is a trick question - because x could be either positive or negative.
Percentage Change = Difference/Original * 100
1. Given event A: A + notA = 1.

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

50. HIGH: Describe how to deal with 2 sets of parentheses.
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)+
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
An integer is divisible by 9 if the sum of its digits is divisible by 9.