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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. How many angles are formed when 2 lines intersect? and what is the sum of these angles?
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
x² + 2xy + y²
4 angles are formed. Their sum is 360 degrees

2. Convert to a percentage: 4/5
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
80%
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
4 angles are formed. Their sum is 360 degrees

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

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

5. What is the sum of any 'big' angle and any 'Small' angle?
180 degrees.
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.
A 90-degree angle.
The value that appears most often in a data set.

6. The three interior angles of a triangle add up to...
180 degrees
Multiply numerator times numerator and denominator times denominator.
Arrangements - orders - schedules - or lists.
Probability A + Probability B

7. How is a range expressed with inequalities?
Example: 1 < x < 10
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
1/1
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.

8. What is the 'distributive law'?
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
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 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.
V=pr²h (This is just the area multiplied by the height)

9. Explain how to divide fractions.
(x+y)²
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.
Not reading the problems carefully enough!
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4

10. HIGH: Volume of a cylinder?
V=pr²h (This is just the area multiplied by the height)
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
A=pr²
The total # of possible outcomes.

11. How do you calculate the probability of two events in a row? (Probability of A and B)
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
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.
Probability A + Probability B
Probability A * Probability B

12. Convert to a percentage: 1/4
Invert the second fraction (reciprocal) and multiply
80%
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.
25%

13. For a bell curve - what three terms might be used to describe the number in the middle?
A triangle in which one of the three interior angles is 90 degrees.
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.
The average - mean - median - or mode.
80%

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

15. HIGH: Rough est. of v1 =
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.
2pr -or- pd
1
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

16. How do you divide fractions?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.
V=s³
Invert the second fraction (reciprocal) and multiply

17. HIGH: What is the mode?
The value that appears most often in a data set.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x 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.

18. Explain how to calculate an average (arithmetic mean)
180 degrees.
The total # of possible outcomes.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3

19. HIGH: What is the Pythagorean theorem?

20. Explain how to use a 'Rate Pie'
1/1
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
1.7
V=pr²h (This is just the area multiplied by the height)

21. Area of a square?
Not reading the problems carefully enough!
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
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
S²

22. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
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.

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

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

25. HIGH: Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
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.
The # falling in the center of an ordered data set
180 degrees
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

26. HIGH: Rough est. of v3 =
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% |
40%
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.

27. HIGH: x^-n is equal to
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1/x^n For example - 6-² = 1/6² = 1/36
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 6 if it'S divisible by BOTH 2 and 3.

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

29. How do you solve a combination?

30. Define the mode of a set of numbers.
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.
1.4
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.
180 degrees.

31. HIGH: List the two most common side ratios for right triangles
2
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
3:4:5 5:12:13

32. How do you calculate the percentage of change?
An integer is divisible by 9 if the sum of its digits is divisible by 9.
Find a common denominator and make equivalent fractions. Then add or subtract.
S*v2
Percentage Change = Difference/Original * 100

33. HIGH: What is the formula for the diagonal of any square?
180 degrees.
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
S*v2
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

34. What is the name of a line that extends from the center of a circle to the edge of a circle?
1/1
A radius
S²
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.

35. HIGH: how do you calculate a diagonal inside a 3-dimensional rectangular box?
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/x^n For example - 6-² = 1/6² = 1/36
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
The average - mean - median - or mode.

36. HIGH: Area of a triangle?
(x+y)²
A 90-degree angle.
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
1/x^n For example - 6-² = 1/6² = 1/36

37. HIGH: What is the factored version of (x+y)(x-y) ?
x²-y²
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
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=s³

38. Diameter of a circle?
2r
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.
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.
1

39. HIGH: To divide powers with the same base...
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Percentage Change = Difference/Original * 100
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.

40. An integer is divisible by 9 if...
90 degrees each.
Multiply numerator times numerator and denominator times denominator.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
An integer is divisible by 9 if the sum of its digits is divisible by 9.

41. If x² = 144 - does v144 = x?
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
Not necessarily. This is a trick question - because x could be either positive or negative.
Find the total - or whole - first - and then set up a Ratio Box.
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.

42. What is the formula to determine probability?
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.
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
Find the total - or whole - first - and then set up a Ratio Box.
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.

43. HIGH: What is the side ratio for a 30:60:90 triangle?
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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
For RIGHT triangles only: c² = a² + b² 'c' is the length of the hypotenuse; 'a' and 'b' are the other two sides ('legs')
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.

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

45. Explain how to use an 'Average Pie'
Bh
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.
x² + 2xy + y²
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.

46. When 2 lines are perpendicular to each other - their intersection forms 4 angles. What degree are these 4 angles?
Find a common denominator and make equivalent fractions. Then add or subtract.
90 degrees each.
S²
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.

47. An integer is divisible by 2 if...
An integer is divisible by 2 if its units digit is divisible by 2.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
A line is a 180-degree angle.
180 degrees.

48. HIGH: What is the factored version of x² + 2xy + y² ?
(x+y)²
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
x²-y²
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3

49. Define 'proportionate' values
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Favorable Outcomes/Total Possible Outcomes

50. Define the range of a set of numbers.
S²
An integer is divisible by 2 if its units digit is divisible by 2.
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.
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.