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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. Area of a square?
S²
V=s³
x² -2xy + y²
Not necessarily. This is a trick question - because x could be either positive or negative.

2. The probability of an event happening and the probability of an event NOT happening must add up to what number?
1. Given event A: A + notA = 1.
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.
6
Probability A * Probability B

3. HIGH: Rough est. of v1 =
1
(0 -0)
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.
Between 0 and 1.

4. What is an 'equilateral' triangle?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
40%
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.
(x+y)(x-y)

5. HIGH: Volume of a cylinder?
1. Given event A: A + notA = 1.
V=pr²h (This is just the area multiplied by the height)
Multiply numerator times numerator and denominator times denominator.
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |

6. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
2
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.
For RIGHT triangles only: c² = a² + b² 'c' is the length of the hypotenuse; 'a' and 'b' are the other two sides ('legs')
Arrangements - orders - schedules - or lists.

7. HIGH: how do you calculate the surface area of a rectangular box?
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.
A line is a 180-degree angle.
V=s³
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

8. What'S the most important thing to remember about charts you'll see on the GRE?
Bh
40%
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.
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.

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

10. List two odd behaviors of exponents
Probability A * Probability B
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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.

11. What is the name of a line that extends from the center of a circle to the edge of a circle?
80%
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.
A radius
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

12. What is the sum of any 'big' angle and any 'Small' angle?
180 degrees.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
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.

13. An integer is divisible by 3 if...
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Not necessarily. This is a trick question - because x could be either positive or negative.
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
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.

14. HIGH: how do you calculate a diagonal inside a 3-dimensional rectangular box?
Not necessarily. This is a trick question - because x could be either positive or negative.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
S*v2
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

15. What is the factored version of x² -2xy + y² ?
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)+
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.
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.
(x-y)²

16. HIGH: What is a 'Right isosceles' triangle?
x² + 2xy + y²
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.
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 ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

17. Define the range of a set of numbers.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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.
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.

18. HIGH: What is the unfactored version of x²-y² ?
(x+y)(x-y)
A radius
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.
1/1

19. How is a range expressed with inequalities?
Example: 1 < x < 10
90 degrees each.
180 degrees.
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

20. How do you calculate the percentage of change?
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
Percentage Change = Difference/Original * 100
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
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |

21. What are the side ratios for a 30:60:90 triangle?
3:4:5 5:12:13
An integer is divisible by 2 if its units digit is divisible by 2.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Not necessarily. This is a trick question - because x could be either positive or negative.

22. In a coordinate system - identify the quadrants and describe their location.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
A 90-degree angle.
1.4
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.

23. What do combination problems usually ask for?
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
S²
Groups - teams - or committees.
x² + 2xy + y²

24. Define 'proportionate' values
(a+b)(a-b)
90 degrees each.
A radius
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

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

26. Define a factorial of a number - and how it is written.
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
Percentage Change = Difference/Original * 100
'Big' angles and 'Small' angles.
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.

27. HIGH: What is the equation of a line?

28. What is a 'Right' triangle?
(x+y)(x-y)
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
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.
A triangle in which one of the three interior angles is 90 degrees.

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

30. Convert to a percentage: 1/4
Multiply numerator times numerator and denominator times denominator.
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%
(x+y)(x-y)

31. What do permutation problems often ask for?
Probability A * Probability B
Arrangements - orders - schedules - or lists.
V=pr²h (This is just the area multiplied by the height)
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

32. HIGH: Rough est. of v2 =
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
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.
1.4

33. HIGH: How do you multiply powers with the same base?
A line is a 180-degree angle.
The value that appears most often in a data set.
40%
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

34. HIGH: What is the unfactored version of (x+y)² ?
(0 -0)
80%
x² + 2xy + y²
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

35. HIGH: Rough est. of v3 =
(0 -0)
40%
1.7
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.

36. Probability Formula
80%
Favorable Outcomes/Total Possible Outcomes
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)+
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions

37. How do you add or subtract fractions?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
360 degrees
Find a common denominator and make equivalent fractions. Then add or subtract.
The value that appears most often in a data set.

38. Does order matter for a permutation? How about for a combination?
Order does matter for a permutation - but does not matter for a combination.
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
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.
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3

39. Define the mode of a set of numbers.
Bh
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.
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.
40%

40. What degree angle is a line?
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
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.
A line is a 180-degree angle.
Not reading the problems carefully enough!

41. An integer is divisible by 2 if...
The # falling in the center of an ordered data set
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.
Bh
An integer is divisible by 2 if its units digit is divisible by 2.

42. HIGH: Area of a circle
180 degrees.
A=pr²
The total # of possible outcomes.
S²

43. What is a 'Right' angle?
A 90-degree angle.
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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.

44. Simplify this: v32
6
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
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
1.4

45. HIGH: How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
V=s³
(x-y)²
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.
Favorable Outcomes/Total Possible Outcomes

46. What is the 'distributive law'?
A triangle in which one of the three interior angles is 90 degrees.
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 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.

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

48. HIGH: How do you multiply and divide square roots?
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.
Not reading the problems carefully enough!
90 degrees each.

49. a² - b² is equal to
(a+b)(a-b)
A=pr²
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
An integer is divisible by 2 if its units digit is divisible by 2.

50. How do you solve a permutation?
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.
Invert the second fraction (reciprocal) and multiply
Find a common denominator and make equivalent fractions. Then add or subtract.
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