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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. Define 'proportionate' values
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
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.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
360 degrees

2. What'S the most important thing to remember about charts you'll see on the GRE?
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
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.
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.
Probability A + Probability B

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

4. HIGH: What is the side ratio for a 30:60:90 triangle?
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
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
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

5. Diameter of a circle?
2r
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.
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%.
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

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

7. The three exterior angles of a triangle add up to...
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.
Probability A * Probability B
360 degrees

8. HIGH: Volume of a cylinder?
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |
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
V=pr²h (This is just the area multiplied by the height)
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

9. What do combination problems usually ask for?
Groups - teams - or committees.
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
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.
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.

10. HIGH: Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
(x-y)²
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
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |

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

12. HIGH: Define the formula for calculating slope.
Probability A + Probability B
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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.
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.

13. What are the side ratios for a 30:60:90 triangle?
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1.4
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

14. HIGH: How much of your times table should you know - for the GRE?
It will be a great advantage on test day to have your times table memorized from 1 through 15.
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
Multiply numerator times numerator and denominator times denominator.
Between 0 and 1.

15. HIGH: What is the formula for the diagonal of any square?
S*v2
Example: 1 < x < 10
Find the total - or whole - first - and then set up a Ratio Box.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

16. HIGH: How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
V=pr²h (This is just the area multiplied by the height)
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.
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.
1/x^n For example - 6-² = 1/6² = 1/36

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

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

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

20. An integer is divisible by 2 if...
A radius
180 degrees
An integer is divisible by 2 if its units digit is divisible by 2.
(x+y)²

21. HIGH: How do you calculate the circumference of a circle?
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.
360 degrees
2pr -or- pd
The # falling in the center of an ordered data set

22. For a bell curve - what three terms might be used to describe the number in the middle?
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
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.
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%.
The average - mean - median - or mode.

23. What is a 'Right' angle?
Percentage Change = Difference/Original * 100
Not necessarily. This is a trick question - because x could be either positive or negative.
A 90-degree angle.
S²

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

25. How do you multiply fractions?
Probability A * Probability B
(x-y)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.
Multiply numerator times numerator and denominator times denominator.

26. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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.
A=pr²

27. What is a 'Right' triangle?
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.
A triangle in which one of the three interior angles is 90 degrees.
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.

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

29. How many degrees does a circle contain?
180 degrees.
360 degrees
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.
Invert the second fraction (reciprocal) and multiply

30. Solve this: v6 * -v6 = ?
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
6
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

31. How many angles are formed when 2 lines intersect? and what is the sum of these angles?
2r
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.
4 angles are formed. Their sum is 360 degrees
40%

32. HIGH: how do you calculate the surface area of a rectangular box?
The # falling in the center of an ordered data set
x² -2xy + y²
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.
Invert the second fraction (reciprocal) and multiply

33. Explain how to solve for 7/¼
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |
Not necessarily. This is a trick question - because x could be either positive or negative.
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28

34. What is an 'equilateral' triangle?
1.4
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
V=pr²h (This is just the area multiplied by the height)
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.

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

36. How do you divide fractions?
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.
Invert the second fraction (reciprocal) and multiply
3:4:5 5:12:13
An integer is divisible by 2 if its units digit is divisible by 2.

37. HIGH: What numbers does ETS hope you'll forget to consider - for quant comp questions?
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
360 degrees
360 degrees

38. HIGH: what is the side ratio for a Right Isosceles triangle?
Bh
25%
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.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

39. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
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.
Probability A + Probability B
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.

40. HIGH: What is the unfactored version of (x+y)² ?
Example: 1 < x < 10
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
x² + 2xy + y²
A 90-degree angle.

41. HIGH: how do you calculate a diagonal inside a 3-dimensional rectangular box?
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.
(x-y)²
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
1

42. What is the 'Third side' rule for triangles?
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.
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
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 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.

43. List all the prime numbers that are less than 30:
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.
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.
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.

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

45. How do you calculate the probability of two events in a row? (Probability of A and B)
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
Probability A * Probability B
x²-y²
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.

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

47. HIGH: Describe how to deal with 2 sets of parentheses.
An integer is divisible by 5 if its units digit is either 0 or 5.
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)+
x² + 2xy + y²
2

48. v4 =
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
2
The value that appears most often in a data set.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

49. Explain how to divide fractions.
A line is a 180-degree angle.
Find the total - or whole - first - and then set up a Ratio Box.
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.
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4

50. How do you calculate the percentage of change?
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
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'.
Percentage Change = Difference/Original * 100