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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?
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.
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.
4 angles are formed. Their sum is 360 degrees
S²

2. Convert to a percentage: 2/5
Groups - teams - or committees.
(x+y)²
40%
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.

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

4. HIGH: what is the side ratio for a Right Isosceles triangle?
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
x²-y²
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.
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.

5. What is the equation for a group problem?
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.
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.
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
360 degrees

6. 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.
S²
(a+b)(a-b)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

7. HIGH: Rough est. of v1 =
Probability A + Probability B
1
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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

8. What do combination problems usually ask for?
Invert the second fraction (reciprocal) and multiply
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)+
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.
Groups - teams - or committees.

9. 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.
Multiply numerator times numerator and denominator times denominator.
A radius
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.

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

11. HIGH: List the two most common side ratios for right triangles
360 degrees
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
3:4:5 5:12:13
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.

12. HIGH: To divide powers with the same base...
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
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.
(x+y)(x-y)
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.

13. HIGH: What is the unfactored version of (x+y)² ?
The total # of possible outcomes.
x² -2xy + y²
x² + 2xy + y²
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

14. Explain the difference between handling a permutation versus a combination.
1.7
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
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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.

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

16. How do you add or subtract fractions?
Find a common denominator and make equivalent fractions. Then add or subtract.
S²
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.

17. If x² = 144 - does v144 = x?
80%
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Not necessarily. This is a trick question - because x could be either positive or negative.
Favorable Outcomes/Total Possible Outcomes

18. How many degrees does a circle contain?
360 degrees
x² -2xy + y²
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
A=pr²

19. Explain how to solve for 7/¼
1
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
(a+b)(a-b)

20. Define 'proportionate' values
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Example: 1 < x < 10

21. Probability Formula
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
2pr -or- pd
Favorable Outcomes/Total Possible Outcomes
A=pr²

22. How do you solve a combination?

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

24. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
Probability A + Probability B
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
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.
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4

25. What is the key to dealing with ratio questions?
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.
It will be a great advantage on test day to have your times table memorized from 1 through 15.
Find the total - or whole - first - and then set up a Ratio Box.
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.

26. HIGH: How do you multiply and divide square roots?
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. 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.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.

27. HIGH: Rough est. of v3 =
Invert the second fraction (reciprocal) and multiply
4 angles are formed. Their sum is 360 degrees
1.7
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.

28. What is the 'Third side' rule for triangles?
V=pr²h (This is just the area multiplied by the height)
360 degrees
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.
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.

29. Explain how to calculate an average (arithmetic mean)
180 degrees
25%
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3

30. HIGH: how do you calculate the surface area of a rectangular box?
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.
The average - mean - median - or mode.
V=pr²h (This is just the area multiplied by the height)
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.

31. The three interior angles of a triangle add up to...
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.
180 degrees
It will be a great advantage on test day to have your times table memorized from 1 through 15.
S*v2

32. HIGH: Define the formula for calculating slope.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

33. What is an 'equilateral' triangle?
A 90-degree angle.
S*v2
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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

34. What is a 'Right' angle?
A 90-degree angle.
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
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.

35. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
An integer is divisible by 6 if it'S divisible by BOTH 2 and 3.
Probability A + Probability B
360 degrees
A=pr²

36. Does order matter for a permutation? How about for a combination?
Order does matter for a permutation - but does not matter for a combination.
Arrangements - orders - schedules - or lists.
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.

37. HIGH: Volume of a cylinder?
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
An integer is divisible by 2 if its units digit is divisible by 2.
V=pr²h (This is just the area multiplied by the height)
S*v2

38. HIGH: What is a '30:60:90' triangle?
90 degrees each.
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
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

39. HIGH: x^-n is equal to
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.
V=pr²h (This is just the area multiplied by the height)
Favorable Outcomes/Total Possible Outcomes
1/x^n For example - 6-² = 1/6² = 1/36

40. Convert to a percentage: 3/5
60%
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.
A triangle in which one of the three interior angles is 90 degrees.

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

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

43. HIGH: What is a 'Right isosceles' 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.
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.
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 the total - or whole - first - and then set up a Ratio Box.

44. What is the 'distributive law'?
V=pr²h (This is just the area multiplied by the height)
The average - mean - median - or mode.
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 value that appears most often in a data set.

45. The three exterior angles of a triangle add up to...
360 degrees
Order does matter for a permutation - but does not matter for a combination.
3:4:5 5:12:13
A triangle in which one of the three interior angles is 90 degrees.

46. What do permutation problems often ask for?
Arrangements - orders - schedules - or lists.
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
Between 0 and 1.
Groups - teams - or committees.

47. HIGH: Volume of a cube?
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.
V=s³
360 degrees
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.

48. What are 'vertical angles'?
An integer is divisible by 2 if its units digit is divisible by 2.
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
4 angles are formed. Their sum is 360 degrees
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions

49. What degree angle is a line?
A triangle in which one of the three interior angles is 90 degrees.
The value that appears most often in a data set.
6
A line is a 180-degree angle.

50. How do you multiply fractions?
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
(a+b)(a-b)
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.
Multiply numerator times numerator and denominator times denominator.