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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. HIGH: Area of a triangle?
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
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.
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4

2. Explain how to use an 'Average Pie'
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.
1. Given event A: A + notA = 1.
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
It will be a great advantage on test day to have your times table memorized from 1 through 15.

3. HIGH: What is the unfactored version of x²-y² ?
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
2r
1.4
(x+y)(x-y)

4. HIGH: What is the median?
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
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.
The # falling in the center of an ordered data set

5. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
Probability A + Probability B
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.
It will be a great advantage on test day to have your times table memorized from 1 through 15.
Not necessarily. This is a trick question - because x could be either positive or negative.

6. How many degrees does a circle contain?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.
360 degrees
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.

7. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 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.
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=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.

8. In a coordinate system - what is the origin?
(0 -0)
180 degrees.
Not necessarily. This is a trick question - because x could be either positive or negative.
'Big' angles and 'Small' angles.

9. HIGH: What is a 'Right isosceles' triangle?
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
1. Given event A: A + notA = 1.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.

10. How many angles are formed when 2 lines intersect? and what is the sum of these angles?
4 angles are formed. Their sum is 360 degrees
x² -2xy + y²
Percentage Change = Difference/Original * 100
(x-y)²

11. What is an 'equilateral' triangle?
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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
An integer is divisible by 5 if its units digit is either 0 or 5.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

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

13. a² - b² is equal to
(a+b)(a-b)
4 angles are formed. Their sum is 360 degrees
25%
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. Explain the difference between handling a permutation versus a combination.
80%
2
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 average - mean - median - or mode.

15. What do combination problems usually ask for?
(x+y)²
180 degrees.
6
Groups - teams - or committees.

16. An integer is divisible by 3 if...
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)(x-y)
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.

17. HIGH: What is the unfactored version of (x-y)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.
Invert the second fraction (reciprocal) and multiply
The value that appears most often in a data set.
x² -2xy + y²

18. Convert to a percentage: 3/5
1.7
60%
x² -2xy + y²
Multiply numerator times numerator and denominator times denominator.

19. HIGH: How do you multiply powers with the same base?
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Invert the second fraction (reciprocal) and multiply
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

20. If something is possible but not certain - what is the numeric range of probability of it happening?
An integer is divisible by 9 if the sum of its digits is divisible by 9.
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.
(x-y)²
Between 0 and 1.

21. On the GRE - should you ever assume that diagrams are truthful?
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=s³
(0 -0)
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.

22. What number goes on the bottom of a probability fraction?
S²
The total # of possible outcomes.
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.
S*v2

23. Area of a square?
1.4
S²
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.
The value that appears most often in a data set.

24. An integer is divisible by 9 if...
V=pr²h (This is just the area multiplied by the height)
x² -2xy + y²
An integer is divisible by 9 if the sum of its digits is divisible by 9.
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

25. HIGH: What is a '30:60:90' triangle?
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
Groups - teams - or committees.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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. What is the key to dealing with ratio questions?
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 radius
Find the total - or whole - first - and then set up a Ratio Box.
A=pr²

27. HIGH: Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
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.
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
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.

28. How is a range expressed with inequalities?
Example: 1 < x < 10
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

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

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

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

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

33. HIGH: What is the unfactored version of (x+y)² ?
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.
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
A 90-degree angle.

34. The three exterior angles of a triangle add up to...
3:4:5 5:12:13
360 degrees
Not reading the problems carefully enough!
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.

35. What is the 'distributive law'?
An integer is divisible by 2 if its units digit is divisible by 2.
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.
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.
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.

36. HIGH: How do you calculate the circumference of a circle?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
2pr -or- pd
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.
40%

37. HIGH: How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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.
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.
An integer is divisible by 5 if its units digit is either 0 or 5.
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.

38. HIGH: How much of your times table should you know - for the GRE?
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.
It will be a great advantage on test day to have your times table memorized from 1 through 15.
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.
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.

39. An integer is divisible by 2 if...
A=pr²
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
An integer is divisible by 2 if its units digit is divisible by 2.
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. Convert to a percentage: 4/5
1/1
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
80%
A line is a 180-degree angle.

41. How do you calculate the probability of two events in a row? (Probability of A and B)
S²
80%
Probability A * Probability B
A=1/2bh. The height of the triangle must be measured by a line perpendicular to the base.

42. HIGH: what is the side ratio for a Right Isosceles triangle?
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.
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.
A=pr²

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

44. In a coordinate system - identify the quadrants and describe their location.
3:4:5 5:12:13
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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
1.4

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

46. Diameter of a circle?
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.
3:4:5 5:12:13
2r

47. How do you divide fractions?
Invert the second fraction (reciprocal) and multiply
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.
V=pr²h (This is just the area multiplied by the height)
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.

48. HIGH: Describe how to deal with 2 sets of parentheses.
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.
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.
The value that appears most often in a data set.
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)+

49. HIGH: Rough est. of v2 =
1.4
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.
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
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.

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