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GRE High Frequency Math Terms

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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. An integer is divisible by 4 if...

2. v4 =
An integer is divisible by 5 if its units digit is either 0 or 5.
2
Order does matter for a permutation - but does not matter for a combination.
180 degrees

3. HIGH: What is the factored version of x² + 2xy + y² ?
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)²
Probability A + Probability B
A 90-degree angle.

4. What is a 'Right' angle?
25%
A 90-degree angle.
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
For RIGHT triangles only: c² = a² + b² 'c' is the length of the hypotenuse; 'a' and 'b' are the other two sides ('legs')

5. How many angles are formed when 2 lines intersect? and what is the sum of these angles?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
1. Given event A: A + notA = 1.
4 angles are formed. Their sum is 360 degrees
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.

6. HIGH: how do you calculate the surface area of a rectangular box?
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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.
S*v2
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.

7. How do you multiply fractions?
Multiply numerator times numerator and denominator times denominator.
A triangle in which one of the three interior angles is 90 degrees.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1/1

8. HIGH: What is the side ratio for a 30:60:90 triangle?
(x-y)²
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.
Arrangements - orders - schedules - or lists.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

9. Convert to a percentage: 1/4
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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.
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
25%

10. The probability of an event happening and the probability of an event NOT happening must add up to what number?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
1. Given event A: A + notA = 1.
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.

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

12. HIGH: What is the unfactored version of (x+y)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 integer is divisible by 5 if its units digit is either 0 or 5.
Not reading the problems carefully enough!
x² + 2xy + y²

13. The three interior angles of a triangle add up to...
1.4
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.
180 degrees
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

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

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

16. An integer is divisible by 9 if...
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%.
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.
An integer is divisible by 9 if the sum of its digits is divisible by 9.
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.

17. HIGH: x^-n is equal to
1/x^n For example - 6-² = 1/6² = 1/36
Between 0 and 1.
S*v2
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

18. The three exterior angles of a triangle add up to...
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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.
1. Given event A: A + notA = 1.
360 degrees

19. HIGH: Define the formula for calculating slope.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
2pr -or- pd

20. For a bell curve - what three terms might be used to describe the number in the middle?
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 average - mean - median - or mode.
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
6

21. HIGH: What is the formula for the diagonal of any square?
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
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.
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
S*v2

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

23. Does order matter for a permutation? How about for a combination?
V=s³
Order does matter for a permutation - but does not matter for a combination.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

24. Explain how to use a 'Rate Pie'
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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
A line is a 180-degree angle.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

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

26. HIGH: What numbers does ETS hope you'll forget to consider - for quant comp questions?
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
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.

27. 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.
Find a common denominator and make equivalent fractions. Then add or subtract.
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
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.

28. HIGH: List the two most common side ratios for right triangles
6
'Big' angles and 'Small' angles.
Probability A + Probability B
3:4:5 5:12:13

29. List all the prime numbers that are less than 30:
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.
3:4:5 5:12:13
Arrangements - orders - schedules - or lists.
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.

30. What is the name of a line that extends from the center of a circle to the edge of a circle?
180 degrees.
80%
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
A radius

31. 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
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Find a common denominator and make equivalent fractions. Then add or subtract.

32. When 2 lines are perpendicular to each other - their intersection forms 4 angles. What degree are these 4 angles?
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
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
40%
90 degrees each.

33. 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.
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.
4 angles are formed. Their sum is 360 degrees
The total # of possible outcomes.

34. HIGH: How do you calculate the circumference of a circle?
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)+
1.7
Find a common denominator and make equivalent fractions. Then add or subtract.
2pr -or- pd

35. HIGH: Describe how to deal with 2 sets of parentheses.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
2pr -or- pd
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)+

36. How do you calculate the probability of two events in a row? (Probability of A and B)
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
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.
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.

37. Explain how to divide fractions.
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.
An integer is divisible by 5 if its units digit is either 0 or 5.
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
A 90-degree angle.

38. If x² = 144 - does v144 = x?
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
Order does matter for a permutation - but does not matter for a combination.
Not necessarily. This is a trick question - because x could be either positive or negative.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

39. Diameter of a circle?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2r

40. In a coordinate system - what is the origin?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x 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.
(0 -0)
Invert the second fraction (reciprocal) and multiply

41. 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.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 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

42. HIGH: What is the Pythagorean theorem?

43. What is the formula to determine probability?
60%
1/1
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'.
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)

44. Explain the special properties of zero.
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.
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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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.

45. Area of a parallelogram?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Bh
(x+y)(x-y)
25%

46. On the GRE - should you ever assume that diagrams are truthful?
No. Never believe what you see - only what you read. GRE diagrams are often deliberately designed to be misleading or confusing.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
360 degrees
Between 0 and 1.

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

48. Define the mode of a set of numbers.
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
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.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
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%.

49. Solve this: v6 * -v6 = ?
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 triangle in which one of the three interior angles is 90 degrees.
6
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.

50. How do you solve a combination?