SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
Test your basic knowledge |
GRE High Frequency Math Terms
Start Test
Study First
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. Convert to a percentage: 3/5
1/x^n For example - 6-² = 1/6² = 1/36
60%
The value that appears most often in a data set.
1. Given event A: A + notA = 1.
2. How precise do you need to be - using p on the GRE?
3. HIGH: how do you calculate the surface area of a rectangular box?
'Big' angles and 'Small' angles.
Turn the second fraction upside down (find its reciprocal) and multiply. Example: 2/3 ÷ 4/5 = 2/3 * 5/4
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.
4. What should you do BEFORE you start to solve a GRE math problem?
5. HIGH: Explain a method for quickly comparing fractions with different denominators - to determine which is larger.
6. HIGH: What is the side ratio for a 30:60:90 triangle?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
An integer is divisible by 9 if the sum of its digits is divisible by 9.
The value that appears most often in a data set.
1.4
7. HIGH: What is the Pythagorean theorem?
8. Probability Formula
A radius
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Favorable Outcomes/Total Possible Outcomes
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.
9. Define the median of a set of numbers - and how to find it for an odd and even number of values in a set.
10. What number goes on the bottom of a probability fraction?
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.
The total # of possible outcomes.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
1.7
11. The three exterior angles of a triangle add up to...
Percentage Change = Difference/Original * 100
Order does matter for a permutation - but does not matter for a combination.
360 degrees
V=s³
12. HIGH: What is the order of math operations - and the mnemonic to remember it?
Favorable Outcomes/Total Possible Outcomes
Arrangements - orders - schedules - or lists.
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.
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
13. What do combination problems usually ask for?
180 degrees.
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
Groups - teams - or committees.
(0 -0)
14. HIGH: What is the equation of a line?
15. An integer is divisible by 4 if...
16. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
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.
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.
Multiply numerator times numerator and denominator times denominator.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
17. Area of a square?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
S²
6
x² + 2xy + y²
18. HIGH: Rough est. of v3 =
Between 0 and 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.
1.7
(a+b)(a-b)
19. Explain how to use an 'Average Pie'
'Big' angles and 'Small' angles.
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.
Draw a circle. The top half holds the Total. The bottom left quadrant holds Number of Things. Bottom right holds Average.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
20. Explain the difference between a digit and a number.
21. v4 =
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.
90 degrees each.
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
2
22. Convert to a percentage: 1/4
25%
Probability A * Probability B
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.
An integer is divisible by 2 if its units digit is divisible by 2.
23. HIGH: Area of a circle
A=pr²
For RIGHT triangles only: c² = a² + b² 'c' is the length of the hypotenuse; 'a' and 'b' are the other two sides ('legs')
25%
6
24. HIGH: What is a '30:60:90' triangle?
(x+y)(x-y)
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
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'.
90 degrees each.
25. HIGH: To divide powers with the same base...
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
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
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.
2pr -or- pd
26. List two odd behaviors of exponents
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
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.
Find the total - or whole - first - and then set up a Ratio Box.
27. In a coordinate system - what is the origin?
Total of the elements divided by the number of elements. Example: (4 -6 -7) -- add 4+6+7 = 17 and divide by 3
Probability A * Probability B
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(0 -0)
28. What is the sum of any 'big' angle and any 'Small' angle?
For RIGHT triangles only: c² = a² + b² 'c' is the length of the hypotenuse; 'a' and 'b' are the other two sides ('legs')
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.
180 degrees.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
29. HIGH: Define the formula for calculating slope.
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.
A 90-degree angle.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
30. What is the equation for a group problem?
An integer is divisible by 5 if its units digit is either 0 or 5.
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
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
31. HIGH: How do you calculate the length of an arc?
32. HIGH: What must be true before a quadratic equation can be solved?
33. How many angles are formed when 2 lines intersect? and what is the sum of these angles?
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.
(x+y)²
4 angles are formed. Their sum is 360 degrees
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.
34. What is the 'Third side' rule for triangles?
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.
Invert the second fraction (reciprocal) and multiply
Vertical angles are the angles that are across from each other when 2 lines intersect. Vertical angles are always equal.
Probability A * Probability B
35. How do you solve a permutation?
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=pr²
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 line is a 180-degree angle.
36. If x² = 144 - does v144 = x?
Not necessarily. This is a trick question - because x could be either positive or negative.
Probability A + Probability B
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
37. List all the prime numbers that are less than 30:
Not reading the problems carefully enough!
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.
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
Order does matter for a permutation - but does not matter for a combination.
38. HIGH: What is 'absolute value' - and how is it represented?
39. What causes 80% of errors on the math section of the GRE?
Not reading the problems carefully enough!
A line is a 180-degree angle.
2 -3 -5 -7 -11 -13 -17 -19 -23 -29. Note that 0 and 1 are not prime numbers.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
40. HIGH: What is the factored version of (x+y)(x-y) ?
x²-y²
A radius
An integer is divisible by 8 if its last three digits form a number that'S divisible by 8. For example - 11 -640.
2pr -or- pd
41. The probability of an event happening and the probability of an event NOT happening must add up to what number?
A radius
1. Given event A: A + notA = 1.
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.
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.
42. For a bell curve - what three terms might be used to describe the number in the middle?
25%
1
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.
The average - mean - median - or mode.
43. HIGH: Volume of a cylinder?
V=pr²h (This is just the area multiplied by the height)
The average - mean - median - or mode.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
It will be a great advantage on test day to have your times table memorized from 1 through 15.
44. In a coordinate system - identify the quadrants and describe their location.
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.
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 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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
45. HIGH: What numbers does ETS hope you'll forget to consider - for quant comp questions?
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
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
This equals 7 ÷¼ - or 7/1 ÷ 1/4 = 7/1 * 4/1 = 28/1 = 28
ZONE-F numbers: Zero - One - Negatives - Extreme values - Fractions
46. How many degrees does a circle contain?
An integer is divisible by 9 if the sum of its digits is divisible by 9.
180 degrees.
360 degrees
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.
47. Simplify this: v32
The total # of possible outcomes.
The # falling in the center of an ordered data set
V32 = v16*2. We can take the square root of 16 and move it outside the square root symbol - = 4v2.
Bh
48. HIGH: Simplify this: v75/v27
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
60%
Using a simple '3' is usually close enough. Just remember that p is slightly more than 3 - if a comparison is called for.
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.
49. HIGH: What is the factored version of x² + 2xy + y² ?
1
1.4
Favorable Outcomes/Total Possible Outcomes
(x+y)²
50. What is the formula to determine probability?
2 - 14 - and 34. So - a Bell - standard deviation - or normal distribution curve would be segmented: | 2% | 14% | 34% |average score| 34% | 14% | 2% |
(# of possible outcomes that satisfy the condition) ÷ (total # of possible outcomes)
4 angles are formed. Their sum is 360 degrees
Not necessarily. This is a trick question - because x could be either positive or negative.