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Test your basic knowledge |
CLEP General Math: Number Sense - Patterns - Algebraic Thinking
Start Test
Study First
Subjects
:
clep
,
math
,
algebra
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. (a · b) · c = a · (b · c)
Tone
Central Limit Theorem
Associative Property of Multiplication:
counting numbers
2. 4 more than a certain number is 12
4 + x = 12
Additive Inverse:
set
Commutative Property of Multiplication:
3. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values
Periodic Function
Divisible
Hyperland
Dimension
4. A way to measure how far away a given individual result is from the average result.
Variable
Prime Number
Commutative Property of Multiplication:
Standard Deviation
5. The amount of displacement - as measured from the still surface line.
Aleph-Null
Amplitude
Figurate Numbers
Geometry
6. Public key encryption allows two parties to communicate securely over an un-secured computer network using the properties of prime numbers and modular arithmetic. RSA is the modern standard for public key encryption.
Public Key Encryption
Wave Equation
Spaceland
The Same
7. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.
Conditional Probability
Non-Euclidian Geometry
Law of Large Numbers
1. Find a relationship between the first and second numbers. 2. Then we see if the relationship is true for the second and third numbers - the third and fourth - and so on.
8. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.
Fourier Analysis
In Euclidean four-space
Invarient
A number is divisible by 5
9. In the expression 3
Euler Characteristic
Set up an Equation
Sign Rules for Division
Products and Factors
10. This method can create a flat map from a curved surface while preserving all angles in any features present.
Line Land
Stereographic Projection
Torus
Commutative Property of Multiplication
11. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t
perimeter
Multiplicative Identity:
Hyperbolic Geometry
Multiplication
12. The identification of a 'one-to-one' correspondence--enables us to enumerate a set that may be difficult to count in terms of another set that is more easily counted.
Commutative Property of Multiplication:
Line Land
B - 125 = 1200
Bijection
13. If we start with a number x and subtract a number a - then adding a to the result will return us to the original number x. In symbols - x - a + a = x. So -
evaluate the expression in the innermost pair of grouping symbols first.
The inverse of subtraction is addition
Commensurability
Least Common Multiple (LCM)
14. If we start with a number x and multiply by a number a - then dividing the result by the number a returns us to the original number x. In symbols - a
Principal Curvatures
The inverse of multiplication is division
Dimension
Continuous
15. A · 1/a = 1/a · a = 1
The Additive Identity Property
Axiomatic Systems
Multiplicative Inverse:
Grouping Symbols
16. The state of appearing unchanged.
Flat Land
Invarient
Factor Trees
Irrational
17. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.
Continuous Symmetry
Figurate Numbers
1. Mark the place you wish to round to. This is called the rounding digit . 2. Check the next digit to the right of your digit marked in step 1. This is called the test digit . If the test digit is greater than or equal to 5 - add 1 to the rounding d
Associative Property of Multiplication:
18. (a
Commensurability
Multiplying both Sides of an Equation by the Same Quantity
Division is not Associative
Periodic Function
19. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.
The inverse of multiplication is division
The Prime Number Theorem
Flat Land
A number is divisible by 3
20. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.
Continuous
Torus
bar graph
The BML Traffic Model
21. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'
Fourier Analysis and Synthesis
Problem of the Points
The inverse of addition is subtraction
Aleph-Null
22. Determines the likelihood of events that are not independent of one another.
The Prime Number Theorem
The Multiplicative Identity Property
a
Conditional Probability
23. Assuming that the air is of uniform density and pressure to begin with - a region of high pressure will be balanced by a region of low pressure - called rarefaction - immediately following the compression
Torus
Least Common Multiple (LCM)
Rarefactior
Products and Factors
24. Negative
The Prime Number Theorem
Stereographic Projection
Sign Rules for Division
Associative Property of Addition:
25. A point in three-dimensional space requires three numbers to fix its location.
Commutative Property of Multiplication:
the set of natural numbers
Spaceland
Non-Euclidian Geometry
26. A factor tree is a way to visualize a number's
Flat Land
Continuous Symmetry
prime factors
Invarient
27. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.
Box Diagram
Conditional Probability
Comparison Property
Hamilton Cycle
28. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a
Box Diagram
The Associative Property of Multiplication
Properties of Equality
A number is divisible by 3
29. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.
perimeter
Complete Graph
Non-Orientability
Grouping Symbols
30. Einstein's famous theory - relates gravity to the curvature of spacetime.
Spherical Geometry
Stereographic Projection
General Relativity
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
31. × - ( )( ) - · - 1. Multiply the numbers (ignoring the signs)2. The answer is positive if they have the same signs. 3. The answer is negative if they have different signs. 4. Alternatively - count the amount of negative numbers. If there are an even
General Relativity
Multiplication
Multiplicative Identity:
Ramsey Theory
32. A number is divisible by 2
A number is divisible by 5
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Principal Curvatures
repeated addition
33. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.
Stereographic Projection
Fourier Analysis and Synthesis
Extrinsic View
division
34. If a = b then
Fundamental Theorem of Arithmetic
Associative Property of Addition:
a - c = b - c
Public Key Encryption
35. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A
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36. A group is just a collection of objects (i.e. - elements in a set) that obey a few rules when combined or composed by an operation. In order for a set to be considered a group under a certain operation - each element must have an inverse - the set mu
Discrete
Continuous
Probability
Group
37. (a + b) + c = a + (b + c)
Pigeonhole Principle
Associative Property of Addition:
Extrinsic View
Euclid's Postulates
38. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.
Geometry
Intrinsic View
Distributive Property:
Irrational
39. If a and b are any whole numbers - then a
The Multiplicative Identity Property
Hypersphere
Commutative Property of Multiplication
The inverse of addition is subtraction
40. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.
Spaceland
Galton Board
Conditional Probability
Euler Characteristic
41. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.
Irrational
perimeter
Cayley's Theorem
One equal sign per line
42. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.
Flat Land
Galois Theory
The Riemann Hypothesis
Normal Distribution
43. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of
Solve the Equation
Transfinite
Euclid's Postulates
Hypersphere
44. Are the fundamental building blocks of arithmetic.
Primes
Axiomatic Systems
Non-Euclidian Geometry
set
45. The system that Euclid used in The Elements
Law of Large Numbers
Division is not Associative
Axiomatic Systems
Spaceland
46. Aka The Osculating Circle - a way to measure the curvature of a line.
Denominator
Invarient
The Kissing Circle
Noether's Theorem
47. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.
Markov Chains
Figurate Numbers
prime factors
Commutative Property of Multiplication:
48. If a = b then
the set of natural numbers
Hamilton Cycle
Associative Property of Multiplication:
a · c = b · c for c does not equal 0
49. The surface of a standard 'donut shape'.
Hamilton Cycle
Hypercube
Torus
A prime number
50. Does not change the solution set. That is - if a = b - then dividing both sides of the equation by c produces the equivalent equation a/c = b/c - provided c = 0.
counting numbers
Fourier Analysis
Additive Identity:
Dividing both Sides of an Equation by the Same Quantity