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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. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.
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2. All integers are thus divided into three classes:
Composite Numbers
Hyperbolic Geometry
Genus
1. The unit 2. Prime numbers 3. Composite numbers
3. 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.
Galton Board
Hamilton Cycle
Markov Chains
Solution
4. The expression a/b means
Modular Arithmetic
a divided by b
General Relativity
Multiplicative Inverse:
5. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.
Set up a Variable Dictionary.
The Riemann Hypothesis
a - c = b - c
a
6. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.
Stereographic Projection
Prime Deserts
Normal Distribution
Aleph-Null
7. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.
Countable
Frequency
Fourier Analysis
Discrete
8. If a whole number is not a prime number - then it is called a...
Hamilton Cycle
inline
Torus
Composite Numbers
9. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.
The inverse of subtraction is addition
Spherical Geometry
Continuous
Hypercube
10. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.
Line Land
Associative Property of Multiplication:
Division by Zero
Irrational
11. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator
Euclid's Postulates
Denominator
Aleph-Null
Prime Deserts
12. Has no factors other than 1 and itself
Additive Identity:
Rarefactior
Law of Large Numbers
A prime number
13. The amount of displacement - as measured from the still surface line.
Amplitude
repeated addition
a divided by b
The Kissing Circle
14. Originally known as analysis situs
Unique Factorization Theorem
Topology
a · c = b · c for c does not equal 0
Euclid's Postulates
15. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.
Ramsey Theory
Invarient
Primes
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
16. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.
4 + x = 12
Genus
Galois Theory
Complete Graph
17. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'
Exponents
Law of Large Numbers
perimeter
Aleph-Null
18. The study of shape from an external perspective.
Hamilton Cycle
inline
Extrinsic View
Multiplicative Identity:
19. At each level of the tree - break the current number into a product of two factors. The process is complete when all of the 'circled leaves' at the bottom of the tree are prime numbers. Arranging the factors in the 'circled leaves' in order. The fina
Factor Trees
Unique Factorization Theorem
The Associative Property of Multiplication
Cardinality
20. The fundamental theorem of arithmetic says that
Probability
each whole number can be uniquely decomposed into products of primes.
Exponents
Aleph-Null
21. Means approximately equal.
a
˜
General Relativity
Rarefactior
22. An algebraic 'sentence' containing an unknown quantity.
Polynomial
Countable
Continuous Symmetry
Tone
23. Rules for Rounding - To round a number to a particular place - follow these steps:
a
Hypersphere
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
Overtone
24. A way to measure how far away a given individual result is from the average result.
Standard Deviation
Line Land
Poincare Disk
The Same
25. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.
Discrete
Comparison Property
In Euclidean four-space
left to right
26. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab
Spaceland
Set up a Variable Dictionary.
Torus
Axiomatic Systems
27. Index p radicand
The Commutative Property of Addition
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Denominator
Noether's Theorem
28. The system that Euclid used in The Elements
The Prime Number Theorem
per line
Fourier Analysis
Axiomatic Systems
29. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.
Central Limit Theorem
Equivalent Equations
Flat Land
Factor Trees
30. If a = b then
Invarient
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Torus
a - c = b - c
31. 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
Group
Comparison Property
Commutative Property of Addition:
32. (a · b) · c = a · (b · c)
Dimension
Associative Property of Multiplication:
a divided by b
Spherical Geometry
33. 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.
The Same
Bijection
set
Geometry
34. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.
Fundamental Theorem of Arithmetic
Symmetry
bar graph
Hypercube
35. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a
Rational
Properties of Equality
Frequency
Amplitude
36. If on a surface there is no meaningful way to tell an object's orientation (left or right handedness) - the surface is said to be non-orientable.
Symmetry
Non-Orientability
Associate Property of Addition
Multiplying both Sides of an Equation by the Same Quantity
37. The study of shape from the perspective of being on the surface of the shape.
Intrinsic View
Commutative Property of Multiplication:
Composite Numbers
Prime Number
38. Perform all additions and subtractions in the order presented
The Associative Property of Multiplication
left to right
Euclid's Postulates
Polynomial
39. A topological invariant that relates a surface's vertices - edges - and faces.
Distributive Property:
Euler Characteristic
Least Common Multiple (LCM)
a
40. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.
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.
Commutative Property of Addition:
Central Limit Theorem
Solution
41. If the sum of its digits is divisible by 3 (ex: 3591 is divisible by 3 since 3 + 5 + 9 + 1 = 18 is divisible by 3).
A number is divisible by 3
Least Common Multiple (LCM)
B - 125 = 1200
Additive Identity:
42. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.
Prime Deserts
Hypersphere
The Additive Identity Property
The Distributive Property (Subtraction)
43. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.
Equation
Cardinality
The Kissing Circle
Additive Inverse:
44. Division by zero is undefined. Each of the expressions 6
Division by Zero
Amplitude
The inverse of multiplication is division
Galois Theory
45. A number is divisible by 2
left to right
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Markov Chains
Multiplying both Sides of an Equation by the Same Quantity
46. If a = b then
Commutative Property of Multiplication
Multiplicative Identity:
a
Associative Property of Multiplication:
47. × - ( )( ) - · - 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
Multiplication
Unique Factorization Theorem
Sign Rules for Division
Euler Characteristic
48. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to
Continuous
Hypersphere
Probability
Non-Orientability
49. Mathematical statement that equates two mathematical expressions.
Equivalent Equations
Equation
Transfinite
De Bruijn Sequence
50. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'
Periodic Function
Galton Board
Associative Property of Multiplication:
Hyperland