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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. 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.
bar graph
Tone
Primes
Public Key Encryption
2. A flat map of hyperbolic space.
Fourier Analysis
Invarient
Poincare Disk
Geometry
3. The amount of displacement - as measured from the still surface line.
Hyperbolic Geometry
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Euclid's Postulates
Amplitude
4. Are the fundamental building blocks of arithmetic.
Continuous Symmetry
Primes
each whole number can be uniquely decomposed into products of primes.
The Set of Whole Numbers
5. In the expression 3
The Commutative Property of Addition
Products and Factors
Box Diagram
Associative Property of Addition:
6. Means approximately equal.
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Public Key Encryption
˜
Bijection
7. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.
Markov Chains
Dividing both Sides of an Equation by the Same Quantity
Additive Identity:
Galton Board
8. The study of shape from the perspective of being on the surface of the shape.
Dividing both Sides of an Equation by the Same Quantity
Conditional Probability
Intrinsic View
Additive Inverse:
9. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.
Genus
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.
Variable
Equation
10. Collection of objects. list all the objects in the set and enclosing the list in curly braces.
Division is not Commutative
Commutative Property of Addition:
Divisible
set
11. Aka The Osculating Circle - a way to measure the curvature of a line.
A number is divisible by 5
Amplitude
The Kissing Circle
The Additive Identity Property
12. The state of appearing unchanged.
left to right
Additive Inverse:
Invarient
Euler Characteristic
13. A whole number (other than 1) is a _____________ if its only factors (divisors) are 1 and itself. Equivalently - a number is prime if and only if it has exactly two factors (divisors).
Prime Number
Periodic Function
counting numbers
Multiplying both Sides of an Equation by the Same Quantity
14. The study of shape from an external perspective.
Normal Distribution
Sign Rules for Division
Extrinsic View
Stereographic Projection
15. 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.
The Multiplicative Identity Property
Non-Orientability
Products and Factors
Complete Graph
16. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar
Least Common Multiple (LCM)
each whole number can be uniquely decomposed into products of primes.
Intrinsic View
a divided by b
17. If the sum of its digits is divisible by 9 (ex: 3591 is divisible by 9 since 3 + 5 + 9 + 1 = 18 is divisible by 9).
The Set of Whole Numbers
Sign Rules for Division
Markov Chains
A number is divisible by 9
18. Multiplication is equivalent to
repeated addition
Pigeonhole Principle
1. The unit 2. Prime numbers 3. Composite numbers
Multiplicative Identity:
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.
Variable
Denominator
Flat Land
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
20. A point in three-dimensional space requires three numbers to fix its location.
Countable
Amplitude
Factor Tree Alternate Approach
Spaceland
21. A + (-a) = (-a) + a = 0
Stereographic Projection
Probability
Commutative Property of Multiplication
Additive Inverse:
22. If a whole number is not a prime number - then it is called a...
each whole number can be uniquely decomposed into products of primes.
Spaceland
The Associative Property of Multiplication
Composite Numbers
23. (a
Fourier Analysis and Synthesis
One equal sign per line
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.
Division is not Associative
24. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.
a - c = b - c
The Additive Identity Property
Primes
Discrete
25. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.
Central Limit Theorem
bar graph
perimeter
Look Back
26. 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.
Group
The inverse of addition is subtraction
Ramsey Theory
The Kissing Circle
27. Originally known as analysis situs
the set of natural numbers
Topology
a
General Relativity
28. 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
The Commutative Property of Addition
The Riemann Hypothesis
perimeter
Set up an Equation
29. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.
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30. If a is any whole number - then a
The Multiplicative Identity Property
each whole number can be uniquely decomposed into products of primes.
Public Key Encryption
B - 125 = 1200
31. It is important to note that this step does not imply that you should simply check your solution in your equation. After all - it's possible that your equation incorrectly models the problem's situation - so you could have a valid solution to an inco
Flat Land
The Commutative Property of Addition
Look Back
Associative Property of Addition:
32. Because of the associate property of addition - when presented with a sum of three numbers - whether you start by adding the first two numbers or the last two numbers - the resulting sum is
Extrinsic View
evaluate the expression in the innermost pair of grouping symbols first.
Polynomial
The Same
33. A factor tree is a way to visualize a number's
left to right
The inverse of subtraction is addition
bar graph
prime factors
34. If we start with a number x and add a number a - then subtracting a from the result will return us to the original number x. x + a - a = x. so -
a + c = b + c
The inverse of addition is subtraction
A prime number
Conditional Probability
35. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.
Law of Large Numbers
Set up a Variable Dictionary.
Extrinsic View
perimeter
36. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.
˜
Bijection
bar graph
Fundamental Theorem of Arithmetic
37. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.
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
evaluate the expression in the innermost pair of grouping symbols first.
Grouping Symbols
Box Diagram
38. Uses second derivatives to relate acceleration in space to acceleration in time.
Wave Equation
Law of Large Numbers
a - c = b - c
Torus
39. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).
Distributive Property:
Expected Value
The Multiplicative Identity Property
Associate Property of Addition
40. Division by zero is undefined. Each of the expressions 6
Division is not Associative
Division by Zero
Modular Arithmetic
Commutative Property of Multiplication:
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).
per line
A number is divisible by 3
Invarient
Countable
42. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.
The Additive Identity Property
Probability
Spaceland
Set up an Equation
43. Positive integers are
Non-Euclidian Geometry
De Bruijn Sequence
counting numbers
In Euclidean four-space
44. Determines the likelihood of events that are not independent of one another.
Variable
Conditional Probability
Expected Value
Wave Equation
45. An arrangement where order matters.
left to right
Multiplying both Sides of an Equation by the Same Quantity
Denominator
Permutation
46. The fundamental theorem of arithmetic says that
Factor Tree Alternate Approach
each whole number can be uniquely decomposed into products of primes.
the set of natural numbers
General Relativity
47. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.
Prime Deserts
evaluate the expression in the innermost pair of grouping symbols first.
Answer the Question
Multiplicative Inverse:
48. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.
per line
Comparison Property
Spherical Geometry
Non-Euclidian Geometry
49. Has no factors other than 1 and itself
does not change the solution set.
Noether's Theorem
Spherical Geometry
A prime number
50. A · b = b · a
Irrational
Hypercube
Commutative Property of Multiplication:
a