Test your basic knowledge |

CLEP General Math: Number Sense - Patterns - Algebraic Thinking

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. If a - b - and c are any whole numbers - then a






2. A number is divisible by 2






3. Division by zero is undefined. Each of the expressions 6






4. Einstein's famous theory - relates gravity to the curvature of spacetime.






5. Let a - b - and c be any whole numbers. Then - a






6. 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






7. If a = b then






8. The fundamental theorem of arithmetic says that






9. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones






10. A + 0 = 0 + a = a






11. When writing mathematical statements - follow the mantra:






12. 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.






13. Every whole number can be uniquely factored as a product of primes. This result guarantees that if the prime factors are ordered from smallest to largest - everyone will get the same result when breaking a number into a product of prime factors.






14. Multiplication is equivalent to






15. Determines the likelihood of events that are not independent of one another.






16. Aka The Osculating Circle - a way to measure the curvature of a line.






17. 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.






18. 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






19. Requirements for Word Problem Solutions.






20. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.






21. 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).






22. The answer to the question of why the primes occur where they do on the number line has eluded mathematicians for centuries. Gauss's Prime Number Theorem is perhaps one of the most famous attempts to find the 'pattern behind the primes.'






23. This method can create a flat map from a curved surface while preserving all angles in any features present.






24. 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.






25. If a = b then






26. A + b = b + a






27. A graph in which every node is connected to every other node is called a complete graph.






28. 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






29. Two equations if they have the same solution set.






30. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.






31. 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






32. Of central importance in Ramsey Theory - and in combinatorics in general - is the 'pigeonhole principle -' also known as Dirichlet's box. This principle simply states that we cannot fit n+1 pigeons into n pigeonholes in such a way that only one pigeo






33. A way to measure how far away a given individual result is from the average result.






34. (a






35. 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






36. A · 1 = 1 · a = a






37. 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.






38. This model is at the forefront of probability research. Mathematicians use it to model traffic patterns in an attempt to understand flow rates and gridlock - among other things.






39. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.






40. In a mathematical sense - it is a transformation that leaves an object invariant. Symmetry is perhaps most familiar as an artistic or aesthetic concept. Designs are said to be symmetric if they exhibit specific kinds of balance - repetition - and/or






41. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.






42. To describe and extend a numerical pattern






43. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.






44. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.






45. 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






46. Uses second derivatives to relate acceleration in space to acceleration in time.






47. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.






48. 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.






49. 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.






50. 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.







Sorry!:) No result found.

Can you answer 50 questions in 15 minutes?


Let me suggest you:

Browse all subjects

Browse all tests

Most popular tests



Major Subjects

Tests & Exams


AP
CLEP
DSST
GRE
SAT
GMAT

Browse all subjects

Browse all tests

Most popular tests