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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 represents any whole number - then a






2. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.






3. A way to extrinsically measure the curvature of a surface by looking at a given point and finding the contour line with the greatest curvature and the contour line with the least curvature.






4. The study of shape from the perspective of being on the surface of the shape.






5. A number is divisible by 2






6. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.

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7. Has no factors other than 1 and itself






8. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.






9. The study of shape from an external perspective.






10. 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






11. 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.






12. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator






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 -






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






15. Is a path that visits every node in a graph and ends where it began.






16. An important part of problem solving is identifying






17. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).






18. To describe and extend a numerical pattern






19. 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






20. 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.






21. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values






22. 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






23. 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






24. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.






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






26. (a






27. When writing mathematical statements - follow the mantra:






28. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.






29. 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.






30. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)

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31. 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.






32. Means approximately equal.






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






34. Index p radicand






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






36. If its final digit is a 0 or 5.






37. The four-dimensional analog of the cube - square - and line segment. A hypercube is formed by taking a 3-D cube - pushing a copy of it into the fourth dimension - and connecting it with cubes. Envisioning this object in lower dimensions requires that






38. If a = b then






39. 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).






40. The system that Euclid used in The Elements






41. Add and subtract






42. Adding the same quantity to both sides of an equation - if a = b - then adding c to both sides of the equation produces the equivalent equation a + c = b + c.






43. If grouping symbols are nested






44. If a = b then






45. 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






46. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.






47. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.






48. The state of appearing unchanged.






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






50. 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).







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