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 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.






2. (a · b) · c = a · (b · c)






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






4. 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.






5. Also known as 'clock math -' incorporates 'wrap around' effects by having some number other than zero play the role of zero in addition - subtraction - multiplication - and division.






6. The expression a/b means






7. A factor tree is a way to visualize a number's






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

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


9. 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






10. Cannot be written as a ratio of natural numbers.






11. 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.






12. 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.






13. 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.






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






15. A(b + c) = a · b + a · c a(b - c) = a · b - a · c






16. Whether or not we hear waves as sound has everything to do with their _____________ - or how many times every second the molecules switch from compression to rarefaction and back to compression again - and their intensity - or how much the air is com






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






18. An arrangement where order matters.






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






20. The study of shape from an external perspective.






21. 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.






22. A · 1/a = 1/a · a = 1






23. The system that Euclid used in The Elements






24. ____________ 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






25. Is a symbol (usually a letter) that stands for a value that may vary.






26. 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.






27. 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.'






28. A number is divisible by 2






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






30. Are the fundamental building blocks of arithmetic.






31. If a = b then






32. If a is any whole number - then a






33. Is the shortest string that contains all possible permutations of a particular length from a given set.






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






35. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.






36. Has no factors other than 1 and itself






37. Positive integers are






38. When writing mathematical statements - follow the mantra:






39. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'






40. 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






41. If a = b then






42. Let a and b represent two whole numbers. Then - a + b = b + a.






43. N = {1 - 2 - 3 - 4 - 5 - . . .}.






44. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.






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






46. If a represents any whole number - then a






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






48. 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).






49. 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.






50. A · 1 = 1 · a = a