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CLEP General Mathematics: Number Systems And Sets

Subjects : clep, math
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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. Integers greater than zero and less than 5 form a set - as follows:






2. Quotient






3. A branch of geometry studying more general reflections than ones about a line - can also be expressed in terms of complex numbers.






4. The greatest of 3 consecutive whole numbers - the smallest of which is F






5. The number of digits in an integer indicates its rank; that is - whether it is 'in the hundreds -' 'in the thousands -' etc. The idea of ranking numbers in terms of tens - hundreds - thousands - etc. - is based on the






6. One asks whether there are any rational points (points all of whose coordinates are rationals) or integral points (points all of whose coordinates are integers) on the curve or surface. If there are any such points - the next step is to ask how many






7. LAWS FOR COMBINING NUMBERS






8. A number is divisible by 3 if






9. The numbers which are used for counting in our number system are sometimes called






10. Is a number that can be expressed in the form where a and b are real numbers and i is the imaginary unit - satisfying i2 = -1. For example - -3.5 + 2i is a complex number. It is common to write a for a + 0i and bi for 0 + bi. Moreover - when the imag






11. Any number that is not a multiple of 2 is an






12. The real and imaginary parts of a complex number can be extracted using the conjugate:






13. Number X decreased by 12 divided by forty






14. Any number that can be divided lnto a given number without a remainder is a






15. Less than






16. The place value which corresponds to a given position in a number is determined by the






17. Remainder






18. In the Rectangular Coordinate System - On the vertical line - direction _______ is negative






19. Begin by taking out the smallest factor If the number is even - take out all the 2's first - then try 3 as a factor






20. If a factor of a number is prime - it is called a






21. This law can be applied to subtraction by changing signs so that all negative signs become number signs and all signs of operation are positive.






22. Any number that la a multiple of 2 is an






23. In the Rectangular Coordinate System - On the vertical line - direction ________ is positive






24. Number T increased by 9






25. No short method has been found for determining whether a number is divisible by






26. If z is a real number (i.e. - y = 0) - then r = |x|. In general - by Pythagoras' theorem - r is the distance of the point P representing the complex number z to the origin.






27. The finiteness or not of the number of rational or integer points on an algebraic curve






28. A number that has no factors except itself and 1 is a






29. The relative greatness of positive and negative numbers






30. Any number that is exactly divisible by a given number is a






31. Implies a collection or grouping of similar - objects or symbols.






32. One asks whether there are any rational points (points all of whose coordinates are rationals) or integral points (points all of whose coordinates are integers) on the curve or surface. If there are any such points - the next step is to ask how many






33. A number is divisible by 8 if






34. A form of coding in which the value of each digit of a number depends upon its position in relation to the other digits of the number. The convention used in our number system is that each digit has a higher place value than those digits to the right






35. Decreased by






36. Viewed in this way the multiplication of a complex number by i corresponds to rotating a complex number






37. Allow for solutions to certain equations that have no real solution: the equation has no real solution - since the square of a real number is 0 or positive.






38. Are often studied as extensions of smaller number fields: a field L is said to be an extension of a field K if L contains K. (For example - the complex numbers C are an extension of the reals R - and the reals R are an extension of the rationals Q.)






39. Sum






40. The sum of two complex numbers A and B - interpreted as points of the complex plane - is the point X obtained by building a parallelogram three of whose vertices are O - A and B. Equivalently - X is the point such that the triangles with vertices O -






41. A letter tat represents a number that is unknown (usually X or Y)






42. Number symbols






43. These are emphasised in a complex number's polar form and it turns out notably that the operations of addition and multiplication take on a very natural geometric character when complex numbers are viewed as position vectors:






44. A number is divisible by 2 if






45. A number that has factors other than itself and 1 is a






46. A curve in the plane






47. Are not necessary. That is - the elements of {2 - 2 - 3 - 4} are simply {2 - 3 - and 4}






48. This law states that the sum of three or more addends is the same regardless of the manner in which they are grouped. suggests association or grouping.






49. G - E - M - A Grouping - Exponents - Multiply/Divide - Add/Subtract






50. This law states that the product of three or more factors is the same regardless of the manner in which they are grouped. Negative signs require no special treatment in the application of this law.






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