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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. The objects in a set have at least






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






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






4. A number is divisible by 4 if






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






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






7. Subtraction






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






9. Allow the variables in f(x -y) = 0 to be complex numbers; then f(x -y) = 0 defines a 2-dimensional surface in (projective) 4-dimensional space (since two complex variables can be decomposed into four real variables - i.e. - four dimensions). Count th






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






11. 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






12. Addition of two complex numbers can be done geometrically by






13. Quotient






14. 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






15. A number is divisible by 9 if






16. The relative greatness of positive and negative numbers






17. First axiom of equality






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






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






20. Number T increased by 9






21. The square roots of a + bi (with b ? 0) are - where and where sgn is the signum function. This can be seen by squaring to obtain a + bi.






22. The set of all complex numbers is denoted by






23. Is called the real part of z - and the real number b is often called the imaginary part. By this convention the imaginary part is a real number - not including the imaginary unit: hence b - not bi - is the imaginary part. (Others - however call bi th






24. 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:






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






26. 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 -






27. The Arabic numerals from 0 through 9 are called






28. This formula can be used to compute the multiplicative inverse of a complex number if it is given in






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






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






31. 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.)






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






33. This law combines the operations of addition and multiplication. The distribution of a common multiplier among the terms of an additive expression.






34. If two equal quantities are multiplied by the same quantity - the resulting products are equal. If equals are multiplied by equals - the products are equal.






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






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






37. More than one term (5x+4 contains two)






38. Total






39. Less than






40. If the same quantity is subtracted from each of two equal quantities - the resulting quantities are equal. If equals are subtracted from equals - the results are equal.






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






42. Are used to indicate sets






43. Sum






44. Product of 16 and the sum of 5 and number R






45. LAWS FOR COMBINING NUMBERS






46. Number X decreased by 12 divided by forty






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






48. 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






49. If two equal quantities are divided by the same quantity - the resulting quotients are equal. If equals are divided by equals - the results are equal.






50. The base which is most commonly used is ten - and the system with ten as a base is called the decimal system (decem is the Latin word for ten). Any number is assumed - unless indicated - to be a







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