MATH 140 Test 1 Name________________

Instructions: Answer all the questions on the paper provided and show all your work so that partial credit may be given.

I. Find the next three terms in each of the following sequences: (12)

1. 2, 11, 20, 29, ___, ___, ___

2. 2, 11, 22, 35, ___, ___, ___

3. 2, 11, 12, 21, ___, ___, ___

II. Find ________ (6)

III. Find three different possible values for the Mesopotamian numeral given below:

_________, _________, _________ (9)

IV. Write 1544 as a Roman Numeral: __________ (4)

V. Compute 644¸23 using the Egyptian Method. (7)

VI. Let be the function from A={1,2,3,4} to B={1,2,3,4,5} defined by the formula f(x)=6-x. Show the function f as (8)

1) a set of ordered pairs

2) an arrow diagram.

VII. Let A={1,2,3,4}, B={1,3,5,7}, and C={3,9,a,b}. Give one example of an element of each of the following sets: (12)

1. ____________

2. ____________

3. ____________

4. ____________

VIII. Let U={1,2,3,…,10). In each of the following find examples of sets A and B that satisfy the given conditions or write impossible if the conditions can not be satisfied: (18)

1. n(A) = 6, n(B) = 8, and A={__________} B={____________}

2. n(A) = 6, n(B) = 8, and A={__________} B={____________}

3. n(A)=3, n(B) = 3, n(A-B)=2, n(B-A)=1 A={__________} B={____________}

4. n(A)=3, A={__________} B={____________}

5. n(A) = 1 and A={__________} B={____________}

6. A={__________} B={____________}

IX. Draw and shade Venn Diagrams for each of the following sets: (10)

1. 2.

X. The 40 students in the Math 140 classed are polled as to their activities. 12 are active in Central Council. 16 work at the Volunteer Center and 16 play Volleyball. 3 are active in all three places. 6 Central Council members play volleyball. 6 Central Council members work at the Volunteer Center. 10 students are only involved in Volleyball. (14)

1.) How many are not involved in any of these activities? ________

2.) How many are involved in exactly one? ________

3.) How many Play volleyball but are not in Central Council? _______