Math5900 Midterm 2 Spring, 2006 Kelly MacArthurName____________________________ Date________________Instructions: Please show all your work, as partial credit will be given whereappropriate. If there is no work shown, you may not get any points for an answer,even if it’s correct. Please put your answer in the designated place. 1. (15 points)If the statement is true, write true in the blank. If it’s false, give anexample which shows that the statement is not true OR correct the statement (justnegating the statement is not allowed!).(a) For any whole numbera, a0=1. T or F (circle one) _______________________________________________________________________(b) There is a fraction greater than 25and less than 15. T or F (circle one)_______________________________________________________________________(c) 343−2=3−8T or F (circle one)_______________________________________________________________________(d) The following problem is a measurement division example: T or F (circle one) “Mary has 6 kids and 24 cookies. How many cookies will each child get, assuming she divides the cookies among them evenly?”_______________________________________________________________________(f) 35÷29=53⋅29. T or F (circle one)_______________________________________________________________________12. (40 points) Perform the following arithmetic operations. For each problem,use TWO different methods to show your work. (For example, you can usethe chip abacus, base blocks, number line, etc.)(a) 152÷5= _________________________ (You must do one partitivemethod and one measurement method.)(b) 3127 x 4= ________________________2(Note: This is #2 continued.)(c) 7−10= _______________________(d) 2513= _________________________33. (20 points) For each part of this question, use two different methods to find theanswer. Show all your work. (You can leave your answer in factored out form,if you'd like.)(a) GCF(1260, 600) = ___________________________(b) LCM(168, 1050) = ___________________________44. (8 points) Simplify. 23227÷514⋅3849(4) Answer: _______________________5. (7 points) You go to Costco and buy a large container of M&Ms, holding 33cups of the candy. In order to maintain the health of your family, you decide toeat only 125cups per day between you and your family members. How manydays will the container of M&Ms last your family? And, what amount (i.e. howmany cups) is leftover?(5) Answer: ______________________56. (10 points) Joe spends 310of his monthly budget on his car, 25of hisbudget on housing, 18of his budget on entertainment, and the remaining $210on groceries. What is the total amount of his monthly budget?(6) Answer: ______________________Extra Credit: (5 points) A 476-row auditorium seats 25 people in the first row, 26in the second row, 27 in the third row and so on. Use short-cuts to find the totalnumber of seats in the auditorium.Extra Credit Answer: