Math Exam 1 Answers Fall 2011 Circle the LETTER of the correct answer for #1-3.

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1 Circle the LETTER of the correct answer for #1-3. (7 pts)1. Convert 25.6 cm to a: kilometers and b: millimeters. a: km b:256 mm (7 pts)2. In the Babylonian numeration system, represents 1 and represents 10. The Babylonian system is a base sixty system. Determine the value in our number system for the Babylonian number: 4283 (7 pts)3. An ice cream shop sells sundaes in three sizes with 8 different toppings and a choice of a waffle bowl or regular plastic cup. How many different sundae possibilities are there? None of the above (48) 1

2 (12 pts)4. List five relevant quantities that are involved with this problem situation. For each quantity, if the value is given, write it in the Given Value column. If the value is not given, determine and write the value. One example is provided. Be specific. Two trains leave from different stations and travel toward each other on parallel tracks. They leave at the same time. The stations are 288 miles apart. One train travels at 76 mph and the other travels 8 mph slower. How long after they leave their stations do they meet each other? Quantity Given Value Determined Value Speed of first train 76 mph 1) Speed of second train 68 mph 2) Distance between stations 288 miles 3) Difference between speeds of two trains 8 mph 4) Combined speeds of two trains 144 mph 5) Length of time trains travel before they meet 2 hours Consider the difference between the time on a clock and the amount of time that has elapsed. These are not the same. Only the elapsed time is a quantity. (8 pts)5. Name an appropriate unit for measuring each quantity. Quantity Metric Unit English Unit amount of liquid in a bottle of eye drops milliliter fluid ounce or teaspoon or tablespoon weight of a German shepherd dog kilogram pound length of a kitchen table cm or dm or m foot or inch or yard amount of water in a full bathtub liters gallon 2

3 (8 pts)6. On a shopping trip, Nikki spent $ on three items of clothing. The cost of the skirt was twice as much as the scarf and the cost of the jacket was $22 more than the skirt. What was the price of each item? Use a diagram to solve this problem. Label your diagram in a way that clarifies your thinking. Do not use an algebraic solution. scarf: skirt: COST jacket: 22 Cost of skirt: $37 Cost of scarf: $18.50_ Cost of jacket: $59 (6 pts)7. Fill in the blanks. In base ten, 3289 is exactly 3289 ones; is exactly tens, is exactly 32.89_hundreds, and is exactly thousands. It is also exactly tenths or exactly _ hundredths. (8 pts)8. a) CDXIV = 414 ten b) 43 five + 43 five = 141 five c) 84 ten = _10010 three d) 33.3 six = 21.5 ten 3

4 (6 pts)9. The drawing represents a base four addition problem. Identify the original problem and show work on the drawing of any grouping needed to find the answer. Base four addition problem: 233 four + 13 four Answer: 312 four (7 pts)10. Refer to this story problem to complete your answers. Natalie wants to have 15 party favors for the party she is giving. So far she has made 12 party favors. How many party favors does she still need to make? This story problem uses the missing-addend concept of subtraction. The quantities in the problem are (circle one) : discrete continuous Write a new problem using the same numbers but a DIFFERENT concept of subtraction. Do NOT use take-away. New problem: Natalie has 12 party favors. Joan has 15 party favors. How many more party favors does Joan have than Natalie? New concept of subtraction: comparison 4

5 (8 pts)11. Jessica is working on a project to decorate pillows with various trims. At the craft store, she finds lace, ribbon and fringe on spools. The amount of ribbon she buys is 6 inches more than the amount of lace. The amount of lace is1 1 feet less than the amount of fringe. How does the 3 amount of ribbon compare to the amount of fringe? Use a diagram to solve this problem. Algebraic solutions will not receive credit. Lace: Ribbon: Fringe: 6 in 16 in Sentence answer: (grammar will be graded) Jessica has 10 in. more fringe than ribbon. OR Jessica has 10 in. less ribbon than fringe. If Jessica buys 1 yard of lace, determine the amount of ribbon and fringe she buys (in feet). amount of ribbon: 3 1/2 feet amount of fringe: 4 1/3 feet 5

6 (6 pts)12. A student was starting his work on the problem Finish the problem using all necessary arrows and numbers. Write a possible explanation for starting the problem this way. 137 Explanation: The student is using the largest multiple of 10 to start the subtraction. Use the empty number line to redo the same problem, but with a different first jump. No explanation is needed. multiple possibilities 137 Answer to subtraction problem: 88_ (10 pts)13. Locate the decimal points in the products by thinking about the part-of-an-amount meaning for multiplication. Do not work the problems out by hand. Insert zeros in the product, if needed. a) b) c) d ) e)