Math 10A&W Name:______________ 4.1 Temperature Conversions 1. Convert the following temperatures to degrees Fahrenheit. Show work. a. 27⁰C 2. Convert the following temperatures to degrees Celsius. Show work. a. -30⁰F b. -16⁰C b. 40⁰F c. 200⁰C c. 425⁰F d. 0⁰C d. 6⁰F For all work problems, convert the temperature and state your solution in point form. 3. When the human body reaches a temperature of 41⁰F, it is said to be in a state of “medical emergency.” What is this temperature in degrees Celsius? 4. The normal temperature for a dog is from 99⁰F to 102⁰F. Brian’s son has a temperature of 43⁰C. Convert the temperature to Fahrenheit to calculate if it falls within the normal range. (Should they go to the hospital??) 5. Mr. Kadach has built the cabinets for his kitchen. He should not apply the final coat of varnish if the temperature is below 6⁰C. The temperature is 40⁰F. Is it safe to apply the paint? 4.2 Mass in the Imperial System 6. Convert the following pounds to kilograms. Show work. a. 40lbs. 7. Convert the following tons to pounds. Show work. a. 3.8 tons b. 175lbs b. 60 tons c. 456lbs c. 0.4 tons 8. Which unit – ounce, pound or ton - would you use to express the weight of the following? a) A bike b) Sofa c) An I-phone For all work problems, convert and state your solution in point form. 9. It is estimated that recycling 1 ton of paper saves about 17 trees. About how many trees are saved if 8254 tons of paper are recycled? 10. Eva bought 3 rainbow trout for dinner. They weighed 3lb 5oz, 2lb 12 oz, and 3 lb 8 oz. a) What was their combined weight in pounds and ounces. b) If she cut the heads and tails off the fish and was left with 8 lb 2 oz. What was the amount of waste? 11. A bakery uses a recipe for oatmeal cookies that calls for 1lb 4oz of flour to make 9 dozen cookies. How many ounces of flour are needed to make 3 dozen cookies? 4.3 Mass in the Systeme International **Use 1 tonne = 1000 kg** 12. Convert the following weights. Show work. a. 3.6t. = _________kg c. 4983 g = _______ kg d. 2 t = _________lb b. 9.8kg = ________g e. 4.8 t = _________kg For all work problems, convert and state your solution in point form. 13. Karen is making a batch of potato soup. She needs 12 potatoes, and each potato weights about 215 g. How many pounds of potatoes does she need? 14. A robins egg weighs about 70g. How many eggs would it take to make 1 kilogram? 15. What is the total weight of a loaded truck if the truck weighs 4 tonnes and it is loaded with 18 boxes that weigh 32 kg each? Give your answer in tonnes. 4.4 Making Conversions 16. a) The conversion factor for white beans is 36.744bu/t. What is the weight of the white beans in kilograms? b) The conversion factor for corn is 39.368bu/t. What is the weight of the corn in kilograms? c) What is the better buy? 3. A wooden crate is used for storing oats. The dimensions of the crate are 12 feet long by 3.5 feet wide by 2 feet high. 1 bushel = 2220 cubic inches. a) Change the dimensions of the crate to inches. b) Calculate the volume of the crate in inches. c) How many bushels of oats will the bin hold? d) For transporting the grain we need to know the weight of the oats. How many tonnes are in the bin? e) If my truck can carry a load that is a half a tonne. How many trips will I have to make to deliver the oats? Solutions 1a) 80.6 b) 3.2 c) 392 d) 32 2a) -34 b) 4.4 c) 218 d) -14.4 3) 5 4) 109.4 5) 4.4 6a) 18.2 b) 79.5 c) 207.3 7a) 7600 b) 120000 c) 800 9) 14025 11) 6.7 oz 13) 6 lb 14) 14 eggs 15) 4.576 tonnes
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