Unit Measurement Quiz #4 Date:____________________ 1 -1Math 10 - Mr. Muller NAME:____________________________ Conversion & Mixed Problems (Use π as programmed into you calculator) SHOW YOUR WORK - When answering each question write down the units with each answer! - Round to 2 decimal places where not indicated A. Convert between the following measures (use the formula sheet and a calculator): 1. 5.2 cm = _____________________ mm 2. 2.3 kg = _____________________ g 3. 2500 ft = _____________________ mi 4. 2.5 yd = _____________________ ft 5. 40 oz = _____________________ lbs 6. 1.2ton = _____________________ lbs 7. 50km = ______________________ mi 8. 25cm = _____________________ in 9. 150m = _____________________ yd 10. 5.5ft = _____________________ m 11. 1.0ton = _____________________ t 12. 2000 kg = _____________________ t 13. 1 day = _________________ seconds 14. 1461 days = _________________ yrs B. Mixed Word Problems 1. Resting heart rate is about 60 beats per minute. If you are exactly 15 years old how many times has your heart beat since the day you were born (Use 365.25 days in a year and assum 60bpm is your average heart rate)? 2. A square field is to be fenced; the area of the field has to be 1600 square metres. a) How long are the sides of the field? b) How long is the fence all around the field? c) Fence posts are to be placed at the corners of the field and 5 metres apart along each side, how many posts are needed? d) The fencing material to be used costs about $7 per metre and the posts cost $6 each. What will the fence cost? 3. A conveyor belt is off loading gravel onto a pile using a auger (this forms a cone shaped pile). The pile is 15 m high. The circumference of the pile at ground level is 47.12m. a) How many cubic metres of b) If one dump truck can haul? gravel is there in the pile? 8 m3 of gravel, how many trucks to move the entire pile? 2 Unit Measurement Quiz #4 -2Math 10 - Mr. Muller 4. A Solid Fuel Model Rocket is being made from Plastic like the one shown. It will be completely filled with fuel (right up into the nose cone). The bottom will have to be made (and then a hole cut in to it for the rocket nozzle later). Four fins like the one shown will be attached to the rocket. a) How much plastic in total (area) will be needed to create the rocket? 10 cm TO M ARS OR BUST 12 cm 20 25 cm 8 cm 10 cm b) One model paint bottle covers 200 square centimetres, how many bottles of paint will be needed? c) How much solid fuel will the rocket hold? d) 500 cubic centimetres of rocket fuel takes one second to burn, for how long will the rocket fuel burn? e) For each second of rocket burn the rocket can climb 100 metres, how high will the rocket climb?