Ratios
A bag of marbles contains 16 red, 12 white, 4 blue, and 10 green. Use this information to answer questions #1 – #3.
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| 1) What is the ratio of white marbles to all the marbles in the bag? (simplify)
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| 2) What is the ratio of blue marbles to green marbles? (simplify ratio to lowest terms)
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| 3) What is the ratio of red and green marbles to the total number of marbles?
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Using Ratios to Solve Proportions
For problems #4 through #7, write a proportion, and then solve.
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| 4) If Fred feeds 12 horses for two weeks with 25 bales of hay, how many bales of hay does he need to feed 15 horses for two weeks?
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| 5) If dog food costs $6.00 for 20 pounds, what would be the cost for 15 pounds?
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| Millersburg Middle School has 1000 students, 40 teachers, and 5 administrators. Use this information to solve problems #6 and #7. |
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| 6) If the school grows to 1200 students and the ratios are maintained, find the number of teachers that will be needed.
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| 7) If the school grows to 1600 students and the ratios are maintained, find the number of administrators that will be needed.
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Derived Measurements
Solve problems #8 and #9 and label the answer as a rate.
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| 8) On a vacation trip the Edwards family traveled 600 miles and used 24 gallons of gas. What is the unit rate of gas consumption used on the trip? Label answer with a rate label.
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| 9) In 1988 Florence Griffith-Joyner ran the 100 meter dash for women in 10.49 seconds to set the world record. What was her unit rate of speed? Round answer to nearest hundredth.
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| 10) Solve.
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| 11) Solve.
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| 12) Solve.
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| 13) On a map, 1/2 in represents 200 mi. Justin measured 3 3/8 inches on the map for the distance between Palmera and Bridgeville. What was the actual distance between the two cities?
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Make a scale drawing as directed below to answer questions #14 and #15.
The face of your computer monitor is probably close to a rectangle in shape. Measure the base and height your computer monitor. Make a rectangular scale drawing of the monitor using the scale: 1 scaled inch represents 4 actual inches. Use your scale drawing to answer questions #14 and #15.
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| 14) State the actual length of the face of the monitor, state a proportion to find the scaled length, and then state the scaled length.
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| 15) State the actual height of the face of the monitor, state a proportion to find the scaled height, and then state the scaled height.
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Making Equations Using Tables and the Constant of Proportionality and Graphing Rates Using the Constant of Proportionality
The students in Ms. Baca’s art class were mixing yellow and blue paint. She told them that two mixtures will be the same shade of green if the blue and yellow paint are in the same ratio. The table below shows the different mixtures of paint that the students made. Using this information, answer questions 16 through 19.
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| 16) How many different shades of paint did the students make?
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| 17) Some of the shades of paint were bluer than others. Which mixture(s) were the bluest? Show work or explain how you know.
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| 18) Carefully plot a point for each mixture on a coordinate plane like the one that is shown in the figure. (Graph paper might help.)
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| 19) Draw a line connecting each point to (0, 0). What do the mixtures that are the same shade of green have in common?
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| 20) The biggest desert on the earth is the Sahara, in Africa, which covers 3,500,000 square miles. Express its area in scientific notation.
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| 21) True or False. 0.7 = 0.70000
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| 22) Find the difference. 34 – 19.285
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| 23) Find the sum. 16.22 + 43.4 + 29
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| 24) Find the product. 70.3 × 42.8
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| 25) Find the quotient. Round to nearest hundredth. 49 ÷ 5.1
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| 26) Estimate the length of the arrow to the nearest sixteenth inch.
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| 27) Ella’s mother is making a roast. She placed the roast in the oven at 2:45 p.m. She must remove the roast from the oven at 5:15 p.m. How long will the roast be in the oven?
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| 28) Convert. 2400 mg = _________ g
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| 29) Convert. 7.38 m = ___________ cm
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| 30) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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