Ratio Review Questions

Given a rectangle with a length of 8 cm and a width of 6 cm, determine the simplest form of the ratio of length to width.

• 4:3

• 8:6

• 2:1

• 3:4

Answer explanation

To find the ratio of length to width, divide both by their greatest common divisor (GCD), which is 2. Thus, 8 cm : 6 cm simplifies to 4:3. Therefore, the simplest form of the ratio is 4:3.

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CCSS.6.RP.A.1

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Six friends equally shared 3 pizzas, each having 8 slices. What is the ratio of slices each person received?

• 4:1

• 3:1

• 2:1

• 1:1

Answer explanation

Each pizza has 8 slices, so 3 pizzas have 24 slices. Dividing 24 slices among 6 friends gives each person 4 slices. The ratio of slices each person received is 4:1, indicating each person gets 4 slices for every 1 slice in the ratio.

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CCSS.6.RP.A.1

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A car travels 240 miles in 4 hours. Calculate the ratio of distance to time traveled.

• 60 miles per hour

• 55 miles per hour

• 65 miles per hour

• 50 miles per hour

Answer explanation

To find the ratio of distance to time, divide the distance (240 miles) by the time (4 hours). 240 miles ÷ 4 hours = 60 miles per hour, which is the correct answer.

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CCSS.6.RP.A.1

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A recipe makes 12 cookies using 1 cup of sugar. If you want to make 36 cookies, how many cups of sugar do you need?

Answer explanation

To make 36 cookies, you need 3 times the original amount (36/12). Since the recipe uses 1 cup of sugar for 12 cookies, for 36 cookies, you would need 3 cups of sugar. The correct answer is 3.

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CCSS.6.RP.A.1

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The lengths of two sides of a triangle are in the ratio 3:5, with the longer side measuring 15 meters. Determine the length of the shorter side.

• 9 meters

• 10 meters

• 12 meters

• 8 meters

Answer explanation

The ratio of the sides is 3:5. If the longer side is 15 meters (5 parts), then each part is 3 meters. The shorter side (3 parts) is 3 x 3 = 9 meters.

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CCSS.6.RP.A.1

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A mixture of paint is made by mixing 2 gallons of red paint with 3 gallons of blue paint. How many gallons of paint will you need to mix with 4 gallons of blue paint to maintain the same ratio? (Round to the hundredth's place)

Answer explanation

The original ratio of red to blue paint is 2:3. With 4 gallons of blue paint, to maintain the ratio, you need (2/3) * 4 = 2.67 gallons of red paint.

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CCSS.6.RP.A.1

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In a box of candies, the ratio of red to green candies is 4:7. If there are 28 green candies, how many red candies are there?

Answer explanation

The ratio of red to green candies is 4:7. With 28 green candies, we can set up the proportion: 4/7 = x/28. Solving for x gives x = 16. Therefore, there are 16 red candies.

Tags

CCSS.6.RP.A.1

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The price of 5 notebooks is $15. What is the price of 12 notebooks?

Answer explanation

The price of 5 notebooks is $15, so each notebook costs $3. For 12 notebooks, the cost is 12 x $3 = $36.

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CCSS.6.RP.A.1

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A factory can produce 1200 units in 5 hours. How many hours will it take to produce 1800 units?

Answer explanation

The factory produces 1200 units in 5 hours, which means it produces 240 units per hour. To produce 1800 units, it would take 1800 / 240 = 7.5 hours. Therefore, the correct answer is 7.5.

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CCSS.6.RP.A.1

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The scale on a map is 1 inch represents 20 miles. If the distance between two cities on the map is 3.5 inches, what is the actual distance in miles?

Answer explanation

To find the actual distance, multiply the map distance by the scale: 3.5 inches x 20 miles/inch = 70 miles. Therefore, the actual distance between the two cities is 70 miles.

Tags

CCSS.6.RP.A.1

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CCSS.6.RP.A.2