Benchmark numbers

Multiple Choice Questions

  1. What is the ratio of 6 to 12?

    A) 1:2

    B) 2:1

    C) 3:2

    D) 1:6

  2. If there are 4 apples and 8 oranges, what is the ratio of apples to oranges?

    A) 1:2

    B) 2:1

    C) 4:8

    D) 3:5

  3. Which of the following ratios is equivalent to 3:4?

    A) 6:8

    B) 9:12

    C) 12:15

    D) 15:20

  4. A recipe calls for 2 cups of sugar to every 3 cups of flour. What is the ratio of sugar to flour?

    A) 2:3

    B) 3:2

    C) 2:5

    D) 5:2

  5. If the ratio of boys to girls in a class is 5:7 and there are 35 boys, how many girls are there?

    A) 49

    B) 42

    C) 56

    D) 28

Fill-in-the-Blank Questions

  1. The ratio 10:15 can be simplified to :.

  2. If 12 students prefer basketball and 16 prefer soccer, the ratio of basketball lovers to soccer lovers is . (simplified)

  3. When a recipe requires 1 cup of rice for every 2 cups of water, the ratio of rice to water is .

  4. In a school, the ratio of teachers to students is 1:25. If there are 4 teachers, there are students.

  5. If a car travels 150 miles on 5 gallons of gas, the ratio of miles to gallons is .

Open-ended Question

  1. Create a ratio based on your favorite sports teams. Explain the significance of that ratio in the context of the teams' performances.

  2. If you were to mix juice and water in the ratio of 3:1 for a party, how many cups of each would you need for 20 cups of mixture? Show your work and explain your reasoning.

Answer Key

Multiple Choice Questions

  1. A

  2. A

  3. A

  4. A

  5. B

Fill-in-the-Blank Questions

  1. 2:3

  2. 3:4

  3. 1:2

  4. 100

  5. 30

Open-ended Question

  1. A creative connection will vary; students should explain their chosen teams and the respective ratio significance.

  2. To find the total parts of the mixture: 3 + 1 = 4 parts. To find out how many cups of juice: (3/4) * 20 = 15 cups of juice; for water: (1/4) * 20 = 5 cups of water.

Notes

    Ensure to provide examples in class before distributing this worksheet.

Review the concepts of ratios and proportions with visuals to aid understanding.

Encourage collaborative discussions on open-ended questions to promote critical thinking.