Grade 10 Proportional Reasoning Worksheet

This worksheet covers key concepts in proportional reasoning, including ratios, rates, proportions, and scale drawings, suitable for Grade 10 math students.

Grade 10 Math Percents, Ratios, and RatesProportional Reasoning

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Fill in the BlanksMultiple ChoiceShort AnswerCustom

Standards

CCSS.MATH.CONTENT.7.RP.A.2CCSS.MATH.CONTENT.7.RP.A.3CCSS.MATH.CONTENT.HSG.SRT.A.2

Topics

proportional reasoningratiosratesproportionsscale drawingsgrade 10

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Proportional Reasoning

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. A ratio compares two quantities by .

2. A rate is a ratio that compares two quantities with different .

3. If a car travels 240 miles in 4 hours, its average speed is miles per hour.

4. Which of the following is a proportion?

2/3 = 4/5

1:2 = 3:6

5/10 > 1/2

7 + 3 = 10

5. Solve for x: x/8 = 15/20

x = 4

x = 6

x = 10

x = 12

6. A recipe calls for 2 cups of flour for every 3 cups of sugar. If you use 8 cups of flour, how much sugar do you need?

7. If 5 apples cost $3.00, how much would 12 apples cost?

8. The scale of a map is 1 cm : 5 km. If two cities are 7 cm apart on the map, what is the actual distance between them?

9. A model car is built with a scale of 1:24. If the actual car is 4.8 meters long, how long is the model car in centimeters?