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This resource presents practical problems focused on understanding rates and proportions. Designed for middle school students, the set includes real-world scenarios to help learners grasp the importance of ratios and proportional reasoning. With problems that involve calculating relationships between different quantities, students will gain confidence in their math skills. Each problem encourages critical thinking and allows students to apply their knowledge effectively. Examples include solving ratios in a classroom setup, calculating flags for a celebration, and determining quantities for animals, making learning engaging and applicable.
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Rates & Proportions Remember it’s not about how fast you finish. It’s about CAN you finish and understand what you did!
Problem 1 • The ratio of girls to boys in the Jackson Middle School sixth grade class is 4 to 5. If there were 100 boys, how many girls are in the class?
Problem 2 • Mr. Jones and his legal department were responsible for mounting flags on the iron fence around the courthouse for the Fourth of July celebration. He and his department mounted 32 flags in 80 minutes. If they continue hanging flags at this rate, how many flags will they hang in 4 hours?
Problem 3 • Every day a zookeeper feeds 4 elephants a total of 360 lb. of food. At this rate, how many pounds of food would the zookeeper need every day to feed 32 elephants?
Problem 4 • At the last KMS pep rally 5 out of every 8 students wore school colors. Based on this information, if 720 students attend the next pep rally, how many will wear school colors?
Problem 5 • In a first aid kid the ratio of large band aids to small band aids is 4:3. Based on this ratio, how many large band aids would there be if there are 75 small band aids?
Problem 6 • At a school on Friday, 3 out of every 4 students were wearing jeans. There were 600 students at school on Friday. How many of the students were wearing jeans? A. 599, because 600 – (4 – 3) = 599 B. 450, because = C. 50, because 600 (4 × 3) = 50 D. 800, because =
Problem 7 • Iris went to an arcade to play video games. She paid $2 for every 11 tokens he bought. She spend a total of $16 on tokens. Which equation can be used to determine t, the number of tokens Iris bought? • = • = • = • =
Problem 8 • A worker at a clothing company uses 200 buttons to make 50 shirts. At this rate, how many buttons would the worker use to make 350 shirts?
Problem 9 • A Ford factory make 400 cars per day. If the workday is eight hours long, what is the hourly rate at which cars are produce?
Problem 10 • Sammie read a total of 24 books in a 8 week period. How many books did Sammie read per week?