Proportion Applications Worksheets Grade 7

Ratios

Real-World Problems

Each printable worksheet below is a full page of practice problems and comes with an answer key that explains how to solve every problem, step by step. Open a worksheet and use the Print / Save as PDF button to download it.

Worksheet 1

8 problems
  1. A recipe requires 4 cups of flour for every 3 cups of sugar. If you use 18 cups of flour, how many cups of sugar are needed?
  2. Mason is drawing a scale model of a city park on a coordinate grid. The actual park is 240 meters wide and 180 meters long. On his grid, the park is drawn as a rectangle with a width of 16 units and a length of 12 units. He then draws a straight diagonal path from one corner of the rectangle to the opposite corner. If the scale of his drawing is consistent, what is the actual length of the diagonal path in meters? Round your answer to the nearest whole number.
  3. Mere is making a traditional woven flax basket. The pattern requires 4 meters of flax for every 6 baskets. If Mere has 18 meters of flax, how many baskets can she make?

…and 5 more problems

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Worksheet 2

8 problems
  1. Tane is a farmer who wants to fertilize his field. He knows that 12 bags of fertilizer can cover 450 square meters of land. If his field is 1,350 square meters, how many bags of fertilizer will he need to buy to cover the entire field?
  2. Emma is creating a scale drawing of a rectangular playground on a coordinate grid. The playground's actual dimensions are 35 meters by 21 meters. On her drawing, the length is represented by the segment from (0, 0) to (25, 0). Using the same scale, what should be the length of the segment representing the width from (0, 0) to (0, y)?
  3. A car travels 240 km on 15 liters of fuel. How many liters are needed for a 400 km trip?

…and 5 more problems

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Worksheet 3

8 problems
  1. Isabella is a beekeeper who manages several beehives. From her 17 beehives, she harvested a total of 357 kilograms of honey last season. She wants to expand her apiary and estimates that if she adds 7 more beehives with the same average yield, how many total kilograms of honey can she expect to harvest from all 24 beehives next season?
  2. Liam is designing a scale model of a new building. The actual building will be 180 meters tall, and his model uses a scale where 3 centimeters represents 15 meters. How many centimeters tall should Liam make his model?
  3. Emma is planning a community garden and needs to create a soil mixture using compost, topsoil, and sand in a ratio of 2:5:3. If she wants to make 2500 kilograms of soil mixture for the garden beds, how many kilograms of topsoil should she use?

…and 5 more problems

Open & Print Worksheet 3

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