Ratios and Proportions Worksheets – Grade 6 (Hard)

1. In a bag of colored marbles, the ratio of red marbles to blue marbles is 3:7. If there are 42 blue marbles in the bag, how many red marbles are there?

2. A recipe calls for flour and sugar in the ratio of 5:2. If the recipe uses 15 cups of flour, how many cups of sugar are needed?

3. The ratio of boys to girls in a classroom is 4:5. If there are 36 students total in the classroom, how many boys and how many girls are there?

4. A car travels 240 miles using 8 gallons of gasoline. At this rate, how many gallons of gasoline are needed to travel 390 miles?

5. In a mixture of concrete, the ratio of cement to sand to gravel is 2:4:3. If 18 tons of gravel are used, what is the total weight of the concrete mixture?

6. The ratio of cats to dogs at an animal shelter is 7:9. If there are 63 dogs at the shelter, what is the total number of cats and dogs combined?

7. A map scale shows that 3 inches represents 18 miles. If two cities are 7 inches apart on the map, how many miles apart are they in reality?

8. In a survey, the ratio of people who prefer vanilla ice cream to chocolate ice cream is 5:8. If 120 people prefer chocolate ice cream, how many people were surveyed in total?