Ratios, Rates and Proportions

Master ratios, rates, & proportions! Fun 6th-grade math worksheets.

Vocabulary: Use the word bank below to match the term with the definition Ratio: A comparison of two numbers by division.Rate: A ratio that compares two quantities with different kinds of unitsProportion: A set of two equivalent ratiosUnit Rate: A rate that is simplified so that the denominator is one unit Each ratio has a simplified matching fraction and ratio written in words. 12:22 6 6 to 11 80:50 8 to 5 8 25:60 5 5 to 12 42:90 7 7 to 15 36:16 9 9 to 4 100:30 10 to 3 10 Let's Make Ratios Use the picture below to match the word ratio to the number ratio (don't forget to simplify) Hearts to total number of shapes 3 to 16 Triangles to Arrows 1:1 Hearts and Stars to Triangles 2 Green to Purple 4:3 A paper boy delivers papers. He delivers 189 papers in 3 hours. What is the unit rate of his deliveries per hour? 63 94 33 Jennifer is buying cupcakes for a party. Twelve cupcakes is $8.40. What is the price for one cupcake? $8.40 $0.70 $0.62 Jack runs every day. He can run 5 miles in 125 minutes. How many miles can Jack run in one minutes? 11 miles 1 mile 0.1 mile 0.04 miles In New York a crowded subway has 177 passengers 3 cars. How many people are riding in each subway car? 75 59 63 Solve the Proportion 5 = _ 5 20 3 12 Solve the proportion x 4 48 y 7 84 Margaret has 5 apples and 15 oranges. Which statement is true? The number of oranges Margaret has is 5 times the number of apples. The number of oranges Margaret has is 3 times the number of apples. The number of oranges Margaret has is 1 times the number of apples. The number of oranges Margaret has is 10 times the number of apples. The ratio of blue marbles to red marbles is 9:4, which of the following is the possible number of blue and red marbles in the jar? 18 blue, 12 red 32 blue, 36 red 27 blue, 12 red 54 blue, 28 red