These 10 problems practice ratio language and equivalent ratios from standards 6.RP.A.1 and 6.RP.A.3a. The early problems ask for ratios written in three forms, part-to-whole comparisons, and simplest form.
Later problems use ratio tables and compare mixtures, then move to multi-step word problems about a school store, paint, and a farmers market. Show every step.
Problem 1: Writing a ratio
A bowl holds 4 apples and 7 oranges. Write the ratio of apples to oranges in three ways.
Problem 2: Part-to-whole ratio
A soccer team has 9 girls and 6 boys. Write the ratio of girls to all players on the team.
Problem 3: Equivalent ratios
Write three ratios equivalent to \(2:5\).
Problem 4: Missing value
Find the missing number: \(3:4 = 12:\ ?\)
Problem 5: Simplest form
Write \(18:24\) in simplest form.
Problem 6: Ratio table
A school store sells 5 pencils for every 2 erasers. Complete the ratio table.
| Pencils | 5 | 10 | 15 | ? | 25 |
|---|---|---|---|---|---|
| Erasers | 2 | 4 | ? | 8 | ? |
Problem 7: Comparing ratios
Mix A uses 3 cups of concentrate and 5 cups of water. Mix B uses 2 cups of concentrate and 3 cups of water. Compare the two mixes by finding how much concentrate each uses with 15 cups of water. Which mix is stronger?
Problem 8: School store word problem
At the school store, pencils and notebooks are sold in the ratio \(7:3\). The store sold 63 pencils. How many notebooks did it sell, and how many items is that in all?
Problem 9: Mixing paint
Diego mixes blue paint and yellow paint in the ratio \(3:5\) to make green. He needs 40 cups of green paint in all. How many cups of each color does he use?
Problem 10: Farmers market
Priya sells apples and pears in the ratio \(5:3\). She starts with 96 pieces of fruit. (a) How many apples and how many pears does she have? (b) After she sells 12 apples, write the new ratio of apples to pears in simplest form.
See every chapter on the Grade 6 math page.