This 45-minute test covers ratio language, equivalent ratios, ratio tables, and ratio word problems from standards 6.RP.A.1 and 6.RP.A.3a. It has 8 questions worth 20 points in all. Show all work, and write each answer with its units where they apply.
- Grade: Grade 6
- Chapter: Ratios and Ratio Language
- Common Core: 6.RP.A.1, 6.RP.A.3a
- Time: 45 minutes
- Total: 20 points (Question 1: 2 pts; Question 2: 2 pts; Question 3: 2 pts; Question 4: 3 pts; Question 5: 3 pts; Question 6: 3 pts; Question 7: 3 pts; Question 8: 2 pts)
Question 1: Walkers and riders (2 points)
In a class of 28 students, 16 walk to school and 12 ride the bus.
- Write the ratio of students who walk to students who ride the bus in simplest form. (1 point)
- Write the ratio of bus riders to all students in simplest form. (1 point)
Question 2: Equivalent ratios (2 points)
- Are the ratios \(8:12\) and \(6:9\) equivalent? Explain. (1 point)
- Find the value of \(y\) so that \(5:7 = y:35\). (1 point)
Question 3: Rice and water (2 points)
A recipe uses 3 cups of rice for every 5 cups of water. Complete the ratio table.
| Rice (cups) | 3 | 6 | ? | 12 | ? |
|---|---|---|---|---|---|
| Water (cups) | 5 | 10 | 15 | ? | 30 |
Question 4: Playlist songs (3 points)
Aisha’s playlist has pop songs and rock songs in the ratio \(5:2\). The playlist has 35 pop songs.
- How many rock songs are on the playlist? (2 points)
- How many songs are on the playlist in all? (1 point)
Question 5: Lemonade strength (3 points)
Liam’s lemonade uses 2 cups of lemon juice and 7 cups of water. Mei’s lemonade uses 3 cups of lemon juice and 10 cups of water. Whose lemonade has a stronger lemon taste? Show your work.
Question 6: Reading pace (3 points)
Noah reads 15 pages in 20 minutes and keeps the same pace.
- Write the ratio of pages to minutes in simplest form. (1 point)
- How many pages does he read in 36 minutes? (1 point)
- How many minutes does he need to read 45 pages? (1 point)
Question 7: Class makeup (3 points)
A class of 30 students has girls and boys in the ratio \(7:8\).
- How many girls and how many boys are in the class? (2 points)
- Four more girls join the class. Write the new ratio of girls to boys in simplest form. (1 point)
Question 8: Marble bag (2 points)
A bag holds 8 red marbles, 5 green marbles, and 7 yellow marbles.
- Write the ratio of red marbles to all marbles in simplest form. (1 point)
- Write the ratio of green marbles to yellow marbles. (1 point)
See every chapter on the Grade 6 math page.