Day 045Unit 3 Test

Show what you know

Questions 1–4 review Unit 2 (20%). The remaining 16 questions assess the current unit. Show your work, simplify exact answers, label units, and explain when asked.

Unit Test

Begin with the review questions, then continue through the current-unit questions.

1. Previous unit review

   Draw a bar partitioned into 10 equal parts. Shade 9 parts. Circle groups of 9 parts. Use the model to find 9/10 ÷ 9/10.
2. Previous unit review

   Calculate 1/2 ÷ 1/2. Simplify.
3. Previous unit review

   A ribbon is 3/4 m long. Each piece is 1/4 m. How many piece-lengths are in the ribbon? Include any fractional piece.
4. Previous unit review

   Calculate 2 ÷ 1/8. Simplify.
5. Current unit

   A tray has 4 red tiles and 5 blue tiles. Write the red-to-blue ratio in simplest form.
6. Current unit

   A collection has 18 green and 6 yellow counters. Write the fraction that is green.
7. Current unit

   The ratio of oak trees to pine trees is 5:4. There are 45 trees altogether. Draw a tape diagram and find each count.
8. Current unit

   A mix uses 5 cups of oats for 6 cups of seeds. Complete the table (oats, seeds): (5, 6), (10, ___), (10, ___).
9. Current unit

   A mix uses 2 cups of oats for 5 cups of seeds. Complete the table (oats, seeds): (2, 5), (4, ___), (10, ___).
10. Current unit

    Draw aligned number lines for 3 liters of paint covering 2 square meters. Mark 0, one batch, and 3 batches. How much area do 9 liters cover?
11. Current unit

    Mix A has 6 cups juice for 5 cups water. Mix B has 34 cups juice for 25 cups water. Which is stronger in juice? Show equivalent ratios.
12. Current unit

    For every 5 tickets sold, a club earns $4. Make a table for 0, 1, 2, and 6 batches. Plot (tickets, dollars), label axes, and interpret (30, 24).
13. Current unit

    The ratio of oak trees to pine trees is 6:3. There are 18 trees altogether. Draw a tape diagram and find each count.
14. Current unit

    Convert 3/2 yards to feet. Show the conversion ratio and explain why the numerical value grows.
15. Current unit

    Convert 3/2 meters to centimeters. Show the conversion ratio and explain why the numerical value grows.
16. Current unit

    Convert 60 minutes to hours. Show the conversion ratio.
17. Current unit

    A tray has 14 red tiles and 8 blue tiles. Write the red-to-blue ratio in simplest form and complete: there are ___ times as many red as blue.
18. Current unit

    A collection has 12 green and 24 yellow counters. Write the fraction that is green and the green-to-yellow ratio in simplest form. Explain the different denominators.
19. Current unit

    The ratio of oak trees to pine trees is 6:2. There are 24 trees altogether. Draw a tape diagram and find each count and the difference between the counts.
20. Current unit

    A mix uses 2 cups of oats for 4 cups of seeds. Complete the table (oats, seeds): (2, 4), (4, ___), (12, ___) and explain how you know the last two rows are equivalent.