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Lesson 1: Understand Ratios — Practice Questions

  1. 1. What is the primary purpose of using a double number line to model a ratio?

    • A. To find the sum of two different quantities.
    • B. To show how two quantities change together at a constant rate.
    • C. To plot points on a coordinate grid.
    • D. To measure the length of a single object.
  2. 2. A recipe calls for 4 cups of sugar for every 2 batches of cookies. Following this ratio, you would need ___ cups of sugar to make 6 batches of cookies.

  3. 3. A hose fills a small pool with 90 gallons of water in 3 minutes. At this constant rate, how many gallons would be in the pool after 1 minute? The answer is ___ gallons.

  4. 4. A train travels 150 miles in 2 hours at a constant speed. Following this rate, how far will the train travel in 3 hours?

    • A. 200 miles
    • B. 225 miles
    • C. 250 miles
    • D. 300 miles
  5. 5. Maria can read 50 pages of a book in 40 minutes. If she continues reading at the same pace, she can read 100 pages in ___ minutes.

  6. 6. A bar graph shows the number of books read by students in three classes. The vertical axis starts at 20 instead of 0. What problem does this create?

    • A. The categories will overlap
    • B. The differences between bars will appear larger than they really are
    • C. The bars will have no gaps between them
    • D. The axis labels will be incorrect
  7. 7. Two stores sell the same item: Store X sells 105 units and Store Y sells 95 units. A bar graph starts its vertical axis at 90. How many units tall is Store X's bar on this graph?

    • A. 105
    • B. 95
    • C. 15
    • D. 10
  8. 8. A bar graph displays favorite sports: Soccer (25 students), Basketball (20 students), Tennis (10 students). The vertical axis correctly starts at 0. The bar for Soccer is ___ units taller than the bar for Tennis.

  9. 9. Which of the following is NOT a required feature of a valid bar graph?

    • A. A title
    • B. A vertical axis starting at 0
    • C. Gaps between the bars
    • D. Bars of equal height
  10. 10. In a bar graph with the vertical axis starting at 60, Candidate A has a bar 9 units tall and Candidate B has a bar 3 units tall. What are their actual vote counts?

    • A. A: 69 votes, B: 63 votes
    • B. A: 9 votes, B: 3 votes
    • C. A: 60 votes, B: 60 votes
    • D. A: 54 votes, B: 57 votes