Worked example 1
Use a ratio table to find the value that completes 4:7 = ?:42.
Look at the second number: 7 × 6 = 42, so multiply both by 6. The first number becomes 4 × 6 = 24. So 4:7 = 24:42.
Answer: 24
Grade 6 Math · Topic 04
Ratio Tables
A ratio table lists equivalent ratios in rows or columns. It is a powerful tool because you can scale up by multiplying, scale down by dividing, or jump to a new value by adding two columns together. Ratio tables turn ratio problems into easy-to-read patterns.
Lesson alignment: 6.RP.A.3 · Take your time. You can return to this lesson whenever you need it.
Explore visually
Build a ratio table
Change a starting ratio and see how the same multiplier scales both quantities.
Think first: What do you expect to stay the same as both rows are multiplied by the same factor?
Ready? Reveal the model and try your prediction
Swipe horizontally to see the full diagram.
Turn on JavaScript to adjust this model. The examples and practice below work without it.
Follow the worked examples
Read each step, then cover the explanation and see if you can explain why it works.
Worked example 2
A juice mix uses 2 cups of lemon juice for every 9 cups of water. Build a ratio table and find how many cups of water go with 10 cups of lemon juice.
Multiply by 5: lemon goes 2 → 10, so water goes 9 → 45. Table columns: (2,9),(4,18),(6,27),(8,36),(10,45).
Answer: 45 cups of water
Try a few on your own
Work these on paper first. Open “Check” when you are ready to compare your answer.
- 3:8 = 12:________
Check
32
- 5:6 = ________:24
Check
20
- 7:10 = 21:________
Check
30
- 4:9 = ________:45
Check
20
- 11:2 = 33:________
Check
6
- 6:13 = ________:39
Check
18
- 9:5 = 36:________
Check
20
- 8:3 = ________:21
Check
56
Try this situation 1
A bakery sells 3 muffins for $5. Make a ratio table showing the cost of 6, 9, and 12 muffins.
Show a worked solution
Answer: 6 muffins =$10; 9 = $15; 12 = $20.
Each column multiplies both numbers by the same factor: × 2 → (6,$10), × 3 → (9,$15), × 4 → (12,$20).
Try this situation 2
A car travels 60 miles in 1 hour. How long does it take to travel 300 miles at the same rate? (Use a ratio table.)
Show a worked solution
Answer: 5 hours.
Hours 1,2,3,4,5 pair with miles 60,120,180,240,300. The row with 300 miles is at 5 hours.
Fresh questions · saved on this device
Practice this skill
Try a fresh set each time. Answer one question, check your thinking, and read the explanation. If you miss one, return to the visual model and try another round.
Question 1 of 50 correct so far
Session complete
Check what you learned
Answer these five questions on your own. You can review the explanations after you submit and try again whenever you like. This short check is for practice, not a grade.
Practice and finish
Try the linked topic quiz for more practice. If something is tricky, return to the example and look for the step that changes the numbers or representation.
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More Grade 6 resources
Use these free materials if you want another explanation, extra paper practice, or a broader review.