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Cogito

Grade 6 Math · Chapter 1 · Lesson 6

Practice Worksheet

Comparing Two Ratios

Which mix is stronger?

10 problems · about 18 minutes · 6.RP.A.3

NameDate

Figure — use these to answer the problems

Scale a ratio until its first number matches the one you are comparing against.
A ratio table for 3 to 4
SyrupWater
34
68
912
1216
SyrupWater0034689121216
Spoons of syrup3
Cups of water4
Scale it up by5
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Double Number Lines”

    Ratio 2 : 9. If the top shows 6, what does the bottom show?

    Answer

  2. From “Tape Diagrams and Ratio Problems”

    Share 48 in the ratio 1 : 3. What is the larger share?

    Answer

  3. From “Why You Multiply and Not Add”

    6 : 9 scaled so the first is 12. What is the second?

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. Scale 4 : 7 so the first number is 12. What is the second?

    Answer

  2. Scale 3 : 5 so the first number is 12. What is the second?

    Answer

  3. Scale 5 : 2 so the first number is 20. What is the second?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Is 6 : 8 equivalent to 9 : 12?

    • Yes.
    • No.

  2. Is 2 : 5 equivalent to 3 : 7?

    • No.
    • Yes.

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

2 problems

  1. Two Recipes

    Scale 2 : 3 so the first number is 6. What is the second number?

    Answer

  2. The Comparison

    Is 4 : 6 equivalent to 6 : 9?

    • Yes. Both are 2 : 3 scaled.
    • No.