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Cogito

Grade 6 Math · Chapter 1 · Lesson 5

Practice Worksheet

Double Number Lines

Two rulers that move together.

10 problems · about 17 minutes · 6.RP.A.3

NameDate

Figure — use these to answer the problems

Set the ratio, then scale it. Read the pairs off the two lines.
A ratio table for 3 to 4
Cups of juiceCups of water
34
68
912
1216
Cups of juiceCups of water0034689121216
Cups of juice3
Cups of water4
Scale it up by4
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Tape Diagrams and Ratio Problems”

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

    Answer

  2. From “Why You Multiply and Not Add”

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

    Answer

  3. From “Equivalent Ratios”

    4 : 5. With 16 of the first, how many of the second?

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

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

    Answer

  2. Ratio 3 : 5. If the top shows 9, what does the bottom show?

    Answer

  3. Ratio 4 : 7. If the top shows 12, what does the bottom show?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Ratio 5 : 2. If the bottom shows 8, what does the top show?

    Answer

  2. On a double number line, do both lines take the same number of steps?

    • Yes. The columns line up.
    • No. They are independent.

Stretch Yourself

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

2 problems

  1. The Paint Mix

    Blue to white is 2 : 5. For 8 litres of blue, how much white?

    Answer

  2. The Same Mix

    Blue to white is 2 : 5. For 15 litres of white, how much blue?

    Answer