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Cogito

Grade 6 Math · Chapter 1 · Lesson 4

Practice Worksheet

Tape Diagrams and Ratio Problems

Drawing the parts before you count them.

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

NameDate

Figure — use these to answer the problems

Two bars in the given ratio. Their total is shown below.
First share
Second share
First share12
Second share18
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

1 problem

  1. 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.

4 problems

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

    Answer

  2. To share a total in a ratio, what do you find first?

    • What one part is worth.
    • Half of the total.

  3. Share 24 in the ratio 1 : 2. What is the smaller share?

    Answer

  4. Share 35 in the ratio 2 : 5. What is the larger share?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Share 50 in the ratio 3 : 7. What is one part worth?

    Answer

  2. Share 36 in the ratio 4 : 5. What is the smaller share?

    Answer

Stretch Yourself

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

3 problems

  1. The Sweets

    Share 30 in the ratio 2 : 3. What is the smaller share?

    Answer

  2. The Money

    Share 60 pounds in the ratio 1 : 5. What is the larger share?

    Answerpounds

  3. The Difference

    Share 45 in the ratio 4 : 5. How much bigger is the larger share?

    Answer