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Cogito

Grade 6 Math · Chapter 1 · Lesson 2

Practice Worksheet

Equivalent Ratios

Scaling up keeps the comparison the same.

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

NameDate

Figure — use these to answer the problems

Scale the ratio up and watch every row stay the same comparison.
A ratio table for 3 to 2
FlourMilk
32
64
96
FlourMilk00326496
Cups of flour3
Cups of milk2
Scale it up by3
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “What a Ratio Says”

    6 pens and 9 pencils. Pens to total: what is the second number?

    Answer

  2. From “What a Ratio Says”

    What does a ratio do?

    • Compares two amounts.
    • Adds two amounts together.

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. 4 : 5. With 16 of the first, how many of the second?

    Answer

  2. To keep a ratio the same, what must you do?

    • Multiply both quantities by the same number.
    • Multiply one of them.

  3. 5 : 2 scaled by 3. What is the second number?

    Answer

  4. 3 : 7. With 9 of the first, how many of the second?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 6 : 8. Scaled down, what is the simplest first number?

    Answer

  2. Is 4 : 6 the same comparison as 6 : 9?

    • Yes. Both are 2 : 3.
    • No.

Stretch Yourself

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

2 problems

  1. The Paint

    2 : 3 blue to yellow. With 8 blue, how much yellow?

    Answeryellow

  2. The Class

    3 : 4 teachers to helpers. With 12 teachers, how many helpers?

    Answerhelpers