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Cogito

Grade 6 Math · Chapter 2 · Lesson 1

Practice Worksheet

Unit Rates

How much for exactly one.

10 problems · about 17 minutes · 6.RP.A.2, 6.RP.A.3

NameDate

Figure — use these to answer the problems

Set the first quantity to 1 to read the unit rate straight off.
A ratio table for 1 to 4
PoundsPencils
14
28
312
PoundsPencils001428312
Pounds1
Pencils4
Scale it up by3
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Comparing Two Ratios”

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

    Answer

  2. From “Double Number Lines”

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

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. 84 miles in 2 hours. How many miles per hour?

    Answer

  2. Why write two deals as unit rates before comparing?

    • Both are then per one, so they can be compared.
    • The numbers get smaller.

  3. 20 pens for 5 pounds. How many pens per pound?

    Answer

  4. 150 km in 3 hours. How many km per hour?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 8 pencils per pound. How many for 6 pounds?

    Answer

  2. 90 pages in 6 days. How many pages per day?

    Answer

Stretch Yourself

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

2 problems

  1. The Car

    240 miles on 8 gallons. How many miles per gallon?

    Answermiles per gallon

  2. The Typing

    180 words in 4 minutes. How many words per minute?

    Answerwords per minute