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Cogito

Grade 7 Math · Chapter 2 · Lesson 4

Practice Worksheet

Unit Rates with Fractions

Rates when neither quantity is whole.

10 problems · about 19 minutes · 7.RP.A.1

NameDate

Figure — use these to answer the problems

Multiply a quantity by a fraction and compare it with the original.
Before: 6
After: 24
4 × 6 = 24
The quantity6
Multiply by4
Divided by1
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “The Graph of a Proportional Relationship”

    Proportional graph through (4, 24). What is k?

    Answer

  2. From “Telling Proportional from Not”

    y = 3x + 7. What is y when x = 6?

    Answer

  3. From “The Constant of Proportionality”

    5 pairs with 35. What is k?

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. ⅖ mile in ⅕ hour. Miles per hour?

    Answer

  2. ¼ mile in ⅛ hour. Miles per hour?

    Answer

  3. ½ litre in ¼ minute. Litres per minute?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 3 miles in ½ hour. Miles per hour?

    Answer

  2. ¾ kg for ¼ of a box. Kilograms for a whole box?

    Answer

Stretch Yourself

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

2 problems

  1. The Walk

    ½ mile in ¼ hour. How many miles per hour?

    Answer

  2. The Recipe

    ⅔ cup for ⅓ of a batch. How many cups for a whole batch?

    Answer