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Cogito

Grade 6 Math · Chapter 2 · Lesson 4

Practice Worksheet

Comparing with Unit Rates

Which one is the better buy?

10 problems · about 18 minutes · 6.RP.A.2, 6.RP.A.3

NameDate

Figure — use these to answer the problems

Change the pack size and the price. Watch the rate for one.
A ratio table for 6 to 3
PensPounds
63
126
PensPounds0063126
Pens in the pack6
Price in pounds3
Scale it up by2
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Finding a Percent of a Number”

    What is 30% of 90?

    Answer

  2. From “Percent as a Rate per Hundred”

    17 out of 20 as a percent?

    Answer

  3. From “Unit Rates”

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

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. 6 cakes for £9. Price for one, in pounds?

    Answer

  2. 3 kg for £9. Price per kg, in pounds?

    Answer

  3. 4 kg for £10. Price per kg, in pounds?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Of those two, which is the better buy?

    • The 4 kg bag.
    • The 3 kg bag.

  2. 200 g for £4. Price per 100 g, in pounds?

    Answer

Stretch Yourself

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

2 problems

  1. The Juice Aisle

    5 bottles cost £10. What is the price of one bottle, in pounds?

    Answer

  2. The Other Shelf

    8 bottles cost £12. What is the price of one bottle, in pounds?

    Answer