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Cogito

Grade 6 Math · Chapter 2 · Lesson 6

Practice Worksheet

Converting Units with Rates

Changing the unit without changing the amount.

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

NameDate

Figure — use these to answer the problems

One kilometre for every thousand metres. Scale it to convert.
A ratio table for 1 to 9
KilometresMetres
19
218
327
436
KilometresMetres0019218327436
Kilometres1
Hundreds of metres9
Scale it up by5
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Finding the Whole from a Percent”

    25% of a number is 11. What is the number?

    Answer

  2. From “Comparing with Unit Rates”

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

    Answer

  3. From “Finding a Percent of a Number”

    What is 30% of 90?

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. 5 km in metres?

    Answer

  2. 4 km in metres?

    Answer

  3. 250 cm in metres? (100 cm in a metre.)

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 2 hours in minutes?

    Answer

  2. 180 minutes in hours?

    Answer

Stretch Yourself

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

2 problems

  1. The Bottle

    2 litres is how many millilitres? (1 litre is 1000 ml.)

    Answer

  2. The Bag

    3500 g is how many kilograms? (1 kg is 1000 g.)

    Answer