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Cogito

Grade 6 Math · Chapter 2 · Lesson 5

Practice Worksheet

Finding the Whole from a Percent

Working backwards to the total.

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

NameDate

Figure — use these to answer the problems

The known part sits against the rest. Together they make the whole.
The part and The rest
The whole
The known part15
The rest60
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Comparing with Unit Rates”

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

    Answer

  2. From “Finding a Percent of a Number”

    What is 30% of 90?

    Answer

  3. From “Percent as a Rate per Hundred”

    17 out of 20 as a percent?

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. 25% of a number is 11. What is the number?

    Answer

  2. 10% of a number is 7. What is the number?

    Answer

  3. 25% of a number is 9. What is the number?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 50% of a number is 30. What is the number?

    Answer

  2. 20% of a number is 12. What is the number?

    Answer

Stretch Yourself

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

2 problems

  1. The Discount

    10% of a price is £4. What is the full price, in pounds?

    Answer

  2. The Survey

    50% of the group is 21 people. How many in the group?

    Answer