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Cogito

Grade 6 Math · Chapter 3 · Lesson 6

Practice Worksheet

Pulling Out a Common Factor

The distributive property, read backwards.

10 problems · about 18 minutes · 6.NS.B.4

NameDate

Figure — use these to answer the problems

A common factor is a side length both rectangles can share.

9 + 9 + 9 + 9 = 36

4 × 9 = 36

The common factor4
What is left9
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Adding and Subtracting Decimals”

    6.4 + 2.75 = ?

    Answer

  2. From “Dividing Multi-Digit Numbers”

    468 ÷ 18 = ?

    Answer

  3. From “Common Factors and Common Multiples”

    Greatest common factor of 16 and 40?

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. Greatest common factor of 16 and 24?

    Answer

  2. Greatest common factor of 12 and 18?

    Answer

  3. 12 + 18 = 6 × (2 + ?). What is the missing number?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Greatest common factor of 15 and 25?

    Answer

  2. 15 + 25 = 5 × (3 + ?). What is the missing number?

    Answer

Stretch Yourself

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

2 problems

  1. The Common Factor

    What is the greatest common factor of 20 and 30?

    Answer

  2. Inside the Bracket

    20 + 30 = 10 × (2 + ?). What goes in place of the question mark?

    Answer