# Worksheet: Multiplying Two-Digit Numbers by One-Digit Numbers: Area Models

In this worksheet, we will practice using area models to multiply two-digit numbers by one-digit numbers.

Q1:

Amelia drew this to help her calculate . What expression is missing in the following:

• A
• B
• C
• D

What is ?

Q2:

Mason is learning to multiply by breaking apart factors and then adding.

For , he draws a 6-by-12 rectangle and splits it into two parts. What is the missing expression in ?

• A
• B
• C
• D

What is ?

Q3:

Anthony and Olivia want to use area to find .

Olivia splits this rectangle in half, but she can’t finish because she doesn’t know . Anthony says it is easier to use the 10 times table. How would he split the rectangle?

• A • B Pick the next step in Anthony’s calculation.

• A
• B
• C
• D

Add the areas of the two parts to figure out .

Q4:

Elizabeth used to find . Liam used to find . Whose method is correct?

• AThey are both wrong.
• BThey are both correct.
• COnly Elizabeth’s method is correct.
• DOnly Liam’s method is correct.

What is ?

Q5:

Jacob has drawn this to help him multiply 3 and 18. Pick the equation that describes his model.

• A
• B
• C
• D

Use the model to write the subtraction expression that is missing: .

• A
• B
• C
• D

What is ?

Q6:

Sophia has drawn this array to help her calculate by splitting 12 into . There are squares in the blue part. Write an expression for the number of squares in the pink part.

• A
• B
• C
• D

Which of these is equal to ?

• A
• B
• C
• D

Which expression correctly shows the total number of squares in the array?

• A
• B
• C
• D

Q7:

This area model can be used to solve .

Find the missing partial product. Q8:

Find the area of the rectangle using the distributive property. Q9:

William drew this array to help him calculate by splitting 15 into . How many squares are in the orange part?

• A60
• B15
• C40
• D20

How many squares are in the green part?

• A15
• B20
• C40
• D60

Add these numbers to find .

• A40
• B60
• C20
• D80

Q10:

A teacher has 34 children in her class. They each need 7 pieces of homework a week. By using the diagram, find how many pieces she will have to set altogether. Q11:

Liam drew this to help him multiply 6 by 18. Pick the equation that shows how he split 18.

• A
• B
• C
• D

Which expression should he write for the number of orange squares?

• A
• B
• C
• D

Which two numbers can he add to find ?

• A
• B
• C
• D

Q12:

Charlotte drew this to help her multiply 4 and 23. Pick the equation that shows how she split 23.

• A
• B
• C
• D

She can add the areas of the two parts to find .

Write the sum she should do.

• A76 + 8
• B80 + 8
• C80 + 13
• D80 + 12

What is ?