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Partial Products Grade 3 - Printable Math Worksheets year 3 - Wayground

Partial Products Grade 3

Lisa Yaudas

Created by Lisa Yaudas

10 questions

3rd Grade

Math

Updated May 2025

Partial Products Grade 3 is a free printable mathematics worksheet for Grade 3 students who are learning to multiply two-digit numbers by one-digit numbers. Its 10 multiple-choice questions ask students to solve products such as 87 × 4, 78 × 6, and 56 × 8 using partial products or the box method, while also checking their understanding of place value and multiplication as repeated addition. The worksheet helps students connect the tens and ones in a two-digit number to separate multiplication steps, then combine the resulting partial products to find the total product. It also includes conceptual questions about how place value determines digit value and how both digits must be multiplied by the one-digit factor. Use it for guided practice, independent review, or a quick assessment of two-digit partial-products multiplication. A complete answer key is included for efficient checking.

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Partial Products Grade 3

Total questions: 10

Name
Class
Date
1.
Solve the following problem using partial products: 87 x 4
a)
348
b)
328
c)
448
d)
300
2.
Solve the following using partial products: 78 x 6
a)
668
b)
468
c)
476
d)
500
3.
Solve the following using the box method: 45 x 9
a)
36
b)
456
c)
78
d)
405
4.
When multiplying a 2-digit number by a 1-digit number, you should multiply
a)
multiply one digit and add the other digit
b)
multiply both digits by the single digit as they are written
c)
multiply only the value of the tens place digit
d)
multiply the value of both digits in the 2-digit number by the one-digit number then add both sums
5.

Multiplying is the same computation as

a)

repeated subtraction

b)

repeated addition

c)

diving each number by the number in front of it

d)

exponents

6.

32 x 5=

a)

(30) + (2) + (5)=

b)

(30 + 5) + (2 + 5)=

c)

(30 x 5) + (2 x 5)=

7.
65 x 3 = 
a)
174
b)
200
c)
195
d)
185
8.
The value of the digits is determined by the
a)
number beside them
b)
how many times they appear
c)
their place in the place value chart
d)
their shape
9.

Using the box Method Find the product: 56X8=

a)

112

b)

448

c)

224

d)

365

10.

99x9=

a)

891

b)

881

c)

791

d)

691

WaygroundAnswer Key

Partial Products Grade 3

Total questions: 10

1.
a) 348
2.
b) 468
3.
d) 405
4.
d) multiply the value of both digits in the 2-digit number by the one-digit number then add both sums
5.
b)

repeated addition

6.
c)

(30 x 5) + (2 x 5)=

7.
c) 195
8.
c) their place in the place value chart
9.
b)

448

10.
a)

891

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FAQs

What does the Partial Products Grade 3 worksheet cover?

This worksheet covers multiplying two-digit numbers by one-digit numbers using partial products and the box method. Its 10 multiple-choice questions require students to calculate products, select the correct expanded multiplication expression, and explain the roles of place value and repeated addition.

How can I use this worksheet to teach partial-products multiplication?

Model one problem by decomposing a number such as 32 into 30 and 2, multiplying each part by 5, and adding the partial products. Then have students explain why the expression (30 × 5) + (2 × 5) represents the original product before completing the remaining multiple-choice problems independently or with a partner.

What mistakes should I watch for when students complete this worksheet?

Watch for students multiplying only the tens digit, adding digits instead of multiplying each place-value part, or selecting an expression that includes the factors but does not represent partial products. Students may also confuse a digit with its place value, so ask them to identify the tens and ones values before solving items such as 78 × 6 or 56 × 8.

How do I assign and grade this worksheet?

This worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key. Printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format also supports schools that want to reduce screen time.

How can I differentiate this partial-products worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so the multiplication expressions and answer choices are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping its partial-products and box-method format.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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