Skip to content
LessonPrint

Area Models and Square Numbers is a free printable Grade 4 math worksheet on four partial products from an area model, with squares to 15 × 15, aligned to Common Core standard 4.NBT.B.5. It prints 10 questions with an answer key on its own sheet of paper, in 25 versions that each ask different questions, so no two students in the class work from the same page. Print it from the browser or download it as a PDF — no account, no email.

Set 1 of 25 · the same problems every time you open this link.

Next set

One paper per student

12345678910111213141516171819202122232425

All 25 sets ask different questions.

Area Models and Square Numbers

4.NBT.B.5

NameDate

Fill in each part, then the total.

1.28 × 13 = 20 × 10 + 20 × 3 + 8 × 10 + 8 × 3 = ___
2.13 × 13 = 10 × 10 + 10 × 3 + 3 × 10 + 3 × 3 = ___
3.36 × 11 = 30 × 10 + 30 × 1 + 6 × 10 + 6 × 1 = ___
4.15 × 15 = 10 × 10 + 10 × 5 + 5 × 10 + 5 × 5 = ___
5.11 × 11 = 10 × 10 + 10 × 1 + 1 × 10 + 1 × 1 = ___
6.33 × 17 = 30 × 10 + 30 × 7 + 3 × 10 + 3 × 7 = ___
7.38 × 11 = 30 × 10 + 30 × 1 + 8 × 10 + 8 × 1 = ___
8.35 × 24 = 30 × 20 + 30 × 4 + 5 × 20 + 5 × 4 = ___
9.28 × 26 = 20 × 20 + 20 × 6 + 8 × 20 + 8 × 6 = ___
10.38 × 27 = 30 × 20 + 30 × 7 + 8 × 20 + 8 × 7 = ___

LessonPrint · 4.NBT.B.5 · Set 1 · free to copy for classroom use

Answer key — Area Models and Square Numbers

Set 1. Prints on its own sheet.

  1. 1.200 + 60 + 80 + 24 = 364
  2. 2.100 + 30 + 30 + 9 = 169
  3. 3.300 + 30 + 60 + 6 = 396
  4. 4.100 + 50 + 50 + 25 = 225
  5. 5.100 + 10 + 10 + 1 = 121
  6. 6.300 + 210 + 30 + 21 = 561
  7. 7.300 + 30 + 80 + 8 = 418
  8. 8.600 + 120 + 100 + 20 = 840
  9. 9.400 + 120 + 160 + 48 = 728
  10. 10.600 + 210 + 160 + 56 = 1026

Questions about Area Models and Square Numbers

What does the Area Models and Square Numbers worksheet cover?

It practices four partial products from an area model, with squares to 15 × 15 — 10 questions for Grade 4, all on Common Core 4.NBT.B.5: Multiply larger numbers. The instruction to students is “Fill in each part, then the total”, and the answer key follows on the next sheet.

Which Common Core standard does Area Models and Square Numbers practice?

CCSS.MATH.CONTENT.4.NBT.B.5 — 4.NBT.B.5, under Number & Operations in Base Ten for Grade 4. The published standard reads: “Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations.” The worksheet assesses that standard rather than a paraphrase of it.

What age or grade is this worksheet for?

Area Models and Square Numbers is written for Grade 4, typically ages 9-10. It is one of the sheets on 4.NBT.B.5, so it suits any student working at that standard — including older students revisiting it and younger ones working ahead.

Does Area Models and Square Numbers come with an answer key?

Yes. All 10 answers are generated from the same problems as the questions, so the key cannot drift out of step with the sheet. It starts on a fresh sheet of paper, after the questions, so it is not handed out with the class by accident.

How many different versions of Area Models and Square Numbers can I print?

25 — one per student, and all 25 ask different questions. Set 1 downloads the whole class as a single PDF. Every version is fixed to its own address, so a sheet printed today holds the same problems when you reopen it next week.

Is Area Models and Square Numbers free to print and photocopy?

Yes. Area Models and Square Numbers, its answer key and its 25 versions are free to print and photocopy for your own class, with no account, no email capture and no subscription at the download step. Please do not resell them or republish them as your own.

More practice for 4.NBT.B.5

Multiply larger numbers.

All Grade 4 worksheets

Last reviewed 2026-09-05. Aligned to 4.NBT.B.5 of the Common Core State Standards for Mathematics.