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

One paper per student

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

Set 1 has all 25 in a single PDF. All 25 sets ask different questions.

Area Models and Square Numbers

4.NBT.B.5

NameDate

Fill in each part, then the total.

1.14 × 19 = 10 × 10 + 10 × 9 + 4 × 10 + 4 × 9 = ___

2.33 × 12 = 30 × 10 + 30 × 2 + 3 × 10 + 3 × 2 = ___

3.12 × 12 = 10 × 10 + 10 × 2 + 2 × 10 + 2 × 2 = ___

4.14 × 14 = 10 × 10 + 10 × 4 + 4 × 10 + 4 × 4 = ___

5.14 × 17 = 10 × 10 + 10 × 7 + 4 × 10 + 4 × 7 = ___

6.13 × 13 = 10 × 10 + 10 × 3 + 3 × 10 + 3 × 3 = ___

7.11 × 11 = 10 × 10 + 10 × 1 + 1 × 10 + 1 × 1 = ___

8.29 × 18 = 20 × 10 + 20 × 8 + 9 × 10 + 9 × 8 = ___

9.18 × 26 = 10 × 20 + 10 × 6 + 8 × 20 + 8 × 6 = ___

10.15 × 15 = 10 × 10 + 10 × 5 + 5 × 10 + 5 × 5 = ___

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

Answer key — Area Models and Square Numbers

Set 5. Prints on its own sheet.

1.100 + 90 + 40 + 36 = 266
2.300 + 60 + 30 + 6 = 396
3.100 + 20 + 20 + 4 = 144
4.100 + 40 + 40 + 16 = 196
5.100 + 70 + 40 + 28 = 238
6.100 + 30 + 30 + 9 = 169
7.100 + 10 + 10 + 1 = 121
8.200 + 160 + 90 + 72 = 522
9.200 + 60 + 160 + 48 = 468
10.100 + 50 + 50 + 25 = 225

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