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

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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.

1.15 × 15 = 10 × 10 + 10 × 5 + 5 × 10 + 5 × 5 = ___
2.13 × 13 = 10 × 10 + 10 × 3 + 3 × 10 + 3 × 3 = ___
3.12 × 12 = 10 × 10 + 10 × 2 + 2 × 10 + 2 × 2 = ___
4.14 × 14 = 10 × 10 + 10 × 4 + 4 × 10 + 4 × 4 = ___
5.23 × 22 = 20 × 20 + 20 × 2 + 3 × 20 + 3 × 2 = ___
6.39 × 21 = 30 × 20 + 30 × 1 + 9 × 20 + 9 × 1 = ___
7.31 × 19 = 30 × 10 + 30 × 9 + 1 × 10 + 1 × 9 = ___
8.13 × 19 = 10 × 10 + 10 × 9 + 3 × 10 + 3 × 9 = ___
9.25 × 27 = 20 × 20 + 20 × 7 + 5 × 20 + 5 × 7 = ___
10.28 × 19 = 20 × 10 + 20 × 9 + 8 × 10 + 8 × 9 = ___

LessonPrint · 4.NBT.B.5 · Set 14 · free to copy for classroom use

Answer key — Area Models and Square Numbers

Set 14. Prints on its own sheet.

  1. 1.100 + 50 + 50 + 25 = 225
  2. 2.100 + 30 + 30 + 9 = 169
  3. 3.100 + 20 + 20 + 4 = 144
  4. 4.100 + 40 + 40 + 16 = 196
  5. 5.400 + 40 + 60 + 6 = 506
  6. 6.600 + 30 + 180 + 9 = 819
  7. 7.300 + 270 + 10 + 9 = 589
  8. 8.100 + 90 + 30 + 27 = 247
  9. 9.400 + 140 + 100 + 35 = 675
  10. 10.200 + 180 + 80 + 72 = 532

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