Area Model Multiplication Worksheets With the Boxes Already Drawn

Pick a grid under Sheet type, from 2 boxes to 9, press Make a new sheet, then press Print.

Sheet type

Problems

Answer key

6 problems. 2 by 2 grid for any 2-digit numbers. Sheet 7QUAAS, with its answer key.

2 by 2 grid for any 2-digit numbers

Name Date Score / 6

Split both numbers into their place values, write the parts along the model, fill in the cells and add them.

1.58 × 62 = ________
2.57 × 64 = ________
3.99 × 58 = ________
4.69 × 89 = ________
5.36 × 38 = ________
6.99 × 96 = ________

Sheet 7QUAAS · Made at homeroomtools.com

Answer key. 2 by 2 grid for any 2-digit numbers

1.58 × 62 = 3,5963,000 + 480 + 100 + 16 = 3,596
2.57 × 64 = 3,6483,000 + 420 + 200 + 28 = 3,648
3.99 × 58 = 5,7424,500 + 450 + 720 + 72 = 5,742
4.69 × 89 = 6,1414,800 + 720 + 540 + 81 = 6,141
5.36 × 38 = 1,368900 + 180 + 240 + 48 = 1,368
6.99 × 96 = 9,5048,100 + 810 + 540 + 54 = 9,504

Sheet 7QUAAS · Made at homeroomtools.com

Next step Try 2-digit by 2-digit in columns Drill the facts the boxes rely on

How it works

Free area model multiplication worksheets with the boxes already drawn, so nobody spends the lesson ruling lines. Sheets run from 2 boxes for a 1-digit multiplier to 2 by 2 grids and larger. The key fills in every box.

Read the full guide

How the box method works, and its names

Split each number into its place value parts, draw one box for each pair of parts, fill every box, then add the boxes. For 23 × 45 the boxes hold 800, 120, 100 and 15, which total 1,035. Each box is the area of one piece of a 23 by 45 rectangle, hence the name. In England and Wales it is the grid method. A box method multiplication worksheet and an area model multiplication worksheet ask for the same work.

Start with 2-digit × 1-digit with the split written in. Once those boxes come easily, switch to 2-digit × 1-digit split it yourself.
Check the zeros in each box: 40 × 20 is 800, not 80.
Need a box multiplication worksheet for problems from your own textbook? Have pupils copy the grid from a printed sheet and write the numbers in.

Questions and answers

Is the area model the same as partial products?

Same arithmetic, different layout. The area model puts each partial product in a box, and the partial products sheets list the same numbers in a column under the problem. For 34 × 13 both give 300, 40, 90 and 12, total 442.

What grade are box method multiplication worksheets for?

Mostly grade 4. Common Core 4.NBT.5 names area models for up to four digits by one digit and for two 2-digit numbers, and Texas 4.4(C) names them too. Grade 5 asks for the standard algorithm, but Texas 5.3(D) brings area models back for decimal products.

When should pupils move from boxes to the standard algorithm?

When the boxes are quick and correct. The two methods line up: for 34 × 13 the column rows, 102 and 340, are the bottom and top rows of the grid. The grid stays a useful check afterwards.

All 12 sheet types

A row of boxes: 1-digit multiplier 5

2-digit × 1-digit split it yourself For 68 × 7 the pupil writes 60 and 8 along the top, fills in 420 and 56, and adds to reach 476.
2-digit × 1-digit with the split written in 47 × 6 with 40 and 7 already printed above the two boxes. Pupils fill in 240 and 42, then add to get 282. Use it for the first lesson, before asking anyone to split a number alone.
3-digit × 1-digit in 3 boxes 426 × 7 is 2,800 + 140 + 42 = 2,982. The hundreds box is the one that goes wrong: 400 × 7 is 28 hundreds, so the box needs two zeros after the 28.
4-digit × 1-digit in 4 boxes 3,126 × 4 is 12,000 + 400 + 80 + 24 = 12,504. Four digits by one digit is the largest size Common Core 4.NBT.5 sets for grade 4, and the standard names area models as one way to show the work.
Teen number × 1-digit in 2 boxes 14 × 6 becomes 10 × 6 = 60 and 4 × 6 = 24, and 60 + 24 = 84. The gentlest first sheet: the tens box is always 10 times the multiplier, so pupils can watch how the split works.

Show all 12 sheet types (7 more)

A grid of boxes: two multi-digit factors 7

2 by 2 grid for any 2-digit numbers 58 × 76 gives 3,500, 560, 300 and 48, which total 4,408. The page opens on this sheet: 6 empty grids, the two numbers beside each one, and a line for the sum.
2 by 2 grid with a teen multiplier 34 × 13 gives 300, 40, 90 and 12, which total 442. With a multiplier from 11 to 19 the top row is just the number times 10, so this is a calm first go at four boxes.
2 by 2 grid with the split written in 23 × 45 with 20 and 3 printed across the top and 40 and 5 down the side. The boxes are 800, 120, 100 and 15, and they add up to 1,035.
2-digit × a multiple of 10 in 2 boxes 47 × 60 needs only two boxes, 40 × 60 = 2,400 and 7 × 60 = 420, for 2,820. It shows why a zero in the ones place removes a whole row of the grid.
3-digit × 2-digit in 6 boxes 345 × 28 is six easy products: 6,000, 800 and 100 in the 20 row, then 2,400, 320 and 40 in the 8 row. The rows total 6,900 and 2,760, and the answer is 9,660. Grade 5 standards ask for the standard algorithm at this size, so treat the grid as a check.
3-digit × 3-digit in 9 boxes 324 × 215 fills nine boxes, from 300 × 200 = 60,000 down to 4 × 5 = 20, and they total 69,660. Four to a page. A good way to show why the column method saves writing once numbers get this long.
Square numbers 11 × 11 to 19 × 19 13 × 13 is 100 + 30 + 30 + 9 = 169. In a square the two middle boxes always match. Texas standard 4.4(C) asks for perfect squares through 15 by 15; the sheet carries on to 19 × 19 = 361.

How this list was compiled: Sheet types, wording and worked examples are own work; every worked example was computed twice by script on 2026-09-18. The layout of the method (one box per pair of place value parts, all boxes added at the end), its other names (grid method, box method), its use in primary schools in England and Wales since the late 1990s, and the examples 34 × 13 = 442, 345 × 28 = 9,660 and 2 1/2 × 1 1/2 = 3 3/4 were checked 2026-09-18 against https://en.wikipedia.org/wiki/Grid_method_multiplication and https://en.wikipedia.org/wiki/Multiplication_algorithm. Standard numbers and wording checked 2026-09-18 against the full text of the Common Core State Standards for Mathematics (national copy, https://learning.ccsso.org/wp-content/uploads/2022/11/ADA-Compliant-Math-Standards.pdf, read again 2026-09-20: 3.MD.7c, 4.NBT.5, 5.NBT.5, 5.NBT.7, 5.NF.4b, 5.NF.6) and the Texas Essential Knowledge and Skills for Mathematics, 19 TAC chapter 111 subchapter A (https://tea.texas.gov/laws-and-rules/sboe-rules-tac/sboe-tac-currently-effect/ch111a.pdf: 3.4(E), 3.4(G), 4.4(C), 4.4(D), 5.3(B), 5.3(D)). Fix pass 2026-09-20: the examples 3,126 × 4 = 12,504 and 324 × 215 = 69,660 replaced 2,714 × 3 and 412 × 236, which sibling pages also work; every box and both totals were computed by script that day. Licence: own work