Tower Math – printable calculation towers (PDF)

A start number, then step by step × 2, × 3 … and back again. At the bottom of the tower you get the start number back. Calculation towers with your own numbers, free as a PDF.

How it works & FAQ

How tower math works

The start number is at the top of the tower. Each row names the next step, and the result goes in the box below. First the numbers go up with multiplication (or addition), then back down with division (or subtraction).

Because the tower ends at the start number, it checks itself: if the last number is right, the whole tower usually is too.

Who is tower math for?

In memory training and activity groups it is a mental arithmetic exercise with a clear goal. Your own start numbers, such as a birth year, make it personal.

In elementary school it practises the times tables and their inverse.

Adjusting the difficulty

The highest number sets how tall the tower gets. With multiply and divide the numbers grow fast: up to 9 they reach the millions, up to 5 they stay manageable.

Add and subtract is the easier version with small numbers.

Your worksheet in five steps

  1. Enter start numbers, or leave the field empty for random ones.
  2. Choose the operation: multiply and divide, or add and subtract.
  3. Set the highest number and check the largest number on the sheet.
  4. If you like, change the number of towers.
  5. Download the PDF, with the answer sheet if you like.

Frequently asked questions

Is tower math free?

Yes. All worksheets on Demti are free and work without signing up. You may print and copy them at home, in groups and in the classroom.

Does the division always work out?

Yes. Because the tower multiplies by every number first, it can then be divided by each of them without a remainder.

Which start numbers work well?

Small numbers keep the tower manageable. For multiply and divide, start numbers below 50 and a highest number up to 6 are a good start.

How do I check the answers?

The last number has to be the start number again. The answer sheet also shows every result in between.