What is a number pyramid?

A number pyramid (or addition pyramid) is a triangle of bricks where each brick equals the sum of the two directly beneath it. You fill the blanks by adding upward and subtracting downward until the whole pyramid is complete.

Is this number pyramid generator free?

Yes. Pick a difficulty, generate a puzzle and print the pyramid plus its answer, with no sign-up and no watermark. It is free for classroom, home and personal use.

Does every puzzle have one solution?

Yes. Every puzzle is generated and checked by the same engine our Publisher Studio uses, so the given bricks fix exactly one completion. A puzzle is never ambiguous or unsolvable.

Does it include the answer?

Yes. Every puzzle prints as two pages: the puzzle on page one and the completed pyramid on page two, so you can check your work.

What size are the pages?

The free tool prints at 8.25 by 11 inches, a popular large-print size. Our Publisher Studio will export the same book at any KDP trim, from 5.06 by 7.81 up to 8.27 by 11.69, as a print-ready 300 DPI interior.

Free tool

Free number pyramid generator, with the answer

Pick a height and generate an addition pyramid, then print it with its answer. Every puzzle has one completion, with no sign-up and no watermark. It runs on the same engine as our KDP Publisher Studio.

Difficulty

Taller pyramids with fewer given bricks are harder. Every puzzle has one answer.

4-row pyramid. Fill each brick with the sum of the two directly beneath it.

Two pages: the puzzle and its completed answer. Every puzzle has one solution, checked by the same engine as our KDP studio.

Want the whole book?

This makes one puzzle. Sign up to turn it into a full Number Pyramid book for Amazon KDP: hundreds of graded puzzles at any trim, as print-ready PDFs.

Build the full book

Free to build · pay once to export

Preview

The puzzle and its completed answer, as they print.

Number Pyramid Medium

1
Number Pyramid Medium · Solution

2

How to make a number pyramid

1Pick a difficulty. Choose a height from a gentle 3 rows up to a 6-row pyramid. Taller pyramids with fewer given bricks take more steps to finish.
2Generate the puzzle. Press Generate puzzle. You get a pyramid with some bricks filled in. Every brick is the sum of the two beneath it, and each puzzle has exactly one completion.
3Print the two pages. Press Print / save PDF. You get two pages: the puzzle on page one and the completed pyramid on page two.

How to solve a number pyramid

Fill every brick so each one equals the sum of the two bricks directly beneath it, working up to the single brick on top.

The method

1Add upward where you can. When two side-by-side bricks are both filled, the brick resting on them is just their sum.
2Subtract downward where you can. If a brick and one of the two beneath it are known, the other one below is the brick minus the known neighbour.
3Chase the forced bricks. Each number you fill unlocks its neighbours. Keep alternating add-up and subtract-down until the pyramid is full.
4Check the top. The apex equals the sum of the whole bottom row by its weights, so a correct bottom row always lands on the printed top number.

The one rule: Every brick is the sum of the two directly below it.
What the answer page shows: The fully completed pyramid is printed at the back.
How the grades differ: Taller pyramids with fewer revealed bricks need more add-and-subtract steps to finish.
Good for: Early arithmetic practice and anyone who likes a quick logic warm-up.

Publishing a whole book?

This tool makes one puzzle for home or the classroom. To make a number pyramid book you can sell on Amazon KDP, Publisher Studio generates hundreds of graded puzzles across a difficulty curve, at any KDP trim, as a print-ready interior and solutions PDF.

See the KDP number pyramid maker

Questions

What is a number pyramid?: A number pyramid (or addition pyramid) is a triangle of bricks where each brick equals the sum of the two directly beneath it. You fill the blanks by adding upward and subtracting downward until the whole pyramid is complete.
Is this number pyramid generator free?: Yes. Pick a difficulty, generate a puzzle and print the pyramid plus its answer, with no sign-up and no watermark. It is free for classroom, home and personal use.
Does every puzzle have one solution?: Yes. Every puzzle is generated and checked by the same engine our Publisher Studio uses, so the given bricks fix exactly one completion. A puzzle is never ambiguous or unsolvable.
Does it include the answer?: Yes. Every puzzle prints as two pages: the puzzle on page one and the completed pyramid on page two, so you can check your work.
What size are the pages?: The free tool prints at 8.25 by 11 inches, a popular large-print size. Our Publisher Studio will export the same book at any KDP trim, from 5.06 by 7.81 up to 8.27 by 11.69, as a print-ready 300 DPI interior.

Short of ideas? Browse our ready-made printables for this puzzle and print one today.