---
title: "Medium number pyramid: free printable with answers"
description: "Free printable medium number pyramids with answers. A 4-row pyramid with blanks to add up and subtract down, each with one answer. Print with the answer."
source: "https://www.oncebooks.com/number-pyramid/medium"
---

1. [Home](https://www.oncebooks.com/)
2. [Number pyramid](https://www.oncebooks.com/number-pyramid)
3. Medium

Free printable

# Medium number pyramid

A medium number pyramid is four rows tall with fewer bricks given, so you add upward where two bricks are known and subtract downward where a brick and one neighbour are. Each puzzle has exactly one answer.

PuzzleDesign

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.

Theme

ClassicBoldSoftShadedNavyIndigoSkyTealEmeraldForestPlumBerryCrimsonEmberAmberCocoa

**Customise colours**

Numbers

Cell lines

Box lines

Page background

Style

StandardClean

Clean drops the title band and footer, leaving the grid.

Generate puzzlePrint / save PDF

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](https://app.oncebooks.com/publisher-studio/number-pyramid/edit?from=number-pyramid&v=2&s=eyJkaWZmaWN1bHR5IjoiTUVESVVNIiwiY29sb3JUaGVtZSI6eyJ0aGVtZUlkIjoiY2xhc3NpYyIsIm92ZXJyaWRlcyI6e319fQ)

Free to build · pay once to export

Preview

The puzzle and its completed answer, as they print.

Hide the preview

- Number Pyramid Medium

  1

  Puzzle
- Number Pyramid Medium · Solution

  2

  Solution

Generate puzzlePrint / save PDF

## 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

1. Add upward where you can. When two side-by-side bricks are both filled, the brick resting on them is just their sum.
2. Subtract 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.
3. Chase the forced bricks. Each number you fill unlocks its neighbours. Keep alternating add-up and subtract-down until the pyramid is full.
4. Check 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.

## Making a whole number pyramid book?

This page makes one puzzle. To publish a book on Amazon KDP, the [KDP number pyramid maker](https://www.oncebooks.com/kdp-number-pyramid-maker) generates hundreds of graded puzzles at any trim, as a print-ready 300 DPI interior and solutions PDF. Generate once, export unlimited sizes.

## More printable number pyramids

- [Easy number pyramid](https://www.oncebooks.com/number-pyramid/easy)
- [Hard number pyramid](https://www.oncebooks.com/number-pyramid/hard)
- [Large number pyramid](https://www.oncebooks.com/number-pyramid/large)
- [Number pyramids for kids](https://www.oncebooks.com/number-pyramid/for-kids)
- [Number pyramids for beginners](https://www.oncebooks.com/number-pyramid/for-beginners)

[See every printable number pyramid](https://www.oncebooks.com/number-pyramid)

## Questions

**Are these medium number pyramid free to print?**

Yes. Generate the puzzle above and print it with its answer, at no cost and with no sign-up. It is free for classroom, home and personal use.

**Does every puzzle have one solution?**

Yes. Every puzzle is generated and checked so the revealed bricks fix exactly one completion, verified before it prints. The answer is on the second page.

**Can I make a number pyramid book to sell on KDP?**

Yes. The free tool makes one puzzle. The KDP number pyramid maker generates hundreds of graded puzzles at any KDP trim, as a print-ready 300 DPI interior and solutions PDF, so you can publish a book.