---
title: Olympiad puzzle: how many pages from the digits? — a lesson of Mova's school · trees and pragmatics
description: «Olympiad puzzle: how many pages from the digits?», a lesson of the lessons course of Mova's primary school, sentence by sentence with dependency trees and pragmatics. It begins: Numbering pages from 1: pages 1 to 9 use 9 digits, pages 10 to 99 are 90 pages of 2 digits, 180 digits; together 189 digi
---

<!-- md -->
[Mova](https://md.mova.elamur.ai/free/en/) · [this page in HTML](https://mova.elamur.ai/free/en/corpora/school/lessons/180-digits-on-pages/)

<!-- crumbs -->
[home](https://md.mova.elamur.ai/free/en/) / [corpora](https://md.mova.elamur.ai/free/en/corpora/) / [school](https://md.mova.elamur.ai/free/en/corpora/school/) / [Lessons](https://md.mova.elamur.ai/free/en/corpora/school/lessons/) / Olympiad puzzle: how many pages from t…

# Olympiad puzzle: how many pages from the digits?

<!-- .vabout -->
Lesson 180 of the lessons course of Mova's primary school: 5 sentences, each with its syntax tree and pragmatics. The lessons are written for Mova, and their agreed trees are part of Mova corpus 0.4 (CC BY-SA 4.0).

<!-- list vl: b t -->
- [0](https://md.mova.elamur.ai/free/en/corpora/school/lessons/180-digits-on-pages/0/) — Numbering pages from 1: pages 1 to 9 use 9 digits, pages 10 to 99 are 90 pages of 2 digits, 180 digits; together 189 digits.
- [1](https://md.mova.elamur.ai/free/en/corpora/school/lessons/180-digits-on-pages/1/) — From page 100 on, every page uses 3 digits.
- [2](https://md.mova.elamur.ai/free/en/corpora/school/lessons/180-digits-on-pages/2/) — A book used 552 digits: 552 - 189 = 363 digits are on three-digit pages, 363 / 3 = 121 such pages.
- [3](https://md.mova.elamur.ai/free/en/corpora/school/lessons/180-digits-on-pages/3/) — They are pages 100, 101, …, so the last page is 99 + 121 = 220.
- [4](https://md.mova.elamur.ai/free/en/corpora/school/lessons/180-digits-on-pages/4/) — The book has 220 pages.

<!-- pn -->
- ← previous: [Two circles: how many are in both?](https://md.mova.elamur.ai/free/en/corpora/school/lessons/179-venn-both/)
- next →: [Sure of several of the same colour](https://md.mova.elamur.ai/free/en/corpora/school/lessons/181-pigeonhole-same-colour/)
- ↑ back to [Lessons](https://md.mova.elamur.ai/free/en/corpora/school/lessons/)

