mscroggs.co.uk
mscroggs.co.uk

subscribe

Comment

Comments

Comments in green were written by me. Comments in blue were not written by me.
@Rob: It looks to me like you've made mistakes in questions 1, 6, 8, and 9. The hints from the back of the pdf might help:

1. How many numbers between 1 and 10,000 have 1 as their final digit? How many have 1 as their penultimate digit?

6. How many ways can you write 1? 2? 3? 4? 5? What's the pattern?

8. How many zeros does 10! end in? How many zeros does 20! end in? How many zeros does 30! end in?

9. Carol’s sum is odd. What does this tell you about the 5- and 6-digit numbers?
Matthew
on /blog/70
×4   ×3   ×4   ×3   ×4   

Archive

Show me a random blog post
 2026 

May 2026

World Cup stickers 2026

Apr 2026

A new puzzle every day
Mixing Wordle with other games

Feb 2026

Christmas (2025) is over
 2025 

Dec 2025

Christmas card 2025

Nov 2025

Christmas (2025) is coming!

Sep 2025

The partridge puzzle

Aug 2025

TMiP 2025 puzzle hunt

Jun 2025

A nonogram alphabet

Mar 2025

How to write a crossnumber

Jan 2025

Christmas (2024) is over
Friendly squares
 2024 

Dec 2024

A regular expression Christmas puzzle
Christmas card 2024

Nov 2024

Christmas (2024) is coming!

Feb 2024

Zines, pt. 2

Jan 2024

Christmas (2023) is over
 2023 
▼ show ▼
 2022 
▼ show ▼
 2021 
▼ show ▼
 2020 
▼ show ▼
 2019 
▼ show ▼
 2018 
▼ show ▼
 2017 
▼ show ▼
 2016 
▼ show ▼
 2015 
▼ show ▼
 2014 
▼ show ▼
 2013 
▼ show ▼
 2012 
▼ show ▼

Tags

christmas card game show probability simultaneous equations regular expressions pascal's triangle arrangement puzzles logic football ucl arithmetic national lottery nine men's morris wool draughts determinants matrix multiplication recursion newcastle warwick tennis preconditioning pokémon wordle big internet math-off golden ratio gather town data graphs reuleaux polygons kings electromagnetic field pizza cutting geogebra mathslogicbot rust php numerical analysis partridge puzzle bubble bobble stirling numbers squares fractals logo golden spiral geometry datasaurus dozen asteroids 24 hour maths ternary european cup london underground crosswords dragon curves puzzles matrix of minors rugby braiding data visualisation interpolation cambridge bots coins pac-man final fantasy probability games flexagons turtles accuracy game of life folding tube maps errors correlation numbers matrices boundary element methods machine learning dataset exponential growth sorting oeis mathsteroids chebyshev phd raspberry pi youtube wave scattering world cup finite group royal institution latex folding paper fence posts countdown fonts weather station the aperiodical advent calendar tmip cross stitch computational complexity stickers martin gardner triangles go christmas royal baby hannah fry palindromes gaussian elimination chalkdust magazine quadrilaterals mean speed logs binary edinburgh graph theory estimation crossnumber pi approximation day reddit bodmas misleading statistics pythagoras standard deviation friendly squares manchester crossnumbers news craft guest posts gerry anderson london coventry map projections sound sobolev spaces plastic ratio convergence signorini conditions rhombicuboctahedron platonic solids pokémon radio 4 propositional calculus matt parker a gamut of games live stream trigonometry anscombe's quartet menace zines chess sport mathsjam books databet manchester science festival alphabets javascript captain scarlet frobel crochet approximation hyperbolic surfaces wordle talking maths in public hats runge's phenomenon statistics light dates people maths bempp dinosaurs noughts and crosses weak imposition polynomials matrix of cofactors video games inverse matrices error bars kenilworth pi python finite element method curvature realhats programming hexapawn thirteen inline code bluesky harriss spiral nonograms tetris

Archive

Show me a random blog post
▼ show ▼
© Matthew Scroggs 2012–2026