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Comments in green were written by me. Comments in blue were not written by me.
2019-12-17
@
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
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×4
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Christmas (2025) is coming!
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TMiP 2025 puzzle hunt
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A nonogram alphabet
Mar 2025
How to write a crossnumber
Jan 2025
Christmas (2024) is over
Friendly squares
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A regular expression Christmas puzzle
Christmas card 2024
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Chalkdust issue 17
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Logo Asteroids
Mar 2023
Mathsteroids on hyperbolic surfaces
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The databet
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Christmas (2022) is over
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▼ show ▼
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Dec 2022
Off-by-one errors
Christmas card 2022
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Christmas (2022) is coming!
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24 Hour Maths Game Show
Mar 2022
Approximating π
Feb 2022
Build your own MENACE
Jan 2022
Christmas (2021) is over
2021
▼ show ▼
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Dec 2021
Christmas card 2021
Nov 2021
Christmas (2021) is coming!
Sep 2021
TMiP 2021 puzzle hunt
May 2021
Close encounters of the second kind
Jan 2021
Christmas (2020) is over
2020
▼ show ▼
▲ hide ▲
Dec 2020
Christmas card 2020
Nov 2020
Christmas (2020) is coming!
Jul 2020
Happy -10+e√2+5√3 Approximation Day!
May 2020
A surprising fact about quadrilaterals
Interesting tautologies
Mar 2020
Log-scaled axes
Feb 2020
PhD thesis, chapter ∞
PhD thesis, chapter 5
PhD thesis, chapter 4
PhD thesis, chapter 3
Inverting a matrix
PhD thesis, chapter 2
Jan 2020
PhD thesis, chapter 1
Gaussian elimination
Matrix multiplication
Christmas (2019) is over
2019
▼ show ▼
▲ hide ▲
Dec 2019
Visualising MENACE's learning
Christmas card 2019
Nov 2019
Christmas (2019) is coming!
Sep 2019
A non-converging LaTeX document
TMiP 2019 treasure punt
Jul 2019
Big Internet Math-Off stickers 2019
Jun 2019
Proving a conjecture
Apr 2019
Harriss and other spirals
Mar 2019
realhats
Jan 2019
Christmas (2018) is over
2018
▼ show ▼
▲ hide ▲
Dec 2018
Christmas cross stitch
MENACE in fiction
Christmas card 2018
Nov 2018
Christmas (2018) is coming!
Sep 2018
Runge's Phenomenon
Jul 2018
World Cup stickers 2018, pt. 3
Mathsteroids
Jun 2018
World Cup stickers 2018, pt. 2
May 2018
A bad Puzzle for Today
Apr 2018
Building MENACEs for other games
Mar 2018
A 20,000-to-1 baby?
World Cup stickers 2018
Jan 2018
Origins of World War I
Christmas (2017) is over
2017
▼ show ▼
▲ hide ▲
Dec 2017
Christmas card 2017
Nov 2017
Christmas (2017) is coming!
MENACE at Manchester Science Festival
Jun 2017
Big Ben Strikes Again
Mar 2017
The end of coins of constant width
Dragon curves II
Feb 2017
The importance of estimation error
Jan 2017
Is MEDUSA the new BODMAS?
2016
▼ show ▼
▲ hide ▲
Dec 2016
Christmas (2016) is over
Video game surfaces
Christmas card 2016
Nov 2016
Christmas (2016) is coming!
Oct 2016
Logical contradictions
Palindromic dates
Sep 2016
Tube map kaleidocycles
Jul 2016
Solving the cross diagonal cover problem
Jun 2016
Braiding, pt. 2
Braiding, pt. 1
Making names in Life
May 2016
Euro 2016 stickers
Mar 2016
Proving Pythagoras' theorem
Dragon curves
The
Mathematical Games
of Martin Gardner
Jan 2016
Christmas (2015) is over
2015
▼ show ▼
▲ hide ▲
Nov 2015
Christmas (2015) is coming!
Oct 2015
How to kick a conversion
How much will I win on the new National Lottery?
Aug 2015
How OEISbot works
MENACE
Mar 2015
Optimal Pac-Man
Tube map stellated rhombicuboctahedron
Logic bot, pt. 2
Design your own flexagon
Jan 2015
Tube map Platonic solids, pt. 3
2014
▼ show ▼
▲ hide ▲
Nov 2014
Logic bot
Sep 2014
Electromagnetic Field talk
Jun 2014
Tennis maths
May 2014
World Cup stickers
Apr 2014
Countdown probability, pt. 2
Countdown probability
Mar 2014
New machine unfriendly £1 coin, pt. 2
New machine unfriendly £1 coin
2013
▼ show ▼
▲ hide ▲
Dec 2013
Assorted christmaths
Pointless probability
Jul 2013
"Uncanny" royal coincidence
Raspberry Pi weather station
2012
▼ show ▼
▲ hide ▲
Nov 2012
Tube map Platonic solids, pt. 2
Oct 2012
Tube map Platonic solids
Tags
stickers
graph theory
rust
football
alphabets
realhats
newcastle
braiding
anscombe's quartet
gerry anderson
sorting
quadrilaterals
cross stitch
manchester
guest posts
crosswords
ucl
tetris
reuleaux polygons
coventry
gaussian elimination
approximation
countdown
hexapawn
interpolation
craft
zines
finite element method
nonograms
flexagons
determinants
runge's phenomenon
partridge puzzle
propositional calculus
final fantasy
go
a gamut of games
asteroids
raspberry pi
numerical analysis
friendly squares
world cup
phd
pascal's triangle
logo
polynomials
wool
stirling numbers
royal baby
warwick
error bars
geogebra
triangles
speed
captain scarlet
map projections
rhombicuboctahedron
harriss spiral
plastic ratio
golden ratio
data
bempp
kings
matrices
big internet math-off
games
chess
folding paper
crossnumbers
noughts and crosses
logic
london
programming
mathsjam
convergence
menace
turtles
books
people maths
hannah fry
mathsteroids
fence posts
royal institution
nine men's morris
talking maths in public
python
martin gardner
pi
cambridge
boundary element methods
24 hour maths
youtube
pizza cutting
pokémon
probability
wordle
radio 4
hyperbolic surfaces
national lottery
correlation
edinburgh
weak imposition
regular expressions
latex
frobel
inverse matrices
logs
simultaneous equations
folding tube maps
sobolev spaces
numbers
databet
gather town
pokémon wordle
accuracy
crochet
pi approximation day
binary
matrix multiplication
preconditioning
ternary
palindromes
dragon curves
php
data visualisation
misleading statistics
arrangement puzzles
estimation
advent calendar
pac-man
electromagnetic field
matt parker
oeis
coins
inline code
graphs
game of life
crossnumber
thirteen
game show probability
signorini conditions
platonic solids
christmas
dates
trigonometry
christmas card
tmip
kenilworth
finite group
sound
bubble bobble
javascript
arithmetic
geometry
puzzles
weather station
standard deviation
news
video games
mean
sport
pythagoras
light
dataset
curvature
machine learning
datasaurus dozen
manchester science festival
bluesky
chalkdust magazine
bots
bodmas
fractals
matrix of cofactors
errors
golden spiral
matrix of minors
recursion
squares
exponential growth
fonts
hats
the aperiodical
dinosaurs
rugby
tennis
wave scattering
computational complexity
reddit
london underground
mathslogicbot
chebyshev
draughts
live stream
statistics
european cup
© Matthew Scroggs 2012–2026
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?
on /blog/70