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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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A nonogram alphabet
Mar 2025
How to write a crossnumber
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Christmas (2024) is over
Friendly squares
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A regular expression Christmas puzzle
Christmas card 2024
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Christmas (2024) is coming!
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Christmas (2023) is coming!
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Logo Asteroids
Mar 2023
Mathsteroids on hyperbolic surfaces
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The databet
Jan 2023
Christmas (2022) is over
2022
▼ show ▼
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Dec 2022
Off-by-one errors
Christmas card 2022
Nov 2022
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!
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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 -6+τφ 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
pi approximation day
tmip
weather station
bubble bobble
databet
coventry
menace
gather town
light
kenilworth
friendly squares
data
machine learning
pi
weak imposition
hyperbolic surfaces
exponential growth
matrix multiplication
national lottery
speed
sobolev spaces
guest posts
cambridge
countdown
standard deviation
graphs
gerry anderson
realhats
plastic ratio
errors
map projections
probability
video games
logo
dates
reuleaux polygons
simultaneous equations
pokémon
triangles
football
logic
interpolation
youtube
chebyshev
stirling numbers
matt parker
zines
bots
wordle
fractals
pizza cutting
platonic solids
christmas
accuracy
dragon curves
braiding
crossnumbers
matrix of minors
wave scattering
data visualisation
determinants
cross stitch
misleading statistics
chalkdust magazine
fence posts
sport
preconditioning
final fantasy
draughts
sorting
noughts and crosses
nine men's morris
recursion
squares
arrangement puzzles
warwick
partridge puzzle
bluesky
golden spiral
world cup
bempp
runge's phenomenon
gaussian elimination
propositional calculus
tennis
binary
quadrilaterals
golden ratio
coins
captain scarlet
european cup
folding tube maps
christmas card
talking maths in public
pokémon wordle
reddit
bodmas
oeis
finite group
regular expressions
crossnumber
games
inline code
anscombe's quartet
stickers
hannah fry
pascal's triangle
dataset
programming
dinosaurs
live stream
news
convergence
javascript
php
sound
datasaurus dozen
turtles
signorini conditions
game show probability
royal baby
puzzles
boundary element methods
frobel
pythagoras
error bars
people maths
london
mathsteroids
python
pac-man
approximation
electromagnetic field
harriss spiral
24 hour maths
newcastle
mean
folding paper
inverse matrices
curvature
matrices
correlation
statistics
manchester science festival
wool
game of life
flexagons
royal institution
rugby
edinburgh
palindromes
mathsjam
latex
craft
graph theory
mathslogicbot
asteroids
ternary
rhombicuboctahedron
arithmetic
raspberry pi
crosswords
alphabets
kings
logs
matrix of cofactors
manchester
radio 4
geogebra
tetris
geometry
nonograms
martin gardner
chess
crochet
hats
numerical analysis
estimation
advent calendar
finite element method
fonts
phd
books
hexapawn
trigonometry
go
london underground
big internet math-off
numbers
polynomials
a gamut of games
the aperiodical
computational complexity
thirteen
rust
ucl
© 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