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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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Christmas (2024) is over
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A regular expression Christmas puzzle
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Mathsteroids on hyperbolic surfaces
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Build your own MENACE
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Christmas (2021) is coming!
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Dec 2020
Christmas card 2020
Nov 2020
Christmas (2020) is coming!
Jul 2020
Happy -62+e+gτ-√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
newcastle
standard deviation
pac-man
pokémon
matrix multiplication
fence posts
inline code
national lottery
map projections
royal institution
fonts
realhats
coventry
stickers
big internet math-off
live stream
weak imposition
javascript
go
crosswords
gather town
interpolation
sobolev spaces
royal baby
chalkdust magazine
triangles
folding tube maps
rhombicuboctahedron
logo
statistics
pythagoras
crossnumber
graph theory
pi approximation day
probability
london
manchester science festival
captain scarlet
game of life
inverse matrices
warwick
signorini conditions
latex
friendly squares
hannah fry
geogebra
weather station
chess
datasaurus dozen
machine learning
bodmas
stirling numbers
quadrilaterals
reddit
mathsteroids
nine men's morris
reuleaux polygons
squares
asteroids
flexagons
logs
partridge puzzle
bempp
platonic solids
wordle
youtube
hexapawn
cambridge
golden spiral
harriss spiral
chebyshev
nonograms
folding paper
alphabets
video games
mean
approximation
kings
world cup
dragon curves
advent calendar
bots
polynomials
matt parker
coins
manchester
pascal's triangle
preconditioning
arrangement puzzles
wave scattering
kenilworth
data visualisation
the aperiodical
anscombe's quartet
plastic ratio
gaussian elimination
ternary
programming
wool
light
game show probability
rust
numbers
books
thirteen
news
countdown
finite group
golden ratio
rugby
european cup
accuracy
curvature
draughts
pi
binary
determinants
palindromes
geometry
frobel
propositional calculus
pokémon wordle
oeis
boundary element methods
braiding
numerical analysis
crossnumbers
simultaneous equations
christmas card
finite element method
craft
london underground
sport
cross stitch
recursion
correlation
matrices
gerry anderson
a gamut of games
trigonometry
ucl
php
radio 4
convergence
christmas
crochet
guest posts
tennis
regular expressions
noughts and crosses
sorting
estimation
menace
dates
bluesky
databet
electromagnetic field
games
martin gardner
errors
edinburgh
computational complexity
arithmetic
bubble bobble
matrix of minors
phd
mathslogicbot
final fantasy
graphs
raspberry pi
logic
hats
dataset
turtles
tmip
matrix of cofactors
hyperbolic surfaces
pizza cutting
people maths
exponential growth
zines
misleading statistics
runge's phenomenon
speed
football
tetris
python
error bars
24 hour maths
mathsjam
puzzles
fractals
sound
data
dinosaurs
talking maths in public
© 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