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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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×3
×4
×3
×4
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A nonogram alphabet
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Christmas (2024) is over
Friendly squares
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A regular expression Christmas puzzle
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Logo Asteroids
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Mathsteroids on hyperbolic surfaces
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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
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Approximating π
Feb 2022
Build your own MENACE
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Christmas (2021) is coming!
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Christmas (2020) is over
2020
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Dec 2020
Christmas card 2020
Nov 2020
Christmas (2020) is coming!
Jul 2020
Happy -3+τ-φ 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
determinants
finite element method
chebyshev
curvature
geometry
draughts
speed
game show probability
pi approximation day
youtube
bots
fence posts
manchester science festival
runge's phenomenon
crosswords
matrix multiplication
sound
signorini conditions
hats
matt parker
accuracy
crochet
london underground
machine learning
reddit
coventry
folding paper
tmip
matrix of minors
kings
probability
wordle
graph theory
arrangement puzzles
matrix of cofactors
matrices
graphs
royal baby
alphabets
news
kenilworth
hexapawn
recursion
pokémon
standard deviation
countdown
coins
stirling numbers
cambridge
oeis
data
tennis
pokémon wordle
royal institution
mean
computational complexity
games
gerry anderson
a gamut of games
sobolev spaces
weather station
pizza cutting
simultaneous equations
palindromes
cross stitch
ternary
hyperbolic surfaces
interpolation
regular expressions
pac-man
sorting
bluesky
people maths
propositional calculus
phd
approximation
fonts
wave scattering
squares
wool
pascal's triangle
game of life
tetris
stickers
datasaurus dozen
martin gardner
radio 4
estimation
inline code
bempp
electromagnetic field
thirteen
pi
video games
friendly squares
binary
bodmas
talking maths in public
crossnumber
asteroids
light
pythagoras
latex
triangles
edinburgh
php
quadrilaterals
trigonometry
gather town
mathsjam
numbers
bubble bobble
turtles
python
map projections
logs
european cup
partridge puzzle
crossnumbers
realhats
errors
mathsteroids
noughts and crosses
folding tube maps
flexagons
inverse matrices
football
rhombicuboctahedron
warwick
dataset
dinosaurs
chalkdust magazine
sport
final fantasy
advent calendar
harriss spiral
hannah fry
plastic ratio
statistics
the aperiodical
captain scarlet
dates
nine men's morris
nonograms
convergence
menace
misleading statistics
exponential growth
dragon curves
ucl
manchester
24 hour maths
puzzles
braiding
polynomials
christmas
guest posts
christmas card
national lottery
world cup
newcastle
rust
error bars
london
platonic solids
reuleaux polygons
mathslogicbot
programming
finite group
golden spiral
logo
frobel
books
rugby
fractals
javascript
geogebra
craft
logic
weak imposition
raspberry pi
live stream
data visualisation
databet
chess
go
big internet math-off
preconditioning
zines
boundary element methods
numerical analysis
golden ratio
gaussian elimination
correlation
arithmetic
anscombe's quartet
© 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