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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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Build your own MENACE
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Christmas (2020) is coming!
Jul 2020
Happy 2+g-φ-5√2 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
bots
determinants
graph theory
binary
asteroids
hannah fry
mean
sorting
quadrilaterals
weak imposition
national lottery
24 hour maths
captain scarlet
zines
braiding
regular expressions
mathsjam
live stream
datasaurus dozen
inverse matrices
chalkdust magazine
raspberry pi
palindromes
pizza cutting
frobel
warwick
arrangement puzzles
hyperbolic surfaces
databet
nonograms
european cup
matt parker
data visualisation
pythagoras
graphs
error bars
anscombe's quartet
trigonometry
curvature
fonts
dinosaurs
the aperiodical
pokémon wordle
golden spiral
accuracy
manchester
turtles
kenilworth
cross stitch
royal institution
world cup
radio 4
harriss spiral
go
propositional calculus
royal baby
sport
coins
plastic ratio
youtube
video games
rust
machine learning
folding paper
guest posts
tetris
manchester science festival
gaussian elimination
christmas
london
crossnumbers
hats
statistics
friendly squares
realhats
chess
puzzles
correlation
oeis
interpolation
pokémon
cambridge
php
nine men's morris
light
polynomials
logic
newcastle
christmas card
probability
alphabets
flexagons
stickers
data
python
approximation
a gamut of games
crosswords
wordle
logs
geogebra
game show probability
people maths
rugby
matrix multiplication
sound
bempp
simultaneous equations
game of life
finite element method
preconditioning
advent calendar
wool
thirteen
edinburgh
speed
numbers
errors
stirling numbers
kings
dates
golden ratio
phd
craft
squares
countdown
reddit
tmip
coventry
gather town
dragon curves
draughts
crochet
programming
hexapawn
weather station
ucl
finite group
misleading statistics
sobolev spaces
gerry anderson
dataset
chebyshev
computational complexity
signorini conditions
talking maths in public
map projections
bodmas
platonic solids
logo
matrices
convergence
partridge puzzle
standard deviation
mathslogicbot
pascal's triangle
menace
latex
javascript
arithmetic
exponential growth
news
bubble bobble
pi
bluesky
inline code
matrix of minors
matrix of cofactors
electromagnetic field
tennis
triangles
runge's phenomenon
big internet math-off
boundary element methods
football
folding tube maps
martin gardner
games
pi approximation day
mathsteroids
rhombicuboctahedron
books
pac-man
london underground
fence posts
noughts and crosses
recursion
wave scattering
fractals
final fantasy
estimation
crossnumber
ternary
geometry
numerical analysis
reuleaux polygons
© 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