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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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A surprising fact about quadrilaterals
Interesting tautologies
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Log-scaled axes
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PhD thesis, chapter ∞
PhD thesis, chapter 5
PhD thesis, chapter 4
PhD thesis, chapter 3
Inverting a matrix
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PhD thesis, chapter 1
Gaussian elimination
Matrix multiplication
Christmas (2019) is over
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A non-converging LaTeX document
TMiP 2019 treasure punt
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Big Internet Math-Off stickers 2019
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Proving a conjecture
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Harriss and other spirals
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Mathsteroids
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A bad Puzzle for Today
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Building MENACEs for other games
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A 20,000-to-1 baby?
World Cup stickers 2018
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Origins of World War I
Christmas (2017) is over
2017
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Dec 2017
Christmas card 2017
Nov 2017
Christmas (2017) is coming!
MENACE at Manchester Science Festival
Jun 2017
Big Ben Strikes Again
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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
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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
dragon curves
latex
errors
fractals
interpolation
sobolev spaces
dinosaurs
nonograms
javascript
machine learning
quadrilaterals
matt parker
databet
correlation
sorting
mathsteroids
polynomials
inline code
sound
24 hour maths
radio 4
data
flexagons
programming
crochet
python
books
oeis
exponential growth
data visualisation
pi approximation day
cross stitch
martin gardner
draughts
menace
national lottery
computational complexity
gather town
accuracy
noughts and crosses
ucl
statistics
matrix multiplication
christmas card
coventry
youtube
light
pac-man
rugby
ternary
hexapawn
friendly squares
preconditioning
kenilworth
european cup
stickers
boundary element methods
royal institution
pi
nine men's morris
talking maths in public
matrix of cofactors
golden spiral
pythagoras
triangles
captain scarlet
reddit
chess
partridge puzzle
craft
bubble bobble
stirling numbers
chebyshev
folding paper
curvature
signorini conditions
dataset
pizza cutting
manchester science festival
frobel
people maths
anscombe's quartet
crosswords
zines
gerry anderson
fonts
finite element method
tennis
fence posts
graphs
platonic solids
trigonometry
runge's phenomenon
mathsjam
game show probability
manchester
live stream
finite group
games
folding tube maps
probability
gaussian elimination
logo
rhombicuboctahedron
mathslogicbot
chalkdust magazine
misleading statistics
convergence
dates
newcastle
inverse matrices
hyperbolic surfaces
binary
tmip
raspberry pi
pascal's triangle
news
the aperiodical
braiding
plastic ratio
electromagnetic field
thirteen
numerical analysis
game of life
golden ratio
football
final fantasy
logs
recursion
matrix of minors
reuleaux polygons
simultaneous equations
numbers
speed
hannah fry
bodmas
countdown
error bars
graph theory
asteroids
propositional calculus
geogebra
guest posts
rust
weak imposition
puzzles
bempp
video games
edinburgh
logic
matrices
regular expressions
hats
arithmetic
wool
geometry
world cup
turtles
crossnumbers
realhats
determinants
crossnumber
christmas
approximation
alphabets
advent calendar
map projections
weather station
a gamut of games
kings
phd
php
coins
estimation
wave scattering
royal baby
cambridge
big internet math-off
standard deviation
sport
datasaurus dozen
go
squares
mean
warwick
london
palindromes
bots
harriss spiral
london underground
© 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