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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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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
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Christmas (2017) is coming!
MENACE at Manchester Science Festival
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Big Ben Strikes Again
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The end of coins of constant width
Dragon curves II
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The importance of estimation error
Jan 2017
Is MEDUSA the new BODMAS?
2016
▼ show ▼
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Dec 2016
Christmas (2016) is over
Video game surfaces
Christmas card 2016
Nov 2016
Christmas (2016) is coming!
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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
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▼ show ▼
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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
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Optimal Pac-Man
Tube map stellated rhombicuboctahedron
Logic bot, pt. 2
Design your own flexagon
Jan 2015
Tube map Platonic solids, pt. 3
2014
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Electromagnetic Field talk
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Tennis maths
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World Cup stickers
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Countdown probability, pt. 2
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New machine unfriendly £1 coin, pt. 2
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2013
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Dec 2013
Assorted christmaths
Pointless probability
Jul 2013
"Uncanny" royal coincidence
Raspberry Pi weather station
2012
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Tube map Platonic solids, pt. 2
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Tube map Platonic solids
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curvature
kings
game show probability
youtube
draughts
news
christmas card
pi approximation day
python
nine men's morris
hannah fry
computational complexity
ternary
speed
standard deviation
games
numerical analysis
platonic solids
london
captain scarlet
hexapawn
radio 4
game of life
braiding
coins
triangles
chess
recursion
quadrilaterals
geometry
fence posts
bempp
gather town
wool
advent calendar
programming
trigonometry
golden ratio
matrix of cofactors
pythagoras
propositional calculus
electromagnetic field
dataset
national lottery
martin gardner
exponential growth
final fantasy
go
bubble bobble
error bars
bodmas
sound
realhats
reddit
graphs
pascal's triangle
regular expressions
palindromes
data
people maths
reuleaux polygons
hyperbolic surfaces
latex
football
runge's phenomenon
finite element method
royal baby
flexagons
a gamut of games
logic
sorting
european cup
dates
probability
interpolation
royal institution
map projections
folding paper
misleading statistics
countdown
statistics
weather station
the aperiodical
rugby
light
correlation
fractals
approximation
accuracy
inverse matrices
pizza cutting
video games
boundary element methods
friendly squares
hats
rhombicuboctahedron
cross stitch
weak imposition
mean
gerry anderson
pac-man
tmip
oeis
puzzles
logo
phd
dragon curves
inline code
estimation
books
errors
graph theory
ucl
anscombe's quartet
chebyshev
geogebra
matrix of minors
manchester
numbers
mathsjam
tennis
preconditioning
folding tube maps
matrices
big internet math-off
binary
craft
matt parker
live stream
zines
php
noughts and crosses
finite group
manchester science festival
bots
mathsteroids
frobel
pi
signorini conditions
data visualisation
sport
wave scattering
asteroids
newcastle
sobolev spaces
24 hour maths
databet
guest posts
christmas
crossnumber
convergence
edinburgh
datasaurus dozen
fonts
squares
machine learning
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chalkdust magazine
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talking maths in public
arithmetic
london underground
menace
gaussian elimination
stickers
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stirling numbers
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© Matthew Scroggs 2012–2025
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