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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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PhD thesis, chapter ∞
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PhD thesis, chapter 1
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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!
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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
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Is MEDUSA the new BODMAS?
2016
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Christmas (2016) is over
Video game surfaces
Christmas card 2016
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Christmas (2016) is coming!
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Logical contradictions
Palindromic dates
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Tube map kaleidocycles
Jul 2016
Solving the cross diagonal cover problem
Jun 2016
Braiding, pt. 2
Braiding, pt. 1
Making names in Life
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Euro 2016 stickers
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Proving Pythagoras' theorem
Dragon curves
The
Mathematical Games
of Martin Gardner
Jan 2016
Christmas (2015) is over
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Christmas (2015) is coming!
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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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Logic bot
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Electromagnetic Field talk
Jun 2014
Tennis maths
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World Cup stickers
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Countdown probability, pt. 2
Countdown probability
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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
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Tube map Platonic solids, pt. 2
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Tube map Platonic solids
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probability
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ucl
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approximation
game of life
arithmetic
puzzles
determinants
final fantasy
computational complexity
polynomials
kings
curvature
bots
football
the aperiodical
christmas
matrix of minors
accuracy
hexapawn
realhats
royal institution
manchester
misleading statistics
fractals
tmip
graphs
platonic solids
sobolev spaces
signorini conditions
quadrilaterals
data
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go
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errors
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recursion
books
dataset
chalkdust magazine
cross stitch
noughts and crosses
preconditioning
video games
standard deviation
exponential growth
sound
london
weak imposition
convergence
nine men's morris
hannah fry
guest posts
ternary
mathslogicbot
binary
error bars
pascal's triangle
stirling numbers
plastic ratio
friendly squares
inverse matrices
hyperbolic surfaces
advent calendar
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inline code
runge's phenomenon
folding tube maps
hats
national lottery
live stream
matt parker
gaussian elimination
mathsteroids
craft
rhombicuboctahedron
reuleaux polygons
manchester science festival
bodmas
data visualisation
countdown
trigonometry
bubble bobble
triangles
graph theory
fence posts
people maths
simultaneous equations
harriss spiral
map projections
edinburgh
squares
chebyshev
python
sorting
gerry anderson
phd
pizza cutting
regular expressions
anscombe's quartet
menace
php
matrix multiplication
talking maths in public
fonts
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frobel
stickers
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palindromes
mathsjam
geometry
a gamut of games
oeis
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golden ratio
© 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