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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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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
Jan 2017
Is MEDUSA the new BODMAS?
2016
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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
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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
May 2016
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
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Optimal Pac-Man
Tube map stellated rhombicuboctahedron
Logic bot, pt. 2
Design your own flexagon
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Tube map Platonic solids, pt. 3
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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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Assorted christmaths
Pointless probability
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"Uncanny" royal coincidence
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correlation
plastic ratio
probability
errors
countdown
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big internet math-off
mathslogicbot
stirling numbers
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finite group
matrix multiplication
gerry anderson
javascript
dragon curves
simultaneous equations
golden ratio
runge's phenomenon
chess
advent calendar
map projections
approximation
youtube
hexapawn
dinosaurs
pac-man
inline code
football
gaussian elimination
preconditioning
accuracy
pythagoras
bempp
matrix of cofactors
nine men's morris
game of life
numerical analysis
signorini conditions
ternary
numbers
books
martin gardner
gather town
tmip
edinburgh
talking maths in public
national lottery
cambridge
weak imposition
live stream
game show probability
tennis
regular expressions
trigonometry
christmas
programming
matt parker
folding tube maps
radio 4
braiding
chebyshev
fractals
news
go
ucl
bubble bobble
pi approximation day
error bars
people maths
captain scarlet
squares
standard deviation
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rhombicuboctahedron
misleading statistics
frobel
kings
platonic solids
oeis
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machine learning
triangles
data
graph theory
games
puzzles
harriss spiral
phd
dataset
wave scattering
pi
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fence posts
chalkdust magazine
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video games
estimation
pascal's triangle
a gamut of games
raspberry pi
sound
curvature
manchester science festival
crossnumber
geometry
manchester
fonts
24 hour maths
convergence
speed
inverse matrices
folding paper
logo
dates
interpolation
london
finite element method
noughts and crosses
bodmas
arithmetic
bots
christmas card
php
matrix of minors
sorting
golden spiral
friendly squares
mathsteroids
exponential growth
determinants
weather station
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logs
european cup
wool
reddit
boundary element methods
asteroids
crochet
propositional calculus
coins
mean
rugby
light
palindromes
menace
matrices
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anscombe's quartet
the aperiodical
logic
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sport
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hats
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stickers
databet
graphs
binary
pizza cutting
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craft
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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