The lottery – wouldn’t we all like to win it?
Well there’s a new one in the UK – The Health Lottery. The National Lottery is the other, more ensconced one. Which one of these two should you play?
The statistics…
The Health Lottery
Pick 5 numbers out of a pool of 50
Match 3 – £50
Match 4 – £500
Match [...]
Make 383 out of 1,2,25,50,75,100 using +,-,*,/
That’s the question that landed on my lap a few moments ago – don’t know wether we are supposed to use all the integers, or some of them, once only, or more than once…. but hey… I’m not here to give you the answers!!! BTW you may have guessed [...]
Find integers where multiplying them by single digits (2-9) “rotates” their digits one position, so that the last digit become the first digit.
I’ll give you the first one, just to show how easy it is…
105263157894736842 * 2 = 210526315789473684
Undulating numbers are of the form: ababababab… For example, the
following are undulating numbers: 1717171, 282828, etc.
1. What is the next undulating square number after 121 (11^2)
2. What is the next undulating cube numbers after 343 (7^3)
How many 0’s are there in the numbers 1 to 1,000,000,000,000?
I refrain from the use of the word billion as our American cousins have difficulty in comprehending what a billion actually is (10^12, not 10^9)…. Flaming gratefully accepted at the usual address….
The following sequence has a name…..but I don’t know what that is…. What’s the next number in the meantime….
2
12
360
75600
174636000
1 = -1+9-9+2.
Extend this list from 2 through to 100 on the left side of the equals sign. +,-,/,x,(),sqrt,^,factorial(!) are all welcome in this exercise…. but…. the formula must use the four numbers in order 1 9 9 2.
Why??? I hear you ask – because the puzzle was originally written in 1992.
In how many ways can you use all the digits 1,2…9 and the operands + and – to create the equation 1?2?3?4?5?6?7?8?9=1
You can put the numbers in any order if it makes you happy, all 9 digits must be used, because I insist, and you can only use add and subtract . Leading minuses – [...]
I visited a friend one Sunday (I have friends – shocking, I know). I noted something unusual about his clock, other than the fact it was analogue, when the radio gave the time at the hour, the analogue antique was exactly 3 minutes slow.
“It loses 7 minutes every hour”, he told me, “no more and [...]
A “twin number” is a number formed by writing the same number twice, for instance, 88, 2222 or 1596315963 etc.
What is the smallest square twin of an integer?
To help you on your way…. it isn’t 11.
