Dear Readers,
Welcoming archways in Heaven will be infinitely more beautiful than anything we can imagine or have seen so far.
None of us need miss out on the everlasting joy of God’s Kingdom.
We are all warmly invited. ❤️
Will you accept?
Why not decide to happily answer “YES” in your heart right now (if you haven’t yet done so)? ❤️
I also gratefully thank God for giving the beautiful ideas for all the puzzles and brainteasers in this (and indeed every) blog post. You are always very welcome to send me by email your answers to some or all of the goodies, if you would like to do so 👍❤️
The Loving Living Spirit Equation 💕
L + S + L * S = L2 + S2 + 1
The above equation is my absolute favourite one ❤️
Given that God’s Love and Spirit are real and are represented here by L and S, my favourite brainteaser for you is to solve (with proof) the equation
L + S + L * S = L2 + S2 + 1
Puzzle to Celebrate a Lovely Couple 💕
Here in Blog Post #171, think of the largest prime divisor (or factor) of 171. The correct prime factor (19) is the number of years that Patrick & Roberta have been married, and they’re planning a wonderful summer feast later this year to celebrate their 20th wedding anniversary 💕
Suppose that P, R & I represent three different prime numbers, and I + R = P. Also, R + R – I = 20.
To discover the day number and month when my wife (Jenny) and I are going to celebrate with Patrick & Roberta, figure out the exact value of P * R * I * I ÷ 20.
Puzzles in Honour of Students 👍😊
Imagine a mathematical student saying to me, “Mr. Mo, I’m thinking of a particular year _ _ _ _ from within the time of your life so far. If I insert my favourite one-digit number in the middle, to get _ _ _ _ _ , then the resulting number equals the cube of my house number !”
Your fun challenge is to figure out both the student’s favourite one-digit number and the house number 😁.
Warm Welcome to Anna K. Puzzle 😍
Anna K. is the newest student who arrived at Musica Mundi School (MMS) just a few days ago. It’s lovely that she’s featuring here in Blog Post #171, because Anna’s birthday is actually 20 June = day number 171 of the year! This year, she’ll be turning from 16 to 17.
(16 + 17) * FUN = 20FUN
where FUN represents a certain three-digit number and 20FUN represents a five-digit number.
Your FUN puzzle is to figure out the exact value of FUN.
B😊NUS PUZZLE
I’m now thinking of three particular, consecutive prime numbers. The total sum of their squares equals 3171.
Your fun bonus challenge is to figure out exactly which three prime numbers I’m thinking of.
Happy Valentin’s Day Puzzle!! 😁
Today, 25.1.25, is the 25th day of the year, and also the birthday of Valentin, one of my Mathematics students at MMS. In HH days from now (where HH represents a particular two-digit number), it will be day number XY of this year, where XY represents a rather special two-digit number. A delightful detail is the fact that XY days is actually equal to X days + Y weeks 😊
Your fun puzzle challenge is to figure out the exact values of H, X and Y.
A FAV Puzzle 😍 (in honour of students Faye and Artemii (& Valentin of course) whose birthdays are coming up within the next couple of days).
Faye, Artemii and Valentin know that 3 is my absolute favourite number, but I also like square numbers. So, imagine that they discover the smallest positive whole number W for which W squared begins with three 3s (on the left).
The fresh fun challenge is to discover the exact value of W 👌😊.
A Circular Cakes & Cream Brainteaser 👌😍
I couldn’t help imagining delicious cakes and cream when looking at the diagram of 4 identical circles set up nicely on a square tray 😁!
Your tasty brainteaser is to figure out (correct to 4 significant figures) the area of the central yellow part as a percentage of the area of the entire square.
Extra-special congratulations if you can prove mathematically that your answers up to here in this blog post are the correct solutions to the two brainteasers and six number puzzles presented so far.
A Knight’s Tale about King Richard! 🤣😂
Richard is one of the keenest students who loves to play at the Musica Mundi School Chess Club😊.
Last week, just for fun, Richard sneakily moved a queen like a knight in order to turn a ‘checkmate in two moves’ puzzle into an immediate mate in one move!! Everyone there (myself included) had a good laugh about it!
Now, though, I’m making sure to present a puzzle position involving a real knight but no queen! 😂
It’s a delightful puzzle that I saw posted recently on Facebook.
Word Puzzle: Rearrange the letters of A NOBLE ARC to make the name of a very well-known, stunning city beginning with B.
but Heaven is where I want to live forever
and it’s free for everyone who recognises
and gratefully accepts God’s gift.❤️
Let’s enjoy an extra double bonus brainteaser treat before wrapping up this blog post!! 🙌😊
Two friends share the same birthday (25 January), but their ages are several years apart. Today, the younger friend said to the older one: “When I reach the age that you are now, the product of our ages then will be very nearly 200 more than the product of our ages now.”
This modest brainteaser/puzzle is for you to figure out (with proof) the exact dates of birth of the two friends.
In a particular family, the father is several years older than his wife. Let’s call their age difference N. They also have N children. One great grandfather is still alive, and he helps to make Maths homework easier for everyone! 👍😁
The product that would result from multiplying together N by the ages of the great grandfather, the father, and his wife, would of course be a large number, but curiously it would only involve one particular digit repeated all the way from the start, left-end of the number to the finish, right-end of the number.
Your Brainteaser Challenge is to figure out the value of N, and also the ages of the great grandfather, the father, and his wife.
To finish, here is a beautiful quote from John 17:1 in The Bible:
After Jesus had spoken these words, He looked up to Heaven and said, ‘Father, the hour has come; glorify your Son so that the Son may glorify You.’
Paul Motwani 