Paul’s Puzzles By Paul Godding The Main Challenge Can you insert the numbers 1-9, exactly once each, into the gaps below so that all three lines work out arithmetically?
The Mathematically Possible Challenge Using 3, 4 and 12 once each, with + – × ÷ available, which SIX numbers is it possible to make from the list below?
◯ + ◯ = ◯ ◯ – ◯ = ◯ ◯ ÷ ◯ = ◯
6 12 18 24 30 36 42 48 54 60 #6TimesTable
The 7puzzle Challenge The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from 2 up to 84. The 2nd & 3rd rows contain the following fourteen numbers:
The Lagrange Challenge Lagrange’s Four-Square Theorem states that every integer can be made by adding up to four square numbers.
8 13 17 25 28 36 42 45 48 55 63 64 66 80
Which number, when 20 is added to it, becomes a square number?
For example, 7 can be made by 2²+1²+1²+1² (or 4+1+1+1). Show how you can make 189, in ELEVEN different ways, when using Lagrange’s Theorem.
The Target Challenge Can you arrive at 189 by inserting 3, 4, 5 and 7 into the gaps on each line? ◯×◯×(◯+◯) = 189
(◯+◯–◯)³+◯³ = 189
*** Solutions: http://7puzzleblog.com/answers/
Hello, my name is Paul Godding. I am a full-time professional private maths tutor based in the south-east of Wales who delivers face-to-face tuition locally as well as online tuition to students globally. It would be lovely to hear from you, so feel free to click paul@7puzzle.com if you wish to secure maths tuition for you or your child. Alternatively, you can ring/message/WhatsApp me from anywhere in the world:
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