The Main Challenge
If you enjoy this, click Mathelona for further details of our number puzzles.
You must make all three lines work out arithmetically by inserting the twelve digits 0, 0, 1, 1, 2, 3, 3, 4, 5, 6, 6 and 7 into the gaps below:
◯ + ◯ = 7 = ◯ – ◯
◯ + ◯ = 5 = ◯ × ◯
◯ + ◯ = 6 = ◯ ÷ ◯
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 1st & 6th rows contain the following fourteen numbers:
2 5 9 12 14 15 18 20 22 33 40 49 56 72
Which two numbers have a difference of 21?
The Lagrange Challenge
Lagrange’s Four-Square Theorem states that every integer can be made by adding up to four square numbers.
For example, 7 can be made by 2²+1²+1²+1² (or 4+1+1+1).
Show how you can make 177, in EIGHT different ways, when using Lagrange’s Theorem.
The Mathematically Possible Challenge
Based on our best-selling arithmetic board game.
Using 3, 6 and 12 once each, with + – × ÷ available, which FOUR target numbers is it possible to make from the list below?
5 10 15 20 25 30 35 40 45 50
#5TimesTable
The Target Challenge
Can you arrive at 177 by inserting 1, 7, 9 and 11 into the gaps on each line?
- ◯×(◯+◯)+◯ = 177
- ◯²+(◯–◯)×◯ = 177
Answers can be found here.
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