The Main Challenge
Another mini-Mathelona challenge where your task is to correctly place the eight digits 1 1 1 2 2 3 4 and 5 into the eight gaps so both lines work out arithmetically:
◯ + ◯ = 3 = ◯ – ◯
◯ + ◯ = 4 = ◯ × ◯
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The 7puzzle Challenge
The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.
The 1st & 4th rows contain the following fourteen numbers:
2 3 9 10 14 15 22 32 35 40 44 54 60 72
Which five numbers listed can be made by adding two others from the list?
The Lagrange Challenge
Lagrange’s Four-Square Theorem states that every positive 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).
There are FOUR ways of making 144 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using the three digits 2, 6 and 9 once each, with + – × ÷ available, which are the only THREE numbers it’s possible to make from the list below?
7 14 21 28 35 42 49 56 63 70
#7TimesTable
The Target Challenge
Can you arrive at 144 by inserting 4, 6, 9 and 12 into the gaps on each line?
- ◯×◯×(◯–◯) = 144
- ◯×◯×double(◯–◯) = 144
- ◯×◯×(◯÷◯)² = 144
- ◯²×(◯+◯–◯) = 144 (2 different ways!)
- ◯×◯+treble(◯×√◯) = 144
Answers can be found here.
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