T he Main Challenge
Using each of the four numbers 0.8, 0.9, 1.5 and 5 once each, and with the four arithmetical operations + – × ÷ available to use, can you arrive at the target answer of 7?
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:
8 13 17 25 28 36 42 45 48 55 63 64 66 80
What is the sum of the prime numbers?
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 SEVEN ways of making 82 when using Lagrange’s Theorem. Can you find them all?
The Mathematically Possible Challenge
Using 2, 3 and 11 once each, with + – × ÷ available, which THREE numbers are 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 82 by inserting 1, 8, 9 and 10 into the gaps on each line?
- ◯×◯–◯×◯ = 82
- ◯²+◯+◯–◯ = 82
- ◯×◯+√◯–√◯ = 82
- ◯×◯×◯+◯ = 82
Answers can be found here.
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