T he Main Challenge
Using each of the decimal numbers 0.1, 0.2, 0.3 and 0.4 once only, and with the four arithmetical operations + – × ÷ available, show how you can 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 1st & 5th rows contain the following fourteen numbers:
2 6 7 9 14 15 16 21 22 40 50 72 81 84
What is the sum of the square numbers?
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 (4+1+1+1).
Show how you can make 157, in EIGHT different ways, when using Lagrange’s Theorem.
The Mathematically Possible Challenge
Using the three digits 3, 5 and 8 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?
8 16 24 32 40 48 56 64 72 80
#8TimesTable
The Target Challenge
Can you arrive at 157 by inserting 7, 8, 10 and 11 into the gaps below?
- ◯×◯+◯×◯ = 157
Answers can be found here.
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