T he Main Challenge
Can you arrive at the target answer of 7 by using each of the numbers 0.2, 0.5, 2 and 2.5 exactly once each, and with + – × ÷ available?
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
What is the sum of the factors of 36?
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 178, in TWELVE different ways, when using Lagrange’s Theorem.
The Mathematically Possible Challenge
Using 3, 6 and 12 once each, with + – × ÷ available, which SEVEN target numbers from the list below can be made?
6 12 18 24 30 36 42 48 54 60
#6TimesTable
The Target Challenge
Can you arrive at 178 by inserting 10, 11, 16 and 20 into the gaps on each line?
- ◯×◯+◯÷◯ = 178
- ◯×◯+double(◯–◯) = 178
Answers can be found here.
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