T he Main Challenge
Your task is to arrive at the target answer of 7 when using each of the numbers 0.7, 2, 7 and 10 exactly once each, 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 4th & 7th rows contain the following fourteen numbers:
3 4 10 11 24 27 30 32 35 44 54 60 70 77
How many multiples of 3 are present?
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 185, in NINE different ways, when using Lagrange’s Theorem.
The Mathematically Possible Challenge
Using 3, 6 and 12 once each, with + – × ÷ available, which SEVEN numbers is it possible to make from the list below?
1 3 6 10 15 21 28 36 45 55 66
#TriangularNumbers
The Target Challenge
Can you arrive at 185 by inserting 5, 15, 20 and 30 into the gaps on each line?
- ◯+◯×◯+◯ = 185
- ◯×(◯–◯)–half◯ = 185
Answers can be found here.
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