T he Main Challenge
Can you place the numbers 1 2 3 4 5 6 8 9 10 11 12 and 13 into the 12 gaps below so all four lines work out arithmetically?
◯ + ◯ = ◯
◯ + ◯ = ◯
◯ + ◯ = ◯
◯ + ◯ = ◯
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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 3rd & 4th rows contain the following fourteen numbers:
3 10 13 25 32 35 36 42 44 45 54 60 66 80
List THREE different numbers that have a sum of 100.
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 EIGHT ways of making 114 when using Lagrange’s Theorem. Can you find them all?
The Mathematically Possible Challenge
Using 1, 4 and 9 once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?
30 31 32 33 34 35 36 37 38 39
#NumbersIn30s
The Target Challenge
Can you arrive at 114 by inserting 3, 6, 12 and 16 into the gaps on both lines?
- (◯+◯)×(◯–◯) = 114
- ◯²–◯×(◯–◯) = 114
Answers can be found here.
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