T he Main Challenge
Can you place the 12 numbers 1 1 2 2 3 3 4 4 5 6 7 and 8 into the 12 gaps below so that all four equations 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 2nd & 4th rows contain the following fourteen numbers:
3 8 10 17 28 32 35 44 48 54 55 60 63 64
What is the difference between the sum of the multiples of 8 and the sum of the multiples of 7?
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 TEN ways of making 130 when using Lagrange’s Theorem. Can you find them all?
The Mathematically Possible Challenge
Using 3, 6 and 10 once each, with + – × ÷ available, which THREE numbers is it possible to make from the list below?
5 10 15 20 25 30 35 40 45 50
#5TimesTable
The Target Challenge
Can you arrive at 130 by inserting 2, 3, 5 and 10 into the gaps on each line?
- (◯+◯)×◯×◯ = 130
- (◯×◯–◯)×◯ = 130
- ◯²+◯²+◯²–◯² = 130
Answers can be found here.
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