Th e Main Challenge
Can you place the 12 numbers 1 1 2 2 3 3 4 5 6 7 8 and 10 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 5th & 6th rows contain the following fourteen numbers:
5 6 7 12 16 18 20 21 33 49 50 56 81 84
Which four different numbers 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 117 when using Lagrange’s Theorem. Can you find them all?
The Mathematically Possible Challenge
Using 2, 4 and 12 once each, with + – × ÷ available, which FIVE 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 117 by inserting 3, 6, 9 and 12 into the gaps on each line?
- ◯×◯+◯+◯ = 117
- ◯²+◯×(◯–◯) = 117 (2 different ways!)
Answers can be found here.
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