T he Main Challenge
Your task is to arrive at the target answer of 18 by using each of the four numbers 2, 6, 7 and 10 exactly once each, with + – × ÷ available. Can you find TWO ways of making 18?
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 6th & 7th rows contain the following fourteen numbers:
4 5 11 12 18 20 24 27 30 33 49 56 70 77
Which number, when 23 is added to it, becomes a square number?
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 FIVE ways of making 93 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 5, 7 and 10 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?
6 12 18 24 30 36 42 48 54 60
#6TimesTable
The Target Challenge
Can you arrive at 93 by inserting 3, 4, 6 and 11 into the gaps on each line?
- (◯+◯)×◯+◯ = 93
- ◯²–◯²–◯²–half◯ = 93
- ◯³+◯×◯+◯ = 93
Answers can be found here.
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