T he Main Challenge
By using the four numbers 0.5, 2, 2 and 2 exactly once each, can you arrive at the target answer of 7 with the four arithmetical operations + – × ÷ available to use?
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 1st & 2nd rows of the playing board contain the following fourteen numbers:
2 8 9 14 15 17 22 28 40 48 55 63 64 72
From the list, find 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 SEVEN different ways to make 215 when using Lagrange’s Theorem. How many can you find?
The Mathematically Possible Challenge
Using 4, 6 and 9 once each, with + – × ÷ available, which are the SIX numbers 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 215 by inserting 4, 15, 20 and 40 into the gaps on each line?
- ◯×◯+◯+double◯ = 215
- (◯×◯)÷◯+◯ = 215
- quarter(◯×◯+◯×◯) = 215
Answers can be found here.
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