T he Main Challenge
What is the lowest whole number that is NOT a multiple of 5, 6, 7, 11 or 13, nor a prime number, square number or cube number?
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 & 6th rows contain the following fourteen numbers:
5 8 12 17 18 20 28 33 48 49 55 56 63 64
From the above list, what is the sum of the multiples of 7?
The Lagrange Challenge
Lagrange’s Four-Square Theorem states that every integer can be made by adding up to four square numbers.
For example, 7 can be made by 2²+1²+1²+1² (4+1+1+1).
Show how you can make 148, in EIGHT different ways, when using Lagrange’s Theorem.
The Mathematically Possible Challenge
Using the three digits 2, 6 and 9 once each, with + – × ÷ available, which is the ONLY number it’s possible to make from the list below?
11 22 33 44 55 66 77 88 99 110
#11TimesTable
The Target Challenge
Can you arrive at 148 by inserting 4, 5, 12 and 20 into the gaps on each line?
- (◯+◯+◯)×◯ = 148
- ◯×◯+◯×◯ = 148
Answers can be found here.
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