T he Main Challenge
From the numbers 1-20, eliminate all:
- square numbers
- prime numbers
- triangular numbers
- multiples of 6
Add together the numbers that remain; what is your total?
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 & 4th rows contain the following fourteen numbers:
2 3 9 10 14 15 22 32 35 40 44 54 60 72
From this list, what is the sum of the multiples of 8?
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 142 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using the three digits 2, 6 and 9 once each, with + – × ÷ available, which are the only TWO numbers it’s 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 142 by inserting 4, 9, 10 and 13 into the gaps on each line?
- ◯×◯+◯×◯ = 142
- ◯×◯+◯×√◯ = 142
Answers can be found here.
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