T he Main Challenge
Find the sum of all the numbers between 5 and 25 that are divisible by 3, 4 or 7.
The 7puzzle Challenge
The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from 2 up to 84.
The 2nd & 7th rows contain the following fourteen numbers:
4 8 11 17 24 27 28 30 48 55 63 64 70 77
Which number, when 4 is subtracted from it, becomes a multiple of 15?
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 (or 4+1+1+1).
Show how you can make 167, in FIVE different ways, when using Lagrange’s Theorem.
The Mathematically Possible Challenge
Using 4, 6 and 10 once each, with + – × ÷ available, which are the only TWO numbers it’s 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 167 by inserting 8, 9, 10 and 15 into the gaps on each line?
- ◯×◯+◯+◯ = 167
- ³√◯×◯²+◯–◯ = 167
Answers can be found here.
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