T he Main Challenge
What is the sum of the multiples of 0.5 in the range 10 to 20 inclusive?
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 & 3rd rows contain the following fourteen numbers:
8 13 17 25 28 36 42 45 48 55 63 64 66 80
How many multiples of 3 are on the list?
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 FOUR ways of making 83 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 2, 3 and 11 once each, with + – × ÷ available, which is the ONLY number that is possible to make from the list below?
8 16 24 32 40 48 56 64 72 80
#8TimesTable
The Target Challenge
Can you arrive at 83 by inserting 2, 5, 8 and 9 into the gaps on each line?
- (◯+◯)×◯–◯ = 83 (2 different ways)
- ◯²+◯×◯+◯ = 83
- ((◯+◯)²–√◯)÷◯ = 83
Answers can be found here.
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