The Main Challenge
Your task is to make the target number of 10 by adding together five numbers. You are limited to using 1 to 5, but these can be used any number of times in each sum.
One way to make 10 is 5+2+1+1+1 (or 52111); can you find the other FIVE ways?
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 5th & 6th rows contain the following fourteen numbers:
5 6 7 12 16 18 20 21 33 49 50 56 81 84
What is the sum of the multiples of 6?
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 just TWO ways of making 120 when using Lagrange’s Theorem. Can you find them both?
The Mathematically Possible Challenge
Using 2, 4 and 12 once each, with + – × ÷ available, which THREE numbers are NOT 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 120 by inserting 3, 4, 5 and 6 into the gaps on each line?
- (◯+√◯)×◯×◯ = 120
- (◯×◯)²×◯÷◯ = 120
- (double(◯+◯)²)×◯÷◯ = 120
Answers can be found here.
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