T he Main Challenge
With the four arithmetical operations + – × ÷ available, use all four numbers 1, 1.5, 3 and 4 once each in your attempt to arrive at the target answer of 7.
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 & 4th rows contain the following fourteen numbers:
3 8 10 17 28 32 35 44 48 54 55 60 63 64
Which four different numbers from the above list have a sum of 100?
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 SEVEN ways of making 129 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 3, 6 and 10 once each, with + – × ÷ available, which SIX numbers is it possible to make from the list below?
4 8 12 16 20 24 28 32 36 40
#4TimesTable
The Target Challenge
Can you arrive at 129 by inserting 3, 8, 9 and 12 into the gaps on each line?
- ◯²+◯–◯×◯ = 129
- ◯×(◯+◯)–√◯ = 129
- double(◯²)+◯÷(◯+◯) = 129
Answers can be found here.
Click Paul Godding for details of online maths tuition.
