T he Main Challenge
Can you place the numbers 0 1 1 2 2 3 3 4 6 6 7 and 7 into the 12 gaps below so that all three lines work out arithmetically?
◯ + ◯ = 2 = ◯ – ◯
◯ + ◯ = 9 = ◯ × ◯
◯ + ◯ = 7 = ◯ ÷ ◯
Click Mathelona for details of the above number puzzle if you want to try more!
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 6th & 7th rows contain the following fourteen numbers:
4 5 11 12 18 20 24 27 30 33 49 56 70 77
What is the sum of the factors of 60 in this 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 THREE ways of making 95 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 5, 7 and 10 once each, with + – × ÷ available, which is the ONLY number it 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 95 by inserting 2, 3, 4 and 5 into the gaps on each line?
- (◯³+◯²+√◯)×◯ = 95
- ◯²×◯–(◯+◯) = 95
- ◯⁴+◯×(◯+√◯) = 95
Answers can be found here.
Click Paul Godding for details of online maths tuition.
