T he Main Challenge
Using all four decimal numbers 0.4, 0.8, 1.2 and 3.5 once each, and with + – × ÷ available, can you 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
What is the difference between the two prime numbers listed above?
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 is only ONE way of making 128 when using Lagrange’s Theorem. Can you find it?
The Mathematically Possible Challenge
Using 3, 6 and 10 once each, with + – × ÷ available, which THREE numbers is it possible to make from the list below?
3 6 9 12 15 18 21 24 27 30
#3TimesTable
The Target Challenge
Can you arrive at 128 by inserting 4, 8, 10 and 12 into the gaps on each line?
- ◯×◯+◯×◯ = 128
- ◯×◯+◯²–◯ = 128
- ◯⁴×◯÷(◯+◯) = 128
Answers can be found here.
Click Paul Godding for details of online maths tuition.