T he Main Challenge
The following clues are given to help you find a particular number:
- I am a 2-digit number
- my two digits have a difference of one
- I am a multiple of 7
- the number immediately below me is a prime number
Who am I?
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 1st & 4th rows of the playing board contain the following fourteen numbers:
2 3 9 10 14 15 22 32 35 40 44 54 60 72
How many multiples of 4 are listed?
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 SEVENTEEN different ways to make 250 when using Lagrange’s Theorem. How many can you find?
The Mathematically Possible Challenge
Using 5, 8 and 11 once each, with + – × ÷ available, which is the ONLY number it is 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 250 by inserting 5, 10, 15, 20 and 25 into the gaps below?
- ◯×◯–(◯²+◯+◯) = 250
Answers can be found here.
Click Paul Godding for details of online maths tuition.
