T he Main Challenge
Using each of the numbers 1.5, 2, 2.5 and 3 once each, and with the four arithmetical operations + – × ÷ available, can you arrive at the target answer of 7 in three different 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 2nd & 4th rows of the playing board contain the following fourteen numbers:
3 8 10 17 28 32 35 44 48 54 55 60 63 64
List three different numbers that 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 EIGHTEEN different ways to make 234 when using Lagrange’s Theorem. How many of them can you find?
The Mathematically Possible Challenge
Using 2, 4 and 8 once each, with + – × ÷ available, which THREE numbers is it possible to make from the list below?
1 8 27 64 125
#CubeNumbers
The Target Challenge
Can you arrive at 234 by inserting 2, 3, 6, 9 and 12 into the gaps on each line?
- (◯×(◯–◯)+◯)×◯ = 234
- (◯×◯÷◯+◯)×◯ = 234
Answers can be found here.
Click Paul Godding for details of online maths tuition.
