The Main Challenge
Can you arrive at the target answer of 24 by using the digits 2, 9, 13 and 13 exactly once each and with + – × ÷ available?
The 7puzzle Challenge
The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from 2 up to 84.
The 1st & 6th rows contain the following fourteen numbers:
2 5 9 12 14 15 18 20 22 33 40 49 56 72
Which three numbers, when each is multiplied by 4, have their answers on the 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 FIVE ways of making 74 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 4, 6 and 12 once each, with + – × ÷ available, which THREE numbers are not possible to make from the list below?
12 24 36 48 60 72 84 96 108 120
#12TimesTable
The Target Challenge
Can you arrive at 74 by inserting 4, 6, 7 and 8 into the gaps on each line?
- ◯×◯+◯×◯ = 74
- (◯+◯)×◯–◯² = 74
- (◯+◯)×◯+◯ = 74
Answers can be found here.
Click Paul Godding for details of online maths tuition.
