The Main Challenge
Can you arrive at the target number 81 by using the five numbers 1, 2, 3, 4 and 5 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 3rd & 7th rows contain the following fourteen numbers:
4 11 13 24 25 27 30 36 42 45 66 70 77 80
List three pairs of numbers that each have a difference of 9.
The Lagrange Challenge
Lagrange’s Four-Square Theorem states that every integer can be made by adding up to four square numbers.
For example, 7 can be made by 2²+1²+1²+1² (4+1+1+1).
Show how you can make 155, in SIX different ways, when using Lagrange’s Theorem.
The Mathematically Possible Challenge
Using the three digits 3, 5 and 8 once each, with + – × ÷ available, which is the ONLY number it’s possible to make from the list below?
6 12 18 24 30 36 42 48 54 60
#6TimesTable
The Target Challenge
Can you arrive at 155 by inserting 3, 5, 10 and 11 into the gaps in each line below?
- ◯×◯×◯–◯ = 155
- ◯×◯+◯²×◯ = 155
Answers can be found here.
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