Th e Main Challenge
Instead of being numbered 1-12, a traditional clock had √1, √4, √9 … √144 around its circumference. Every digit is represented on the clock, except one.
What is the missing digit?
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 5th & 6th rows contain the following fourteen numbers:
5 6 7 12 16 18 20 21 33 49 50 56 81 84
What is the sum of the factors of 40 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 are SEVEN ways of making 118 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 2, 4 and 12 once each, with + – × ÷ available, which THREE numbers is it 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 118 by inserting 1, 2, 4 and 5 into the gaps on each line?
- ◯³+◯–◯×◯ = 118
- (◯³–◯×◯)×◯ = 118
Answers can be found here.
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