The Main Challenge
What is the 7th 2-digit whole number that is both a multiple of 5 AND contains the letter ‘F’ when written in English?
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 3rd & 6th rows contain the following fourteen numbers:
5 12 13 18 20 25 33 36 42 45 49 56 66 80
How many pairs of numbers have a difference of 24?
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 TWO ways of making 29 when using Lagrange’s Theorem. Can you find them both?
The Mathematically Possible Challenge
Using 2, 6 and 11 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?
5 10 15 20 25 30 35 40 45 50
#5TimesTable
The Target Challenge
Can you arrive at 29 by inserting 2, 3, 4 and 5 into the gaps on each line?
- (◯+◯)×◯+◯ = 29 (there are two ways)
- ◯×◯×◯+◯ = 29
- ◯²+◯×◯–◯ = 29
Answers can be found here.
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