Th e Main Challenge
Using the numbers 3, 6 and 10 once in each calculation, together with addition and subtraction, find the only FOUR numbers from 1-30 that are mathematically possible to achieve.
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 1st & 3rd rows of the playing board contain the following fourteen numbers:
2 9 13 14 15 22 25 36 40 42 45 66 72 80
What is the sum of the multiples of 7 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 TEN different ways to make 201 when using Lagrange’s Theorem. How many can you find?
The Mathematically Possible Challenge
Using 5, 7 and 11 once each, with + – × ÷ available, which are the only THREE numbers it is 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 201 by inserting 3, 5, 8 and 9 into the gaps on each line?
- (◯×◯–◯)×◯ = 201
- (◯+◯)²+◯–◯ = 201
Answers can be found here.
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