T he Main Challenge
Using the numbers 2, 3 and 3 once each, with + – × ÷ available, can you list the ELEVEN target answers from 1-20 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 & 2nd rows of the playing board contain the following fourteen numbers:
2 8 9 14 15 17 22 28 40 48 55 63 64 72
From the list, what is the total of the factors of 28?
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 different ways to make 212 when using Lagrange’s Theorem. How many can you find?
The Mathematically Possible Challenge
Using 4, 6 and 9 once each, with + – × ÷ available, which are the FIVE numbers it is possible to make from the list below?
3 6 9 12 15 18 21 24 27 30
#3TimesTable
The Target Challenge
Can you arrive at 212 by inserting 7, 9, 11 and 15 into the gaps on each line?
- ◯×◯+◯×◯ = 212
- ◯×double◯+◯–◯ = 212
Answers can be found here.
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