T he Main Challenge
Using the numbers 1, 4 and 6 once each with + – × ÷ available, list the SIX numbers that are mathematically possible to make in the range 20 to 30 inclusive.
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 & 5th rows contain the following fourteen numbers:
6 7 13 16 21 25 36 42 45 50 66 80 81 84
What is the sum of the factors of 100 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 FIVE ways of making 70 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 4, 6 and 12 once each, with + – × ÷ available, which TWO numbers is it possible to make from the list below?
7 14 21 28 35 42 49 56 63 70
#7TimesTable
The Target Challenge
Can you arrive at 70 by inserting 2, 5, 6 and 10 into the gaps on each line?
- ◯×◯+◯×◯ = 70
- ◯×◯+◯×◯² = 70
- (◯+◯)×◯–double◯ = 70
Answers can be found here.
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