T he Main Challenge
Using the numbers 2, 4 and 6 once each, with + – × ÷ available, find the SIX target numbers from the following list that are mathematically possible to make:
12 14 16 18 20 22 24 26 28 30
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 2nd & 6th rows contain the following fourteen numbers:
5 8 12 17 18 20 28 33 48 49 55 56 63 64
What is the sum of the cube numbers?
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 THREE ways of making 43 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 8, 9 and 10 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?
4 8 12 16 20 24 28 32 36 40
#4TimesTable
The Target Challenge
Can you arrive at 43 by inserting 4, 5, 8 and 9 into the gaps on each line?
- ◯×◯–◯÷◯ = 43
- ◯²+◯×(◯–◯) = 43
- (◯+◯)×◯–◯² = 43
- (◯×√◯×√◯)–◯ = 43
- (◯–√◯)×◯+◯ = 43
Answers can be found here.
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