The Main Challenge
To solve this Octaplus puzzle, find the values of eight letters, A to H, from the given clues. Each letter contains a different whole number in the range 1-50:
- B minus E is either 14 or 15,
- C is one-quarter of B,
- F is one-seventh of E,
- D is half of B,
- G is H plus C,
- one-third of E is an odd number,
- H is one-third of D,
- A is 150 minus the sum of the other seven numbers.
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 2nd & 4th rows contain the following fourteen numbers:
3 8 10 17 28 32 35 44 48 54 55 60 63 64
How many square numbers are listed?
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 is only ONE way of making 23 when using Lagrange’s Theorem. Can you find it?
The Mathematically Possible Challenge
Using 5, 6 and 8 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?
30 31 32 33 34 35 36 37 38 39
#NumbersIn30s
The Target Challenge
Can you arrive at 23 by inserting 2, 3, 4 and 6 into the gaps on each line?
- ◯×◯+◯–◯ = 23
- (◯³–◯×◯)÷◯ = 23
- (◯²+◯)–(◯³+◯²) = 23
Answers can be found here.
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