T he Main Challenge
Use all three numbers in each of the five groups below, with + – × ÷ available, to try and make the target of 23. But for one of the groups it is impossible, which one?
- 1 4 6
- 2 5 5
- 3 4 5
- 3 4 6
- 3 5 6
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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 & 7th rows of the playing board contain the following fourteen numbers:
2 4 9 11 14 15 22 24 27 30 40 70 72 77
Which three different numbers have a sum of 77?
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 THIRTEEN different ways to make 230 when using Lagrange’s Theorem. How many can you find?
The Mathematically Possible Challenge
Using 2, 4 and 8 once each, with + – × ÷ available, which is the ONLY number 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 230 by inserting 2, 3, 5, 6 and 7 into the gaps below?
- ◯×(◯+◯)²+◯×◯ = 230
Answers can be found here.
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