T he Main Challenge
Here’s a challenging number trail question involving seven arithmetical steps. Start with the number 139, then:
–8 +103 decrease by 50% –37 +109 1/3 of this ÷7 = ?
What is your final answer?
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 & 4th rows of the playing board contain the following fourteen numbers:
2 3 9 10 14 15 22 32 35 40 44 54 60 72
How many pairs of numbers have a sum of 75?
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 TEN different ways to make 249 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 5, 8 and 11 once each, with + – × ÷ available, which are the only TWO 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 249 by inserting 1, 2, 3, 4 and 5 into the gaps below?
- (◯×◯◯÷◯)–√◯ = 249
Answers can be found here.
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