T he Main Challenge
Three UNIQUE digits from 1-9 must be used to arrive at today’s target number, 19, by multiplying two numbers together and either adding or subtracting the third number.
One way to make 19 is (7×2)+5, can you find the other THIRTEEN ways?
[Note: (7×2)+5 = 19 and (2×7)+5 = 19 counts as just ONE way.]
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 3rd & 6th rows of the playing board contain the following fourteen numbers:
5 12 13 18 20 25 33 36 42 45 49 56 66 80
What is the sum of the multiples of 5 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 SIX different ways to make 239 when using Lagrange’s Theorem. How many of them can you find?
The Mathematically Possible Challenge
Using 2, 5 and 10 once each, with + – × ÷ available, which are the only THREE numbers it is possible to make from the list below?
6 12 18 24 30 36 42 48 54 60
#6TimesTable
The Target Challenge
Can you arrive at 239 by inserting 1, 2, 3, 5 and 6 into the gaps below?
- (◯+◯)²×◯–◯×◯ = 239
Answers can be found here.
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