T he Main Challenge
You must make all three lines work out arithmetically by inserting the twelve digits 0 1 1 2 2 3 4 4 5 6 8 and 8 into the gaps below:
◯ + ◯ = 6 = ◯ – ◯
◯ + ◯ = 8 = ◯ × ◯
◯ + ◯ = 2 = ◯ ÷ ◯
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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 1st & 6th rows contain the following fourteen numbers:
2 5 9 12 14 15 18 20 22 33 40 49 56 72
List two sets of three different numbers that both have a total of 77.
The Lagrange Challenge
Lagrange’s Four-Square Theorem states that every 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).
Show how you can make 179, in SIX different ways, when using Lagrange’s Theorem.
The Mathematically Possible Challenge
Using 3, 6 and 12 once each, with + – × ÷ available, which THREE target numbers 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 179 by inserting 5, 6, 7 and 22 into the gaps on each line?
- (◯+◯)×◯+◯ = 179
- (half◯)²+10×◯+◯–◯ = 179
Answers can be found here.
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