T he Main Challenge
Can you make all three lines work out arithmetically by placing the numbers 1 2 3 4 5 6 10 11 and 12 into the nine gaps below?
◯ + ◯ = ◯
◯ + ◯ = ◯
◯ + ◯ = ◯
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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 & 5th rows contain the following fourteen numbers:
2 6 7 9 14 15 16 21 22 40 50 72 81 84
Which number, when 10 is added to it, becomes a multiple of 7?
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 (4+1+1+1).
Show how you can make 159, in SIX different ways, when using Lagrange’s Theorem.
The Mathematically Possible Challenge
Using the three digits 3, 5 and 8 once each, with + – × ÷ available, which is the ONLY number it’s possible to make from the list below?
10 20 30 40 50 60 70 80 90 100
#10TimesTable
The Target Challenge
Can you arrive at 159 by inserting 1, 4, 6 and 10 into the gaps on each line?
- (◯+◯)²–(◯²+◯²) = 159
- ◯³+◯²+◯–◯ = 159
Answers can be found here.
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