The 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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