The Main Challenge
Using the three numbers 4, 4 and 4 once each, with + – × ÷ available, there are just SIX target numbers from 1-30 that are mathematically possible to achieve. Can you find them?
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 3rd & 7th rows contain the following fourteen numbers:
4 11 13 24 25 27 30 36 42 45 66 70 77 80
Which number above 20, when 15 is subtracted from 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 153, in TEN different ways, when using Lagrange’s Theorem.
The Mathematically Possible Challenge
Using the three digits 3, 5 and 8 once each, with + – × ÷ available, which are the only TWO numbers it’s possible to make from the list below?
4 8 12 16 20 24 28 32 36 40
#4TimesTable
The Target Challenge
Can you arrive at 153 by inserting 3, 4, 6 and 7 into the gaps in each line below?
- (◯×◯–◯)×◯² = 153
- ◯+◯×treble(◯+◯) = 153
Answers can be found here.
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