T he Main Challenge
You’ve rolled the numbers 4, 5 and 5 with three dice. Using these once each, with + – × ÷ available, find the only FOUR target numbers from 1-10 that it is possible to make.
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 2nd & 4th rows of the playing board contain the following fourteen numbers:
3 8 10 17 28 32 35 44 48 54 55 60 63 64
Which even number, when halved, becomes a cube number?
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 NINE different ways to make 235 when using Lagrange’s Theorem. How many of them can you find?
The Mathematically Possible Challenge
Using 2, 4 and 8 once each, with + – × ÷ available, which is the ONLY number that is NOT possible to make from the list below?
2 4 6 8 10 12 14 16 18 20
#EvenNumbers
The Target Challenge
Can you arrive at 235 by inserting 2, 4, 6, 8 and 10 into the gaps below?
- treble◯×◯–(◯+◯)÷◯ = 235
Answers can be found here.
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