The Main Challenge
Find the sum of the numbers that remain after eliminating multiples of 3, 5 and 7 from all the odd numbers between 10 and 40.
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 & 6th rows contain the following fourteen numbers:
5 8 12 17 18 20 28 33 48 49 55 56 63 64
From the list, which three different numbers have a sum of 100?
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 150, in ELEVEN different ways, when using Lagrange’s Theorem.
The Mathematically Possible Challenge
Using the three digits 2, 6 and 9 once each, with + – × ÷ available, which TWO numbers is it possible to make from the list below?
1 8 27 64 125
#CubeNumbers
The Target Challenge
Can you arrive at 150 by inserting 10, 20, 25 and 30 into the gaps on each line?
- (◯+◯)×(◯–◯) = 150
- ◯×◯–double(◯+◯) = 150
Answers can be found here.
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