T he Main Challenge
Find the sum of the FIVE 2-digit numbers that are even, has digits adding up to more than 10 and are not multiples of 3, 4 or 7.
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
What is the sum of the factors of 36 listed above?
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 FIVE ways of making 52 when using Lagrange’s Theorem. Can you find them all?
The Mathematically Possible Challenge
Using 8, 9 and 10 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?
60 61 62 63 64 65 66 67 68 69
#NumbersIn60s
The Target Challenge
Can you arrive at 52 by inserting 4, 6, 8 and 9 into the gaps on each line?
- ◯×◯–◯÷◯ = 52
- ◯²–(◯+√◯×√◯) = 52
- ◯²+◯×(◯–◯)² = 52
- (√◯×◯+◯)×√◯ = 52
Answers can be found here.
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