T he Main Challenge
Find the sum of the first SEVEN whole numbers that has a 3 or 5 as part of their number OR are multiples of 3 or 5.
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 1st & 7th rows contain the following fourteen numbers:
2 4 9 11 14 15 22 24 27 30 40 70 72 77
What is the difference between the highest and lowest multiples of 10?
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 EIGHT ways of making 122 when using Lagrange’s Theorem. Can you find them all?
The Mathematically Possible Challenge
Using 2, 4 and 12 once each, with + – × ÷ available, which FOUR numbers is it 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 122 by inserting 2, 4, 7 and 10 into the gaps on each line?
- ◯²+◯×(◯+◯) = 122
- (◯+◯)²–double(◯+◯) = 122
- ◯⁴÷◯+double(◯–◯) = 122
Answers can be found here.
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