The Main Challenge
There is just one set of three consecutive numbers in ascending order whose sum is less than 50 and follow this sequence:
- square number – triangular number – prime number
Can you list this set of three numbers?
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 4th & 6th rows contain the following fourteen numbers:
3 5 10 12 18 20 32 33 35 44 49 54 56 60
Can you find FOUR groups, each group containing three different numbers, that all have a sum of exactly 100?
The Factors Challenge
Which of the following numbers are factors of 269?
3 5 7 9 11 13 None of them
[ Hint: Use the ‘bus stop’ method of division to see if any of the above numbers divide exactly into 269 ]
The Mathematically Possible Challenge
Using 3, 7 and 9 once each, with + – × ÷ available, which are the FIVE numbers it is 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 269 by inserting 2, 3, 5, 6 and 7 into the gaps below?
- (◯+◯+◯)²+(◯+◯)² = 269
Answers can be found here.
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