Th e Main Challenge
If you added together the first seven odd numbers that do not contain a 3, 5 or 7 as part of their number or are not multiples of 3, 5 or 7, what is your answer?
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 & 3rd rows of the playing board contain the following fourteen numbers:
2 9 13 14 15 22 25 36 40 42 45 66 72 80
What is the average of the three consecutive numbers 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 THIRTEEN different ways to make 202 when using Lagrange’s Theorem. How many can you find?
The Mathematically Possible Challenge
Using 5, 7 and 11 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?
7 14 21 28 35 42 49 56 63 70
#7TimesTable
The Target Challenge
Can you arrive at 202 by inserting 7, 8, 13 and 14 into the gaps on each line?
- ◯×◯+◯×◯ = 202
- ◯²+(◯–◯)²–double◯ = 202
Answers can be found here.
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