The Main Challenge
When listing the first SEVEN 3-digit numbers that do not contain a 0, 1 or 2 as part of their number, what is the total of these listed numbers?
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 & 5th rows of the playing board contain the following fourteen numbers:
6 7 8 16 17 21 28 48 50 55 63 64 81 84
Which two numbers, when doubled, become square numbers?
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 NINE different ways to make 207 when using Lagrange’s Theorem. How many can you find?
The Mathematically Possible Challenge
Using 5, 7 and 11 once each, with + – × ÷ available, which are the only THREE numbers it is possible to make from the list below?
12 24 36 48 60 72 84 96 108 120
#12TimesTable
The Target Challenge
Can you arrive at 207 by inserting 3, 9, 10 and 11 into the gaps on each line?
- (◯×◯–◯)×◯ = 207
- (◯²–◯–double◯)×◯ = 207
Answers can be found here.
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