T he Main Challenge
Read the following facts:
- I am a 2-digit number,
- both my digits are odd,
- the sum of both digits is less than 10,
- my 1st digit is smaller than my 2nd digit, and
- I am a multiple of 3.
Which number am I?
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 3rd & 4th rows of the playing board contain the following fourteen numbers:
3 10 13 25 32 35 36 42 44 45 54 60 66 80
From the list, what is the sum of the 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 NINE different ways to make 219 when using Lagrange’s Theorem. How many can you find?
The Mathematically Possible Challenge
Using 4, 6 and 9 once each, with + – × ÷ available, which are the only TWO 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 219 by inserting 3, 4, 9 and 16 into the gaps on each line?
- (◯×◯+◯)×◯ = 219
- ◯²×◯–(◯+double◯) = 219
Answers can be found here.
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