T he Main Challenge
You’ve rolled the numbers 1, 3 and 3 with three dice. Using these once each, with + – × ÷ available, find the TWO target numbers from 1-10 that it is NOT possible to make.
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 5th & 6th rows of the playing board contain the following fourteen numbers:
5 6 7 12 16 18 20 21 33 49 50 56 81 84
What is the sum of the multiples of 5 on the list?
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 ELEVEN different ways to make 222 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 THREE numbers it is possible to make from the list below?
2 4 6 8 10 12 14 16 18 20
#EvenNumbers
The Target Challenge
Can you arrive at 222 by inserting 3, 5, 6 and 8 into the gaps on each line?
- (◯×◯–◯)×◯ = 222
- ◯³+◯+◯–◯ = 222
Answers can be found here.
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