The Main Challenge
Try the following 20 steps in your head. Start with the number 12, then:
÷2 –1 ×5 –5 ×3 –6 ÷2 –3 ÷3 ×2
–10 +6 ×3 –6 ÷2 +3 ÷3 +2 –4 ×6 = ?
What is your final 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 5th & 7th rows contain the following fourteen numbers:
4 6 7 11 16 21 24 27 30 50 70 77 81 84
Which six numbers above can be made by adding two others from 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 TWO ways of making 35 when using Lagrange’s Theorem. Can you find both?
The Mathematically Possible Challenge
Using 2, 6 and 11 once each, with + – × ÷ available, which are the THREE numbers it is possible to make from the list below?
11 22 33 44 55 66 77 88 99 110
#11TimesTable
The Target Challenge
Can you arrive at 35 by inserting 3, 4, 5 and 8 into the gaps on each line?
- (◯+◯–◯)×◯ = 35
- (◯+◯)×◯+◯ = 35
- ◯³–◯×◯–◯ = 35
Answers can be found here.
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