T he Main Challenge
Allocate each letter of the English alphabet a numerical value, A=1 B=2 C=3 . . . Z=26. When adding the individual letters, find the total value of these four important words:
- KNOWLEDGE
- HARD WORK
- RESILIENCE
- ATTITUDE
If these were percentage values, there is a message for students here!
The 7puzzle Challenge
The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from 2 up to 84.
The 1st & 6th rows contain the following fourteen numbers:
2 5 9 12 14 15 18 20 22 33 40 49 56 72
Which six numbers listed can each be made by adding three 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 71 when using Lagrange’s Theorem. Can you find both?
The Mathematically Possible Challenge
Using 4, 6 and 12 once each, with + – × ÷ available, which FOUR numbers is it possible to make from the list below?
8 16 24 32 40 48 56 64 72 80
#8TimesTable
The Target Challenge
Can you arrive at 71 by inserting 3, 5, 7 and 9 into the gaps on each line?
- ◯×◯+◯+◯ = 71
- ◯²+◯×◯–◯ = 71
- (◯+◯)×◯–◯² = 71
Answers can be found here.
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