T he Main Challenge
Follow these six steps:
- Work out the sum of 3 and 5,
- Calculate the difference between 3 and 5,
- Find the product of the two answers in Points 1 and 2,
- Find the square root to your answer in Point 3,
- Add the answer in Point 4 to your answer in Point 1,
- Subtract your answer in Point 2 from the answer in Point 5.
What is your answer after carrying out Point 6?
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 2nd & 3rd rows contain the following fourteen numbers:
8 13 17 25 28 36 42 45 48 55 63 64 66 80
Which pair of numbers have a difference of 49?
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 FIVE ways of making 84 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 2, 3 and 11 once each, with + – × ÷ available, which is the ONLY number that is possible to make from the list below?
9 18 27 36 45 54 63 72 81 90
#9TimesTable
The Target Challenge
Can you arrive at 84 by inserting 2, 3, 6 and 7 into the gaps on each line?
- (◯+◯)²+◯–◯² = 84
- (◯×◯+◯)×◯ = 84
- ((◯–◯)²–◯)×◯ = 84
Answers can be found here.
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