T he Main Challenge
Find the sum of the following three numbers:
- twelve thousand and two
- thirty five thousand and thirty-five
- fifty five thousand, one hundred and fifty-five
Write your answer in words.
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
How many multiples of 9 are 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 FIVE ways of making 85 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?
10 20 30 40 50 60 70 80 90 100
#10TimesTable
The Target Challenge
Can you arrive at 85 by inserting 5, 10, 15 and 20 into the gaps on each line?
- ◯×◯+◯–◯ = 85
- ◯²+◯×(◯÷◯)² = 85
- (◯+◯÷◯)×◯ = 85
Answers can be found here.
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