T he Main Challenge
Here’s another 10-step question involving all four arithmetic operations and all numbers from 1 to 10.
Start with the number 28, then:
- divide by four
- multiply by six
- subtract two
- add five
- divide by nine
- multiply by one
- add ten
- divide by three
- add eight
- subtract seven
What is your answer?
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
What is the difference between the sum of the multiples of 11 and the sum of the prime numbers?
The Lagrange Challenge
Lagrange’s Four-Square Theorem states that every 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).
Show how you can make 186, in NINE different ways, when using Lagrange’s Theorem.
The Mathematically Possible Challenge
Using 3, 6 and 12 once each, with + – × ÷ available, which THREE numbers is it possible to make from the list below?
2 3 5 7 11 13 17 19 23 29
#PrimeNumbers
The Target Challenge
Can you arrive at 186 by inserting 3, 4, 6 and 9 into the gaps on each line?
- (◯×◯+◯)×◯ = 186
- (◯×◯+double◯)×◯ = 186
Answers can be found here.
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