The Main Challenge
Find the answer to this large number trail which involves fourteen arithmetical steps and includes fraction and percentage calculations.
Start with the number 11, then:
- double it
- 50% of this
- +50
- subtract thirty-five
- ÷2
- +37
- 3/5 of this
- +70
- –2%
- 1/2 of this
- +311
- subtract twenty
- add ten
- ÷7
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 1st & 7th rows contain the following fourteen numbers:
2 4 9 11 14 15 22 24 27 30 40 70 72 77
What is the difference between the highest multiples of 5 and 6?
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 only TWO ways of making 17 when using Lagrange’s Theorem. Can you find both?
The Mathematically Possible Challenge
Using 5, 6 and 8 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?
7 14 21 28 35 42 49 56 63 70
#7TimesTable
The Target Challenge
Can you arrive at 17 by inserting 2, 5, 6 and 6 into the gaps on each line?
- ◯²–√(◯×◯)–◯ = 17
- ◯²×◯÷◯+◯ = 17
- (◯÷◯+◯)×◯ = 17
Answers can be found here.
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