The Main Challenge
Starting with the number 7, complete the following sixteen arithmetic steps:
- multiply by ten
- 40 percent of this
- double it
- multiply the digits together
- increase by 20 percent
- divide by three
- increase by 50 percent
- one-third of this
- double it
- square it
- five-sixths of this
- decrease by 10 percent
- divide by three
- add thirty-nine
- increase by 20 percent
- seven-ninths of this
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 & 3rd rows of the playing board contain the following fourteen numbers:
2 9 13 14 15 22 25 36 40 42 45 66 72 80
What is the difference between the sum of the odd numbers and sum of the even numbers?
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 EIGHT different ways to make 203 when using Lagrange’s Theorem. How many can you find?
The Mathematically Possible Challenge
Using 5, 7 and 11 once each, with + – × ÷ available, which are the only THREE numbers it is 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 203 by inserting 3, 4, 7 and 8 into the gaps on each line?
- (◯×◯–◯)×◯ = 203
- (◯+◯)²–◯²–double◯ = 203
- ◯³–◯×(◯³+◯) = 203
Answers can be found here.
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