The Main Challenge
Playing the superb American maths card game, 24game®, can be frustrating but very addictive when testing your arithmetical skills.
When using four numbers just once each, with + – × ÷ available, it is only possible to make 24 with only ONE of the seven groups of numbers below:
- 1 1 7 6
- 1 1 7 7
- 1 1 7 8
- 1 1 7 9
- 1 1 7 10
- 1 1 7 11
- 1 1 7 12
. . . but which one?
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 6th & 7th rows of the playing board contain the following fourteen numbers:
4 5 11 12 18 20 24 27 30 33 49 56 70 77
Which is the only cube number listed?
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 different ways to make 200 when using Lagrange’s Theorem. How many can you find?
The Mathematically Possible Challenge
Using 5, 7 and 11 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?
5 10 15 20 25 30 35 40 45 50
#5TimesTable
The Target Challenge
Can you arrive at 200 by inserting 10, 15, 25 and 30 into the gaps on each line?
- ◯×◯–◯×◯ = 200
- (◯–◯÷◯)×◯ = 200
Answers can be found here.
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