T he Main Challenge
Start with the number 50, then:
+27 –42 divide by 5 ×4 +50% two-thirds of this ÷7 = ?
What is your final answer to this 7-step number trail?
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 & 4th rows contain the following fourteen numbers:
2 3 9 10 14 15 22 32 35 40 44 54 60 72
What is the difference between the highest odd number and lowest multiple of 11?
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 143 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using the three digits 2, 6 and 9 once each, with + – × ÷ available, which are the SIX numbers it is possible to make from the list below?
6 12 18 24 30 36 42 48 54 60
#6TimesTable
The Target Challenge
Can you arrive at 143 by inserting 3, 4, 7 and 10 into the gaps on each line?
- (◯+◯)×(◯+◯) = 143
- ◯³–◯²×double(◯–◯) = 143
Answers can be found here.
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