T he Main Challenge
Here’s a 10-step number trail involving all four arithmetical operations together with the numbers 1, 2 and 3.
Starting with 10, carry out the following steps:
- add 2
- ×1
- ÷3
- –2
- multiply by 3
- +1
- subtract 3
- divide by 1
- ×2
- take away two
What is your final 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 1st & 5th rows contain the following fourteen numbers:
2 6 7 9 14 15 16 21 22 40 50 72 81 84
Find two separate pairs of numbers that each have a difference of 44.
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 (4+1+1+1).
Show how you can make 158, in SIX different ways, when using Lagrange’s Theorem.
The Mathematically Possible Challenge
Using the three digits 3, 5 and 8 once each, with + – × ÷ available, which is the ONLY number it’s possible to make from the list below?
9 18 27 36 45 54 63 72 81 90
#9TimesTable
The Target Challenge
Can you arrive at 158 by inserting 7, 8, 10 and 11 into the gaps below?
- ◯×◯+◯×◯ = 158
Answers can be found here.
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