T he Main Challenge
Can you insert the numbers 1-9, exactly once each, into the gaps below so that all three lines work out arithmetically?
◯ + ◯ = ◯
◯ – ◯ = ◯
◯ ÷ ◯ = ◯
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 2nd & 3rd rows contain the following fourteen numbers:
8 13 17 25 28 36 42 45 48 55 63 64 66 80
Which number, when 20 is added to it, becomes a square number?
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 (or 4+1+1+1).
Show how you can make 189, in ELEVEN different ways, when using Lagrange’s Theorem.
The Mathematically Possible Challenge
Using 3, 4 and 12 once each, with + – × ÷ available, which SIX numbers is it 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 189 by inserting 3, 4, 5 and 7 into the gaps on each line?
- ◯×◯×(◯+◯) = 189
- (◯+◯–◯)³+◯³ = 189
Answers can be found here.
Click Paul Godding for details of online maths tuition.
