The Main Challenge
Here’s a crafty Mathelona-style challenge where your task is to make all three lines work out arithmetically when placing digits from 0 to 5 into the 12 gaps, with each digit being inserted exactly TWICE:
◯ + ◯ = 0 = ◯ – ◯
◯ + ◯ = 8 = ◯ × ◯
◯ – ◯ = 2 = ◯ ÷ ◯
Details of our pocket book challenges can be found by clicking Mathelona.
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 4th & 6th rows contain the following fourteen numbers:
3 5 10 12 18 20 32 33 35 44 49 54 56 60
What is the sum of the multiples of 10?
The Factors Challenge
Which of the following numbers are factors of 270?
5 10 15 20 25 30 35 40 45 50
The Mathematically Possible Challenge
Using 3, 7 and 9 once each, with + – × ÷ available, which is the ONLY number it is possible to make from the list below?
11 22 33 44 55 66 77 88 99 110
#11TimesTable
The Target Challenge
Can you arrive at 270 by inserting 3, 5, 6, 9 and 10 into the gaps on each line?
- (◯×◯×◯)÷(◯–◯) = 270
- (◯+◯+◯)×(◯+◯) = 270
- (◯×◯–◯÷◯)×◯ = 270
Answers can be found here.
Click Paul Godding for details of online maths tuition.
