Enyoy doing mathematics with every bus number you see.
Each time a bus comes into view write down the following about the bus number:
Double it, halve it, square it
The challenge is to do all of this before the next bus appears!
Player 1 doubles the bus number.
Whoever gets the largest total wins.
Play the game with a friend.
Each time a bus comes into view the teacher gives an instruction such as:
"Write down the fifth multiple of this bus number."
Keep a running total of the bus numbers in your head!
Stand up as soon as the total exceeds 100 or is equal to a square number.
Do it in silence or chant the totals together.
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|Double||Factors||Sum of Factors||Winner|
|2||4||1 2||3||Player 1|
|3||6||1 3||4||Player 1|
|4||8||1 2 4||7||Player 1|
|5||10||1 5||6||Player 1|
|6||12||1 2 3 6||12||Draw|
|7||14||1 7||8||Player 1|
|8||16||1 2 4 8||15||Player 1|
|9||18||1 3 9||13||Player 1|
|10||20||1 2 5 10||18||Player 1|
|11||22||1 11||12||Player 1|
|12||24||1 2 3 4 6 12||28||Player 2|
|13||26||1 13||14||Player 1|
|14||28||1 2 7 14||24||Player 1|
|15||30||1 3 5 15||24||Player 1|
|16||32||1 2 4 8 16||31||Player 1|
|17||34||1 17||18||Player 1|
|18||36||1 2 3 6 9 18||39||Player 2|
|19||38||1 19||20||Player 1|
|20||40||1 2 4 5 10 20||42||Player 2|
|21||42||1 3 7 21||32||Player 1|
|22||44||1 2 11 22||36||Player 1|
|23||46||1 23||24||Player 1|
|24||48||1 2 3 4 6 8 12 24||60||Player 2|
|25||50||1 5 25||31||Player 1|
It is better to be Player 1! It is much easier to double a number than work out the factors and add them up and as you can see Player 1 is more likely to win.
Player 2 will only win when the bus number is an "abundant number". What is the next abundant number after 24?
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Teacher, do your students have
access to computers?
Here a concise URL for a version of this page without the comments.
Here is the URL which will take them to a student activity involving factors.