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.
Topics: Starter | Arithmetic | Factors | Mental Methods | Mixed | Number
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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?
Imagine you are the driver of a bus that begins its route with twelve passengers.
At the first stop one person gets off the bus and five people get on.
At the second stop two people get off the bus and seven people get on.
At the third stop nine people get off the bus and six people get on.
At the fourth stop one third of the passengers get off.
What is the name of the bus driver?
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Teacher, do your students have access to computers such as tablets, iPads or Laptops? This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments:
However it would be better to assign one of the student interactive activities below.
Here is the URL which will take them to a great game which reinforces similar numeracy skills.
See the National Curriculum page for links to related online activities and resources.