Abundant Buses

Two players play a game with every bus number they see.

Abundent Bus

14

Abundent Bus

14

Player 1 doubles the bus number. Player 2 adds up its factors.

Whoever gets the largest total wins.     Play the game with a friend.

A Mathematics Lesson Starter Of The Day


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Topics: Starter | Arithmetic | Factors | Mental Methods | Mixed | Number

  • J F, Soar Valley Leicester
  •  
  • Used this to introduce perfect numbers much more effective than last months version of same topic. it also gave us the opportunity to revise factor trees , rules of divisibility etc
    great .
    Worked well with both year 7 and year 8.
  • Transum,
  •  
  • This could also, of course, be an individual activity in which pupils make a table for the bus numbers, the double and the sum of the factors and fill it in as the numbers appear. Notice there is the option for a 'static' version of this starter which gives the teacher complete control over the time each bus number is on screen. Alternatively the teacher could use the freeze button on the projector remote control to dwell longer on more interesting bus numbers.

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
Click here to enter your comments.

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Didn't really capture the interest of the students
Not for me! I wouldn't use this type of activity.

This starter has scored a mean of 3.0 out of 5 based on 108 votes.


Previous Day | This starter is for 28 April | Next Day

Answers

Bus
Number
Double Factors Sum of Factors Winner
1 2 1 1 Player 1
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?

List of solutions up to 1000

Extension

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.

What is the name of the bus driver?


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Laptops In Lessons

Teacher, do your students have access to computers?
Do they have iPads or Laptops in Lessons?

Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Laptops In Lessons

Here a concise URL for a version of this page without the comments.

Transum.org/go/?Start=April28

Here is the URL which will take them to a student activity involving factors.

Transum.org/go/?to=Satisfaction

 

 


Extension Answer

Apple

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