Abundant Buses

Enyoy doing mathematics with every bus number you see.

Abundent Bus

14

Abundent Bus

14

Challenge

Each time a bus comes into view write down the following about the bus number:

Double it, halve it, square it
then write down its factors.

The challenge is to do all of this before the next bus appears!

[Choose this]

Game

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

Whoever gets the largest total wins.

Play the game with a friend.

[Choose this]

Drill

Each time a bus comes into view the teacher gives an instruction such as:

"Write down the fifth multiple of this bus number."
"Write down the square root of this bus number."
"Write down one tenth of this bus number."
"Subtract this bus number from one."

[Choose this]

Add-ictive

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.

[Choose this]

A Mathematics Lesson Starter Of The Day

Starter of The Day Transum Mathematics Topics


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.

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.

At the fourth stop one third of the passengers get off.

What is the name of the bus driver?
Laptops In Lessons

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:

Transum.org/go/?Start=April28

However it would be better to assign one of the student interactive activities below.

Laptops In Lessons

Here is the URL which will take them to a great game which reinforces similar numeracy skills.

Transum.org/go/?to=remainder

Student Activity

Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Extension Answer

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