Enyoy doing mathematics with every bus number you see.
14
14
ChallengeEach 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! [Choose this] 
GamePlayer 1 doubles the bus number. Whoever gets the largest total wins. Play the game with a friend. [Choose this] 
DrillEach time a bus comes into view the teacher gives an instruction such as: "Write down the fifth multiple of this bus number." [Choose this] 
AddictiveKeep 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] 
Topics: Starter  Arithmetic  Factors  Mental Methods  Mixed  Number
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Previous Day  This starter is for 28 April  Next Day
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?
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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