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Keywords: Starter | Arithmetic | Factors | Mental Methods | Mixed | Number Patterns
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This starter has scored a mean of 3.1 out of 5 based on 36 votes.
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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?
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Teacher, do your students have
access to computers? Do you have "Laptops in Lessons"? Whether your students each have a TabletPC or share a desktop PC, this activity lends itself to eLearning (Engaged Learning). |
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Students could use a spreadsheet to produce a list of abundant numbers.
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