Topics: Starter | Arithmetic

• Vanessa Howe, howesvc@aol.com
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• What is the answer to November ☆ ths starter of the day?
• Sarah, Newcastle
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• Its ☆ ☆ ☆ / ☆ ☆ . I used it today before i did "changing recurring decimals into fractions Y ☆ ☆ MOD ☆ .
• David Gee, Notting Hill Prep School
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• The numbers are ☆ ☆ divided by ☆ ☆ ( ☆ ☆ ☆ / ☆ ☆ cancelled down). The clue is in the recurring decimal - a two digit cycle ☆ ☆ ☆ ☆ ☆ ☆ ... for ☆ / ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ... for ☆ / ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ... for ☆ / ☆ ☆ . Elevenths as decimals have two digit cycles of the multiples of nine.
• David Gee, Notting Hill
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• Sorry, typo in cut and paste! ☆ / ☆ ☆ is ☆ . ☆ ☆ ☆ ☆ ☆ ☆ ( ☆ x ☆ ) ☆ / ☆ ☆ ☆ . ☆ ☆ ☆ ☆ ☆ ☆ ( ☆ x ☆ )
  ☆ / ☆ ☆ ☆ . ☆ ☆ ☆ ☆ ☆ ☆ ( ☆ x ☆ ).
• Jacob, Swavesey Village Collge
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• Jacob Savage in year ☆ from Swavesey Village college also noticed that these two numbers worked.....
  ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ / ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ .
• Declan, Liverpool
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• The solution is simply incorrect. The the average was exactly ☆ . ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ , then he would have ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ in ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ . However, ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ is prime and this fraction does not simplify. The answer is ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ flies in ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ minutes. The proposed solution: ☆ ☆ flies in ☆ ☆ minutes is incorrect because ☆ ☆ / ☆ ☆ ≠ ☆ . ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ . In fact ☆ ☆ / ☆ ☆ has an infinite decimal expansion of the form ☆ . ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ☆ ....
• 5/6A, SAHPS
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• We the students in ☆ / ☆ A at SAHPS found this one challenging but we came up with an original solution. Yeah ! That was fun!
• P Rudd, Glan-y-Mor Comprehensive
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• The answer ☆ ☆ / ☆ ☆ is correct because it says using a standard calculator, which is why only the first ☆ ☆ digits of the answer is shown. Great question as many younger students believe an answer containing so many decimal places must be wrong!
  Thanks Transum.
• Benjamin Garrett, Watford
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• WOW What a starter- it took us ages to work it out!
• Vicky, Stoke Fleming
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• Help- my class still haven't managed it? Help.
• Larry, Math Teacher
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• ☆ . ☆ ☆ ☆ ☆ ☆ ☆ ...is a recurring simple fraction so it would be ☆ whole and ☆ / ☆ ☆ as you have ☆ digits for the repeating period Then you simplify by ☆ and get ☆ whole and ☆ / ☆ ☆ . When you convert the mixed into an improper fraction you get ☆ ☆ / ☆ ☆ . That means ☆ ☆ flies every ☆ ☆ minutes. Hope that helps!

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