Counter
Mathematics Dictionary
Dr. K. G. Shih
Recreation Methematics
Subjects

Answers


Q01. Magic square formed by numbers from 1 to 16

Method
 Exercise
  • Sum numbers along each row.
  • Sum numbers along each column.
  • Sum numbers along each diagonal.

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Q02. Magic circle formed by numbers from 1 to 33
Method
 Exercise
  • Sum numbers along each circle.
  • Sum numbers along each diameter (exclusive 9).

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Q03. Magic square formed by numbers from 1 to (2*n+1)^2

Method
 Exercise
  • Make magic square using numbers from 1 to 9.
  • Sum numbers along each row.
  • Sum numbers along each column.
  • Sum numbers along each diagonal.

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Q04. Amicalbe number pairs

Study Topic
 Exercise
  • 1. n1 and n2 are amicable pairs, if n1 = 220, find n2.
  • 2. n1 and n2 are amicable pairs, if n1 = 1184, find n2.
  • 3. Who discovered amicable pairs ?

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Q05. Perfect numbers

Study Topic
 Exercise
  • Prove that 28 is the second perfect number ?
  • Use properties of perfect numbers to find the 3rd perfect number.
  • Use properties of perfect numbers to find the 4th perfect number.

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Q06. Find the day of week using week day index table
  • It needs to know quotient and remainder in division.
  • Examples are given in Q02.
  • Week day index is given in Q03.

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Q07. Squares in squares
 Squares can be traced from the diagram
  • 1^2 : 01 square contains 25 small squares
  • 2^2 : 04 squares and each contains 16 small squares
  • 3^2 : 09 squares and each contains 09 small squares
  • 4^2 : 16 squares and each contains 04 small squares
  • 5^2 : 25 squares and each contains 01 small squares

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Q08. Answer

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Q09. Answer

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Q10. Answer

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