Class 8 Maths Part 1 Chapter 5 PDF: Number Play (Ganita Prakash)

Class 8 Maths Part 1 Chapter 5, Number Play, uses algebra, parity and remainders to explore sums of consecutive numbers, ‘Always, Sometimes, or Never’ conjectures, divisibility shortcuts for 3, 9 and 11, digital roots and cryptarithm puzzles.

What Class 8 Maths Chapter 5 Covers

5.1 Is This a Multiple Of? investigates sums of consecutive numbers, odd/even parity (‘Breaking Even’, ‘Pairs to Make Fours’) and algebraic expressions for remainders.

5.2 Checking Divisibility Quickly derives why the divisibility tests for 9, 3 and 11 work by expanding numbers in powers of 10, and introduces digital roots.

5.3 Digits in Disguise and Navakankari solves letter-for-digit cryptarithms and ends with the traditional Indian strategy board game Navakankari (Nine Men’s Morris).

Exercises in Chapter 5

  • Figure it Out exercise sets after each major section, with complete answer keys at the end of the chapter.

Read Class 8 Maths Chapter 5 Online

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FAQ

How do you test if a number is divisible by 11 in Chapter 5?
Find the difference between the sum of its digits in odd places and the sum of its digits in even places; if that difference is 0 or a multiple of 11, the number is divisible by 11.

What is a cryptarithm (‘Digits in Disguise’)?
An arithmetic puzzle in which digits are replaced by letters, where each letter stands for a unique digit.