Ganita Prakash Class 8 Chapter 5 Solutions

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Maths Class 8 Maths 100 views Jun 19, 2026 Reviewed & updated Oct 01, 2026
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Class 8 Ganita Prakash Chapter 5 Solutions

Class 8 Maths Ganita Prakash Part 1 Chapter 5 Solutions

  1. Explore these questions and any others that may occur to you. Discuss them with the class. Class 8
  2. Now, take four other consecutive numbers. Place' the '+' and ‘-’ signs as you have done before. Find out the results Class 8
  3. Do these patterns occur no matter which 4 consecutive numbers are chosen? Is there a way Class 8
  4. Is there a way to explain why this happens? Think of the rules for parity Class 8
  5. Is the phenomenon of all the expressions having the same parity limited to taking 4 numbers? What do you think? Class 8
  6. Similarly, determine and explain which of the other expressions always give even numbers. Write a couple of examples Class 8
  7. Examine each of the following statements, and determine whether it is ‘Always true’, ‘Sometime's true’, ‘Never true’. Class 8
  8. Find a number that has a remainder of 3 when divided by 5. Write more such numbers. Class 8
  9. The sum of four consecutive numbers is 34. What are these numbers? Class 8
  10. For each statement below, determine whether it is always true, sometimes true, or never true. Explain your answer. Class 8
  11. Find a few numbers that leave a remainder of 2 when divided by 3 and a remainder of 2 when divided by 4. Class 8
  12. “I hold some pebbles, not too many, When I group them in 3’s, one stays with me. Class 8
  13. When divided by 7, the number 661 leaves a remainder of 3, and 4779 leaves a remainder of 5. Without calculating Class 8
  14. Find a number that leaves a remainder of 2 when divided by 3, a remainder of 3 when divided by 4 Class 8
  15. Find, without dividing, whether the following numbers are divisible by 9. Class 8
  16. Find the multiple of 9 that is closest to the number 6000. Class 8
  17. Explore the remainders when powers of 10 are divided by 3. Explain why this method works. Class 8
  18. What could be a general method or shortcut to check divisibility by 11? Class 8
  19. Using this shortcut, find out whether the following numbers are divisible by 11. Further, find the remainder Class 8
  20. Fill in the following table. Find a quick way to do this? Class 8
  21. Will checking its divisibility by its factors 2 and 3 work? Use the shortcuts for 2 and 3 on these numbers Class 8
  22. Between the numbers 600 and 700, which numbers have the digital root : (i) 5 (ii) 7 (iii) 3 Class 8
  23. Now, find the digital roots of some consecutive multiples of (i) 3, (ii) 4, and (iii) 6. Class 8
  24. What are the digital roots of numbers that are 1 more than a multiple of 6? What do you notice? Try to explain the patterns noticed. Class 8
  25. I'm made of digits, each tiniest and odd, No shared ground with root #1 — how odd! Class 8
  26. Write any number. Generate a sequence of numbers by repeatedly adding 11, What would be the digital roots Class 8
  27. Make conjectures by examining if there are any patterns or relations between the parity of a number Class 8
  28. Solve the cryptarithms given below. Let us now try solving some cryptarithms Class 8
  29. Solve the following: (i) UT × 3 = PUT (ii) AB × 5 = BC (iii) L2N × 2 = 2NP (iv) XY × 4 = ZX Class 8
  30. If 31z5 is a multiple of 9, where z is a digit, what is the value of 2? Explain why there are two answers to this problem. Class 8
  31. When is the sum of two multiples of 3, a multiple of 6 and when is it not? Explain the different Class 8
  32. If 48a236 is a multiple of 18, list all possible pairs of values for a and 6. Class 8
  33. If 3p7q8 is divisible by 44, list all possible pairs of values for p and q. Class 8
  34. Find three consecutive numbers such that the first number is a multiple of 2, the second number Class 8
  35. The middle number in the sequence of 5 consecutive even numbers is 5p. Express the other Class 8
  36. Determine whether the statements below are ‘Always True’, ‘Sometimes True’, or ‘Never True’. Explain your reasoning. Class 8
  37. Choose any 3 numbers. When is their sum divisible by 3? Explore all possible cases and generalise. Class 8
  38. Solve the cryptarithms — (i) EF × E = GGG (ii) WOW × 5 = OEOW Class 8
  39. Number Play Class 8 Notes
  40. Number Play Class 8 MCQ
  41. Number Play Class 8 Assertion and Reasoning Questions
  42. Number Play Class 8 Fill in the blanks
  43. Number Play Class 8 Very Short Question Answer
  44. Number Play Class 8 Short Question Answer
  45. Number Play Class 8 Long Question Answer

Ganita Prakash Class 8 Part 1 Solutions

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