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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 141 · 40 sums
TalentJR

The method (Read, plan, check): Find the type of question first: power, square or cube, equation, identity, area or interest? Use the method from that lesson, step by step. Check: square or cube your root back, put equation answers back in, and work interest year by year.

NameDateTime takenScore ___ / 40
  1. 1.Solve: 7t + 7 = t + 85. What is t?
  2. 2.Use (a + b)² = a² + 2ab + b² to find 52².
  3. 3.Use (a + b)² = a² + 2ab + b² to find 54².
  4. 4.The sum of two consecutive whole numbers is 109. What is the smallest of them?
  5. 5.A scooter is worth ₹49400. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
  6. 6.Write 6.9 × 10⁻³ as a decimal. =
  7. 7.Use (a − b)² = a² − 2ab + b² to find 99².
  8. 8.Use (a − b)² = a² − 2ab + b² to find 45².
  9. 9.Use a² − b² = (a + b)(a − b) to find 35² − 26².
  10. 10.What is √5776? =
  11. 11.What is 2³? =
  12. 12.What is √729? =
  13. 13.Solve: 4t + 13 = t + 25. What is t?
  14. 14.Use (a + b)² = a² + 2ab + b² to find 71².
  15. 15.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  16. 16.What is the value of 5⁻¹ (as a fraction)? =
  17. 17.If a − b = 2 and ab = 120, what is a² + b²?
  18. 18.What is the value of 9²? =
  19. 19.Solve: 5(m − 2) = 3m + 4. What is m?
  20. 20.What is the value of 10⁵ × 10⁻⁵? =
  21. 21.The length of a rectangle is 2 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  22. 22.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
  23. 23.How many whole numbers lie between 41² and 42²?
  24. 24.A scooter is worth ₹55900. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
  25. 25.A trapezium has parallel sides of 18 cm and 27 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  26. 26.Use (a + b)(a − b) = a² − b² to find 78 × 62.
  27. 27.A father is 24 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  28. 28.Solve: 6y + 7 = 2y + 63. What is y?
  29. 29.Use (a − b)² = a² − 2ab + b² to find 58².
  30. 30.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
  31. 31.What is √3025? =
  32. 32.A square garden has an area of 2025 square m. How long is each side (in m)?
  33. 33.Which of these is a perfect square? (a) 101 (b) 100 (c) 112
  34. 34.Find the compound interest on ₹15000 at 12% per year for 2 years, compounded every year (in ₹).
  35. 35.Write 3² × 3² as a single power 3ⁿ. What is n?
  36. 36.Which of these is a perfect cube? (a) 82 (b) 64 (c) 70
  37. 37.Which of these is a perfect cube? (a) 2067 (b) 2110 (c) 1728
  38. 38.Write 6⁴ × 6⁶ as a single power 6ⁿ. What is n?
  39. 39.What amount will ₹34800 grow to in 1 year at 8% per year compound interest (in ₹)?
  40. 40.What is the value of 9⁴? =

Answer key

  1. 13
  2. 2704
  3. 2916
  4. 54
  5. 31616
  6. 0.0069
  7. 9801
  8. 2025
  9. 549
  10. 76
  11. 8
  12. 27
  13. 4
  14. 5041
  15. 216
  16. 1/5
  17. 244
  18. 81
  19. 7
  20. 1
  21. 4
  22. 361
  23. 82
  24. 53105
  25. 360
  26. 4836
  27. 10
  28. 14
  29. 3364
  30. 81
  31. 55
  32. 45
  33. 100
  34. 3816
  35. 4
  36. 64
  37. 1728
  38. 10
  39. 37584
  40. 6561

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