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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 695 · 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.A cuboid is 7 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  2. 2.What is √961? =
  3. 3.What is √9801? =
  4. 4.What is the value of 3³ × 3⁻¹? =
  5. 5.A town has 37500 people. The population grows by 8% every year. What will the population be after 2 years?
  6. 6.Which of these is a perfect cube? (a) 1059 (b) 1167 (c) 1000
  7. 7.Write 3¹⁴ ÷ 3⁶ as a single power 3ⁿ. What is n?
  8. 8.Find the compound interest on ₹15000 at 12% per year for 2 years, compounded every year (in ₹).
  9. 9.What is ∛10648? =
  10. 10.The diagonals of a rhombus are 28 cm and 17 cm. What is its area (in square cm)?
  11. 11.A scooter is worth ₹25600. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
  12. 12.What is the smallest whole number by which 8 must be multiplied to get a perfect square?
  13. 13.Solve: 4n + 7 = 2n + 31. What is n?
  14. 14.Find the compound interest on ₹58000 at 5% per year for 2 years, compounded every year (in ₹).
  15. 15.A father is 11 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  16. 16.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  17. 17.Find the compound interest on ₹23900 at 4% per year for 1 year, compounded every year (in ₹).
  18. 18.What is √7225? =
  19. 19.Which of these is a perfect square? (a) 218 (b) 197 (c) 196
  20. 20.Which of these is a perfect square? (a) 676 (b) 692 (c) 706
  21. 21.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  22. 22.Use a² − b² = (a + b)(a − b) to find 72² − 10².
  23. 23.A room is 6 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  24. 24.Solve: 5(m − 5) = 3m + 23. What is m?
  25. 25.What is the value of 3⁻⁶ (as a fraction)? =
  26. 26.Solve: 4(m − 1) = m + 17. What is m?
  27. 27.Which of these is a perfect cube? (a) 125 (b) 166 (c) 146
  28. 28.Which of these is a perfect square? (a) 1217 (b) 1156 (c) 1189
  29. 29.5.7 × 10⁴ =
  30. 30.A trapezium has parallel sides of 27 cm and 16 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  31. 31.A father is 13 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  32. 32.Use (a + b)² = a² + 2ab + b² to find 25².
  33. 33.A scooter is worth ₹52300. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
  34. 34.Solve: 9t + 4 = 8t + 18. What is t?
  35. 35.Find the value of x² − 2xy + y² when x = 9 and y = 4.
  36. 36.Solve: 6(x − 1) = x + 49. What is x?
  37. 37.What is the value of 6⁶? =
  38. 38.Which of these is a perfect square? (a) 1143 (b) 1089 (c) 1119
  39. 39.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  40. 40.What amount will ₹40000 grow to in 2 years at 4% per year compound interest (in ₹)?

Answer key

  1. 222
  2. 31
  3. 99
  4. 9
  5. 43740
  6. 1000
  7. 8
  8. 3816
  9. 22
  10. 238
  11. 21760
  12. 2
  13. 12
  14. 5945
  15. 7
  16. 1734
  17. 956
  18. 85
  19. 196
  20. 676
  21. 3
  22. 5084
  23. 80
  24. 24
  25. 1/729
  26. 7
  27. 125
  28. 1156
  29. 57000
  30. 301
  31. 7
  32. 625
  33. 50208
  34. 14
  35. 25
  36. 11
  37. 46656
  38. 1089
  39. 20
  40. 43264

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