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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 498 · 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.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  2. 2.A trapezium has an area of 21 square cm. Its parallel sides are 12 cm and 9 cm. What is the distance between them (in cm)?
  3. 3.What is 63²? =
  4. 4.What is the smallest whole number by which 98 must be multiplied to get a perfect square?
  5. 5.A trapezium has parallel sides of 27 cm and 21 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  6. 6.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  7. 7.A square garden has an area of 1936 square m. How long is each side (in m)?
  8. 8.The sum of two consecutive whole numbers is 13. What is the smallest of them?
  9. 9.What is √9604? =
  10. 10.What is 16³? =
  11. 11.What is 9³? =
  12. 12.What is ∛2744? =
  13. 13.What is 94²? =
  14. 14.A trapezium has parallel sides of 20 cm and 14 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  15. 15.A cuboid is 12 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
  16. 16.What is the smallest whole number by which 405 must be multiplied to get a perfect square?
  17. 17.What amount will ₹8000 grow to in 3 years at 15% per year compound interest (in ₹)?
  18. 18.A scooter is worth ₹37400. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
  19. 19.The diagonals of a rhombus are 18 cm and 6 cm. What is its area (in square cm)?
  20. 20.Find the value of x² − 2xy + y² when x = 10 and y = 3.
  21. 21.What is √1444? =
  22. 22.Solve: 8y + 14 = 3y + 24. What is y?
  23. 23.What is the value of 5⁶ × 5⁻⁶? =
  24. 24.Find the compound interest on ₹55200 at 25% per year for 2 years, compounded every year (in ₹).
  25. 25.What is 72²? =
  26. 26.Which of these is a perfect cube? (a) 64 (b) 110 (c) 82
  27. 27.Which of these is a perfect square? (a) 1089 (b) 1120 (c) 1104
  28. 28.A cuboid is 12 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
  29. 29.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  30. 30.A town has 28100 people. The population grows by 20% every year. What will the population be after 2 years?
  31. 31.What is the value of 3⁴? =
  32. 32.6.4 × 10⁴ =
  33. 33.Use (a − b)² = a² − 2ab + b² to find 73².
  34. 34.What is 53²? =
  35. 35.A cuboid is 6 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
  36. 36.Which of these is a perfect square? (a) 117 (b) 113 (c) 100
  37. 37.What is the smallest whole number by which 150 must be divided to get a perfect square?
  38. 38.Solve: 6(x − 2) = x + 3. What is x?
  39. 39.Use (a + b)² = a² + 2ab + b² to find 51².
  40. 40.A square garden has an area of 3600 square m. How long is each side (in m)?

Answer key

  1. 4
  2. 2
  3. 3969
  4. 2
  5. 48
  6. 11
  7. 44
  8. 6
  9. 98
  10. 4096
  11. 729
  12. 14
  13. 8836
  14. 238
  15. 724
  16. 5
  17. 12167
  18. 30294
  19. 54
  20. 49
  21. 38
  22. 2
  23. 1
  24. 31050
  25. 5184
  26. 64
  27. 1089
  28. 416
  29. 294
  30. 40464
  31. 81
  32. 64000
  33. 5329
  34. 2809
  35. 188
  36. 100
  37. 6
  38. 3
  39. 2601
  40. 60

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