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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 208 · 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 5 must be multiplied to get a perfect cube?
  2. 2.What is 20³? =
  3. 3.Solve: t/6 + t/4 = 30. What is t?
  4. 4.Write 2⁸ ÷ 2⁴ as a single power 2ⁿ. What is n?
  5. 5.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  6. 6.Solve: 3(y − 3) = y + 23. What is y?
  7. 7.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  8. 8.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  9. 9.A square garden has an area of 100 square m. How long is each side (in m)?
  10. 10.A town has 53800 people. The population grows by 10% every year. What will the population be after 2 years?
  11. 11.Find the compound interest on ₹15700 at 10% per year for 2 years, compounded every year (in ₹).
  12. 12.A square garden has an area of 289 square m. How long is each side (in m)?
  13. 13.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  14. 14.A trapezium has parallel sides of 9 cm and 15 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  15. 15.Use (a + b)(a − b) = a² − b² to find 101 × 99.
  16. 16.What is the value of 10² × 10⁻⁴? =
  17. 17.What is the value of 2¹⁵? =
  18. 18.The diagonals of a rhombus are 24 cm and 23 cm. What is its area (in square cm)?
  19. 19.Solve: t/3 + t/2 = 5. What is t?
  20. 20.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
  21. 21.What is √2809? =
  22. 22.Find the compound interest on ₹42500 at 4% per year for 2 years, compounded every year (in ₹).
  23. 23.A cuboid is 8 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
  24. 24.Solve: 5p + 16 = p + 36. What is p?
  25. 25.How many whole numbers lie between 30² and 31²?
  26. 26.Solve: 9y + 20 = 6y + 59. What is y?
  27. 27.The diagonals of a rhombus are 18 cm and 20 cm. What is its area (in square cm)?
  28. 28.A square garden has an area of 1369 square m. How long is each side (in m)?
  29. 29.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  30. 30.Use (a + b)² = a² + 2ab + b² to find 68².
  31. 31.What is the value of 5³ × 5⁻³? =
  32. 32.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  33. 33.Use (a − b)² = a² − 2ab + b² to find 57².
  34. 34.Write 1.9 × 10⁻¹ as a decimal. =
  35. 35.Use (a + b)² = a² + 2ab + b² to find 58².
  36. 36.A cuboid is 8 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
  37. 37.2.7 × 10⁵ =
  38. 38.Solve: 4p + 20 = 2p + 26. What is p?
  39. 39.Write 6.4 × 10⁻³ as a decimal. =
  40. 40.Find the compound interest on ₹11000 at 4% per year for 1 year, compounded every year (in ₹).

Answer key

  1. 25
  2. 8000
  3. 72
  4. 4
  5. 8
  6. 16
  7. 3750
  8. 14
  9. 10
  10. 65098
  11. 3297
  12. 17
  13. 7
  14. 168
  15. 9999
  16. 1/100
  17. 32768
  18. 276
  19. 6
  20. 225
  21. 53
  22. 3468
  23. 224
  24. 5
  25. 60
  26. 13
  27. 180
  28. 37
  29. 5
  30. 4624
  31. 1
  32. 150
  33. 3249
  34. 0.19
  35. 3364
  36. 290
  37. 270000
  38. 3
  39. 0.0064
  40. 440

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