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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 402 · 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.Write 9¹⁶ ÷ 9⁸ as a single power 9ⁿ. What is n?
  2. 2.Solve: 6(y − 3) = 5y + 10. What is y?
  3. 3.What is the difference between the compound interest and the simple interest on ₹7500 at 12% per year for 2 years (in ₹)?
  4. 4.What amount will ₹7800 grow to in 1 year at 12% per year compound interest (in ₹)?
  5. 5.What is the value of 3⁴ × 3⁻⁵? =
  6. 6.Solve: x/2 + x/6 = 12. What is x?
  7. 7.Solve: y/2 + y/4 = 24. What is y?
  8. 8.A cuboid is 5 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
  9. 9.The sum of four consecutive whole numbers is 98. What is the smallest of them?
  10. 10.Use (a − b)² = a² − 2ab + b² to find 67².
  11. 11.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  12. 12.What is ∛13824? =
  13. 13.What is 25²? =
  14. 14.What is the value of 5² × 5⁻²? =
  15. 15.Write 8¹⁵ ÷ 8⁹ as a single power 8ⁿ. What is n?
  16. 16.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  17. 17.If a + b = 3 and ab = 2, what is a² + b²?
  18. 18.What is √1024? =
  19. 19.What is 6³? =
  20. 20.Write 1,70,00,000 in standard form as 1.7 × 10ⁿ. What is n?
  21. 21.What is the value of 2⁶? =
  22. 22.What is √729? =
  23. 23.Write 1.5 × 10⁻² as a decimal. =
  24. 24.What amount will ₹15700 grow to in 1 year at 25% per year compound interest (in ₹)?
  25. 25.Use (a + b)(a − b) = a² − b² to find 24 × 16.
  26. 26.The diagonals of a rhombus are 20 cm and 6 cm. What is its area (in square cm)?
  27. 27.What is 14³? =
  28. 28.A cuboid is 15 cm long, 8 cm wide and 7 cm high. What is its total surface area (in square cm)?
  29. 29.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  30. 30.A cuboid is 3 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  31. 31.Find the compound interest on ₹3600 at 15% per year for 2 years, compounded every year (in ₹).
  32. 32.What is the value of 2⁴ × 2⁻⁶? =
  33. 33.A square garden has an area of 289 square m. How long is each side (in m)?
  34. 34.Solve: 3(m − 3) = m + 7. What is m?
  35. 35.What is 19³? =
  36. 36.Find the compound interest on ₹2000 at 10% per year for 2 years, compounded every year (in ₹).
  37. 37.A trapezium has parallel sides of 4 cm and 14 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  38. 38.How many whole numbers lie between 50² and 51²?
  39. 39.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  40. 40.If a − b = 4 and ab = 5, what is a² + b²?

Answer key

  1. 8
  2. 28
  3. 108
  4. 8736
  5. 1/3
  6. 18
  7. 32
  8. 236
  9. 23
  10. 4489
  11. 600
  12. 24
  13. 625
  14. 1
  15. 6
  16. 7
  17. 5
  18. 32
  19. 216
  20. 7
  21. 64
  22. 27
  23. 0.015
  24. 19625
  25. 384
  26. 60
  27. 2744
  28. 562
  29. 6
  30. 94
  31. 1161
  32. 1/4
  33. 17
  34. 8
  35. 6859
  36. 420
  37. 171
  38. 100
  39. 2
  40. 26

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